JPH09243912A - Zoom lens - Google Patents

Abstract

PROBLEM TO BE SOLVED: To provide a zoom lens which is compact and has high optical performance without causing parallax nor complicating the constitution of a lens barrel. SOLUTION: This zoom lens is constituted of a 1st group Gr1 being positive, a 2nd group Gr2 being negative, a 3rd group Gr3 being positive and a 4th group Gr4 being negative in order from an object side, and a half prism HP splitting a luminous flux by reflecting the luminous flux after passing through the 2nd group Gr2 is interposed between the 2nd and the 3rd groups Gr2 and Gr3. A lens shutter combined with a diaphragm S1 is arranged in the rear side of the prism HP. In the case of zooming, the prism HP is moved integrally with the 3rd group Gr3 adjacently positioned at the rear of the prism HP.

Description

Detailed Description of the Invention

[0001]

BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a zoom lens. More specifically, the present invention relates to a zoom lens suitable for a lens shutter type single-lens reflex camera.

[0002]

2. Description of the Related Art Since a generally known lens shutter camera is provided with a photographing optical system and a viewfinder optical system as independent optical systems, a parallax is provided between the photographing optical system and the viewfinder optical system. There is a problem that it will occur. In recent years, since a lens shutter camera tends to be equipped with a high-magnification zoom lens, this increase in magnification causes the parallax to increase and the camera to increase in size.

On the other hand, since the single-lens reflex camera has a construction in which the taking optical system also serves as the objective lens of the finder optical system, no parallax occurs between the taking optical system and the finder optical system. However, in a general single-lens reflex camera, a flip-up mirror is arranged behind the photographing optical system, so that there is a problem that the flip-up mirror enlarges the size of the camera. The flip-up mirror causes the camera to become large in size because, firstly, the back-focus is limited by the flip-up mirror arranged behind the photographing optical system. Secondly, since the flip-up mirror reflects the light beam at a position greatly apart from the diaphragm arranged in the middle of the photographing optical system, a large flip-up mirror corresponding to a large light beam diameter at that position is required. Is.

The zoom lens proposed in Japanese Unexamined Patent Publication No. 5-173068 is effective in preventing the parallax and reducing the size of the camera. That is, according to the configuration of this zoom lens, the light flux incident on the zoom lens is 1
The parallax does not occur because the light flux for photographing and the light flux for finder are split by the reflecting means provided in the middle of one zoom group, and the flip-up mirror is unnecessary, so the camera is downsized accordingly. You can do it.

[0005]

The zoom lens proposed in Japanese Patent Laid-Open No. 5-173068 has a reflecting means provided in the middle of one zoom group. When the reflecting means is arranged in the middle of one zoom group in this way, a zoom block in which one zoom group is divided into the front and the rear by the reflecting means must be provided in the lens barrel. Therefore, the structure of the lens barrel becomes complicated, and it becomes difficult to maintain the optical performance of the zoom group in manufacturing.

The present invention has been made in consideration of the above points, and an object thereof is a compact and high optical performance which does not cause parallax and does not complicate the lens barrel structure. It is to provide a zoom lens.

[0007]

In order to achieve the above object, the zoom lens of the present invention comprises a plurality of zoom groups, and the light beams are reflected between the zoom groups to perform light beam division or optical path switching. A zoom lens having means, wherein the reflecting means has a diaphragm and a lens shutter behind the reflecting means, and in zooming, the reflecting means moves integrally with a zoom group positioned adjacent to and behind the reflecting means. And The reflecting means is a light beam splitter having a light semi-transmissive reflecting surface such as a half prism or a half mirror (for example, a pellicle mirror), or an optical path switching device such as a flip-up movable total reflection mirror.

The light flux incident on the zoom lens is divided into two optically equivalent light fluxes or the optical paths are switched by the reflecting means, so that parallax does not occur. Further, since the reflecting means is provided in the middle of the zoom lens, it is possible to shorten the back focus and downsize the reflecting means. Further, since the reflecting means performs the light beam division or the optical path switching by reflecting the light beam between the zoom groups, the lens barrel structure is simpler than that of the structure that reflects the light beam in the middle of one zoom group, and Maintaining the optical performance of the zoom group is easy in manufacturing.

Since a diaphragm and a lens shutter (for example, a lens shutter that also serves as a diaphragm) are provided behind the reflecting means, the luminous flux diameter becomes larger as it is closer to the zoom group located adjacent to the front side of the reflecting means. . On the other hand, in zooming, since the reflecting means moves integrally with the zoom group positioned adjacent to the rear side thereof, the distance between the zoom group positioned adjacent to the rear side of the reflecting means and the reflecting means does not change, The distance between the zoom unit and the reflecting unit located adjacent to the front side of the reflecting unit changes. Therefore, since the light beam diameter to be covered by the reflecting means is small, the reflecting means can be downsized. This structure is advantageous in terms of the lens barrel structure because the weight of the driving mechanism for zooming can be lightened by reducing the size of the reflecting means.

[0010]

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS Hereinafter, a zoom lens embodying the present invention will be described with reference to the drawings. 1, FIG. 3, FIG. 5, FIG. 7, FIG. 9, FIG. 12, FIG. 15, FIG. 18, FIG. 18, FIG. 21, FIG. 23, FIG. 25, FIG. 27, FIG.
FIG. 4 is a lens configuration diagram corresponding to each of the zoom lenses according to Embodiment 4, showing a lens arrangement in a wide-angle end [W] state at infinity shooting. Also, in each lens configuration diagram, ri (i = 1,2,3, ...) is the radius of curvature of the i-th surface counted from the object side, and di (i = 1,2,3, ...). Indicates the i-th axial upper surface distance counted from the object side. In the first to fourteenth embodiments, a half prism HP or a pellicle mirror (a light semi-transmissive pellicle film is used as a reflecting means for dividing a light beam by reflecting the light beam between the zoom groups. Although PM is provided, a reflecting means such as a flip-up movable total reflection mirror that switches the optical path by reflecting a light beam between zoom groups may be used instead of these reflecting means.

<< Positive / Negative / Positive / Negative Four-Group Zoom Lens (First to Tenth Embodiments) >> In the first to tenth embodiments, the positive first group Gr1 is arranged in order from the object side. , Negative second group G
r4, a third lens unit Gr3 having a positive third lens unit and a fourth lens unit Gr4 having a negative lens unit, wherein the first lens unit Gr1 is the first component, the second lens unit Gr2 is the second component, and the third lens unit Gr3 is the third lens unit. The third component and the fourth group Gr4 form the fourth component, respectively.
Then, between the second group Gr2 and the third group Gr3, the second group Gr2
There is provided a half prism HP (first to eighth and tenth embodiments) or a pellicle mirror PM (ninth embodiment) that splits a light flux after reflecting the light flux after passing through the group Gr2. In addition, the first group Gr1 to the fourth group Gr4
Respectively move forward in zooming from the wide-angle end [W] to the telephoto end [T], as indicated by corresponding arrows m1 to m4 in the respective lens configuration diagrams, and the first group Gr1 and the second group Gr1
The distance from the group Gr2 increases, and the second group Gr2 and the third group Gr2
The distance between the third lens unit Gr3 and the fourth lens unit Gr4 becomes narrower.

In the first to tenth embodiments, each group is constructed as follows. The first group Gr1 is composed of, in order from the object side, a negative meniscus lens concave to the image side and a positive meniscus lens convex to the object side, and the image side surface of the negative meniscus lens is an aspherical surface. Second group Gr2
Consists of a biconcave negative lens and a positive meniscus lens convex to the object side in this order from the object side, and the object side surface of the negative lens and the image side surface of the positive meniscus lens are aspherical surfaces. The third group Gr3 includes, in order from the object side, a lens shutter S1 also serving as a diaphragm, a negative meniscus lens concave on the image side,
It is composed of a biconvex positive lens and a light flux regulating plate S2, and the image-side surface of the positive lens is an aspherical surface. 4th group Gr4
Is composed of, in order from the object side, a positive meniscus lens convex to the image side and a biconcave negative lens, and both surfaces of the positive meniscus lens are aspherical surfaces. The lens shutter S1 that also serves as the diaphragm and the light flux regulating plate S2 are compatible in design.

In the zoom lenses according to the first to tenth embodiments, as described above, the half prism HP or the pellicle mirror PM for splitting the light flux by reflecting the light flux after passing through the second group Gr2 is used. , The second group Gr2 and the third group
It is provided between the group Gr3. According to this configuration,
The light flux incident on the zoom lens is split into two optically equivalent light fluxes by the half prism HP or the pellicle mirror PM, so parallax does not occur. Also,
Since the half prism HP or the pellicle mirror PM is provided in the middle of the zoom lens, the back focus can be shortened and the half prism HP or the pellicle mirror PM itself can be miniaturized.

Further, as in the first to tenth embodiments, in the zoom structure including four groups of positive, negative, positive and negative from the object side, the second group Gr2 and the third group Gr3 are arranged between the second group Gr2 and the third group Gr3. Since both the on-axis and off-axis light fluxes pass through the lowest position (that is, near the optical axis AX), the half prism HP or the pellicle mirror P provided between the second group Gr2 and the third group Gr3.
M can be further reduced in the radial direction (that is, the direction perpendicular to the optical axis AX). The size of the half prism HP or the pellicle mirror PM becomes smaller in the optical axis AX direction as the size becomes smaller in the radial direction. Therefore, the miniaturization of the half prism HP or the pellicle mirror PM reduces the distance between the second group Gr2 and the third group Gr3. It is possible to reduce the actual surface distance (that is, the distance between the most image-side lens surface of the second group Gr2 and the most object-side lens surface of the third group Gr3). Therefore, it is possible to reduce the overall length of the zoom lens.

In the first to tenth embodiments, since the half prism HP or the pellicle mirror PM divides the light flux by reflecting the light flux between the zoom groups, the light flux is reflected in the middle of one zoom group. The lens barrel structure is simpler and the optical performance of the zoom group is easier to maintain in manufacturing. Further, in the first to tenth embodiments, the first group Gr1 has a positive power,
By suppressing the height of the axial light flux in the first group Gr1, it is possible to effectively suppress the occurrence of aberration.

As in the first to tenth embodiments, it is desirable that each zoom group includes at least one positive lens and at least one negative lens. According to this configuration, it is possible to realize a compact zoom lens having a high zoom ratio and a corrected aberration in the entire zoom range.

In the zoom lenses according to the first to ninth embodiments, the half prism HP or the pellicle mirror PM moves together with the third lens unit Gr3 during zooming, so that the zoom lens can be made compact. In the zoom configuration that includes four groups of positive, negative, positive, and negative from the object side,
The light flux becomes the thinnest in the vicinity of the group Gr3 (that is, the light is condensed). For this reason, the size of the diameter of the half prism HP or the pellicle mirror PM (that is, the size in the direction perpendicular to the optical axis AX) is the smallest, and as a result, the half prism HP or the pellicle PM is also formed in the optical axis AX direction. It is possible to make the mirror PM small. Since the space efficiency is improved by downsizing the half prism HP or the pellicle mirror PM, it is necessary to reduce the actual surface distance between the second group Gr2 and the third group Gr3 to make the overall length of the zoom lens compact. Can be done.

In the zoom lens according to the tenth embodiment, the half prism HP has the second group G during zooming.
Since it moves integrally with r2, it is possible to reduce the size of the mounted camera. The half prism HP is the second group Gr.
The light beam splitting is performed by reflecting the light beam after passing through two. When the light beam obtained by this is used as the light beam for the finder, a finder optical system corresponding to the zoom group of the third group Gr3 and thereafter is required. If the half prism HP is configured to perform zoom movement integrally with the second group Gr2 as shown in FIG. 23, the half prism HP will perform zoom movement on the front side of the lens barrel. It will be taken out on the front side of the lens barrel. As a result, a sufficient space for arranging the finder optical system for the extracted light beam is provided in the third group G.
It is secured to the side of the zoom group after r3. Therefore, by disposing the finder optical system in this space, the camera can be downsized.

In the zoom lenses according to the fifth to eighth embodiments, the half prism HP is used for focusing.
The second group Gr2 located adjacent to each other immediately before is moved in the optical axis AX direction. According to this configuration,
There are merits in the following points. First, it is possible to reduce the amount of movement for focusing by performing focusing by moving at least the second group Gr2, as compared with performing focusing by moving only the first group Gr1, so the space required for focusing is reduced. Can be small. Therefore, it is advantageous in terms of the structure of the lens barrel, and the total length of the zoom lens can be shortened. Second, from the first group Gr1 to the second group Gr1
Since 2 is lighter in weight, the load on the drive mechanism for focusing can be reduced. Therefore, it is advantageous in terms of the lens barrel structure. Thirdly, when the light flux extracted by the half prism HP is used as the light flux for the finder, focusing is performed with the light flux before the light flux is split, so that the focus state of the imaging system can be visually confirmed through the finder.

In the fifth embodiment, the arrow M2 in FIG. 9 is used.
As shown by, the focusing is performed only by the movement of the second lens unit Gr2. On the other hand, in the sixth to eighth embodiments, as shown by arrows M1 and M2 in FIGS. 12 and 18, and arrows M2a and M2b in FIG. 15, focusing is accompanied by floating.

For example, in the sixth and eighth embodiments, the first focusing is performed as shown in FIGS.
The configuration is such that the distance d4 between the group Gr1 and the second group Gr2 is moved (arrows M1, M2) accompanied by floating in which the distance d4 changes slightly. By the focusing accompanied with the floating, it is possible to correct the negative deviation of the spherical aberration and the positive deviation of the image surface.

In the seventh embodiment, as shown in FIG. 15, during focusing, the distance d6 between the negative lens G3 and the positive lens G4 forming the second lens unit Gr2 is moved with a slight change (floating). The configuration is such that arrows M2a and M2b) are performed. By the focusing accompanied with the floating, it is possible to correct the positive deviation of the image plane and the positive deviation of the distortion.
Note that the effect on the tilt of the image plane and the distortion aberration is
It is apparent from the proximity aberration of Example 7 described later corresponding to the embodiment (see FIG. 17).

In the first to ninth embodiments, since the lens shutter S1 that also serves as a diaphragm is provided behind the half prism HP or the pellicle mirror PM, the luminous flux diameter is on the front side of the half prism HP or the pellicle mirror PM. It becomes larger as it is closer to the second group Gr2 located adjacent to each other.
On the other hand, in the first to ninth embodiments, during zooming, the zoom group (that is, the third group G) in which the half prism HP or the pellicle mirror PM is positioned adjacent to the rear side thereof.
Since it moves together with r3), the distance between the third group Gr3 and the half prism HP or the pellicle mirror PM does not change, and the distance between the second group Gr2 and the half prism HP or the pellicle mirror PM changes. Therefore, the light flux diameter to be covered by the half prism HP or the pellicle mirror PM can be small, so that the half prism HP or the pellicle mirror PM can be downsized. By reducing the size of the half prism HP or the pellicle mirror PM, the load on the driving mechanism for zooming, such as the weight, can be reduced.
This structure is advantageous in terms of the lens barrel structure.

In the zoom lenses according to the first to tenth embodiments, a zoom group (that is, the second group Gr) located immediately adjacent to the half prism HP or the pellicle mirror PM is located.
2) has a negative power, the half prism H
The off-axis light beam incident on P or the pellicle mirror PM forms a small angle with the on-axis light beam (that is, approaches the afocal). Therefore, since the light beam diameter which the half prism HP or the pellicle mirror PM should cover is small, the half prism HP or the pellicle mirror PM is required.
Can be reduced in size. Since the half prism HP or the pellicle mirror PM is miniaturized, the load on the drive mechanism for zooming, such as the weight, can be reduced, and this configuration is advantageous in terms of the lens barrel configuration. Further, even if an off-axis light beam that is afocal with respect to the optical axis AX is reflected by the half prism HP or the pellicle mirror PM, the off-axis light beam after reflection does not spread so much, so that it is located behind the half prism HP or the pellicle mirror PM. The diameter of the optical system (that is, the finder system and the portion of the photographing system located behind the reflecting means) can be small. As described above, the size reduction of the zoom lens and the viewfinder system is achieved by the size reduction of the half prism HP or the pellicle mirror PM and the optical system located behind it.

In the zoom lenses according to the third and fourth embodiments, as shown in FIGS. 5 and 7, the first lens unit Gr1 located in front of the half prism HP during zooming.
And the fourth group Gr4 located behind the half prism HP.
And are configured to move by linking. The advantages of the link configuration of the zoom group positioned in front of the half prism HP and the zoom group positioned behind the half prism HP in such zooming will be described below.

Originally, from an optical point of view, the greater the degree of freedom in design, the more optically advantageous. Therefore, in a zoom lens, it is advantageous for aberration correction to perform zooming while each zoom group moves independently. is there. However, when the half prism HP is provided between the zoom groups as described above, in order to take out the light beam reflected by the half prism HP (for example, as the light beam for the finder) to the outside of the zoom lens, the lens barrel structure is complicated by that much. Will have to. For example, for the zoom cam ring that straddles the portion where the light beam is extracted to the outside of the zoom lens, it is preferable that the zoom cam ring goes straight during zooming in order to extract the reflected light beam from the half prism HP to the outside of the zoom lens. It has to be a complicated structure.

If the above-mentioned link structure is adopted for zooming, the number of zoom cams for moving the zoom group can be reduced by one. Therefore, the lens barrel structure can be simplified by reducing the number of parts, which is very advantageous in terms of the lens barrel structure. Further, even when a part of the finder system is provided in the lens barrel of the zoom lens, the lens barrel structure can be simplified by the above-described link structure, so that the zoom cam ring can be omitted, and the lens barrel can be omitted. Can be miniaturized in the radial direction. As described above, the above-mentioned link structure is particularly effective in a zoom lens provided with a reflection unit that splits a light beam or switches an optical path by reflecting a light beam between zoom groups.

In the positive / negative / positive / negative four-group zoom lens in which the half prism HP is arranged between the second group Gr2 and the third group Gr3, as in the third and fourth embodiments. It is particularly desirable to adopt the above-mentioned link configuration of the first group Gr1 and the fourth group Gr4. In the positive / negative / positive / negative four-group zoom lens, the moving amounts of the first group Gr1 and the fourth group Gr4 are larger than the moving amounts of the other zoom groups. This is because it is difficult, but if the above-mentioned link structure is adopted, the lens barrel structure can be facilitated.

It is desirable to satisfy the following conditional expression (1) in order to achieve a compact zoom lens. 0.1 <BFW / Y '<1.0 (1) However, BFW: Back focus at wide-angle end Y': Image height (1/2 of screen diagonal).

If the upper limit of conditional expression (1) is exceeded, the back focus becomes too long, and the overall length of the zoom lens also becomes long, making it difficult to achieve compactness. Conditional expression
Beyond the lower limit of (1), the back focus becomes shorter,
Although it is advantageous in terms of shortening the overall length of the zoom lens, it is necessary to increase the rear lens diameter in order to secure the peripheral illuminance, which is disadvantageous in achieving compactness in the radial direction.

It is desirable that the following conditional expression (2) is satisfied in order to realize a compact zoom lens having a high zoom ratio while maintaining high optical performance. 3.5 <fT / fW (2) where fW: focal length of the entire system at the wide-angle end fT: focal length of the entire system at the telephoto end

In a zoom lens having a zoom ratio satisfying the conditional expression (2), the size of the camera and the occurrence of parallax remarkably occur when the reflecting means of the lens back portion is provided. Therefore, in the zoom lens satisfying the conditional expression (2), the effect of providing the reflecting means between the second group Gr2 and the third group Gr3 becomes remarkable.

In order to provide the reflecting means such as the half prism HP between the second group Gr2 and the third group Gr3, the following conditional expression is satisfied with the reflecting means such as the half prism HP included.
It is desirable to satisfy (3). 0.25 <T (2-3) / fW (3) However, T (2-3): The lens surface closest to the image side of the second group at the wide-angle end and the third
It is the distance from the lens surface closest to the object in the group.

If the lower limit of conditional expression (3) is exceeded, the second lens unit Gr
Since the distance T (2-3) between the second lens unit 3 and the third lens unit Gr3 becomes too small, it is difficult to arrange the reflecting means between the second lens unit Gr2 and the third lens unit Gr3 due to the lens barrel structure.

It is desirable that the second lens unit Gr2 and the third lens unit Gr3 satisfy the following conditional expression (4) with respect to the zoom movement amount. 0.5 <M2 / M3 <0.95 (4) However, M2: The amount of movement of the second group during zooming from the wide-angle end to the telephoto end M3: The amount of movement of the third group during zooming from the wide-angle end to the telephoto end.

If the upper limit of conditional expression (4) is exceeded, the second lens unit Gr
Since the movements of the second group 3 and the third group Gr3 during zooming are almost the same, only the same effect as that of the third group zoom can be obtained, and if an attempt is made to achieve a high zoom ratio, the optical system becomes large due to an increase in the amount of movement. . When the value goes below the lower limit of conditional expression (4), the difference in the amount of movement between the second lens unit Gr2 and the third lens unit Gr3 becomes large, so that the distance between the second lens unit Gr2 and the third lens unit Gr3 becomes wide at the wide-angle end. Therefore, the third group Gr
Since the height of the axial light flux incident on the third lens group 3 becomes high and the burden of the third lens unit Gr3 on the aberration correction becomes large, it becomes difficult to correct the spherical aberration and the total length at the wide angle end increases.

Next, the structural features of each zoom group will be described. First, the first group Gr1 will be described. First to first
In the embodiment of No. 0, the first group Gr1 is composed of two lenses, a negative lens and a positive lens, in order from the object side. With this configuration, the off-axis light flux that has passed through the negative lens is incident on the positive lens at an angle that is less than the angle of incidence on the negative lens, so aberration correction of the off-axis light flux on the wide-angle side with a tight angle of view is possible. It will be easier.

It is desirable that the first lens unit Gr1 satisfy the following conditional expression (5). 0.4 <f1 / fT <0.7 (5) where f1: is the focal length of the first lens unit.

If the upper limit of conditional expression (5) is exceeded, negative distortion will occur remarkably on the wide-angle side, and spherical aberration will tend to fall to the over side on the telephoto side.
If the lower limit of conditional expression (5) is exceeded, the power of the first lens unit Gr1 will become too strong, and thus positive distortion will occur remarkably on the wide-angle side and spherical aberration will tend to fall toward the under side on the telephoto side.

If an aspherical surface is used in the first lens unit Gr1 as in the first to tenth embodiments, better optical performance can be obtained. An aspherical surface has a height y in the direction perpendicular to the optical axis of 0.5Ymax <y <Ymax, where Ymax is the maximum effective optical path diameter of the aspherical surface.
On the other hand, it is desirable to satisfy the following conditional expression (6). -0.04 <φ1 ・ (N'-N) ・ d {X (y) -X0 (y)} / dy <0.005 (6) where φ1: power of the first group N: of the aspherical object side medium Refractive index N ': Refractive index of aspherical image side medium X (y): Surface shape of aspherical surface X0 (y): Reference spherical surface shape of aspherical surface.

Further, X (y) and X0 (y) are expressed by the following formulas (A) and
It is represented by (B). X (y) = (r / ε) ・ [1- {1-ε ・ (y ² / r ² )} ^1/2 ] + ΣAiy ⁱ (where i ≧ 2) ... (A) X0 (y) ＝ r # ・ [1- {1-ε ・ (y ² / r # ² )} ^1/2 ]… (B)

However, in the formulas (A) and (B), r: reference radius of curvature of aspherical surface ε: quadric surface parameter Ai: aspherical coefficient of i-th order r #: paraxial radius of curvature of aspherical surface {here , 1 / r # = (1 / r) + 2 · A2}.

Conditional expression (6) is a condition for correcting off-axis aberrations (especially distortion) on the wide-angle side and spherical aberration on the telephoto side in a well-balanced manner. If the upper limit of conditional expression (6) is exceeded, negative distortion will occur remarkably on the wide-angle side, and spherical aberration will tend to fall to the over side on the telephoto side. When the value goes below the lower limit of the conditional expression (6), the positive distortion becomes large on the wide angle side, and the spherical aberration tends to fall to the under side on the telephoto side.

Next, a desirable configuration for the second lens unit Gr2 will be described. The second group Gr2 is a negative lens closest to the object side,
It is desirable that the positive lens is arranged closest to the image side. Further, as in the first to tenth embodiments,
It is preferable that the two lenses are composed of a negative lens and a positive lens in order from the object side. With this configuration, it becomes easy to set the back focus to a predetermined length, and it becomes easy to correct coma and spherical aberration in a good balance in the entire zoom range.

The negative lens arranged closest to the object in the second lens unit Gr2 preferably satisfies the following conditional expression (7). 1.0 <(R1-R2) / (R1 + R2) <2.0 (7) where R1: radius of curvature of the object side surface of the negative lens R2: radius of curvature of the image side surface of the negative lens.

Conditional expression (7) defines a shape factor that represents the shape of the negative lens arranged closest to the object in the second lens unit Gr2, and balances spherical aberration and coma. This is the condition for correction. Conditional expression
When the value exceeds the upper limit of (7), spherical aberration tends to fall to the over side, and an outward coma occurs. If the lower limit of conditional expression (7) is exceeded, spherical aberration will tend to fall toward the under side, and inward coma will occur.

In order to realize a compact zoom lens having high optical performance, the second lens unit Gr2 has the following conditional expression:
It is desirable to satisfy (8) and (9). 0.05 <D2 / fW <0.40 (8) 0.01 <D2 / fT <0.08 (9) where D2 is the thickness of the second lens group in the optical axis direction (the lens surface closest to the object side and the lens surface closest to the image side). And the axial upper surface distance).

When the upper limits of conditional expressions (8) and (9) are exceeded, the total length increases and the front lens diameter (the diameter of the first group Gr1) increases because the first group Gr1 becomes far from the entrance pupil. I will end up. If the lower limits of conditional expressions (8) and (9) are exceeded, it will be difficult to perform sufficient aberration correction, particularly chromatic aberration in a well-balanced manner over the entire zoom range, and even if correction is possible, the second lens unit Gr2 is configured. Since the lens to be used becomes too thin, it becomes an optical system that is almost impossible to process.

If an aspherical surface is used in the second lens unit Gr2 as in the first to tenth embodiments, better optical performance can be obtained. It is desirable that the aspherical surface satisfy the following conditional expression (10) for any height y in the vertical direction of the optical axis, where 0 <y <Ymax. -0.1 <φ2 ・ (N'-N) ・ d {X (y) -X0 (y)} / dy <0.01 (10) where φ2 is the power of the second group.

If the upper limit of conditional expression (10) is exceeded, the spherical aberration tends to fall toward the under side over the entire zoom range, flare of off-axis light rays significantly occurs at the telephoto side, and outwardness at the wide angle side occurs. Coma occurs. If the lower limit of conditional expression (10) is exceeded, the spherical aberration will tend to fall to the over side over the entire zoom range, and the flare of the off-axis light beam will become overcorrected at the telephoto side, and the inward direction at the wide-angle side. Comatic aberration occurs.

In the second lens unit Gr2, the aspherical surface is the lens closest to the object side (preferably the object side surface) or the lens closest to the image side.
It is desirable to provide it (preferably on the image side surface). According to the former configuration, it becomes easy to correct coma on the wide angle side. On the other hand, the latter configuration facilitates correction of spherical aberration.

If the lens provided with the aspherical surface is a double-sided aspherical lens, or if an aspherical surface is provided on the most object side surface and the most image side surface of the second lens unit Gr2, spherical aberration and off-axis light flux on the telephoto side will occur. The flare and coma on the wide-angle side can be corrected in a better balance. In other words, it becomes possible to correct the spherical aberration, flare, and coma aberrations on one aspherical surface by the other aspherical surface. On this occasion,
It is desirable that all the aspherical surfaces satisfy the conditional expression (10).

It is desirable that the second lens unit Gr2 satisfy the following conditional expression (11). 0.1 <| f2 | / fT <0.5 (11) where f2 is the focal length of the second lens group.

If the upper limit of conditional expression (11) is exceeded, the second lens unit Gr
Since the power of 2 becomes too weak, the total length at the wide-angle end increases, and the second lens unit Gr during zooming also increases.
The moving amount of 2 increases, which causes an increase in the total length at the telephoto end. If the lower limit of conditional expression (11) is exceeded, the second lens unit Gr
Since the power of 2 becomes too strong, an inward coma is generated on the wide angle side, and the spherical aberration tends to fall to the over side on the telephoto side.

Next, a desirable structure of the third lens unit Gr3 will be described. In order to realize a compact zoom lens having high optical performance, the third lens unit Gr3 has the following conditional expression (1
It is desirable to satisfy 2) and (13). 0.05 <D3 / fW <0.40 (12) 0.01 <D3 / fT <0.08 (13) However, D3: Thickness of the third lens unit in the optical axis direction (lens surface closest to object side and lens surface closest to image side) And the axial upper surface distance).

If the upper limits of conditional expressions (12) and (13) are exceeded, the total length increases and the back focus becomes short, so that the rear lens diameter (the diameter of the fourth lens unit Gr4) increases. Conditional expression (1
If the lower limits of 2) and (13) are exceeded, it will be difficult to perform sufficient aberration correction, especially chromatic aberration in a well-balanced manner over the entire zoom range, and even if correction is possible, the lenses constituting the third lens unit Gr3 Since it becomes too thin, the optical system becomes almost impossible to process.

If an aspherical surface is used in the third lens unit Gr3 as in the first to tenth embodiments, better optical performance can be obtained. It is desirable that the aspherical surface satisfy the following conditional expression (14) for any height y in the vertical direction of the optical axis, where 0 <y <Ymax. -0.01 <φ3 ・ (N'-N) ・ d {X (y) -X0 (y)} / dy <0.003 (14) where φ3 is the power of the third group.

If the upper limit of conditional expression (14) is exceeded, spherical aberration tends to fall toward the under side over the entire zoom range, and inward coma occurs at the wide-angle side. If the lower limit of conditional expression (14) is exceeded, the spherical aberration will tend to fall to the over side over the entire zoom range, and outward coma will occur on the wide angle side.

In the third lens unit Gr3, the aspherical surface is the lens closest to the object side (preferably the object side surface) or the lens closest to the image side.
It is desirable to provide it (preferably on the image side surface). According to the former configuration, it becomes easy to correct spherical aberration. On the other hand, the latter configuration facilitates correction of coma aberration.

It is desirable that the third lens unit Gr3 satisfy the following conditional expression (15). 0.1 <f3 / fT <0.5 (15) where f3 is the focal length of the third lens unit.

If the upper limit of conditional expression (15) is exceeded, the third lens unit Gr
Since the power of 3 becomes too weak, the total length at the wide-angle end increases, and the third lens unit Gr during zooming also increases.
The moving amount of 3 increases, and the total length at the telephoto end increases. If the lower limit of conditional expression (15) is exceeded, the third group Gr
Since the power of 3 becomes too strong, the spherical aberration tends to fall to the under side over the entire zoom range.

Next, a desirable structure of the fourth lens unit Gr4 will be described. It is desirable that the fourth lens unit Gr4 has a configuration in which a positive lens is arranged closest to the object side and a negative lens is arranged closest to the image side. With this telephoto type configuration, the back focus can be shortened to the necessary minimum. More preferably, as in the first to tenth embodiments, it is preferable to have a two-lens configuration of a positive lens and a negative lens in order from the object side. With this configuration, the fourth group Gr4 is made thinner in the optical axis direction. Therefore, the zoom lens can be made compact.

If an aspherical surface is used in the fourth lens unit Gr4 as in the first to tenth embodiments, better optical performance can be obtained. It is desirable that the aspherical surface satisfy the following conditional expression (16) for any height y in the direction perpendicular to the optical axis, where 0.5Ymax <y <Ymax. -0.05 <φ4 ・ (N'-N) ・ d {X (y) -X0 (y)} / dy <0.01 (16) where φ4 is the power of the fourth group.

When the upper limit of conditional expression (16) is exceeded, positive distortion aberration and positive excursion of field curvature become remarkable in the intermediate focal length range from the wide-angle end, and spherical aberration falls to the over side on the telephoto side. Will end up. When the value goes below the lower limit of the conditional expression (16), negative distortion aberration and negative excursion of field curvature become remarkable in the intermediate focal length range from the wide-angle end, and spherical aberration falls to the under side on the telephoto side.

If the lens provided with the aspherical surface is a double-sided aspherical lens, or if an aspherical surface is provided on the most object side and the image side of the fourth lens unit Gr4, spherical aberration, distortion,
The field curvature can be corrected in a better balance. That is, it becomes possible to correct spherical aberration, distortion, and curvature of field on one aspherical surface by the other aspherical surface. At this time, any of the aspherical surfaces has the above conditional expression (16).
It is desirable to satisfy

It is desirable that the fourth lens unit Gr4 satisfy the following conditional expression (17). 0.1 <| f4 | / fT <0.4 (17) where f4 is the focal length of the fourth lens unit.

When the upper limit of conditional expression (17) is exceeded, the fourth lens unit Gr
Since the power of 4 becomes too weak, the total length at the wide-angle end increases. If the lower limit of conditional expression (17) is exceeded, the fourth
Since the power of the group Gr4 becomes too strong, a positive distortion is significantly generated, and the spherical aberration on the telephoto side tends to fall to the over side.

<< In a positive / negative / positive / negative four-component configuration,
Fifth group zoom lens in which the first component performs floating zoom movement (the eleventh embodiment) >> The eleventh embodiment is, in order from the object side, a negative first group Gr1 and a positive second group G.
r2, a negative third lens unit Gr3, a positive fourth lens unit Gr4, and a negative fifth lens unit Gr5, and a zoom lens having a five-unit structure. The first lens unit Gr1 and the second lens unit Gr2 are the first component and the third lens unit. Gr3 constitutes the second component, the fourth group Gr4 constitutes the third component, and the fifth group Gr5 constitutes the fourth component. And the third group Gr3
A half prism HP is provided between the third group Gr4 and the fourth group Gr4 to reflect the light beam after passing through the third group Gr3. Also, the first group Gr1 to the fifth group G
r5 is the corresponding arrow m1 in the lens configuration diagram of FIG.
As indicated by m5, each of the first group G moves forward in zooming from the wide-angle end [W] to the telephoto end [T].
The distance between r1 and the second group Gr2 is narrowed, the distance between the second group Gr2 and the third group Gr3 is widened, the distance between the third group Gr3 and the fourth group Gr4 is narrowed, and the fourth group Gr4 and the fifth group. Gr5
The space between and becomes narrower.

In the eleventh embodiment, each group is constructed as follows. The first group Gr1 is composed of a negative meniscus lens concave on the image side, and its image-side surface is an aspherical surface. The second group Gr2 is composed of a positive meniscus lens convex on the object side. The third group Gr3 is composed of, in order from the object side, a biconcave negative lens and a positive meniscus lens convex to the object side. The object side surface of the negative lens and the image side surface of the positive meniscus lens are not It is a sphere. 4th group G
Reference numeral r4 comprises, in order from the object side, a lens shutter S1 also serving as a diaphragm, a negative meniscus lens concave to the image side, a biconvex positive lens and a light flux regulating plate S2, and the image side surface of the positive lens is an aspherical surface. Is. The fifth group Gr5 is composed of, in order from the object side, a positive meniscus lens having a convex surface on the image side and a biconcave negative lens, and both surfaces of the positive meniscus lens are aspherical surfaces. The lens shutter S1 that also serves as the diaphragm and the light flux regulating plate S2 are compatible in design.

In the eleventh embodiment, as shown in FIG. 25, the first group G is used in zooming from the wide-angle side to the telephoto side.
This is a five-group zoom lens in which the distance d2 between r1 and the second group Gr2 is slightly narrowed. That is, in the positive / negative / positive / negative four-component zoom configuration, the first component is divided into the negative first group Gr1 and the positive second group Gr2 to perform floating zoom movement. . This floating makes it possible to correct spherical aberration on the telephoto side and tilt of the image plane in the negative direction. Also, in this way, the half prism HP
If the zoom group located in the front is composed of three groups of negative, positive, and negative from the object side, the angle of the off-axis light flux incident on the zoom group located behind the negative first group Gr1 becomes weak,
Aberration correction in the lens after that becomes advantageous.

A half prism HP is provided in the middle of the zoom lens.
If such a reflecting means is to be provided, the uniqueness of the zoom group positioned in front of the zoom group and the zoom group positioned in the rear of the zoom group becomes stronger, so that aberrations can be corrected well in front of and behind the half prism HP. Must be broken. In the eleventh embodiment, three zoom groups are provided in front of the half prism HP, so that aberrations can be sufficiently corrected in front of the half prism HP. On the other hand, since the positive fourth lens unit Gr4 and the negative fifth lens unit Gr5 are provided behind the half prism HP, the aberrations after the half prism HP can be sufficiently corrected.

Further, since the first group Gr1 to the third group Gr3 located in front of the half prism HP can obtain a sufficient amount of zooming, when the light beam is guided to the finder system by the light beam splitting in the half prism HP. In addition, the load on the finder system due to zooming is reduced. Since the burden is reduced, it is possible to simplify the structure of the finder system while achieving a high zoom ratio of the zoom lens.

In the zoom lens according to the eleventh embodiment, as described above, the half prism HP for splitting the light flux by reflecting the light flux after passing through the third group Gr3.
Are provided between the third group Gr3 and the fourth group Gr4. According to this configuration, the light flux incident on the zoom lens is split into two optically equivalent light fluxes by the half prism HP, so parallax does not occur. Also,
Since the half prism HP is provided in the middle of the zoom lens, the back focus can be shortened and the half prism HP itself can be downsized.

Furthermore, in the positive / negative / positive / negative four-component zoom configuration as in the eleventh embodiment, the first component is divided into a negative first group Gr1 and a positive second group Gr2. To perform a floating zoom movement.
In the positive / negative / positive / negative four-component zoom configuration, the third group Gr
Since both the on-axis and off-axis light fluxes pass through the lowest position (that is, near the optical axis AX) between the third lens unit Gr4 and the fourth lens unit Gr4, they are provided between the third lens unit Gr3 and the fourth lens unit Gr4. The half prism HP provided can be further reduced in the radial direction (that is, the direction perpendicular to the optical axis AX). Since the half prism HP also becomes smaller in the optical axis AX direction when it becomes smaller in the radial direction, the real surface spacing (that is, the first lens group Gr3 and the fourth group Gr4) is reduced by downsizing the half prism HP. The most image side lens surface of the third group Gr3 and the fourth group Gr4
Distance from the lens surface closest to the object side) can be reduced. Therefore, it is possible to reduce the overall length of the zoom lens.

In the eleventh embodiment, since the half prism HP splits the light flux by reflecting the light flux between the zoom groups, the lens barrel configuration is more advantageous than the configuration in which the light flux is reflected in the middle of one zoom group. It is simple and easy to maintain the optical performance of the zoom group in terms of manufacturing. Also,
In the eleventh embodiment, since the first lens unit Gr1 has a positive power, by suppressing the height of the axial light flux in the first lens unit Gr1, it is possible to effectively suppress the occurrence of aberration. it can.

In the zoom lens according to the eleventh embodiment, the half prism HP is moved to the fourth group G during zooming.
Since it moves integrally with r4, the zoom lens can be made compact. As mentioned above, practically positive (negative / positive)
In the negative / positive / negative four-component zoom configuration, the luminous flux becomes the thinnest in the vicinity of the fourth group Gr4 (that is, the light is condensed). Therefore, the size of the diameter of the half prism HP (that is, the optical axis AX
(The size in the vertical direction) is the smallest, and as a result, it is possible to make the half prism HP small also in the optical axis AX direction. Since the space efficiency is improved due to the miniaturization of the half prism HP, it is possible to reduce the actual surface distance between the third group Gr3 and the fourth group Gr4 and to make the overall zoom lens compact. .

In the eleventh embodiment, since the lens shutter S1 that also serves as the diaphragm is provided behind the half prism HP, the light beam diameter is close to that of the third group Gr3 located adjacent to the front side of the half prism HP. The bigger it gets. On the other hand, in the eleventh embodiment, in zooming, the half prism HP moves integrally with the zoom group (that is, the fourth group Gr4) positioned adjacent to the rear side of the half prism HP, so that the fourth group Gr4 and the half prism are moved. The distance between HP and HP does not change, and the distance between the third lens unit Gr3 and the half prism HP changes. Therefore, the beam diameter to be covered by the half prism HP can be small, and the half prism HP can be downsized. This structure is advantageous in terms of the lens barrel structure because the size of the half prism HP can be reduced so that the weight of the driving mechanism for zooming can be reduced.

In the zoom lens according to the eleventh embodiment, the zoom group (that is, the third group) located immediately before the half prism HP and adjacent to each other has negative power.
The off-axis light beam incident on the half prism HP makes a small angle with the on-axis light beam (that is, approaches the afocal). Therefore, since the light beam diameter that the half prism HP should cover is small, the half prism HP
Can be reduced in size. This structure is advantageous in terms of the lens barrel structure because the size of the half prism HP can be reduced so that the weight of the driving mechanism for zooming can be reduced. Furthermore, even if an off-axis light beam that is near afocal with respect to the optical axis AX is reflected by the half prism HP, the off-axis light beam after reflection does not spread so much, so an optical system located behind the half prism HP (ie, a finder). The diameter of the system and the portion of the photographing system located behind the reflecting means) can be small. As described above, the miniaturization of the zoom lens and the viewfinder system is achieved by miniaturization of the half prism HP and the optical system located behind it.

Also in the eleventh embodiment, it is desirable that the above conditional expression (1) is satisfied in order to achieve compactness of the zoom lens, and that the above conditional expression (2) is satisfied. It is desirable to realize a compact zoom lens with high zoom ratio while maintaining high optical performance.

In order to provide the reflecting means such as the half prism HP between the third group Gr3 and the fourth group Gr4, the following conditional expression (3a) should be provided with the reflecting means such as the half prism HP included. It is desirable to satisfy. 0.25 <T (3-4) / fW (3a) However, T (3-4): The lens surface closest to the image side of the third lens group at the wide-angle end and the fourth lens surface.
It is the distance from the lens surface closest to the object in the group.

If the lower limit of conditional expression (3a) is exceeded, the third lens unit Gr
Since the interval T (3-4) between the third lens unit Gr4 and the fourth lens unit Gr4 becomes too small, it is difficult to dispose the reflecting means between the third lens unit Gr3 and the fourth lens unit Gr4 in terms of the lens barrel structure.

It is desirable that the third lens unit Gr3 and the fourth lens unit Gr4 satisfy the following conditional expression (4a) with respect to the zoom movement amount. 0.5 <M3 / M4 <0.95 (4a) where M4 is the amount of movement of the fourth lens unit during zooming from the wide-angle end to the telephoto end.

If the upper limit of conditional expression (4a) is exceeded, the third lens unit Gr
Since the movements of the third and fourth groups Gr4 during zooming are almost the same, only the same effect as that of the third group zoom can be obtained, and when attempting to achieve a high zoom ratio, the optical system becomes large due to an increase in the amount of movement. . When the value goes below the lower limit of the conditional expression (4a), the movement amount difference between the third lens unit Gr3 and the fourth lens unit Gr4 becomes large, so that the distance between the third lens unit Gr3 and the fourth lens unit Gr4 widens at the wide-angle end. Therefore, the fourth group Gr
The height of the on-axis light beam entering 4 becomes high, it becomes difficult to correct spherical aberration, and the total length at the wide-angle end is increased.

Next, the structural features of each zoom group will be described. First, the first group Gr1 and the second group Gr2 will be described. In the eleventh embodiment, the first group Gr1 is composed of a negative lens and the second group Gr2 is composed of a positive lens. With this configuration, the off-axis light flux that has passed through the negative lens is incident on the positive lens at an angle that is less than the angle of incidence on the negative lens, so aberration correction of the off-axis light flux on the wide-angle side with a tight angle of view is possible. It will be easier.

It is desirable that the first group Gr1 and the second group Gr2 satisfy the following conditional expression (5a). 0.4 <f1,2 / fT <0.7 (5a) where f1,2 is the combined focal length of the first group and the second group.

If the upper limit of conditional expression (5a) is exceeded, negative distortion will occur remarkably on the wide angle side, and spherical aberration will tend to fall to the over side on the telephoto side.
When the lower limit of conditional expression (5a) is exceeded, the first group Gr1 and the second group G1
Since the combined power with r2 becomes too strong, positive distortion is remarkably generated on the wide angle side, and the spherical aberration is apt to fall to the under side on the telephoto side.

As in the eleventh embodiment, the first group Gr1
If an aspherical surface is used therein or an aspherical surface is used in the second lens unit Gr2, even better optical performance can be obtained. Aspherical surface is 0.5Y
It is desirable that the following conditional expression (6a) be satisfied for any height y in the direction perpendicular to the optical axis, where max <y <Ymax. -0.04 <φ1,2 ・ (N'-N) ・ d {X (y) -X0 (y)} / dy <0.005 (6a) where φ1,2: Composition of the first and second groups Power.

Conditional expression (6a) is a condition for correcting off-axis aberrations (particularly distortion) on the wide-angle side and spherical aberration on the telephoto side in a well-balanced manner. When the upper limit of conditional expression (6a) is exceeded,
Negative distortion occurs remarkably on the wide-angle side,
At the telephoto side, the spherical aberration tends to fall to the over side. When the value goes below the lower limit of the conditional expression (6a), the positive distortion becomes large on the wide-angle side, and the spherical aberration tends to fall to the under side on the telephoto side.

Next, a desirable configuration for the third lens unit Gr3 will be described. The third lens unit Gr3 has a negative lens closest to the object side,
It is desirable that the positive lens is arranged closest to the image side. Further, as in the eleventh embodiment, it is composed of two negative lenses and positive lenses in order from the object side. desirable. With this configuration, it becomes easy to set the back focus to a predetermined length, and it becomes easy to correct coma and spherical aberration in a good balance in the entire zoom range.

It is desirable that the negative lens arranged closest to the object in the third lens unit Gr3 satisfies the above-mentioned conditional expression (7). The third group Gr3 in the eleventh embodiment has a first
Since it corresponds to the second lens unit Gr2 in the tenth embodiment, the significance of satisfying the conditional expression (7) is the same as in the first to tenth embodiments.

In order to realize a compact and high-performance zoom lens, the third lens unit Gr3 has the following conditional expression:
It is desirable to satisfy (8a) and (9a). 0.05 <D3 / fW <0.40… (8a) 0.01 <D3 / fT <0.08… (9a)

When the upper limits of conditional expressions (8a) and (9a) are exceeded, the total length increases and the front lens diameter (the diameter of the first group Gr1) increases because the first group Gr1 becomes far from the entrance pupil. I will end up. If the lower limits of conditional expressions (8a) and (9a) are exceeded, it will be difficult to perform sufficient aberration correction, especially chromatic aberration correction. Even if correction is possible, the optical system will be almost impossible to process. I will end up.

As in the eleventh embodiment, the third lens unit Gr3
If an aspherical surface is used, better optical performance can be obtained. The aspherical surface has a height y in the direction perpendicular to the optical axis with 0 <y <Ymax.
On the other hand, it is desirable to satisfy the following conditional expression (10a). -0.1 <φ3 ・ (N'-N) ・ d {X (y) -X0 (y)} / dy <0.01… (10
a)

If the upper limit of conditional expression (10a) is exceeded, the spherical aberration tends to fall toward the under side over the entire zoom range, flare of off-axis light rays significantly occurs at the telephoto side, and outwardness at the wide angle side occurs. Coma occurs. If the lower limit of conditional expression (10a) is exceeded, the spherical aberration tends to fall to the over side over the entire zoom range, and
On the telephoto side, the tendency for overcorrection of flare of off-axis light beams becomes remarkable, and inward coma occurs on the wide-angle side.

In the third lens unit Gr3, the aspherical surface is the lens closest to the object side (preferably the object side surface) or the lens closest to the image side.
It is desirable to provide it (preferably on the image side surface). According to the former configuration, it becomes easy to correct coma on the wide angle side. On the other hand, the latter configuration facilitates correction of spherical aberration.

If the lens provided with the aspherical surface is a double-sided aspherical lens, or if an aspherical surface is provided on the most object side surface and the most image side surface, spherical aberration, flare of off-axis light beam on the telephoto side, and wide angle side. It is possible to correct coma aberration in a more balanced manner. In other words, it becomes possible to correct the spherical aberration, flare, and coma aberrations on one aspherical surface by the other aspherical surface. At this time, it is desirable that all the aspherical surfaces satisfy the above-mentioned conditional expression (10a).

It is desirable that the third lens unit Gr3 satisfy the following conditional expression (11a). 0.1 <| f3 | / fT <0.5 (11a)

If the upper limit of conditional expression (11a) is exceeded, the third lens group G
Since the power of r3 becomes too weak, the total length at the wide-angle end increases and the third lens unit G during zooming
The amount of movement of r3 increases, causing an increase in the total length at the telephoto end. If the lower limit of conditional expression (11a) is exceeded, the power of the third lens unit Gr3 becomes too strong, so that an internal coma occurs on the wide-angle side, and the spherical aberration tends to fall to the over side on the telephoto side. .

Next, a desirable structure of the fourth lens unit Gr4 will be described. Substantially positive (negative / negative) as in the eleventh embodiment.
In the positive / negative / positive / negative four-component zoom configuration, the fourth lens unit Gr4 must satisfy the following conditional expressions (12a) and (13a) in order to realize a compact zoom lens having high optical performance. Is desirable. 0.05 <D4 / fW <0.40… (12a) 0.01 <D4 / fT <0.08… (13a) where D4 is the thickness of the fourth lens unit in the optical axis direction (the lens surface closest to the object side and the lens surface closest to the image side). And the axial upper surface distance).

When the upper limits of conditional expressions (12a) and (13a) are exceeded, the total length increases and the back focus becomes short, so the rear lens diameter (the diameter of the fifth lens unit Gr5) increases. Conditional expression
When the lower limits of (12a) and (13a) are exceeded, it becomes difficult to perform sufficient aberration correction, particularly chromatic aberration correction, and even if correction is possible, the optical system will be almost impossible to process.

As in the eleventh embodiment, the fourth lens unit Gr4
If an aspherical surface is used, better optical performance can be obtained. The aspherical surface has a height y in the direction perpendicular to the optical axis with 0 <y <Ymax.
On the other hand, it is desirable to satisfy the following conditional expression (14a). -0.01 <φ4 ・ (N'-N) ・ d {X (y) -X0 (y)} / dy <0.003… (14a)

When the upper limit of conditional expression (14a) is exceeded, spherical aberration tends to fall to the under side over the entire zoom range, and inward coma occurs on the wide angle side.
When the value goes below the lower limit of the conditional expression (14a), the spherical aberration tends to fall to the over side over the entire zoom range, and outward coma occurs on the wide angle side.

In the fourth lens unit Gr4, the aspherical surface is the lens closest to the object side (preferably the object side surface) or the lens closest to the image side.
It is desirable to provide it (preferably on the image side surface). According to the former configuration, it becomes easy to correct spherical aberration. On the other hand, the latter configuration facilitates correction of coma aberration.

It is desirable that the fourth lens unit Gr4 satisfy the following conditional expression (15a). 0.1 <f4 / fT <0.5 (15a)

When the upper limit of conditional expression (15a) is exceeded, the fourth group G
Since the power of r4 becomes too weak, the total length at the wide-angle end increases and the fourth lens unit G during zooming
The amount of movement of r4 increases, causing an increase in the total length at the telephoto end. If the lower limit of conditional expression (15a) is exceeded, the power of the fourth lens unit Gr4 becomes too strong, and the spherical aberration tends to fall toward the under side over the entire zoom range.

Next, a desirable structure of the fifth lens unit Gr5 will be described. It is desirable that the fifth lens unit Gr5 has a configuration in which a positive lens is disposed closest to the object side and a negative lens is disposed closest to the image side. With this telephoto type configuration, the back focus can be shortened to the necessary minimum. More preferably, as in the eleventh embodiment, it is preferable to have a two-lens structure of a positive lens and a negative lens in order from the object side. With this structure, the fifth group Gr5 is made thinner in the optical axis direction and zoomed. The lens can be made compact.

As in the eleventh embodiment, the fifth group Gr5
If an aspherical surface is used, better optical performance can be obtained. It is desirable that the aspherical surface satisfy the following conditional expression (16a) for any height y in the direction perpendicular to the optical axis, where 0.5Ymax <y <Ymax. -0.05 <φ5 ・ (N'-N) ・ d {X (y) -X0 (y)} / dy <0.01 (16a) where φ5 is the power of the fifth group.

If the upper limit of conditional expression (16a) is exceeded, the positive distortion and the positive excursion of the field curvature will become remarkable from the wide-angle end to the intermediate focal length range, and the spherical aberration will fall to the over side on the telephoto side. Will end up. If the lower limit of conditional expression (16a) is exceeded, negative distortion aberration and negative excursion of field curvature will be remarkable in the intermediate focal length range from the wide-angle end, and spherical aberration will fall to the under side on the telephoto side.

If the lens provided with the aspherical surface is a double-sided aspherical lens, or if an aspherical surface is provided on the most object side surface and the most image side surface, spherical aberration, distortion, and field curvature can be corrected in a better balance. be able to. That is, it becomes possible to correct spherical aberration, distortion, and curvature of field on one aspherical surface by the other aspherical surface. At this time, it is desirable that all the aspherical surfaces satisfy the conditional expression (16a).

It is desirable that the fifth lens unit Gr5 satisfy the following conditional expression (17a). 0.1 <| f5 | / fT <0.4 (17a) where f5 is the focal length of the fifth lens unit.

If the upper limit of conditional expression (17a) is exceeded, the fifth group G
Since the power of r5 becomes too weak, the total length at the wide-angle end increases. When the lower limit of conditional expression (17a) is exceeded,
Since the power of the fifth lens unit Gr5 becomes too strong, a positive distortion occurs remarkably, and the spherical aberration on the telephoto side tends to fall to the over side.

<< In a positive / negative / positive / negative four-component configuration,
Fifth group zoom lens in which second component makes zooming movement in a floating manner (twelfth embodiment) >> The twelfth embodiment has a positive first group Gr1 and a negative second group G in order from the object side.
r2, a positive third lens unit Gr3, a positive fourth lens unit Gr4, and a negative fifth lens unit Gr5, which is a zoom lens having a five-unit structure. The first lens unit Gr1 is the first component, and the second lens unit Gr2 and the third lens unit. Gr3 constitutes the second component, the fourth group Gr4 constitutes the third component, and the fifth group Gr5 constitutes the fourth component. And the third group Gr3
A half prism HP is provided between the third group Gr4 and the fourth group Gr4 to reflect the light beam after passing through the third group Gr3. Also, the first group Gr1 to the fifth group G
r5 is the corresponding arrow m1 to the corresponding lens configuration diagram in FIG.
As indicated by m5, each of the first group G moves forward in zooming from the wide-angle end [W] to the telephoto end [T].
The distance between r1 and the second group Gr2 is widened, the distance between the second group Gr2 and the third group Gr3 is narrowed, the distance between the third group Gr3 and the fourth group Gr4 is narrowed, and the fourth group Gr4 and the fifth group. Gr5
The space between and becomes narrower.

In the twelfth embodiment, each group is constructed as follows. The first group Gr1 is composed of, in order from the object side, a negative meniscus lens concave to the image side and a positive meniscus lens convex to the object side, and the image side surface of the negative meniscus lens is an aspherical surface. The second group Gr2 is composed of a biconcave negative lens, and its object-side surface is an aspherical surface. The third group Gr3 is composed of a positive meniscus lens having a convex surface on the object side, and its image-side surface is an aspherical surface. The fourth group Gr4 is composed of, in order from the object side, a lens shutter S1 also serving as a diaphragm, a negative meniscus lens concave to the image side, a biconvex positive lens and a light flux regulating plate S2, and the image side surface of the positive lens. Is an aspherical surface. The fifth group Gr5 is composed of, in order from the object side, a positive meniscus lens having a convex surface on the image side and a biconcave negative lens, and both surfaces of the positive meniscus lens are aspherical surfaces. In addition, the lens shutter S that also serves as the diaphragm
1 and the light flux regulating plate S2 are compatible in design.

The twelfth embodiment is a five-group zoom lens in which the distance d6 between the second group Gr2 and the third group Gr3 changes slightly during zooming, as shown in FIG. That is, in the positive / negative / positive / negative four-component zoom configuration, the second
The second group Gr2 having a negative component and the third group Gr3 having a positive component are divided to perform floating zoom movement. This floating makes it possible to correct spherical aberration on the telephoto side and tilt of the image plane in the negative direction. Further, if the zoom group positioned in front of the half prism HP is composed of three groups of positive, negative, and positive from the object side,
Since the height of the axial light flux can be lowered in the zoom group located in front of the half prism HP, it is possible to correct the aberration of the axial light flux which is difficult to correct by the telephoto lens. Further, since the error sensitivity is reduced, there is an advantage that the manufacturing becomes easy.

As described above, when it is attempted to provide a reflecting means such as a half prism HP in the middle of the zoom lens, the zoom group located in front of the zoom group and the zoom group located behind it become more unique. Half prism HP
Aberrations must be corrected well in front of and in the rear. Similar to the eleventh embodiment, the first
In the second embodiment, three zoom groups are provided in front of the half prism HP, so that aberrations can be sufficiently corrected in front of the half prism HP. On the other hand, the fourth group G, which is positive behind the half prism HP
Since it has a configuration including r4 and the negative fifth lens unit Gr5, it is possible to sufficiently correct aberrations behind the half prism HP.

Further, since the first group Gr1 to the third group Gr3 located in front of the half prism HP can obtain a sufficient amount of variable power, when the light beam is guided to the finder system by the light beam splitting in the half prism HP. In addition, the load on the finder system due to zooming is reduced. Since the burden is reduced, it is possible to simplify the structure of the finder system while achieving a high zoom ratio of the zoom lens.

In the zoom lens according to the twelfth embodiment, as in the eleventh embodiment, the half prism HP for splitting the light flux by reflecting the light flux after passing through the third lens unit Gr3 is provided by the third lens unit Gr3. And the fourth group Gr4. Therefore, according to this configuration, the light flux incident on the zoom lens is split into two optically equivalent light fluxes by the half prism HP, so that parallax does not occur. Since the half prism HP is provided in the middle of the zoom lens, the back focus can be shortened and the half prism HP itself can be downsized.

Further, as in the twelfth embodiment, in the positive / negative / positive / negative four-component zoom configuration, the second component is divided into the negative second group Gr2 and the positive third group Gr3. Performs a floating zoom movement, which is substantially positive / negative
In the (negative / positive) / positive / negative four-component zoom configuration, as in the eleventh embodiment, the positions where the axial and off-axis light fluxes are both the lowest between the third group Gr3 and the fourth group Gr4 ( That is, since it passes through the optical axis AX), the third group Gr3 and the fourth group Gr3
4 and the half prism HP provided between
It can be further reduced (that is, in the direction perpendicular to the optical axis AX). Since the half prism HP becomes smaller in the optical axis AX direction as it becomes smaller in the radial direction, the size reduction of the half prism HP results in the third group Gr3 and the fourth group Gr4.
It is possible to reduce the actual surface distance between (i.e., the distance between the most image side lens surface of the third group Gr3 and the most object side lens surface of the fourth group Gr4). Therefore, it is possible to reduce the overall length of the zoom lens.

Further, similar to the first to eleventh embodiments,
In the twelfth embodiment, since the half prism HP splits the light flux by reflecting the light flux between the zoom groups, the lens barrel configuration is simpler than the configuration in which the light flux is reflected in the middle of one zoom group. Moreover, maintaining the optical performance of the zoom group is easy in manufacturing. In addition, in the twelfth embodiment, since the first group Gr1 has a positive power, by suppressing the height of the axial light flux in this first group Gr1, the occurrence of aberration is effectively suppressed. be able to.

In the zoom lens according to the twelfth embodiment, as in the eleventh embodiment, the half prism HP moves integrally with the fourth lens unit Gr4 during zooming, so that the zoom lens can be made compact. . As described above, in the substantially positive / negative (negative / positive) / positive / negative four-component zoom configuration, the luminous flux becomes the thinnest in the vicinity of the fourth group Gr4.
(That is, it collects light.) Therefore, the size of the diameter of the half prism HP (that is, the size in the direction perpendicular to the optical axis AX).
Is the smallest, and as a result, it is possible to make the half prism HP small also in the optical axis AX direction. Since the space efficiency is improved due to the miniaturization of the half prism HP, it is possible to reduce the actual surface distance between the third group Gr3 and the fourth group Gr4 and to make the overall zoom lens compact. .

In the twelfth embodiment, since the lens shutter S1 that also serves as the diaphragm is provided behind the half prism HP, the luminous flux diameter is close to that of the third group Gr3 located adjacent to the front side of the half prism HP. The bigger it gets. On the other hand, in the twelfth embodiment, during zooming, the half prism HP moves integrally with the zoom group (that is, the fourth group Gr4) positioned adjacent to the back side of the half prism HP, so that the fourth group Gr4 and the half prism are moved. The distance between HP and HP does not change, and the distance between the third lens unit Gr3 and the half prism HP changes. Therefore, the beam diameter to be covered by the half prism HP can be small, and the half prism HP can be downsized. This structure is advantageous in terms of the lens barrel structure because the size of the half prism HP can be reduced so that the weight of the driving mechanism for zooming can be reduced.

The zoom lens according to the twelfth embodiment has a second group Gr2 located in front of the half prism HP.
Since the combined power of the third lens unit Gr3 and the third lens unit Gr3 is negative, the off-axis light beam entering the half prism HP forms a small angle with respect to the on-axis light beam (that is, approaches the afocal). Therefore, the beam diameter to be covered by the half prism HP can be small, and the half prism HP can be downsized. Due to the miniaturization of the half prism HP,
This configuration is advantageous in terms of the lens barrel structure, because the weight of the drive mechanism for zooming and the like can be lightened. Furthermore, even if an off-axis light beam that is near afocal with respect to the optical axis AX is reflected by the half prism HP, the off-axis light beam after reflection does not spread so much, so an optical system located behind the half prism HP (ie, a finder). The diameter of the system and the portion of the photographing system located behind the reflecting means) can be small.
As described above, the miniaturization of the zoom lens and the viewfinder system is achieved by miniaturization of the half prism HP and the optical system located behind it.

Also in the twelfth embodiment, it is desirable that the above conditional expression (1) is satisfied in order to achieve compactness of the zoom lens, and that the above conditional expression (2) is satisfied. It is desirable to realize a compact zoom lens with high zoom ratio while maintaining high optical performance.

In order to provide the reflecting means such as the half prism HP between the third group Gr3 and the fourth group Gr4, it is necessary to satisfy the above-mentioned conditional expression (3a) as in the eleventh embodiment. desirable. In addition, the third group Gr3 and the fourth group Gr4
Similarly to the eleventh embodiment, it is desirable that the above conditional expression (4a) is satisfied with respect to the zoom movement amount.
It is desirable that the second group Gr2 and the fourth group Gr4 satisfy the following conditional expression (4b) with respect to the zoom movement amount. 0.5 <M2 / M4 <0.95 (4b)

When the upper limits of conditional expressions (4a) and (4b) are exceeded, the second
Since the movements in zooming of the group Gr2 to the fourth group Gr4 are almost the same, only the same effect as that of the third group zoom can be obtained, and when attempting to achieve a high zoom ratio, the optical system becomes large due to an increase in the amount of movement. I will end up. Conditional expression (4a),
When the value goes below the lower limit of (4b), the difference in the amount of movement between the second lens unit Gr2, the third lens unit Gr3, and the fourth lens unit Gr4 becomes large, so that the distance between the third lens unit Gr3 and the fourth lens unit Gr4 widens at the wide-angle end. Will end up. Therefore, the height of the axial light flux incident on the fourth lens unit Gr4 becomes high, and it becomes difficult to correct spherical aberration.
This causes an increase in the total length at the wide-angle end.

Next, the structural features of each zoom group will be described. Regarding the first group Gr1, the above-described first to first
0 is similar to that of the embodiment of FIG.
It is desirable to satisfy (5) and (6). The fourth group Gr4 and the fifth group Gr5 are the same as in the eleventh embodiment described above, and, for example, the conditional expressions (12a), (13a),
It is desirable to satisfy (14a), (15a), (16a) and (17a).

Desirable configurations of the second lens unit Gr2 and the third lens unit Gr3 will be described. It is desirable that the second lens unit Gr2 has a negative lens disposed closest to the object side and the third lens unit Gr3 has a positive lens disposed closest to the image side. Further, as in the twelfth embodiment. , 2nd group Gr2 consists of a negative lens, and it is desirable that the 3rd group Gr3 consists of a positive lens. With this configuration, it becomes easy to set the back focus to a predetermined length, and it becomes easy to correct coma and spherical aberration in a good balance in the entire zoom range.

It is desirable that the negative lens arranged closest to the object in the second lens unit Gr2 satisfy the above-mentioned conditional expression (7). In the twelfth embodiment, the third group Gr3 has a first
Since it corresponds to the negative lens on the object side in the second lens unit Gr2 in the tenth embodiment, the significance of satisfying conditional expression (7) is the same as in the first to tenth embodiments.

In order to realize a compact and high-performance zoom lens, the second group Gr2 and the third group G
It is desirable that r3 satisfy the following conditional expressions (8b) and (9b). 0.05 <D2,3 / fW <0.40… (8b) 0.01 <D2,3 / fT <0.08… (9b) where D2,3: Thickness of the second and third groups in the optical axis direction (second group) Is the axial upper surface distance between the lens surface closest to the object and the lens surface closest to the image in the third lens group).

When the upper limits of conditional expressions (8b) and (9b) are exceeded, the overall length increases and the front lens diameter (the diameter of the first group Gr1) increases because the first group Gr1 becomes far from the entrance pupil. I will end up. If the lower limits of conditional expressions (8b) and (9b) are exceeded, it will be difficult to perform sufficient aberration correction, especially chromatic aberration correction. Even if correction is possible, the optical system will be almost impossible to process. I will end up.

As in the twelfth embodiment, the second lens unit Gr2
If an aspherical surface is used inside or an aspherical surface is used in the third lens unit Gr3, even better optical performance can be obtained. Aspherical surface is 0 <y
It is desirable that the following conditional expression (10b) be satisfied for any height y of Ymax in the direction perpendicular to the optical axis. -0.1 <φ2,3 ・ (N'-N) ・ d {X (y) -X0 (y)} / dy <0.01… (10b) However, φ2,3: Composition of the second and third groups Power.

If the upper limit of conditional expression (10b) is exceeded, the spherical aberration tends to fall toward the under side over the entire zoom range, flare of off-axis light rays significantly occurs at the telephoto side, and outwardness at the wide angle side occurs. Coma occurs.
If the lower limit of conditional expression (10b) is exceeded, the spherical aberration will tend to fall toward the over side over the entire zoom range, and the flare of the off-axis light beam will become overcorrected at the telephoto side, and inward at the wide-angle side. Comatic aberration occurs.

In the second lens unit Gr2, an aspherical surface is preferably used as the lens closest to the object side (preferably the object side surface thereof), and the third lens unit Gr2.
It is desirable to provide an aspherical surface on the lens closest to the image side (preferably the image side surface). According to the former configuration, it becomes easy to correct coma on the wide angle side. On the other hand, the latter configuration facilitates correction of spherical aberration.

If the lens provided with the aspherical surface is a double-sided aspherical lens, or if an aspherical surface is provided on the most object side surface and the most image side surface, spherical aberration, flare of off-axis light beam on the telephoto side, and wide angle side. It is possible to correct coma aberration in a more balanced manner. In other words, it becomes possible to correct the spherical aberration, flare, and coma aberrations on one aspherical surface by the other aspherical surface. At this time, it is desirable that all the aspherical surfaces satisfy the conditional expression (10b) described above.

It is desirable that the second lens unit Gr2 and the third lens unit Gr3 satisfy the following conditional expression (11b). 0.1 <| f2,3 | / fT <0.5 (11b) where f2,3 is the combined focal length of the second and third groups.

When the upper limit of conditional expression (11b) is exceeded, the second lens group G
Since the combined power of r2 and the third lens unit Gr3 becomes too weak, the total length at the wide-angle end increases, and the movement amounts of the second lens unit Gr2 and the third lens unit Gr3 during zooming increase, so that the total length at the telephoto end increases. It causes an increase.
If the lower limit of conditional expression (11b) is exceeded, the combined power of the second lens unit Gr2 and the third lens unit Gr3 becomes too strong, which causes an internal coma on the wide-angle side and an excessive spherical aberration on the telephoto side. The tendency to fall to the side becomes remarkable.

<< In a positive / negative / positive / negative four-component configuration,
Sixth Group Zoom Lens Having Third Component Performing Floating Zoom Movement (Thirteenth Embodiment) >> In the thirteenth embodiment, a positive first group Gr1 and a negative second group G are arranged in order from the object side.
r2, the non-power third group Gr3, the negative fourth group Gr4,
A zoom lens having a six-group configuration including a positive fifth group Gr5 and a negative sixth group Gr6, wherein the first group Gr1 is the first component, the second group Gr2 is the second component, and the third group Gr3 to the fifth group. Gr5 constitutes the third component, and the sixth group Gr6 constitutes the fourth component. A half prism HP is provided between the second group Gr2 and the third group Gr3 to split the beam by reflecting the beam after passing through the second group Gr2.
Further, the first group Gr1 to the sixth group Gr6 are respectively moved forward in zooming from the wide-angle end [W] to the telephoto end [T], as indicated by corresponding arrows m1 to m6 in the lens configuration diagram of FIG. Moving, the interval between the first group Gr1 and the second group Gr2 widens, the interval between the second group Gr2 and the third group Gr3 narrows, the interval between the third group Gr3 and the fourth group Gr4 narrows, and the fourth group The distance between the group Gr4 and the fifth group Gr5 increases, and the distance between the fifth group Gr5 and the sixth group Gr6 decreases.

In the thirteenth embodiment, each group is constructed as follows. The first group Gr1 is composed of, in order from the object side, a negative meniscus lens concave to the image side and a positive meniscus lens convex to the object side, and the image side surface of the negative meniscus lens is an aspherical surface. The second group Gr2 is composed of, in order from the object side, a biconcave negative lens and a positive meniscus lens convex to the object side, and the object side surface of the negative lens and the image side surface of the positive meniscus lens are not It is a sphere.
The third lens unit Gr3 is composed of a lens shutter S1 that also serves as a diaphragm. The fourth lens unit Gr4 is composed of a negative meniscus lens element concave on the image side. The fifth lens unit Gr5 includes a biconvex positive lens and a light flux regulating plate S2, and the image-side surface of the positive lens is an aspherical surface. The sixth group Gr6 is composed of, in order from the object side, a positive meniscus lens convex to the image side and a biconcave negative lens, and both surfaces of the positive meniscus lens are aspherical. The lens shutter S1 that also serves as the diaphragm and the light flux regulating plate S2 are compatible in design.

The thirteenth embodiment is a 6-group zoom lens in which the distance d13 between the fourth group Gr4 and the fifth group Gr5 changes slightly during zooming, as shown in FIG. That is, in the positive / negative / positive / negative four-component zoom configuration, the third component Gr3 and the negative fourth lens unit Gr4 each of which has a non-power third component
Is divided into a positive fifth lens unit Gr5 and floating zoom movement is performed. As described above, by slightly changing the distance between the fourth lens unit Gr4 and the fifth lens unit Gr5 during zooming, spherical aberration on the telephoto side and tilt of the image plane in the negative direction can be corrected, and at the same time, the telephoto lens can be corrected. It is possible to correct flare due to upper-ray on the side. In addition, when the zoom group positioned behind the half prism HP is composed of negative, positive, and negative from the object side, the lens back can be secured, and
The diameter of the sixth lens unit Gr6 can be reduced.

Since the zoom lens according to the thirteenth embodiment has three zoom groups behind the half prism HP, the zoom lens located in front of the half prism HP can be corrected in terms of aberration. The burden is small. In general, the finder system has a larger arrangement restriction than the photographing system, but when the burden on the zoom group located in front of the half prism HP on the aberration correction becomes small as described above, the light flux is split by the half prism HP. When guiding the light flux to the finder system, the half prism HP
It becomes easy to make the zoom group located in the front more suitable for the finder. Therefore, it is possible to reduce restrictions on the layout of the finder system.

In the zoom lens according to the thirteenth embodiment, as in the first to tenth embodiments, the half prism HP for splitting the light flux by reflecting the light flux after passing through the second lens unit Gr2 has the first prism. It is provided between the second group Gr2 and the third group Gr3. Therefore, according to this configuration, the light flux incident on the zoom lens is converted into two rays by the half prism HP.
Parallax does not occur because it is split into two optically equivalent beams. Since the half prism HP is provided in the middle of the zoom lens, the back focus can be shortened and the half prism HP itself can be downsized.

Furthermore, as in the thirteenth embodiment, in the positive / negative / positive / negative four-component zoom configuration, the third component is the lens shutter S1 also serving as the aperture, the negative fourth lens unit Gr4, and the positive fourth component Gr4. Substantially positive, negative, positive (negative, positive), negative 4 divided into 5 groups Gr5 for floating zoom movement.
In the component zoom configuration, as in the first to tenth embodiments, a position where the on-axis and off-axis light fluxes are both lowest between the second group Gr2 and the third group Gr3 (that is, near the optical axis AX) is set. Since it passes through, the half prism HP provided between the second group Gr2 and the third group Gr3 is moved in the radial direction (that is, the optical axis A
It can be further reduced in the direction perpendicular to X).
The half prism HP has an optical axis AX if it becomes smaller in the radial direction.
Since the half prism HP is also downsized, the actual surface spacing between the second lens unit Gr2 and the fourth lens unit Gr4 (that is, the lens surface closest to the image side of the second lens unit Gr2 and the fourth lens unit Gr4) is reduced. The distance from the lens surface of Gr4 closest to the object can be reduced. Therefore, it is possible to reduce the overall length of the zoom lens.

Further, similar to the first to twelfth embodiments,
In the thirteenth embodiment, since the half prism HP splits the light flux by reflecting the light flux between the zoom groups, the lens barrel configuration is simpler than the configuration in which the light flux is reflected in the middle of one zoom group. Moreover, maintaining the optical performance of the zoom group is easy in manufacturing. In addition, in the thirteenth embodiment, since the first group Gr1 has a positive power, by suppressing the height of the axial light flux in this first group Gr1, the occurrence of aberration is effectively suppressed. be able to.

In the zoom lens according to the thirteenth embodiment, as in the first to tenth embodiments, the half prism HP moves integrally with the third lens unit Gr3 during zooming, so that the zoom lens can be made compact. It is possible. As described above, in the substantially positive / negative / positive (negative / positive) / negative four-component zoom configuration, the luminous flux becomes the thinnest (that is, converges) near the third group Gr3. Therefore, the half prism H
The size of the diameter of P (that is, the size in the direction perpendicular to the optical axis AX) is the smallest, and as a result, it is possible to make the half prism HP small also in the optical axis AX direction.
Since the space efficiency is improved by downsizing the half prism HP, it is possible to reduce the actual surface distance between the second lens unit Gr2 and the fourth lens unit Gr4 and to reduce the overall length of the zoom lens. .

In the thirteenth embodiment, since the third lens unit Gr3 including the lens shutter S1 that also serves as the diaphragm is provided adjacent to the rear side of the half prism HP, the luminous flux diameter is adjacent to the front side of the half prism HP. Second located together
The closer to the group Gr2, the larger. On the other hand, in the thirteenth embodiment, during zooming, the half prism HP moves integrally with the third group Gr3 positioned adjacent to the rear side of the half prism HP, so the distance between the third group Gr3 and the half prism HP changes. Instead, the distance between the second group Gr2 and the half prism HP changes. Therefore, since the light beam diameter that the half prism HP should cover is small, the half prism H
The size of P can be reduced. This structure is advantageous in terms of the lens barrel structure because the size of the half prism HP can be reduced so that the weight of the driving mechanism for zooming can be reduced.

In the zoom lens according to the thirteenth embodiment, since the zoom group (that is, the second group Gr2) located immediately adjacent to the half prism HP has a negative power, the half prism HP The off-axis light beam incident on forms a small angle with the on-axis light beam (that is, approaches an afocal). Therefore, the beam diameter to be covered by the half prism HP can be small, and the half prism HP can be downsized. This structure is advantageous in terms of the lens barrel structure because the size of the half prism HP can be reduced so that the weight of the driving mechanism for zooming can be reduced. Furthermore, even if an off-axis light beam that is afocal with respect to the optical axis AX is reflected by the half prism HP, the off-axis light beam after reflection does not spread so much.
An optical system located behind P (that is, a finder system,
The diameter of the portion of the imaging system located behind the reflecting means) can be small. As described above, the miniaturization of the zoom lens and the viewfinder system is achieved by miniaturization of the half prism HP and the optical system located behind it.

Also in the thirteenth embodiment, it is desirable that the conditional expression (1) described above is satisfied in order to achieve compactness of the zoom lens, and that the conditional expression (2) described above is satisfied. It is desirable to realize a compact zoom lens with high zoom ratio while maintaining high optical performance.

In order to provide the reflecting means such as the half prism HP between the second group Gr2 and the fourth group Gr4, with the reflecting means such as the half prism HP included, the following conditional expression is satisfied.
It is desirable to satisfy (3b). 0.25 <T (2-4) / fW (3b) However, T (2-4): The lens surface closest to the image side of the second lens unit at the wide-angle end and the fourth lens surface.
It is the distance from the lens surface closest to the object in the group.

If the lower limit of conditional expression (3b) is exceeded, the second lens unit Gr
Since the distance T (2-4) between the second lens unit 4 and the fourth lens unit Gr4 becomes too small, it is difficult to arrange the reflecting means between the second lens unit Gr2 and the fourth lens unit Gr4 due to the lens barrel structure.

The second group Gr2 and the fourth group Gr4 are
Similar to the twelfth embodiment, it is desirable that the conditional expression (4b) be satisfied with respect to the zoom movement amount. Further, it is desirable that the second group Gr2 and the fifth group Gr5 satisfy the following conditional expression (4c) with respect to the zoom movement amount. 0.5 <M2 / M5 <0.95 (4c) where M5 is the amount of movement of the fifth lens unit during zooming from the wide-angle end to the telephoto end.

When the upper limits of conditional expressions (4b) and (4c) are exceeded, the second
Since the movements in zooming of the groups Gr2 to Gr4 and Gr5 are almost the same, only the same effect as that of the third group zoom can be obtained. The system becomes large. If the lower limits of conditional expressions (4b) and (4c) are exceeded, the second lens unit Gr2
And the fourth group Gr4 and the fifth group Gr5 have a large movement amount difference, the second group Gr2 and the fourth group Gr4 at the wide-angle end.
The distance from the fifth lens unit Gr5 is increased. Therefore, the fourth
The height of the axial luminous flux incident on the group Gr4 becomes high, which makes it difficult to correct spherical aberration and causes an increase in the total length at the wide-angle end.

Next, the structural features of each zoom group will be described. The first group Gr1 and the second group Gr2 are the same as those in the first to tenth embodiments described above, and, for example, the conditional expressions (5), (6), (7), (8), (9), (10), (1
It is desirable to satisfy 1).

Desirable configurations of the fourth lens unit Gr4 and the fifth lens unit Gr5 will be described. In order to realize a compact and zoom lens having high optical performance, it is desirable that the fourth group Gr4 and the fifth group Gr5 satisfy the following conditional expressions (12b) and (13b). 0.05 <D4,5 / fW <0.40 (12b) 0.01 <D4,5 / fT <0.08 (13b) However, D4,5: Thickness of the fourth and fifth groups in the optical axis direction (fourth group) Is the axial upper surface distance between the lens surface closest to the object and the lens surface closest to the image side in the fifth lens unit).

When the upper limits of conditional expressions (12b) and (13b) are exceeded, the total length increases and the back focus becomes short, so that the rear lens diameter (the diameter of the sixth lens unit Gr6) increases.
If the lower limits of conditional expressions (12b) and (13b) are exceeded, it will be difficult to perform sufficient aberration correction, especially chromatic aberration correction. Even if correction is possible, the optical system will be almost impossible to process. I will end up.

If an aspherical surface is used in the fourth lens unit Gr4,
If an aspherical surface is used in the fifth lens unit Gr5 as in the third embodiment, better optical performance can be obtained. Aspherical surface is 0 <y
It is desirable that the following conditional expression (14b) be satisfied for any height y of <Ymax in the direction perpendicular to the optical axis. -0.01 <φ4,5 ・ (N'-N) ・ d {X (y) -X0 (y)} / dy <0.003… (14b) However, φ4,5: Composition of 4th and 5th group Power.

If the upper limit of conditional expression (14b) is exceeded, the spherical aberration will tend to fall toward the under side over the entire zoom range, and inward coma will occur at the wide-angle side.
When the value goes below the lower limit of the conditional expression (14b), the spherical aberration tends to fall to the over side over the entire zoom range, and outward coma occurs on the wide angle side.

In the fourth group Gr4 and the fifth group Gr5, it is desirable to provide an aspherical surface on the most object side lens (preferably the object side surface) or the most image side lens (preferably the image side surface). According to the former configuration, it becomes easy to correct spherical aberration. On the other hand, the latter configuration facilitates correction of coma aberration.

It is desirable that the fourth lens unit Gr4 and the fifth lens unit Gr5 satisfy the following conditional expression (15b). 0.1 <f4,5 / fT <0.5 (15b) where f4,5 is the combined focal length of the fourth and fifth groups.

If the upper limit of conditional expression (15b) is exceeded, the combined power of the fourth group and the fifth group becomes too weak, so the overall length at the wide-angle end increases, and the fourth group Gr4 and the fifth group at the time of zooming are increased. The movement amount of the group Gr5 increases, which causes an increase in the total length at the telephoto end. Conditional expression (15b)
If the lower limit of is exceeded, the combined power of the fourth group and the fifth group becomes too strong, so that the spherical aberration tends to fall to the under side over the entire zoom range.

Next, a desirable structure of the sixth lens unit Gr6 will be described. The sixth group Gr6 is, as in the thirteenth embodiment,
It is desirable that the positive lens is arranged closest to the object side and the negative lens is arranged closest to the image side. With this telephoto type configuration, the back focus can be shortened to the necessary minimum. More preferably, it is preferable to have a two-lens structure including a positive lens and a negative lens in order from the object side. With this structure, the sixth lens unit Gr6 can be made thinner in the optical axis direction, and the zoom lens can be made compact.

The sixth group Gr6 as in the thirteenth embodiment
If an aspherical surface is used, better optical performance can be obtained. It is desirable that the aspherical surface satisfy the following conditional expression (16b) for any height y in the direction perpendicular to the optical axis, where 0.5Ymax <y <Ymax. -0.05 <φ6 ・ (N'-N) ・ d {X (y) -X0 (y)} / dy <0.01 (16b) where φ6 is the power of the sixth group.

When the upper limit of conditional expression (16b) is exceeded, the positive distortion and the positive deviation tendency of the field curvature become remarkable from the wide-angle end to the intermediate focal length range, and the spherical aberration falls to the over side on the telephoto side. Will end up. When the value goes below the lower limit of the conditional expression (16b), negative distortion aberration and negative excursion of field curvature become remarkable in the intermediate focal length range from the wide-angle end, and spherical aberration falls to the under side on the telephoto side.

If the lens provided with the aspherical surface is a double-sided aspherical lens or if the aspherical surface is provided on the most object side surface and the most image side surface, spherical aberration, distortion, and field curvature can be corrected in a better balance. be able to. That is, it becomes possible to correct spherical aberration, distortion, and curvature of field on one aspherical surface by the other aspherical surface. At this time, it is desirable that all the aspherical surfaces satisfy the conditional expression (16b).

It is desirable that the sixth lens unit Gr6 satisfy the following conditional expression (17b). 0.1 <| f6 | / fT <0.4 (17b) where f6 is the focal length of the sixth lens unit.

If the upper limit of conditional expression (17b) is exceeded, the sixth lens group G
Since the power of r6 becomes too weak, the total length at the wide-angle end increases. When the lower limit of conditional expression (17b) is exceeded,
Since the power of the sixth lens unit Gr6 becomes too strong, positive distortion is significantly generated, and the spherical aberration on the telephoto side tends to fall to the over side.

<< In a positive / negative / positive / negative four-component configuration,
Fifth group zoom lens in which fourth component performs floating zoom movement (fourteenth embodiment) >> The fourteenth embodiment is configured such that the positive first group Gr1 and the negative second group G are arranged in order from the object side.
r2, a positive third lens unit Gr3, a positive fourth lens unit Gr4, and a negative fifth lens unit Gr5. , Third
The group Gr3 constitutes the third component, and the fourth group Gr4 and the fifth group Gr5 constitute the fourth component, respectively. Then, the second group Gr2
A half prism HP is provided between the third lens unit Gr3 and the third lens unit Gr3 to split the light beam after reflecting the light beam that has passed through the second lens unit Gr2. Also, the first group Gr1 to the fifth group G
r5 is a corresponding arrow m1 in the lens configuration diagram of FIG.
As indicated by m5, each of the first group G moves forward in zooming from the wide-angle end [W] to the telephoto end [T].
The distance between r1 and the second group Gr2 is widened, the distance between the second group Gr2 and the third group Gr3 is narrowed, the distance between the third group Gr3 and the fourth group Gr4 is narrowed, and the fourth group Gr4 and the fifth group. Gr5
The distance between and increases.

In the fourteenth embodiment, each group is constructed as follows. The first group Gr1 is composed of, in order from the object side, a negative meniscus lens concave to the image side and a positive meniscus lens convex to the object side, and the image side surface of the negative meniscus lens is an aspherical surface. The second group Gr2 is composed of, in order from the object side, a biconcave negative lens and a positive meniscus lens convex to the object side, and the object side surface of the negative lens and the image side surface of the positive meniscus lens are not It is a sphere.
The third group Gr3 is composed of, in order from the object side, a lens shutter S1 also serving as a diaphragm, a negative meniscus lens concave to the image side, a biconvex positive lens, and a light flux regulating plate S2, and the image side surface of the positive lens. Is an aspherical surface. The fourth group Gr4 is composed of a positive meniscus lens having a convex surface on the image side, and both surfaces thereof are aspherical surfaces. The fifth lens unit Gr5 is composed of a biconcave negative lens. The lens shutter S1 that also serves as the diaphragm and the light flux regulating plate S2 are compatible in design.

The fourteenth embodiment is a fifth group zoom lens in which the distance d18 between the fourth group Gr4 and the fifth group Gr5 slightly changes during zooming, as shown in FIG. That is, in the positive / negative / positive / negative four-component zoom configuration, the fourth component is divided into the positive fourth group Gr4 and the negative fifth group Gr5 to perform floating zoom movement. . This floating makes it possible to correct spherical aberration on the telephoto side and tilt of the image plane in the negative direction. In addition, the zoom group positioned behind the half prism HP in this way is positive / positive / negative (telephoto type) from the object side.
With the configuration, the zoom group (that is, the third group Gr3 to the fifth group Gr5) located behind the half prism HP is set to the optical axis A.
It can be shortened in the X direction.

As in the thirteenth embodiment, the zoom lens according to the fourteenth embodiment has a configuration having three zoom groups behind the half prism HP.
The burden on the zoom group located in front of the half prism HP for aberration correction is small. In general, the finder system has a larger arrangement constraint than the photographing system, but when the burden on the zoom group located in front of the half prism HP on aberration correction becomes small as described above, the half prism H
When the light beam is guided to the finder system by the light beam splitting at P, it becomes easy to make the zoom group located in front of the half prism HP suitable for the finder. Therefore, it is possible to reduce restrictions on the layout of the finder system.

In the zoom lens according to the fourteenth embodiment, as in the first to tenth embodiments, the half prism HP for splitting the light flux by reflecting the light flux after passing through the second lens unit Gr2 is provided with the first prism. It is provided between the second group Gr2 and the third group Gr3. Therefore, according to this configuration, the light flux incident on the zoom lens is converted into two rays by the half prism HP.
Parallax does not occur because it is split into two optically equivalent beams. Since the half prism HP is provided in the middle of the zoom lens, the back focus can be shortened and the half prism HP itself can be downsized.

Further, as in the fourteenth embodiment, in the positive / negative / positive / negative four-component zoom configuration, the fourth component is divided into the positive fourth lens unit Gr4 and the negative fifth lens unit Gr5. Performs a floating zoom movement that is substantially positive / negative /
In the positive / negative (positive / negative) four-component zoom configuration, the first to tenth
In the same manner as in the above embodiment, the position where the on-axis and off-axis light fluxes are both lowest between the second group Gr2 and the third group Gr3 (that is, the optical axis A
(Around X), the half prism HP provided between the second group Gr2 and the third group Gr3 should be further reduced in the radial direction (that is, the direction perpendicular to the optical axis AX). You can Since the half prism HP becomes smaller in the optical axis AX direction as it becomes smaller in the radial direction, the size reduction of the half prism HP results in the second group Gr2 and the fourth group G.
The actual surface distance to r4 (that is, the distance between the most image-side lens surface of the second group Gr2 and the most object-side lens surface of the fourth group Gr4) can be reduced. Therefore, it is possible to reduce the overall length of the zoom lens.

Further, similar to the first to thirteenth embodiments,
In the fourteenth embodiment, since the half prism HP splits the light flux by reflecting the light flux between the zoom groups, the lens barrel configuration is simpler than the configuration in which the light flux is reflected in the middle of one zoom group. Moreover, maintaining the optical performance of the zoom group is easy in manufacturing. In addition, in the fourteenth embodiment, since the first group Gr1 has a positive power, by suppressing the height of the axial light flux in this first group Gr1, the occurrence of aberration is effectively suppressed. be able to.

In the zoom lens according to the fourteenth embodiment, as in the first to tenth embodiments, the half prism HP moves integrally with the third lens unit Gr3 during zooming, so that the zoom lens can be made compact. It is possible. As described above, in the substantially positive / negative / positive / negative (positive / negative) four-component zoom configuration, the luminous flux becomes the thinnest (that is, converges) near the third group Gr3. Therefore, the half prism H
The size of the diameter of P (that is, the size in the direction perpendicular to the optical axis AX) is the smallest, and as a result, it is possible to make the half prism HP small also in the optical axis AX direction.
Since the space efficiency is improved by downsizing the half prism HP, the actual surface distance between the second lens unit Gr2 and the third lens unit Gr3 can be reduced, and the overall length of the zoom lens can be reduced. .

In the fourteenth embodiment, since the lens shutter S1 that also serves as the diaphragm is provided behind the half prism HP, the light beam diameter is close to that of the second group Gr2 located adjacent to the front side of the half prism HP. The bigger it gets. On the other hand, in the fourteenth embodiment, during zooming, the half prism HP moves integrally with the zoom group (that is, the third group Gr3) positioned adjacent to the rear side of the half prism HP, so that the third group Gr3 and the half prism are moved together. The distance from HP does not change, and the distance between the second group Gr2 and the half prism HP changes. Therefore, the beam diameter to be covered by the half prism HP can be small, and the half prism HP can be downsized. This structure is advantageous in terms of the lens barrel structure because the size of the half prism HP can be reduced so that the weight of the driving mechanism for zooming can be reduced.

In the zoom lens according to the fourteenth embodiment, since the zoom group (that is, the second group Gr2) positioned immediately before the half prism HP has a negative power, the half prism HP The off-axis light beam incident on forms a small angle with the on-axis light beam (that is, approaches an afocal). Therefore, the beam diameter to be covered by the half prism HP can be small, and the half prism HP can be downsized. This structure is advantageous in terms of the lens barrel structure because the size of the half prism HP can be reduced so that the weight of the driving mechanism for zooming can be reduced. Furthermore, even if an off-axis light beam that is afocal with respect to the optical axis AX is reflected by the half prism HP, the off-axis light beam after reflection does not spread so much.
An optical system located behind P (that is, a finder system,
The diameter of the portion of the imaging system located behind the reflecting means) can be small. As described above, the miniaturization of the zoom lens and the viewfinder system is achieved by miniaturization of the half prism HP and the optical system located behind it.

Also in the fourteenth embodiment, it is desirable that the conditional expression (1) described above is satisfied in order to achieve the compactness of the zoom lens, and that the conditional expression (2) described above is satisfied. It is desirable to realize a compact zoom lens with high zoom ratio while maintaining high optical performance.

In order to provide the reflecting means such as the half prism HP between the second group Gr2 and the third group Gr3, the above-mentioned conditional expression (3) is applied as in the first to tenth embodiments. It is desirable to meet. In addition, the second group Gr2 and the third group G
As with the first to tenth embodiments, it is desirable that r3 satisfy the above-mentioned conditional expression (4) regarding the zoom movement amount.

The structural features of each zoom group will be described below. The first group Gr1 to the third group Gr3 are the same as those in the above-described first to tenth embodiments.
The above conditional expressions (5), (6), (7), (8), (9), (10), (11),
It is desirable to satisfy (12), (13), (14) and (15).

Desirable configurations of the fourth lens unit Gr4 and the fifth lens unit Gr5 will be described. It is desirable that the fourth group Gr4 have a positive power and the fifth group have a negative power. With this telephoto type configuration, the back focus can be shortened to the necessary minimum. More desirably, as in the fourteenth embodiment, it is preferable that the fourth lens unit Gr4 be composed of one positive lens and the fifth lens be composed of one negative lens.
With this configuration, the fourth group Gr4 and the fifth group Gr5 can be further thinned in the optical axis direction, and the zoom lens can be made compact.

As in the fourteenth embodiment, the fourth lens unit Gr4
If an aspherical surface is used or an aspherical surface in the fifth lens unit Gr5 is used, even better optical performance can be obtained. Aspherical surface is 0.5Yma
It is desirable that the following conditional expression (16c) be satisfied for any height y in the direction perpendicular to the optical axis, where x <y <Ymax. -0.05 <φ4,5 ・ (N'-N) ・ d {X (y) -X0 (y)} / dy <0.01 (16c) However, φ4,5: Composition of 4th group and 5th group Power.

When the upper limit of conditional expression (16c) is exceeded, positive distortion and positive deviation of the field curvature become remarkable from the wide-angle end to the intermediate focal length range, and spherical aberration falls to the over side on the telephoto side. Will end up. When the value goes below the lower limit of the conditional expression (16c), negative distortion aberration and negative excursion of field curvature become remarkable in the intermediate focal length range from the wide-angle end, and spherical aberration falls to the under side on the telephoto side.

If a double-sided aspherical lens is used as the lens provided with the aspherical surface or an aspherical surface is provided on the most object side surface and the most image side surface, spherical aberration, distortion, and field curvature can be corrected in a better balance. be able to. That is, it becomes possible to correct spherical aberration, distortion, and curvature of field on one aspherical surface by the other aspherical surface. At this time, it is desirable that all the aspherical surfaces satisfy the conditional expressions (16) and (16c).

It is desirable that the fourth lens unit Gr4 and the fifth lens unit Gr5 satisfy the following conditional expression (17c). 0.1 <| f4,5 | / fT <0.4 (17c) where f4,5 is the combined focal length of the fourth and fifth groups.

If the upper limit of conditional expression (17c) is exceeded, the fourth group G
Since the combined power of r4 and the fifth lens unit Gr5 becomes too weak, the total length at the wide-angle end increases. Conditional expression (17
When the value goes below the lower limit of c), the combined power of the fourth group Gr4 and the fifth group Gr5 becomes too strong, so that positive distortion occurs remarkably, and the spherical aberration on the telephoto side tends to fall to the over side. .

[0185]

EXAMPLES The structure of the zoom lens embodying the present invention will be described more specifically below with reference to construction data, aberration performance, and the like. Examples 1 to 14 listed below are
The drawings correspond to the above-described first to fourteenth embodiments, respectively, and the drawings showing the first to fourteenth embodiments respectively show the corresponding lens configurations of the first to fourteenth embodiments.

In the construction data of each example given below, ri (i = 1,2,3, ...) is the radius of curvature of the i-th surface counted from the object side, di (i = 1,2, ... (3, ...) indicates the i-th axial upper surface distance counted from the object side, and Ni (i = 1,2,
3, ...), νi (i = 1,2,3, ...) indicates the refractive index (Nd) and Abbe number (νd) of the i-th lens from the object side for d-line. . In the construction data, the distance between the upper surfaces of the shafts that changes due to zooming is the wide-angle end [W] in the infinity shooting state-middle (intermediate focal length state) [M] -telephoto end [T].
It is the actual surface distance between the respective groups, and the focal length f and F number FNO of the entire system corresponding to each state are also shown.

A surface with a radius of curvature ri marked with * indicates that it is an aspherical surface, and is defined by the above equation (A) representing the surface shape of the aspherical surface. Conditional expressions (6), (6a); (10), (10a), (10b); (14), (14a), (14b); (16),
Corresponding values of (16a), (16b), and (16c) are shown together with the construction data of each example. When the power changes due to zooming, the values at the wide-angle end [W] and the telephoto end [T] are shown. Tables 1 to 4 show corresponding values of other conditional expressions for each example. Furthermore, in Table 5,
Infinity shooting condition (D =) of the first, third and fourth embodiments
The zoom movement amount of each group from the wide-angle end [W] to the middle [M] and the telephoto end [T] at ∞) is shown in Table 6 and Example 5 is shown.
8 shows the focus movement amount (extending amount) at the time of the closest shooting (shooting distance D = 5 m) at the wide-angle end [W] in Example 8.

Example 1 f = 39.1 to 87.3 to 178.0 FNO = 4.12 to 7.00 to 9.50 [curvature radius] [axis upper surface spacing] [refractive index] [Abbe number] r1 31.742 d1 1.600 N1 1.84666 ν1 23.82 r2 * 24.282 d2 0.500 r3 27.548 d3 5.000 N2 1.51680 ν2 64.20 r4 490.045 d4 2.742〜18.742〜37.742 r5 * -50.651 d5 1.400 N3 1.80700 ν3 39.79 r6 13.245 d6 0.500 r7 13.812 d7 4.500 N4 1.78472 ν4 25.75 r8 * 89 ∞ d9 11.000 N5 1.51680 ν5 64.20 r10 ∞ d10 0.200 r11 ∞ (aperture) d11 0.500 r12 24.201 d12 1.735 N6 1.84666 ν6 23.82 r13 14.492 d13 0.300 r14 14.660 d14 4.700 N7 1.51728 ν7 69.43 r15 * -20.500 d15 0.200 r16 plate ) d16 23.394 ~ 10.744 ~ 2.500 r17 * -52.987 d17 4.100 N8 1.84666 ν8 23.82 r18 * -23.222 d18 3.300 r19 -13.947 d19 1.302 N9 1.74400 ν9 44.93 r20 212.239 Σd = 75.272 ~ 76.045 ~ 81.568

[0189] [aspherical coefficients] r2: ε = 1.0000 A4 = -0.85013 × 10 -6 A6 = 0.32298 × 10 -8 A8 = -0.54523 × 10 -10 A10 = 0.27043 × 10 -12 A12 = -0.56376 × 10 - ¹⁵ r5: ε = 1.0000 A4 = 0.18895 × 10 ^-4 A6 = 0.48637 × 10 ^-7 A8 = 0.13779 × 10 ^-9 A10 = -0.18314 × 10 ^-11 A12 = -0.27882 × 10 ^-14 r8: ε = 1.0000 A4 = 0.33176 × 10 ^-4 A6 = 0.53118 × 10 ^-7 A8 = 0.28185 × 10 ^-8 A10 = -0.10321 × 10 ^-10 A12 = -0.75073 × 10 ^-13 r15: ε = 1.0000 A4 = 0.95143 × 10 ^-5 A6 = 0.53310 X 10 ^-6 A8 = -0.16704 x 10 ^-7 A10 = 0.23059 x 10 ^-9 A12 = -0.26914 x 10 ^-13 r17: ε = 1.0000 A4 = 0.28288 x 10 ^-8 A6 = -0.56729 x 10 ^-7 A8 = 0.49027 × 10 ^-8 A10 = -0.26465 × 10 ^-10 A12 = -0.84998 × 10 ^-14 r18: ε = 1.0000 A4 = -0.19642 × 10 ^-4 A6 = -0.12920 × 10 ^-6 A8 = 0.27558 × 10 ^-8 A10 = 0.67847 × 10 ^-11 A12 = -0.14025 × 10 ^-12

[Corresponding value of conditional expression (6) (aspherical surface of r2 in the first group Gr1)] y = 1.3300 ... φ1 · (N′-N) · d {(X (y) -X0 (y) } / dy = 0.6715 × 10 ^-7 y = 2.6600… φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.5239 × 10 ^-6 y = 3.9900… φ1 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1718 × 10 ^-5 y = 5.3200… φ1 ・ (N'-N) ・ d {(X (y) -X0 ( y)} / dy = 0.4013 × 10 ^-5 y = 6.6500… φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.7947 × 10 ^-5 y = 7.9800… φ1・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1442 × 10 ^-4 y = 9.3100… φ1 ・ (N'-N) ・ d {(X (y)- X0 (y)} / dy = 0.2475 × 10 ^-4 y = 10.6400 ... φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.4067 × 10 ^-4 y = 11.9700 … Φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.6504 × 10 ^-4 y = 13.3000… φ1 ・ (N'-N) ・ d {(X (y (y ) -X0 (y)} / dy = 0.1052 × 10 ^-3

[Corresponding value of conditional expression (10) (aspherical surface of r5 in the second group Gr2)] y = 1.0900 ... φ2 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.1889×10 ^-5 y = 2.1800… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1532 × 10 ^-4 y = 3.2700… φ2・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.5292 × 10 ^-4 y = 4.3600… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1296 × 10 ^-3 y = 5.4500… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2634 × 10 ^-3 y = 6.5400… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4757 × 10 ^-3 y = 7.6300… φ2 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.7875 × 10 ^-3 y = 8.7200… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.1209 × 10 ^-2 y = 9.8100… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1717 × 10 ^-2 y = 10.9000… φ2 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.2200 × 10 ^-2

[Corresponding value of conditional expression (10) (aspherical surface of r8 in the second group Gr2)] y = 0.8700 ... φ2 · (N′-N) · d {(X (y) -X0 (y) } / dy = 0.1635 × 10 ^-5 y = 1.7400… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1317 × 10 ^-4 y = 2.6100… φ2 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.4512 × 10 ^-4 y = 3.4800… φ2 ・ (N'-N) ・ d {(X (y) -X0 ( y)} / dy = 0.1099 × 10 ^-3 y = 4.3500… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.2244 × 10 ^-3 y = 5.2200… φ2・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.4132 × 10 ^-3 y = 6.0900… φ2 ・ (N'-N) ・ d {(X (y)- X0 (y)} / dy = 0.7111 × 10 ^-3 y = 6.9600… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1161 × 10 ^-2 y = 7.8300 … Φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1797 × 10 ^-2 y = 8.7000… φ2 ・ (N'-N) ・ d {(X (y (y ) -X0 (y)} / dy = 0.2603 × 10 ^-2

[Corresponding Value of Conditional Expression (14) (Aspherical Surface of r15 in Third Group Gr3)] y = 0.6349 ... φ3 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.1895×10 ^-6 y = 1.2698… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1653 × 10 ^-5 y = 1.9047… φ3・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.6246 × 10 ^-5 y = 2.5396… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1657 × 10 ^-4 y = 3.1744… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3558 × 10 ^-4 y = 3.8093… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.6595 × 10 ^-4 y = 4.4442… φ3 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.1104 × 10 ^-3 y = 5.0791… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.1754 × 10 ^-3 y = 5.7140… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2808 × 10 ^-3 y = 6.3489… φ3 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.4820 × 10 ^-3

[Corresponding Value of Conditional Expression (16) (Aspherical Surface of r17 in Fourth Group Gr4)] y = 1.1200 ... φ4 · (N′-N) · d {(X (y) -X0 (y) } / dy = 0.1395 × 10 ^-7 y = 2.2400… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.2338 × 10 ^-6 y = 3.3600… φ4 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.8343 × 10 ^-6 y = 4.4800… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1718 × 10 ^-4 y = 5.6000… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.9666 × 10 ^-4 y = 6.7200… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3386 × 10 ^-3 y = 7.8400… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.8687 × 10 ^-3 y = 8.9600… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1699 × 10 ^-2 y = 10.0800… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2349 × 10 ^-2 y = 11.2000… φ4 ・ (N'-N)・ D {(X (y) -X0 (y)} / dy = -0.1056 × 10 ^-2

[Corresponding Value of Conditional Expression (16) (aspherical surface of r18 in the fourth group Gr4)] y = 1.1800 ... φ4 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.3664×10 ^-5 y = 2.3600… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3026 × 10 ^-4 y = 3.5400… φ4・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1053 × 10 ^-3 y = 4.7200… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2491 × 10 ^-3 y = 5.9000… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4513 × 10 ^-3 y = 7.0800… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.6373 × 10 ^-3 y = 8.2600… φ4 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.6907 × 10 ^-3 y = 9.4400… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.7233 × 10 ^-3 y = 10.6200… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2031 × 10 ^-2 y = 11.8000… φ4 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.9598 × 10 ^-2

Example 2 f = 39.1 to 87.3 to 178.0 FNO = 4.12 to 7.00 to 9.50 [curvature radius] [axis upper surface spacing] [refractive index] [Abbe number] r1 31.780 d1 1.800 N1 1.84666 ν1 23.82 r2 * 24.351 d2 0.500 r3 27.548 d3 5.000 N2 1.51680 ν2 64.20 r4 451.955 d4 2.742 ~ 18.742 ~ 37.742 r5 * -52.414 d5 1.400 N3 1.80700 ν3 39.79 r6 13.245 d6 0.500 r7 13.812 d7 4.600 n4 1.78472 ν4 25.75 r8600 ~ 94.0 ∞ d9 11.000 N5 1.51680 ν5 64.20 r10 ∞ d10 0.400 r11 ∞ (aperture) d11 0.500 r12 23.498 d12 1.735 N6 1.84666 ν6 23.82 r13 14.305 d13 0.300 r14 14.576 d14 4.700 N7 1.51728 ν7 69.43 r15 * -20.905 d15 0.200 r16 plate ) d16 23.544 ~ 10.823 ~ 2.500 r17 * -57.077 d17 4.300 N8 1.84666 ν8 23.82 r18 * -23.984 d18 3.300 r19 -14.043 d19 1.302 N9 1.74400 ν9 44.93 r20 198.656 Σd = 76.423 ~ 77.308 ~ 83.291

[0197] [aspherical coefficients] r2: ε = 1.0000 A4 = -0.88023 × 10 -6 A6 = 0.51386 × 10 -8 A8 = -0.81296 × 10 -10 A10 = 0.44096 × 10 -12 A12 = -0.94660 × 10 - ¹⁵ r5: ε = 1.0000 A4 = 0.17967 × 10 ^-4 A6 = 0.58381 × 10 ^-7 A8 = 0.66235 × 10 ^-11 A10 = -0.12325 × 10 ^-11 A12 = -0.27882 × 10 ^-14 r8: ε = 1.0000 A4 = 0.31483 × 10 ^-4 A6 = 0.81801 × 10 ^-7 A8 = 0.24816 × 10 ^-8 A10 = -0.11818 × 10 ^-10 A12 = -0.47581 × 10 ^-13 r15: ε = 1.0000 A4 = 0.94165 × 10 ^-5 A6 = 0.49688 × 10 ^-6 A8 = -0.16717 × 10 ^-7 A10 = 0.23099 × 10 ^-9 A12 = -0.24779 × 10 ^-13 r17: ε = 1.0000 A4 = 0.68475 × 10 ^-6 A6 = -0.71551 × 10 ^-7 A8 = 0.47575 × 10 ^-8 A10 = -0.26013 × 10 ^-10 A12 = -0.35515 × 10 ^-14 r18: ε = 1.0000 A4 = -0.19289 × 10 ^-4 A6 = -0.14 117 × 10 ^-6 A8 = 0.25896 × 10 ^-8 A10 = 0.71357 x 10 ^-11 A12 = -0.13396 x 10 ^-12

[Corresponding Value of Conditional Expression (6) (Aspherical Surface of r2 in First Group Gr1)] y = 1.3300 ... φ1 · (N′-N) · d {(X (y) -X0 (y) } / dy = 0.6936 × 10 ^-7 y = 2.6600… φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.5334 × 10 ^-6 y = 3.9900… φ1 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1716 × 10 ^-5 y = 5.3200… φ1 ・ (N'-N) ・ d {(X (y) -X0 ( y)} / dy = 0.3938 × 10 ^-5 y = 6.6500… φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.7728 × 10 ^-5 y = 7.9800… φ1・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1401 × 10 ^-4 y = 9.3100… φ1 ・ (N'-N) ・ d {(X (y)- X0 (y)} / dy = 0.2404 × 10 ^-4 y = 10.6400… φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.3925 × 10 ^-4 y = 11.9700 … Φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.6228 × 10 ^-4 y = 13.3000… φ1 ・ (N'-N) ・ d {(X (y ( ) -X0 (y)} / dy = 0.1026 × 10 ^-3

[Corresponding value of conditional expression (10) (aspherical surface of r5 in the second group Gr2)] y = 1.0900 ... φ2 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.1836×10 ^-5 y = 2.1800… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1494 × 10 ^-4 y = 3.2700… φ2・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.5184 × 10 ^-4 y = 4.3600… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1275 × 10 ^-3 y = 5.4500… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2602 × 10 ^-3 y = 6.5400… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4710 × 10 ^-3 y = 7.6300… φ2 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.7807 × 10 ^-3 y = 8.7200… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.1200 × 10 ^-2 y = 9.8100… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1707 × 10 ^-2 y = 10.9000… φ2 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.2207 × 10 ^-2

[Corresponding value of conditional expression (10) (aspherical surface of r8 in the second group Gr2)] y = 0.8700 ... φ2 · (N′-N) · d {(X (y) -X0 (y) } / dy = 0.1586 × 10 ^-5 y = 1.7400… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1282 × 10 ^-4 y = 2.6100… φ2 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.4413 × 10 ^-4 y = 3.4800… φ2 ・ (N'-N) ・ d {(X (y) -X0 ( y)} / dy = 0.1081 × 10 ^-3 y = 4.3500… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.2220 × 10 ^-3 y = 5.2200… φ2・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.4105 × 10 ^-3 y = 6.0900… φ2 ・ (N'-N) ・ d {(X (y)- X0 (y)} / dy = 0.7078 × 10 ^-3 y = 6.9600… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1155 × 10 ^-2 y = 7.8300 … Φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1788 × 10 ^-2 y = 8.7000… φ2 ・ (N'-N) ・ d {(X (y (y ) -X0 (y)} / dy = 0.2597 × 10 ^-2

[Corresponding Value of Conditional Expression (14) (Aspherical Surface of r15 in Third Group Gr3)] y = 0.5755 ... φ3 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.1387×10 ^-6 y = 1.1510… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1188 × 10 ^-5 y = 1.7265… φ3・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4402 × 10 ^-5 y = 2.3020… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1150 × 10 ^-4 y = 2.8775… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2445 × 10 ^-4 y = 3.4530… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4505 × 10 ^-4 y = 4.0285… φ3 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.7469 × 10 ^-4 y = 4.6040… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.1152 × 10 ^-3 y = 5.1795… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1723 × 10 ^-3 y = 5.7550… φ3 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.2629 × 10 ^-3

[Corresponding value of conditional expression (16) (aspherical surface of r17 in the fourth group Gr4)] y = 1.1100 ... φ4 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.8669×10 ^-7 y = 2.2200… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4639 × 10 ^-6 y = 3.3300… φ4・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2378 × 10 ^-5 y = 4.4400… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1729 × 10 ^-4 y = 5.5500… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.8596 × 10 ^-4 y = 6.6600… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2949 × 10 ^-3 y = 7.7700… φ4 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.7572 × 10 ^-3 y = 8.8800… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.1495 × 10 ^-2 y = 9.9900… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2123 × 10 ^-2 y = 11.1000… φ4 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.1195 × 10 ^-2

[Corresponding value of conditional expression (16) (aspherical surface of r18 in the fourth group Gr4)] y = 1.1800 ... φ4 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.3596×10 ^-5 y = 2.3600… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2985 × 10 ^-4 y = 3.5400… φ4・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1047 × 10 ^-3 y = 4.7200… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2509 × 10 ^-3 y = 5.9000… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4644 × 10 ^-3 y = 7.0800… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.6818 × 10 ^-3 y = 8.2600… φ4 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.7985 × 10 ^-3 y = 9.4400… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.9172 × 10 ^-3 y = 10.6200… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2240 × 10 ^-2 y = 11.8000… φ4 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.9419 × 10 ^-2

Example 3 f = 39.1 to 87.3 to 178.0 FNO = 4.12 to 7.00 to 9.80 [curvature radius] [axial upper surface spacing] [refractive index] [Abbe number] r1 34.212 d1 1.600 N1 1.84666 ν1 23.82 r2 * 25.250 d2 0.700 r3 27.548 d3 5.000 N2 1.51680 ν2 64.20 r4 1260.906 d4 4.442〜19.863〜31.218 r5 * -52.046 d5 1.400 N3 1.80500 ν3 40.97 r6 13.245 d6 0.600 r7 13.812 d7 4.500 N4 1.78472 ν4 25.75 r8 * 900.877 ∞ d9 11.000 N5 1.51680 ν5 64.20 r10 ∞ d10 0.200 r11 ∞ (aperture) d11 0.500 r12 24.346 d12 1.735 N6 1.84666 ν6 23.82 r13 14.575 d13 0.300 r14 14.881 d14 4.700 N7 1.51728 ν7 69.43 r15 * -20.102 d15 0.200 r16 regulation ) d16 23.776 ~ 10.154 ~ 2.500 r17 * -44.759 d17 4.000 N8 1.84666 ν8 23.82 r18 * -23.675 d18 3.600 r19 -14.620 d19 1.302 N9 1.67003 ν9 47.15 r20 125.845 Σd = 76.954 ~ 76.955 ~ 76.955

[0205] [aspherical coefficients] r2: ε = 1.0000 A4 = -0.72513 × 10 -6 A6 = 0.27339 × 10 -8 A8 = -0.43931 × 10 -10 A10 = 0.20537 × 10 -12 A12 = -0.40923 × 10 - ¹⁵ r5: ε = 1.0000 A4 = 0.15645 × 10 ^-4 A6 = 0.90716 × 10 ^-7 A8 = -0.12069 × 10 ^-9 A10 = -0.18612 × 10 ^-11 A12 = -0.27882 × 10 ^-14 r8: ε = 1.0000 A4 = 0.32037 × 10 ^-4 A6 = 0.12256 × 10 ^-6 A8 = 0.28467 × 10 ^-8 A10 = -0.12153 × 10 ^-10 A12 = -0.11544 × 10 ^-12 r15: ε = 1.0000 A4 = 0.56687 × 10 ^-5 A6 = 0.67729 × 10 ^-6 A8 = -0.17843 × 10 ^-7 A10 = 0.20784 × 10 ^-9 A12 = -0.22445 × 10 ^-12 r17: ε = 1.0000 A4 = -0.21161 × 10 ^-5 A6 = -0.96065 × 10 ^-7 A8 = 0.53593 × 10 ^-8 A10 = -0.23460 × 10 ^-10 A12 = -0.10282 × 10 ^-13 r18: ε = 1.0000 A4 = -0.15685 × 10 ^-4 A6 = -0.13645 × 10 ^-6 A8 = 0.22253 × 10 ^-8 A10 = 0.15154 × 10 ^-10 A12 = -0.13329 × 10 ^-12

[Corresponding value of conditional expression (6) (aspherical surface of r2 in the first group Gr1)] y = 1.3300 ... φ1 · (N′-N) · d {(X (y) -X0 (y) } / dy = 0.5728 × 10 ^-7 y = 2.6600… φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.4468 × 10 ^-6 y = 3.9900… φ1 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1465 × 10 ^-5 y = 5.3200… φ1 ・ (N'-N) ・ d {(X (y) -X0 ( y)} / dy = 0.3413 × 10 ^-5 y = 6.6500… φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.6738 × 10 ^-5 y = 7.9800… φ1・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1219 × 10 ^-4 y = 9.3100… φ1 ・ (N'-N) ・ d {(X (y)- X0 (y)} / dy = 0.2092 × 10 ^-4 y = 10.6400… φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.3445 × 10 ^-4 y = 11.9700 … Φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.5515 × 10 ^-4 y = 13.3000… φ1 ・ (N'-N) ・ d {(X (y ( ) -X0 (y)} / dy = 0.8846 × 10 ^-4

[Corresponding value of conditional expression (10) (aspherical surface of r5 in the second group Gr2)] y = 1.0900 ... φ2 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.1582×10 ^-5 y = 2.1800… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1304 × 10 ^-4 y = 3.2700… φ2・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4612 × 10 ^-4 y = 4.3600… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1160 × 10 ^-3 y = 5.4500… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2420 × 10 ^-3 y = 6.5400… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4460 × 10 ^-3 y = 7.6300… φ2 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.7461 × 10 ^-3 y = 8.7200… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.1141 × 10 ^-2 y = 9.8100… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1579 × 10 ^-2 y = 10.9000… φ2 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.1895 × 10 ^-2

[Corresponding value of conditional expression (10) (aspherical surface of r8 in the second group Gr2)] y = 0.8700 ... φ2 · (N′-N) · d {(X (y) -X0 (y) } / dy = 0.1596 × 10 ^-5 y = 1.7400… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1296 × 10 ^-4 y = 2.6100… φ2 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.4493 × 10 ^-4 y = 3.4800… φ2 ・ (N'-N) ・ d {(X (y) -X0 ( y)} / dy = 0.1112 × 10 ^-3 y = 4.3500… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.2313 × 10 ^-3 y = 5.2200… φ2・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.4336 × 10 ^-3 y = 6.0900… φ2 ・ (N'-N) ・ d {(X (y)- X0 (y)} / dy = 0.7569 × 10 ^-3 y = 6.9600… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1243 × 10 ^-2 y = 7.8300 … Φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1910 × 10 ^-2 y = 8.7000… φ2 ・ (N'-N) ・ d {(X (y (y ) -X0 (y)} / dy = 0.2680 × 10 ^-2

[Corresponding value of conditional expression (14) (aspherical surface of r15 in the third group Gr3)] y = 0.6723 ... φ3 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.1405×10 ^-6 y = 1.3446… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1357 × 10 ^-5 y = 2.0170… φ3・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.5729 × 10 ^-5 y = 2.6893… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1666 × 10 ^-4 y = 3.3616… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3824 × 10 ^-4 y = 4.0339… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.7408 × 10 ^-4 y = 4.7062… φ3 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.1271 × 10 ^-3 y = 5.3785… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.2033 × 10 ^-3 y = 6.0509… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3233 × 10 ^-3 y = 6.7232… φ3 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.5475 × 10 ^-3

[Corresponding value of conditional expression (16) (aspherical surface of r17 in the fourth group Gr4)] y = 1.1600 ... φ4 · (N′-N) · d {(X (y) -X0 (y) } / dy = 0.3836 × 10 ^-6 y = 2.3200… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.3470 × 10 ^-5 y = 3.4800… φ4 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1082 × 10 ^-4 y = 4.6400… φ4 ・ (N'-N) ・ d {(X (y) -X0 ( y)} / dy = 0.9023 × 10 ^-5 y = 5.8000… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.6057 × 10 ^-4 y = 6.9600… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3334 × 10 ^-3 y = 8.1200… φ4 ・ (N'-N) ・ d {(X (y (y ) -X0 (y)} / dy = -0.1010 × 10 -2 y = 9.2800 ... φ4 · (N'-N) · d {(X (y) -X0 (y)} / dy = -0.2213 × 10 - ² y = 10.4400… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3567 × 10 ^-2 y = 11.6000… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3276 × 10 ^-2

[Corresponding Value of Conditional Expression (16) (Aspherical Surface of r18 in Fourth Group Gr4)] y = 1.2000 ... φ4 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.2960×10 ^-5 y = 2.4000… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2478 × 10 ^-4 y = 3.6000… φ4・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.8768 × 10 ^-4 y = 4.8000… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2098 × 10 ^-3 y = 6.0000… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3751 × 10 ^-3 y = 7.2000… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4783 × 10 ^-3 y = 8.4000… φ4 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.2906 × 10 ^-3 y = 9.6000… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.3856 × 10 ^-3 y = 10.8000… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.9593 × 10 ^-3 y = 12.0000… φ4 ・ (N'-N)・ D {(X (y) -X0 (y)} / dy = -0.2165 × 10 ^-2

Example 4 f = 39.1 to 87.3 to 178.0 FNO = 4.12 to 7.00 to 9.80 [radius of curvature] [axis upper surface spacing] [refractive index] [Abbe number] r1 33.989 d1 1.600 N1 1.84666 ν1 23.82 r2 * 25.220 d2 0.700 r3 27.548 d3 5.000 N2 1.51680 ν2 64.20 r4 957.258 d4 4.442 ~ 20.099 ~ 31.631 r5 * -49.231 d5 1.400 N3 1.80500 ν3 40.97 r6 13.245 d6 0.500 r7 13.812 d7 4.500 N8 1.78472 ν4 25.75 r8 * 147.147 ∞ d9 11.000 N5 1.51680 ν5 64.20 r10 ∞ d10 0.200 r11 ∞ (diaphragm) d11 0.500 r12 24.323 d12 1.735 N6 1.84666 ν6 23.82 r13 14.525 d13 0.300 r14 14.914 d14 4.700 N7 1.51728 ν7 69.43 r15 * -19.925 d15 0.200 r16 plate ) d16 24.189 ~ 10.333 ~ 2.500 r17 * -42.343 d17 4.000 N8 1.84666 ν8 23.82 r18 * -23.268 d18 3.600 r19 -14.642 d19 1.302 N9 1.67003 ν9 47.15 r20 145.338 Σd = 76.868 ~ 76.868 ~ 76.868

[0213] [aspherical coefficients] r2: ε = 1.0000 A4 = -0.73453 × 10 -6 A6 = 0.41169 × 10 -8 A8 = -0.67955 × 10 -10 A10 = 0.37799 × 10 -12 A12 = -0.83384 × 10 - ¹⁵ r5: ε = 1.0000 A4 = 0.15343 × 10 ^-4 A6 = 0.77008 × 10 ^-7 A8 = 0.60256 × 10 ^-10 A10 = -0.28371 × 10 ^-11 A12 = -0.27882 × 10 ^-14 r8: ε = 1.0000 A4 = 0.30088 × 10 ^-4 A6 = 0.11694 × 10 ^-6 A8 = 0.27404 × 10 ^-8 A10 = -0.12391 × 10 ^-10 A12 = -0.11980 × 10 ^-12 r15: ε = 1.0000 A4 = 0.42446 × 10 ^-5 A6 = 0.67465 × 10 ^-6 A8 = -0.180 19 × 10 ^-7 A10 = 0.20833 × 10 ^-9 A12 = -0.21206 × 10 ^-12 r17: ε = 1.0000 A4 = -0.24741 × 10 ^-5 A6 = -0.83493 × 10 ^-7 A8 = 0.55732 × 10 ^-8 A10 = -0.25775 × 10 ^-10 A12 = -0.113 10 × 10 ^-14 r18: ε = 1.0000 A4 = -0.15950 × 10 ^-4 A6 = -0.11930 × 10 ^-6 A8 = 0.21416 × 10 ^-8 A10 = 0.15488 × 10 ^-10 A12 = -0.13287 × 10 ^-12

[Corresponding value of conditional expression (6) (aspherical surface of r2 in the first group Gr1)] y = 1.3300 ... φ1 · (N′-N) · d {(X (y) -X0 (y) } / dy = 0.5774 × 10 ^-7 y = 2.6600… φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.4449 × 10 ^-6 y = 3.9900… φ1 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1436 × 10 ^-5 y = 5.3200… φ1 ・ (N'-N) ・ d {(X (y) -X0 ( y)} / dy = 0.3312 × 10 ^-5 y = 6.6500… φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.6531 × 10 ^-5 y = 7.9800… φ1・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1188 × 10 ^-4 y = 9.3100… φ1 ・ (N'-N) ・ d {(X (y)- X0 (y)} / dy = 0.2041 × 10 ^-4 y = 10.6400… φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.3337 × 10 ^-4 y = 11.9700 … Φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.5317 × 10 ^-4 y = 13.3000… φ1 ・ (N'-N) ・ d {(X (y ( ) -X0 (y)} / dy = 0.8881 × 10 ^-4

[Corresponding value of conditional expression (10) (aspherical surface of r5 in the second group Gr2)] y = 1.0900 ... φ2 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.1549×10 ^-5 y = 2.1800… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1273 × 10 ^-4 y = 3.2700… φ2・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4481 × 10 ^-4 y = 4.3600… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1123 × 10 ^-3 y = 5.4500… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2338 × 10 ^-3 y = 6.5400… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4306 × 10 ^-3 y = 7.6300… φ2 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.7202 × 10 ^-3 y = 8.7200… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.1098 × 10 ^-2 y = 9.8100… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1498 × 10 ^-2 y = 10.9000… φ2 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.1722 × 10 ^-2

[Corresponding value of conditional expression (10) (aspherical surface of r8 in the second group Gr2)] y = 0.8700 ... φ2 · (N′-N) · d {(X (y) -X0 (y) } / dy = 0.1499 × 10 ^-5 y = 1.7400… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1217 × 10 ^-4 y = 2.6100… φ2 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.4223 × 10 ^-4 y = 3.4800… φ2 ・ (N'-N) ・ d {(X (y) -X0 ( y)} / dy = 0.1046 × 10 ^-3 y = 4.3500… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.2177 × 10 ^-3 y = 5.2200… φ2・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.4084 × 10 ^-3 y = 6.0900… φ2 ・ (N'-N) ・ d {(X (y)- X0 (y)} / dy = 0.7125 × 10 ^-3 y = 6.9600… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1167 × 10 ^-2 y = 7.8300 … Φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1780 × 10 ^-2 y = 8.7000… φ2 ・ (N'-N) ・ d {(X (y (y ) -X0 (y)} / dy = 0.2457 × 10 ^-2

[Corresponding value of conditional expression (14) (aspherical surface of r15 in the third group Gr3)] y = 0.6723 ... φ3 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.1077×10 ^-6 y = 1.3446… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1094 × 10 ^-5 y = 2.0170… φ3・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4833 × 10 ^-5 y = 2.6893… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1450 × 10 ^-4 y = 3.3616… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3391 × 10 ^-4 y = 4.0339… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.6627 × 10 ^-4 y = 4.7062… φ3 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.1140 × 10 ^-3 y = 5.3785… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.1824 × 10 ^-3 y = 6.0509… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2912 × 10 ^-3 y = 6.7232… φ3 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.5003 × 10 ^-3

[Corresponding value of conditional expression (16) (aspherical surface of r17 in the fourth group Gr4)] y = 1.1600 ... φ4 · (N′-N) · d {(X (y) -X0 (y) } / dy = 0.4356 × 10 ^-6 y = 2.3200… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.3768 × 10 ^-5 y = 3.4800… φ4 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1108 × 10 ^-4 y = 4.6400… φ4 ・ (N'-N) ・ d {(X (y) -X0 ( y)} / dy = 0.6884 × 10 ^-5 y = 5.8000… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.7203 × 10 ^-4 y = 6.9600… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3685 × 10 ^-3 y = 8.1200… φ4 ・ (N'-N) ・ d {(X (y ( ) -X0 (y)} / dy = -0.1093 × 10 -2 y = 9.2800 ... φ4 · (N'-N) · d {(X (y) -X0 (y)} / dy = -0.2387 × 10 - ² y = 10.4400… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3921 × 10 ^-2 y = 11.6000… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4051 × 10 ^-2

[Corresponding value of conditional expression (16) (aspherical surface of r18 in the fourth group Gr4)] y = 1.2000 ... φ4 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.2979×10 ^-5 y = 2.4000… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2476 × 10 ^-4 y = 3.6000… φ4・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.8677 × 10 ^-4 y = 4.8000… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2052 × 10 ^-3 y = 6.0000… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3610 × 10 ^-3 y = 7.2000… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4449 × 10 ^-3 y = 8.4000… φ4 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.2227 × 10 ^-3 y = 9.6000… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.5168 × 10 ^-3 y = 10.8000… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1222 × 10 ^-2 y = 12.0000… φ4 ・ (N'-N)・ D {(X (y) -X0 (y)} / dy = -0.1596 × 10 ^-2

Example 5 f = 39.1 to 87.3 to 178.0 FNO = 4.12 to 7.00 to 9.50 [curvature radius] [axis upper surface interval] [refractive index] [Abbe number] r1 32.314 d1 2.500 N1 1.84666 ν1 23.82 r2 * 24.370 d2 0.500 r3 27.548 d3 4.803 N2 1.51680 ν2 64.20 r4 640.381 d4 3.240〜19.240〜36.240 r5 * -53.447 d5 1.700 N3 1.80700 ν3 39.79 r6 13.245 d6 0.400 r7 13.812 d7 4.500 n4 1.78472 ν4 25.75 r8 * 8 9.79 ∞ d9 11.000 N5 1.51680 ν5 64.20 r10 ∞ d10 0.700 r11 ∞ (aperture) d11 0.500 r12 21.427 d12 1.735 N6 1.84666 ν6 23.82 r13 13.712 d13 0.300 r14 14.360 d14 4.700 N7 1.51728 ν7 69.43 r15 * -21.848 d15 0.200 r16 plate ) d16 24.339 ~ 10.741 ~ 2.500 r17 * -91.233 d17 4.500 N8 1.84666 ν8 23.82 r18 * -26.641 d18 3.500 r19 -14.378 d19 1.200 N9 1.74400 ν9 44.93 r20 130.803 Σd = 79.312 ~ 79.586 ~ 82.866

[0221] [aspherical coefficients] r2: ε = 1.0000 A4 = -0.10486 × 10 -5 A6 = 0.13352 × 10 -7 A8 = -0.20956 × 10 -9 A10 = 0.12744 × 10 -11 A12 = -0.28614 × 10 - ¹⁴ r5: ε = 1.0000 A4 = 0.15438 × 10 ^-4 A6 = -0.85441 × 10 ^-8 A8 = 0.38520 × 10 ^-9 A10 = -0.17754 × 10 ^-11 A12 = -0.27882 × 10 ^-14 r8: ε = 1.0000 A4 = 0.27189 × 10 ^-4 A6 = 0.10225 × 10 ^-7 A8 = 0.22886 × 10 ^-8 A10 = -0.11306 × 10 ^-10 A12 = -0.29531 × 10 ^-13 r15: ε = 1.0000 A4 = 0.93563 × 10 ^-5 A6 = 0.41482 × 10 ^-6 A8 = -0.17017 × 10 ^-7 A10 = 0.22823 × 10 ^-9 A12 = -0.46080 × 10 ^-13 r17: ε = 1.0000 A4 = 0.60640 × 10 ^-5 A6 = -0.10928 × 10 ^-6 A8 = 0.35619 × 10 ^-8 A10 = -0.17088 × 10 ^-10 A12 = -0.99510 × 10 ^-14 r18: ε = 1.0000 A4 = -0.16264 × 10 ^-4 A6 = -0.13371 × 10 ^-6 A8 = 0.18474 × 10 ^-8 A10 = 0.56204 × 10 ^-11 A12 = -0.99199 × 10 ^-13

[Corresponding value of conditional expression (6) (aspherical surface of r2 in the first group Gr1)] y = 1.3300 ... φ1 · (N′-N) · d {(X (y) -X0 (y) } / dy = 0.8164 × 10 ^-7 y = 2.6600… φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.5967 × 10 ^-6 y = 3.9900… φ1 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1790 × 10 ^-5 y = 5.3200… φ1 ・ (N'-N) ・ d {(X (y) -X0 ( y)} / dy = 0.3867 × 10 ^-5 y = 6.6500… φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.7443 × 10 ^-5 y = 7.9800… φ1・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1376 × 10 ^-4 y = 9.3100… φ1 ・ (N'-N) ・ d {(X (y)- X0 (y)} / dy = 0.2405 × 10 ^-4 y = 10.6400… φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.3875 × 10 ^-4 y = 11.9700 … Φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.6044 × 10 ^-4 y = 13.3000… φ1 ・ (N'-N) ・ d {(X (y (y ) -X0 (y)} / dy = 0.1120 × 10 ^-3

[Corresponding value of conditional expression (10) (aspherical surface of r5 in the second group Gr2)] y = 1.0900 ... φ2 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.1793×10 ^-5 y = 2.1800… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1431 × 10 ^-4 y = 3.2700… φ2・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4827 × 10 ^-4 y = 4.3600… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1149 × 10 ^-3 y = 5.4500… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2268 × 10 ^-3 y = 6.5400… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3997 × 10 ^-3 y = 7.6300… φ2 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.6510 × 10 ^-3 y = 8.7200… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.9929 × 10 ^-3 y = 9.8100… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1412 × 10 ^-2 y = 10.9000… φ2 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.1822 × 10 ^-2

[Corresponding value of conditional expression (10) (aspherical surface of r8 in the second group Gr2)] y = 0.8700 ... φ2 · (N′-N) · d {(X (y) -X0 (y) } / dy = 0.1563 × 10 ^-5 y = 1.7400… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1254 × 10 ^-4 y = 2.6100… φ2 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.4266 × 10 ^-4 y = 3.4800… φ2 ・ (N'-N) ・ d {(X (y) -X0 ( y)} / dy = 0.1029 × 10 ^-3 y = 4.3500… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.2077 × 10 ^-3 y = 5.2200… φ2・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.3771 × 10 ^-3 y = 6.0900… φ2 ・ (N'-N) ・ d {(X (y)- X0 (y)} / dy = 0.6395 × 10 ^-3 y = 6.9600… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1029 × 10 ^-2 y = 7.8300 … Φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1574 × 10 ^-2 y = 8.7000… φ2 ・ (N'-N) ・ d {(X (y (y ) -X0 (y)} / dy = 0.2264 × 10 ⁻²

[Corresponding Value of Conditional Expression (14) (Aspherical Surface of r15 in Third Group Gr3)] y = 0.6349 ... φ3 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.1871×10 ^-6 y = 1.2698… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1602 × 10 ^-5 y = 1.9047… φ3・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.5889 × 10 ^-5 y = 2.5396… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1510 × 10 ^-4 y = 3.1744… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3106 × 10 ^-4 y = 3.8093… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.5453 × 10 ^-4 y = 4.4442… φ3 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.8518 × 10 ^-4 y = 5.0791… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.1246 × 10 ^-3 y = 5.7140… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1860 × 10 ^-3 y = 6.3489… φ3 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.3146 × 10 ^-3

[Corresponding value of conditional expression (16) (aspherical surface of r17 in the fourth group Gr4)] y = 1.1200 ... φ4 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.8643×10 ^-6 y = 2.2400… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.6379 × 10 ^-5 y = 3.3600… φ4・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2011 × 10 ^-4 y = 4.4800… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4989 × 10 ^-4 y = 5.6000… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1212 × 10 ^-3 y = 6.7200… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2904 × 10 ^-3 y = 7.8400… φ4 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.6342 × 10 ^-3 y = 8.9600… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.1167 × 10 ^-2 y = 10.0800… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1606 × 10 ^-2 y = 11.2000… φ4 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.8664 × 10 ^-3

[Corresponding value of conditional expression (16) (aspherical surface of r18 in the fourth group Gr4)] y = 1.1800 ... φ4 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.2847×10 ^-5 y = 2.3600… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2378 × 10 ^-4 y = 3.5400… φ4・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.8451 × 10 ^-4 y = 4.7200… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2074 × 10 ^-3 y = 5.9000… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4006 × 10 ^-3 y = 7.0800… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.6376 × 10 ^-3 y = 8.2600… φ4 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.8703 × 10 ^-3 y = 9.4400… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.1201 × 10 ^-2 y = 10.6200… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2496 × 10 ^-2 y = 11.8000… φ4 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.8005 × 10 ^-2

Example 6 f = 39.1 to 87.3 to 178.0 FNO = 4.12 to 7.00 to 9.50 [curvature radius] [axis upper surface spacing] [refractive index] [Abbe number] r1 31.822 d1 2.000 N1 1.84666 ν1 23.82 r2 * 24.038 d2 0.500 r3 27.548 d3 5.000 N2 1.51680 ν2 64.20 r4 714.291 d4 1.500〜17.500〜36.500 r5 * -53.899 d5 1.600 N3 1.80700 ν3 39.79 r6 13.245 d6 0.500 r7 13.812 d7 4.600 N4 1.78472 ν4 25.75 r8 * 91.0888 1110 ∞ d9 11.000 N5 1.51680 ν5 64.20 r10 ∞ d10 0.200 r11 ∞ (aperture) d11 0.500 r12 22.991 d12 1.735 N6 1.84666 ν6 23.82 r13 14.003 d13 0.300 r14 14.451 d14 4.700 N7 1.51728 ν7 69.43 r15 * -21.067 d15 0.200 r16 plate ) d16 23.869 to 10.875 to 2.700 r17 * -80.435 d17 4.400 N8 1.84666 ν8 23.82 r18 * -25.446 d18 3.300 r19 -14.082 d19 1.302 N9 1.74400 ν9 44.93 r20 119.136 Σd = 75.706 to 76.277 to 82.632

[0229] [aspherical coefficients] r2: ε = 1.0000 A4 = -0.95844 × 10 -6 A6 = 0.43500 × 10 -8 A8 = -0.75930 × 10 -10 A10 = 0.40266 × 10 -12 A12 = -0.88228 × 10 - ¹⁵ r5: ε = 1.0000 A4 = 0.15591 × 10 ^-4 A6 = 0.46875 × 10 ^-7 A8 = -0.93570 × 10 ^-11 A10 = -0.85301 × 10 ^-12 A12 = -0.27882 × 10 ^-14 r8: ε = 1.0000 A4 = 0.30441 × 10 ^-4 A6 = 0.58747 × 10 ^-7 A8 = 0.23924 × 10 ^-8 A10 = -0.12474 × 10 ^-10 A12 = -0.29758 × 10 ^-13 r15: ε = 1.0000 A4 = 0.73939 × 10 ^-5 A6 = 0.45904 × 10 ^-6 A8 = -0.16826 × 10 ^-7 A10 = 0.23028 × 10 ^-9 A12 = -0.30030 × 10 ^-13 r17: ε = 1.0000 A4 = 0.49253 × 10 ^-5 A6 = -0.10596 × 10 ^-6 A8 = 0.43371 × 10 ^-8 A10 = -0.22541 × 10 ^-10 A12 = -0.11971 × 10 ^-13 r18: ε = 1.0000 A4 = -0.18625 × 10 ^-4 A6 = -0.11558 × 10 ^-6 A8 = 0.19965 × 10 ^-8 A10 = 0.70729 x 10 ^-11 A12 = -0.12821 x 10 ^-12

[Corresponding value of conditional expression (6) (aspherical surface of r2 in the first group Gr1)] y = 1.3300 ... φ1 · (N′-N) · d {(X (y) -X0 (y) } / dy = 0.7556 × 10 ^-7 y = 2.6600… φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.5867 × 10 ^-6 y = 3.9900… φ1 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1915 × 10 ^-5 y = 5.3200… φ1 ・ (N'-N) ・ d {(X (y) -X0 ( y)} / dy = 0.4463 × 10 ^-5 y = 6.6500… φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.8872 × 10 ^-5 y = 7.9800… φ1・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1623 × 10 ^-4 y = 9.3100… φ1 ・ (N'-N) ・ d {(X (y)- X0 (y)} / dy = 0.2811 × 10 ^-4 y = 10.6400… φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.4656 × 10 ^-4 y = 11.9700 … Φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.7533 × 10 ^-4 y = 13.3000… φ1 ・ (N'-N) ・ d {(X (y ( ) -X0 (y)} / dy = 0.1257 × 10 ^-3

[Corresponding value of conditional expression (10) (aspherical surface of r5 in the second group Gr2)] y = 1.0900 ... φ2 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.1618×10 ^-5 y = 2.1800… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1315 × 10 ^-4 y = 3.2700… φ2・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4555 × 10 ^-4 y = 4.3600… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1117 × 10 ^-3 y = 5.4500… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2272 × 10 ^-3 y = 6.5400… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4097 × 10 ^-3 y = 7.6300… φ2 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.6766 × 10 ^-3 y = 8.7200… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.1037 × 10 ^-2 y = 9.8100… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1473 × 10 ^-2 y = 10.9000… φ2 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.1904 × 10 ^-2

[Corresponding value of conditional expression (10) (aspherical surface of r8 in the second group Gr2)] y = 0.8700 ... φ2 · (N′-N) · d {(X (y) -X0 (y) } / dy = 0.1558 × 10 ^-5 y = 1.7400… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1256 × 10 ^-4 y = 2.6100… φ2 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.4308 × 10 ^-4 y = 3.4800… φ2 ・ (N'-N) ・ d {(X (y) -X0 ( y)} / dy = 0.1051 × 10 ^-3 y = 4.3500… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.2144 × 10 ^-3 y = 5.2200… φ2・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.3939 × 10 ^-3 y = 6.0900… φ2 ・ (N'-N) ・ d {(X (y)- X0 (y)} / dy = 0.6747 × 10 ^-3 y = 6.9600… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1095 × 10 ^-2 y = 7.8300 … Φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1689 × 10 ^-2 y = 8.7000… φ2 ・ (N'-N) ・ d {(X (y (y ) -X0 (y)} / dy = 0.2454 × 10 ^-2

[Corresponding value of conditional expression (14) (aspherical surface of r15 in the third group Gr3)] y = 0.5904 ... φ3 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.1173×10 ^-6 y = 1.1807… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1019 × 10 ^-5 y = 1.7711… φ3・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3834 × 10 ^-5 y = 2.3614… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.10 12 × 10 ^-4 y = 2.9518… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2155 × 10 ^-4 y = 3.5421… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3940 × 10 ^-4 y = 4.1325… φ3 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.6430 × 10 ^-4 y = 4.7228… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.9738 × 10 ^-4 y = 5.3132… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1446 × 10 ^-3 y = 5.9035… φ3 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.2267 × 10 ^-3

[Corresponding value of conditional expression (16) (aspherical surface of r17 in the fourth group Gr4)] y = 1.1100 ... φ4 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.7140×10 ^-6 y = 2.2200… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.5234 × 10 ^-5 y = 3.3300… φ4・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1688 × 10 ^-4 y = 4.4400… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4554 × 10 ^-4 y = 5.5500… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1238 × 10 ^-3 y = 6.6600… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3214 × 10 ^-3 y = 7.7700… φ4 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.7265 × 10 ^-3 y = 8.8800… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.1334 × 10 ^-2 y = 9.9900… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1743 × 10 ^-2 y = 11.1000… φ4 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.5032 × 10 ^-3

[Corresponding value of conditional expression (16) (aspherical surface of r18 in the fourth group Gr4)] y = 1.1800 ... φ4 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.3411×10 ^-5 y = 2.3600… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2816 × 10 ^-4 y = 3.5400… φ4・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.9838 × 10 ^-4 y = 4.7200… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2362 × 10 ^-3 y = 5.9000… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4441 × 10 ^-3 y = 7.0800… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.6831 × 10 ^-3 y = 8.2600… φ4 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.9048 × 10 ^-3 y = 9.4400… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.1307 × 10 ^-2 y = 10.6200… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3198 × 10 ^-2 y = 11.8000… φ4 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.1125 × 10 ^-1

Example 7 f = 39.1 to 87.3 to 178.0 FNO = 4.12 to 7.00 to 9.50 [curvature radius] [axis upper surface spacing] [refractive index] [Abbe number] r1 32.525 d1 2.500 N1 1.84666 ν1 23.82 r2 * 24.445 d2 0.500 r3 27.548 d3 4.803 N2 1.51680 ν2 64.20 r4 705.373 d4 3.240 ~ 19.240 ~ 36.240 r5 * -53.635 d5 1.700 N3 1.80700 ν3 39.79 r6 13.245 d6 0.500 r7 13.812 d7 4.500 n4 1.78472 ν4 25.75 r8 * 79.869 ∞ d9 11.000 N5 1.51680 ν5 64.20 r10 ∞ d10 0.700 r11 ∞ (aperture) d11 0.500 r12 21.462 d12 1.735 N6 1.84666 ν6 23.82 r13 13.705 d13 0.300 r14 14.306 d14 4.700 N7 1.51728 ν7 69.43 r15 * -21.883 d15 0.200 r16 ) d16 24.11 to 10.676 to 2.500 r17 * -93.734 d17 4.500 N8 1.84666 ν8 23.82 r18 * -26.808 d18 3.500 r19 -14.422 d19 1.200 N9 1.74400 ν9 44.93 r20 125.570 Σd = 79.189 to 79.466 to 82.715

[0237] [aspherical coefficients] r2: ε = 1.0000 A4 = -0.93771 × 10 -6 A6 = 0.98042 × 10 -8 A8 = -0.15774 × 10 -9 A10 = 0.95526 × 10 -12 A12 = -0.21664 × 10 - ¹⁴ r5: ε = 1.0000 A4 = 0.16117 × 10 ^-4 A6 = -0.82379 × 10 ^-8 A8 = 0.47967 × 10 ^-9 A10 = -0.23226 × 10 ^-11 A12 = -0.27882 × 10 ^-14 r8: ε = 1.0000 A4 = 0.28766 × 10 ^-4 A6 = 0.31932 × 10 ^-7 A8 = 0.23659 × 10 ^-8 A10 = -0.11119 × 10 ^-10 A12 = -0.30194 × 10 ^-13 r15: ε = 1.0000 A4 = 0.10069 × 10 ^-4 A6 = 0.42316 × 10 ^-6 A8 = -0.16964 × 10 ^-7 A10 = 0.22839 × 10 ^-9 A12 = -0.46096 × 10 ^-13 r17: ε = 1.0000 A4 = 0.61828 × 10 ^-5 A6 = -0.11148 × 10 ^-6 A8 = 0.34762 × 10 ^-8 A10 = -0.16648 × 10 ^-10 A12 = -0.42342 × 10 ^-14 r18: ε = 1.0000 A4 = -0.15908 × 10 ^-4 A6 = -0.13729 × 10 ^-6 A8 = 0.17717 × 10 ^-8 A10 = 0.56731 × 10 ^-11 A12 = -0.91010 × 10 ^-13

[Corresponding value of conditional expression (6) (aspherical surface of r2 in the first group Gr1)] y = 1.3300 ... φ1 · (N′-N) · d {(X (y) -X0 (y) } / dy = 0.7344 × 10 ^-7 y = 2.6600… φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.5463 × 10 ^-6 y = 3.9900… φ1 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1682 × 10 ^-5 y = 5.3200… φ1 ・ (N'-N) ・ d {(X (y) -X0 ( y)} / dy = 0.3730 × 10 ^-5 y = 6.6500… φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.7269 × 10 ^-5 y = 7.9800… φ1・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1340 × 10 ^-4 y = 9.3100… φ1 ・ (N'-N) ・ d {(X (y)- X0 (y)} / dy = 0.2332 × 10 ^-4 y = 10.6400… φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.3785 × 10 ^-4 y = 11.9700 … Φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.5993 × 10 ^-4 y = 13.3000… φ1 ・ (N'-N) ・ d {(X (y (y ) -X0 (y)} / dy = 0.1088 × 10 ^-3

[Corresponding value of conditional expression (10) (aspherical surface of r5 in the second group Gr2)] y = 1.0900 ... φ2 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.5173×10 ^-5 y = 2.1800… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4132 × 10 ^-4 y = 3.2700… φ2・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1395 × 10 ^-3 y = 4.3600… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3328 × 10 ^-3 y = 5.4500… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.6600 × 10 ^-3 y = 6.5400… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1170 × 10 ^-2 y = 7.6300… φ2 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.1918 × 10 ^-2 y = 8.7200… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.2942 × 10 ^-2 y = 9.8100… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4196 × 10 ^-2 y = 10.9000… φ2 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.5392 × 10 ^-2

[Corresponding value of conditional expression (10) (aspherical surface of r8 in the second group Gr2)] y = 0.8700 ... φ2 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.288 1 × 10 ^-5 y = 1.7400… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2317 × 10 ^-4 y = 2.6100… φ2・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.7914 × 10 ^-4 y = 3.4800… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1920 × 10 ^-3 y = 4.3500… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3897 × 10 ^-3 y = 5.2200… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.7124 × 10 ^-3 y = 6.0900… φ2 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.1217 × 10 ^-2 y = 6.9600… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.1973 × 10 ^-2 y = 7.8300… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3048 × 10 ^-2 y = 8.7000… φ2 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.4449 × 10 ^-2

[Corresponding Value of Conditional Expression (14) (Aspherical Surface of r15 in Third Group Gr3)] y = 0.6349 ... φ3 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.2011×10 ^-6 y = 1.2698… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1716 × 10 ^-5 y = 1.9047… φ3・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.6288 × 10 ^-5 y = 2.5396… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1609 × 10 ^-4 y = 3.1744… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3313 × 10 ^-4 y = 3.8093… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.5839 × 10 ^-4 y = 4.4442… φ3 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.9189 × 10 ^-4 y = 5.0791… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.1357 × 10 ^-3 y = 5.7140… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2037 × 10 ^-3 y = 6.3489… φ3 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.3421 × 10 ^-3

[Corresponding value of conditional expression (16) (aspherical surface of r17 in the fourth group Gr4)] y = 1.1200 ... φ4 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.8814×10 ^-6 y = 2.2400… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.6497 × 10 ^-5 y = 3.3600… φ4・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2037 × 10 ^-4 y = 4.4800… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4985 × 10 ^-4 y = 5.6000… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1193 × 10 ^-3 y = 6.7200… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2839 × 10 ^-3 y = 7.8400… φ4 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.6227 × 10 ^-3 y = 8.9600… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.1169 × 10 ^-2 y = 10.0800… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1713 × 10 ^-2 y = 11.2000… φ4 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.1371 × 10 ^-2

[Corresponding value of conditional expression (16) (aspherical surface of r18 in the fourth group Gr4)] y = 1.1800 ... φ4 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.2788×10 ^-5 y = 2.3600… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2335 × 10 ^-4 y = 3.5400… φ4・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.8330 × 10 ^-4 y = 4.7200… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2056 × 10 ^-3 y = 5.9000… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4002 × 10 ^-3 y = 7.0800… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.6424 × 10 ^-3 y = 8.2600… φ4 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.8789 × 10 ^-3 y = 9.4400… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.1173 × 10 ^-2 y = 10.6200… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2247 × 10 ^-2 y = 11.8000… φ4 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.6929 × 10 ^-2

Example 8 f = 39.1 to 87.3 to 178.0 FNO = 4.12 to 7.00 to 9.50 [curvature radius] [axis upper surface spacing] [refractive index] [Abbe number] r1 32.044 d1 2.000 N1 1.84666 ν1 23.82 r2 * 24.268 d2 0.500 r3 27.548 d3 5.000 N2 1.51680 ν2 64.20 r4 595.249 d4 2.000 ~ 18.000 ~ 37.000 r5 * -53.559 d5 1.500 N3 1.80700 ν3 39.79 r6 13.245 d6 0.500 r7 13.812 d7 4.600 n4 1.78472 ν4 25.75 r8 * 9 112.354 ∞ d9 11.000 N5 1.51680 ν5 64.20 r10 ∞ d10 0.200 r11 ∞ (aperture) d11 0.500 r12 23.170 d12 1.735 N6 1.84666 ν6 23.82 r13 14.086 d13 0.300 r14 14.529 d14 4.700 N7 1.51728 ν7 69.43 r15 * -20.959 d15 0.200 r regulation ) d16 24.215 ~ 10.993 ~ 2.500 r17 * -73.362 d17 4.400 N8 1.84666 ν8 23.82 r18 * -25.000 d18 3.300 r19 -14.037 d19 1.302 N9 1.74400 ν9 44.93 r20 137.571 Σd = 76.252 ~ 76.802 ~ 82.393

[0245] [aspherical coefficients] r2: ε = 1.0000 A4 = -0.87731 × 10 -6 A6 = 0.41058 × 10 -8 A8 = -0.66650 × 10 -10 A10 = 0.33563 × 10 -12 A12 = -0.69904 × 10 - ¹⁵ r5: ε = 1.0000 A4 = 0.18292 × 10 ^-4 A6 = 0.32136 × 10 ^-7 A8 = 0.40496 × 10 ^-10 A10 = -0.89038 × 10 ^-12 A12 = -0.27882 × 10 ^-14 r8: ε = 1.0000 A4 = 0.33547 × 10 ^-4 A6 = 0.44905 × 10 ^-7 A8 = 0.23663 × 10 ^-8 A10 = -0.11858 × 10 ^-10 A12 = -0.27406 × 10 ^-13 r15: ε = 1.0000 A4 = 0.64880 × 10 ^-5 A6 = 0.46968 × 10 ^-6 A8 = -0.16718 × 10 ^-7 A10 = 0.23128 × 10 ^-9 A12 = -0.23623 × 10 ^-13 r17: ε = 1.0000 A4 = 0.36354 × 10 ^-5 A6 = -0.96702 × 10 ^-7 A8 = 0.44527 × 10 ^-8 A10 = -0.237 13 × 10 ^-10 A12 = -0.66305 × 10 ^-14 r18: ε = 1.0000 A4 = -0.18864 × 10 ^-4 A6 = -0.12379 × 10 ^-6 A8 = 0.21540 × 10 ^-8 A10 = 0.76630 × 10 ^-11 A12 = -0.13383 × 10 ^-12

[Corresponding value of conditional expression (6) (aspherical surface of r2 in the first group Gr1)] y = 1.3300 ... φ1 · (N′-N) · d {(X (y) -X0 (y) } / dy = 0.6913 × 10 ^-7 y = 2.6600… φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.5360 × 10 ^-6 y = 3.9900… φ1 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1744 × 10 ^-5 y = 5.3200… φ1 ・ (N'-N) ・ d {(X (y) -X0 ( y)} / dy = 0.4043 × 10 ^-5 y = 6.6500… φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.7986 × 10 ^-5 y = 7.9800… φ1・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1453 × 10 ^-4 y = 9.3100… φ1 ・ (N'-N) ・ d {(X (y)- X0 (y)} / dy = 0.2508 × 10 ^-4 y = 10.6400 ... φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.4147 × 10 ^-4 y = 11.9700 … Φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.6670 × 10 ^-4 y = 13.3000… φ1 ・ (N'-N) ・ d {(X (y (y ) -X0 (y)} / dy = 0.1091 × 10 ^-3

[Corresponding value of conditional expression (10) (aspherical surface of r5 in the second group Gr2)] y = 1.0900 ... φ2 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.1895×10 ^-5 y = 2.1800… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1530 × 10 ^-4 y = 3.2700… φ2・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.5245 × 10 ^-4 y = 4.3600… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1270 × 10 ^-3 y = 5.4500… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2547 × 10 ^-3 y = 6.5400… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4527 × 10 ^-3 y = 7.6300… φ2 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.7380 × 10 ^-3 y = 8.7200… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.1119 × 10 ^-2 y = 9.8100… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1579 × 10 ^-2 y = 10.9000… φ2 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.2041 × 10 ^-2

[Corresponding value of conditional expression (10) (aspherical surface of r8 in the second group Gr2)] y = 0.8700 ... φ2 · (N′-N) · d {(X (y) -X0 (y) } / dy = 0.1715 × 10 ^-5 y = 1.7400… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1380 × 10 ^-4 y = 2.6100… φ2 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.4717 × 10 ^-4 y = 3.4800… φ2 ・ (N'-N) ・ d {(X (y) -X0 ( y)} / dy = 0.1144 × 10 ^-3 y = 4.3500… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.2317 × 10 ^-3 y = 5.2200… φ2・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.4218 × 10 ^-3 y = 6.0900… φ2 ・ (N'-N) ・ d {(X (y)- X0 (y)} / dy = 0.7160 × 10 ^-3 y = 6.9600… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1153 × 10 ^-2 y = 7.8300 … Φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1767 × 10 ^-2 y = 8.7000… φ2 ・ (N'-N) ・ d {(X (y (y ) -X0 (y)} / dy = 0.2563 × 10 ^-2

[Corresponding Value of Conditional Expression (14) (Aspherical Surface of r15 in Third Group Gr3)] y = 0.5830 ... φ3 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.9953×10 ^-7 y = 1.1660… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.8746 × 10 ^-6 y = 1.7490… φ3・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3336 × 10 ^-5 y = 2.3321… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.8928 × 10 ^-5 y = 2.9151… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1927 × 10 ^-4 y = 3.4981… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3568 × 10 ^-4 y = 4.0811… φ3 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.5896 × 10 ^-4 y = 4.6641… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.9040 × 10 ^-4 y = 5.2471… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1356 × 10 ^-3 y = 5.8302… φ3 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.2134 × 10 ^-3

[Corresponding value of conditional expression (16) (aspherical surface of r17 in the fourth group Gr4)] y = 1.1100 ... φ4 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.5205×10 ^-6 y = 2.2200… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3756 × 10 ^-5 y = 3.3300… φ4・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1232 × 10 ^-4 y = 4.4400… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3628 × 10 ^-4 y = 5.5500… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1100 × 10 ^-3 y = 6.6600… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3069 × 10 ^-3 y = 7.7700… φ4 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.7218 × 10 ^-3 y = 8.8800… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.1362 × 10 ^-2 y = 9.9900… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1854 × 10 ^-2 y = 11.1000… φ4 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.8232 × 10 ^-3

[Corresponding value of conditional expression (16) (aspherical surface of r18 in the fourth group Gr4)] y = 1.1800 ... φ4 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.3445×10 ^-5 y = 2.3600… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2849 × 10 ^-4 y = 3.5400… φ4・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.9968 × 10 ^-4 y = 4.7200… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2393 × 10 ^-3 y = 5.9000… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4480 × 10 ^-3 y = 7.0800… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.6800 × 10 ^-3 y = 8.2600… φ4 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.8712 × 10 ^-3 y = 9.4400… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.1196 × 10 ^-2 y = 10.6200… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2954 × 10 ^-2 y = 11.8000… φ4 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.1088 × 10 ^-1

Example 9 f = 39.1 to 87.3 to 178.0 FNO = 4.12 to 7.00 to 9.50 [curvature radius] [axial upper surface spacing] [refractive index] [Abbe number] r1 31.928 d1 1.800 N1 1.84666 ν1 23.82 r2 * 24.683 d2 0.500 r3 27.548 d3 5.000 N2 1.51680 ν2 64.20 r4 356.491 d4 2.742 ~ 18.742 ~ 37.742 r5 * -55.734 d5 1.400 N3 1.80700 ν3 39.79 r6 13.245 d6 0.500 r7 13.812 d7 4.600 N4 1.78472 ν4 25.75 r8600.19. ∞ (Aperture) d9 0.500 r10 23.049 d10 1.735 N5 1.84666 ν5 23.82 r11 14.235 d11 0.300 r12 14.420 d12 4.700 N6 1.51728 ν6 69.43 r13 * -21.587 d13 0.200 r14 ∞ (Luminous flux control plate) d14 22.237 ~ 10.475 ~ 2.500 r15 * -56.164 4.300 N7 1.84666 ν7 23.82 r16 * -24.443 d16 3.300 r17 -14.078 d17 1.302 N8 1.74400 ν8 44.93 r18 227.830 Σd = 74.716 ~ 75.900 ~ 82.564

[0253] [aspherical coefficients] r2: ε = 1.0000 A4 = -0.10387 × 10 -5 A6 = 0.14003 × 10 -7 A8 = -0.19371 × 10 -9 A10 = 0.10911 × 10 -11 A12 = -0.22935 × 10 - ¹⁴ r5: ε = 1.0000 A4 = 0.221 11 × 10 ^-4 A6 = 0.71361 × 10 ^-7 A8 = -0.19282 × 10 ^-9 A10 = 0.12651 × 10 ^-12 A12 = -0.27882 × 10 ^-14 r8: ε = 1.0000 A4 = 0.34892 × 10 ^-4 A6 = 0.90608 × 10 ^-7 A8 = 0.21963 × 10 ^-8 A10 = -0.11066 × 10 ^-10 A12 = 0.28057 × 10 ^-14 r13: ε = 1.0000 A4 = 0.11678 × 10 ^-4 A6 = 0.47826 × 10 ^-6 A8 = -0.16743 × 10 ^-7 A10 = 0.23096 × 10 ^-9 A12 = -0.25236 × 10 ^-13 r15: ε = 1.0000 A4 = 0.15706 × 10 ^-5 A6 = -0.87296 × 10 ^-7 A8 = 0.45867 × 10 ^-8 A10 = -0.25741 × 10 ^-10 A12 = -0.81964 × 10 ^-15 r16: ε = 1.0000 A4 = -0.19052 × 10 ^-4 A6 = -0.14488 × 10 ^-6 A8 = 0.24153 × 10 ^-8 A10 = 0.75600 × 10 ^-11 A12 = -0.12536 × 10 ^-12

[Corresponding Value of Conditional Expression (6) (Aspherical Surface of r2 in First Group Gr1)] y = 1.3300 ... φ1 · (N′-N) · d {(X (y) -X0 (y) } / dy = 0.8054 × 10 ^-7 y = 2.6600… φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.5838 × 10 ^-6 y = 3.9900… φ1 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1717 × 10 ^-5 y = 5.3200… φ1 ・ (N'-N) ・ d {(X (y) -X0 ( y)} / dy = 0.3583 × 10 ^-5 y = 6.6500… φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.6605 × 10 ^-5 y = 7.9800… φ1・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1181 × 10 ^-4 y = 9.3100… φ1 ・ (N'-N) ・ d {(X (y)- X0 (y)} / dy = 0.2041 × 10 ^-4 y = 10.6400… φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.3283 × 10 ^-4 y = 11.9700 … Φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.5028 × 10 ^-4 y = 13.3000… φ1 ・ (N'-N) ・ d {(X (y (y ) -X0 (y)} / dy = 0.8707 × 10 ^-4

[Corresponding value of conditional expression (10) (aspherical surface of r5 in the second group Gr2)] y = 1.0900 ... φ2 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.2259×10 ^-5 y = 2.1800… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1838 × 10 ^-4 y = 3.2700… φ2・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.6366 × 10 ^-4 y = 4.3600… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1561 × 10 ^-3 y = 5.4500… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3168 × 10 ^-3 y = 6.5400… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.5701 × 10 ^-3 y = 7.6300… φ2 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.9408 × 10 ^-3 y = 8.7200… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.1450 × 10 ^-2 y = 9.8100… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2 104 × 10 ^-2 y = 10.9000… φ2 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.2870 × 10 ^-2

[Corresponding value of conditional expression (10) (aspherical surface of r8 in the second group Gr2)] y = 0.8700 ... φ2 · (N′-N) · d {(X (y) -X0 (y) } / dy = 0.1758 × 10 ^-5 y = 1.7400… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1420 × 10 ^-4 y = 2.6100… φ2 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.4884 × 10 ^-4 y = 3.4800… φ2 ・ (N'-N) ・ d {(X (y) -X0 ( y)} / dy = 0.1194 × 10 ^-3 y = 4.3500… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.2439 × 10 ^-3 y = 5.2200… φ2・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.4481 × 10 ^-3 y = 6.0900… φ2 ・ (N'-N) ・ d {(X (y)- X0 (y)} / dy = 0.7680 × 10 ^-3 y = 6.9600… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1252 × 10 ^-2 y = 7.8300 … Φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1958 × 10 ^-2 y = 8.7000… φ2 ・ (N'-N) ・ d {(X (y ( ) -X0 (y)} / dy = 0.2945 × 10 ^-2

[Corresponding Value of Conditional Expression (14) (Aspherical Surface of r13 in Third Group Gr3)] y = 0.5785 ... φ3 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.1737×10 ^-6 y = 1.1569… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1467 × 10 ^-5 y = 1.7354… φ3・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.5334 × 10 ^-5 y = 2.3138… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1367 × 10 ^-4 y = 2.8923… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2856 × 10 ^-4 y = 3.4707… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.5186 × 10 ^-4 y = 4.0492… φ3 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.8490 × 10 ^-4 y = 4.6276… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.1294 × 10 ^-3 y = 5.2061… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1911 × 10 ^-3 y = 5.7846… φ3 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.2876 × 10 ^-3

[Corresponding value of conditional expression (16) (aspherical surface of r15 in the fourth group Gr4)] y = 1.1100 ... φ4 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.2210×10 ^-6 y = 2.2200… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1417 × 10 ^-5 y = 3.3300… φ4・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4859 × 10 ^-5 y = 4.4400… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2048 × 10 ^-4 y = 5.5500… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.8460 × 10 ^-4 y = 6.6600… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2746 × 10 ^-3 y = 7.7700… φ4 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.6876 × 10 ^-3 y = 8.8800… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.1323 × 10 ^-2 y = 9.9900… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1773 × 10 ^-2 y = 11.1000… φ4 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.5842 × 10 ^-3

[Corresponding value of conditional expression (16) (aspherical surface of r16 in the fourth group Gr4)] y = 1.1800 ... φ4 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.3609×10 ^-5 y = 2.3600… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3002 × 10 ^-4 y = 3.5400… φ4・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1057 × 10 ^-3 y = 4.7200… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2553 × 10 ^-3 y = 5.9000… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4785 × 10 ^-3 y = 7.0800… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.7174 × 10 ^-3 y = 8.2600… φ4 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.8665 × 10 ^-3 y = 9.4400… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.9934 × 10 ^-3 y = 10.6200… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2156 × 10 ^-2 y = 11.8000… φ4 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.8582 × 10 ^-2

Example 10 f = 39.1 to 87.3 to 178.0 FNO = 4.12 to 7.00 to 9.50 [curvature radius] [axis upper surface spacing] [refractive index] [Abbe number] r1 31.780 d1 1.800 N1 1.84666 ν1 23.82 r2 * 24.351 d2 0.500 r3 27.548 d3 5.000 N2 1.51680 ν2 64.20 r4 451.955 d4 2.742 〜 18.742 〜 37.742 r5 * -52.414 d5 1.400 N3 1.80700 ν3 39.79 r6 13.245 d6 0.500 r7 13.812 d7 4.600 r4 * * * * * * * * * * * 1.51680 ν5 64.20 r10 ∞ d10 8.700 ~ 6.306 ~ 1.552 r11 ∞ (aperture) d11 0.500 r12 23.498 d12 1.735 N6 1.84666 ν6 23.82 r13 14.305 d13 0.300 r14 14.576 d14 4.700 N7 1.51728 ν7 69.43 r15 * -20.905 d15 0.200 r16 ∞ (iris) ) d16 23.544 ~ 10.823 ~ 2.500 r17 * -57.077 d17 4.300 N8 1.84666 ν8 23.82 r18 * -23.984 d18 3.300 r19 -14.043 d19 1.302 N9 1.74400 ν9 44.93 r20 198.656 Σd = 76.423 ~ 77.308 ~ 83.231

[0261] [aspherical coefficients] r2: ε = 1.0000 A4 = -0.10387 × 10 -5 A6 = 0.14003 × 10 -7 A8 = -0.19371 × 10 -9 A10 = 0.10911 × 10 -11 A12 = -0.22935 × 10 - ¹⁴ r5: ε = 1.0000 A4 = 0.221 11 × 10 ^-4 A6 = 0.71361 × 10 ^-7 A8 = -0.19282 × 10 ^-9 A10 = 0.12651 × 10 ^-12 A12 = -0.27882 × 10 ^-14 r8: ε = 1.0000 A4 = 0.34892 × 10 ^-4 A6 = 0.90608 × 10 ^-7 A8 = 0.21963 × 10 ^-8 A10 = -0.11066 × 10 ^-10 A12 = 0.28057 × 10 ^-14 r15: ε = 1.0000 A4 = 0.11678 × 10 ^-4 A6 = 0.47826 × 10 ^-6 A8 = -0.16743 × 10 ^-7 A10 = 0.23096 × 10 ^-9 A12 = -0.25236 × 10 ^-13 r17: ε = 1.0000 A4 = 0.15706 × 10 ^-5 A6 = -0.87296 × 10 ^-7 A8 = 0.45867 × 10 ^-8 A10 = -0.25741 × 10 ^-10 A12 = -0.81964 × 10 ^-15 r18: ε = 1.0000 A4 = -0.19052 × 10 ^-4 A6 = -0.14488 × 10 ^-6 A8 = 0.24153 × 10 ^-8 A10 = 0.75600 × 10 ^-11 A12 = -0.12536 × 10 ^-12

[Corresponding value of conditional expression (6) (aspherical surface of r2 in the first group Gr1)] y = 1.3300 ... φ1 · (N′-N) · d {(X (y) -X0 (y) } / dy = 0.6936 × 10 ^-7 y = 2.6600… φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.5334 × 10 ^-6 y = 3.9900… φ1 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1716 × 10 ^-5 y = 5.3200… φ1 ・ (N'-N) ・ d {(X (y) -X0 ( y)} / dy = 0.3938 × 10 ^-5 y = 6.6500… φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.7728 × 10 ^-5 y = 7.9800… φ1・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1401 × 10 ^-4 y = 9.3100… φ1 ・ (N'-N) ・ d {(X (y)- X0 (y)} / dy = 0.2404 × 10 ^-4 y = 10.6400… φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.3925 × 10 ^-4 y = 11.9700 … Φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.6228 × 10 ^-4 y = 13.3000… φ1 ・ (N'-N) ・ d {(X (y ( ) -X0 (y)} / dy = 0.1026 × 10 ^-3

[Corresponding value of conditional expression (10) (aspherical surface of r5 in the second group Gr2)] y = 1.0900 ... φ2 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.1836×10 ^-5 y = 2.1800… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1494 × 10 ^-4 y = 3.2700… φ2・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.5184 × 10 ^-4 y = 4.3600… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1275 × 10 ^-3 y = 5.4500… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2602 × 10 ^-3 y = 6.5400… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4710 × 10 ^-3 y = 7.6300… φ2 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.7807 × 10 ^-3 y = 8.7200… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.1200 × 10 ^-2 y = 9.8100… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1707 × 10 ^-2 y = 10.9000… φ2 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.2207 × 10 ^-2

[Corresponding value of conditional expression (10) (aspherical surface of r8 in the second group Gr2)] y = 0.8700 ... φ2 · (N′-N) · d {(X (y) -X0 (y) } / dy = 0.1586 × 10 ^-5 y = 1.7400… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1282 × 10 ^-4 y = 2.6100… φ2 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.4413 × 10 ^-4 y = 3.4800… φ2 ・ (N'-N) ・ d {(X (y) -X0 ( y)} / dy = 0.1081 × 10 ^-3 y = 4.3500… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.2220 × 10 ^-3 y = 5.2200… φ2・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.4105 × 10 ^-3 y = 6.0900… φ2 ・ (N'-N) ・ d {(X (y)- X0 (y)} / dy = 0.7078 × 10 ^-3 y = 6.9600… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1155 × 10 ^-2 y = 7.8300 … Φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1788 × 10 ^-2 y = 8.7000… φ2 ・ (N'-N) ・ d {(X (y (y ) -X0 (y)} / dy = 0.2597 × 10 ^-2

[Corresponding Value of Conditional Expression (14) (Aspherical Surface of r15 in Third Group Gr3)] y = 0.5755 ... φ3 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.1387×10 ^-6 y = 1.1510… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1188 × 10 ^-5 y = 1.7265… φ3・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4402 × 10 ^-5 y = 2.3020… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1150 × 10 ^-4 y = 2.8775… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2445 × 10 ^-4 y = 3.4530… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4505 × 10 ^-4 y = 4.0285… φ3 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.7469 × 10 ^-4 y = 4.6040… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.1152 × 10 ^-3 y = 5.1795… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1723 × 10 ^-3 y = 5.7550… φ3 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.2629 × 10 ^-3

[Corresponding Value of Conditional Expression (16) (Aspherical Surface of r17 in Fourth Group Gr4)] y = 1.1100 ... φ4 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.8669×10 ^-7 y = 2.2200… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4639 × 10 ^-6 y = 3.3300… φ4・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2378 × 10 ^-5 y = 4.4400… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1729 × 10 ^-4 y = 5.5500… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.8596 × 10 ^-4 y = 6.6600… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2949 × 10 ^-3 y = 7.7700… φ4 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.7572 × 10 ^-3 y = 8.8800… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.1495 × 10 ^-2 y = 9.9900… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2123 × 10 ^-2 y = 11.1000… φ4 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.1195 × 10 ^-2

[Corresponding Value of Conditional Expression (16) (Aspherical Surface of r18 in Fourth Group Gr4)] y = 1.1800 ... φ4 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.3596×10 ^-5 y = 2.3600… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2985 × 10 ^-4 y = 3.5400… φ4・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1047 × 10 ^-3 y = 4.7200… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2509 × 10 ^-3 y = 5.9000… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4644 × 10 ^-3 y = 7.0800… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.6818 × 10 ^-3 y = 8.2600… φ4 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.7985 × 10 ^-3 y = 9.4400… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.9172 × 10 ^-3 y = 10.6200… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2240 × 10 ^-2 y = 11.8000… φ4 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.9419 × 10 ^-2

Example 11 f = 39.1 to 87.3 to 178.0 FNO = 4.12 to 7.00 to 9.50 [curvature radius] [axis upper surface spacing] [refractive index] [Abbe number] r1 32.200 d1 1.800 N1 1.84666 ν1 23.82 r2 * 24.809 d2 0.500 ~ 0.350 ~ 0.300 r3 27.548 d3 5.000 N2 1.51680 ν2 64.20 r4 423.969 d4 2.742 ~ 18.742 ~ 37.742 r5 * -52.344 d5 1.400 N3 1.80700 ν3 39.79 r6 13.245 d6 0.500 r7 13.812 d7 4.600 N4 1.78472 * 600 24.75 r8. 6.588 to 2.643 r9 ∞ d9 11.000 N5 1.51680 ν5 64.20 r10 ∞ d10 0.400 r11 ∞ (aperture) d11 0.700 r12 23.200 d12 1.735 N6 1.84666 ν6 23.82 r13 14.228 d13 0.300 r14 14.509 d14 4.700 N7 1.51728 ν7 69.43 r15 * 00-21.167 (Luminous flux control plate) d16 23.562 ~ 10.932 ~ 2.500 r17 * -53.948 d17 4.300 N8 1.84666 ν8 23.82 r18 * -24.109 d18 3.300 r19 -14.105 d19 1.302 N9 1.74400 ν9 44.93 r20 227.438 Σd = 76.641 ~ 77.85 ~ 84.423

[0269] [aspherical coefficients] r2: ε = 1.0000 A4 = -0.41997 × 10 -6 A6 = -0.42211 × 10 -8 A8 = 0.39331 × 10 -10 A10 = -0.21650 × 10 -12 A12 = 0.35858 × 10 - ¹⁵ r5: ε = 1.0000 A4 = 0.20297 × 10 ^-4 A6 = 0.550 42 × 10 ^-7 A8 = 0.47109 × 10 ^-11 A10 = -0.12667 × 10 ^-11 A12 = -0.27882 × 10 ^-14 r8: ε = 1.0000 A4 = 0.32154 × 10 ^-4 A6 = 0.10919 × 10 ^-6 A8 = 0.23480 × 10 ^-8 A10 = -0.12936 × 10 ^-10 A12 = -0.439 40 × 10 ^-13 r15: ε = 1.0000 A4 = 0.97282 × 10 ^-5 A6 = 0.49559 X 10 ^-6 A8 = -0.16909 x 10 ^-7 A10 = 0.22867 x 10 ^-9 A12 = -0.40309 x 10 ^-13 r17: ε = 1.0000 A4 = 0.11634 x 10 ^-5 A6 = -0.86594 x 10 ^-7 A8 = 0.46093 × 10 ^-8 A10 = -0.24384 × 10 ^-10 A12 = -0.35299 × 10 ^-14 r18: ε = 1.0000 A4 = -0.19011 × 10 ^-4 A6 = -0.14546 × 10 ^-6 A8 = 0.25440 × 10 ^-8 A10 = 0.68368 × 10 ^-11 A12 = -0.12457 × 10 ^-12

[Corresponding value of conditional expression (6a) (aspherical surface of r2 in the first group Gr1)] y = 1.3300 [W] ... φ1,2 · (N′-N) · d {(X (y ( ) -X0 (y)} / dy = 0.3516 × 10 ^-7 … [T]… φ1,2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.3507 × 10 ^-7 y = 2.6600… [W]… φ1,2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.3009 × 10 ^-6 … [T]… φ1,2・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.3002 × 10 ^-6 y = 3.9900… [W]… φ1,2 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = 0.1108 × 10 ^-5 … [T]… φ1,2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1105 × 10 ^-5 y = 5.3200… [W]… φ1,2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.2860 × 10 ^-5 … [T] … Φ1,2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.2853 × 10 ^-5 y = 6.6500… [W]… φ1,2 ・ (N'-N ) ・ D {(X (y) -X0 (y)} / dy = 0.6005 × 10 ^-5 … [T]… φ1,2 ・ (N'-N) ・ d {(X (y) -X0 (y )} / dy = 0.5991 × 10 ^-5 y = 7.9800… [W]… φ1,2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1104 × 10 ^-4 … [T]… φ1,2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1101 × 10 ^-4 y = 9.3100… [W]… φ1,2 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1874 × 10 ^-4 … [T]… φ1,2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1869 × 10 ^-4 y = 1 0.6400… [W]… φ1,2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.3080 × 10 ^-4 … [T]… φ1,2 ・ (N ' -N) ・ d {(X (y) -X0 (y)} / dy = 0.3072 × 10 ^-4 y = 11.9700… [W]… φ1,2 ・ (N'-N) ・ d {(X (y ( ) -X0 (y)} / dy = 0.5061 × 10 ^-4 … [T]… φ1,2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.5049 × 10 ^-4 y = 13.3000… [W]… φ1,2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.8331 × 10 ^-4 … [T]… φ1,2・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.8311 × 10 ^-4

[Corresponding Value of Conditional Expression (10a) (Aspherical Surface of r5 in Third Group Gr3)] y = 1.0900 ... φ3 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.2072×10 ^-5 y = 2.1800… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1681 × 10 ^-4 y = 3.2700… φ3・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.5808 × 10 ^-4 y = 4.3600… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1420 × 10 ^-3 y = 5.4500… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2878 × 10 ^-3 y = 6.5400… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.5172 × 10 ^-3 y = 7.6300… φ3 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.8507 × 10 ^-3 y = 8.7200… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.1298 × 10 ^-2 y = 9.8100… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1836 × 10 ^-2 y = 10.9000… φ3 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.2363 × 10 ^-2

[Corresponding value of conditional expression (10a) (aspherical surface of r8 in the third group Gr3)] y = 0.8700 ... φ3 · (N′-N) · d {(X (y) -X0 (y) } / dy = 0.1621 × 10 ^-5 y = 1.7400… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1314 × 10 ^-4 y = 2.6100… φ3 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.4540 × 10 ^-4 y = 3.4800… φ3 ・ (N'-N) ・ d {(X (y) -X0 ( y)} / dy = 0.1118 × 10 ^-3 y = 4.3500… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.2304 × 10 ^-3 y = 5.2200… φ3・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.4272 × 10 ^-3 y = 6.0900… φ3 ・ (N'-N) ・ d {(X (y)- X0 (y)} / dy = 0.7372 × 10 ^-3 y = 6.9600… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1201 × 10 ^-2 y = 7.8300 … Φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1850 × 10 ^-2 y = 8.7000… φ3 ・ (N'-N) ・ d {(X (y (y ) -X0 (y)} / dy = 0.2667 × 10 ^-2

[Corresponding Value of Conditional Expression (14a) (Aspherical Surface of r15 in Fourth Group Gr4)] y = 0.5755 ... φ4 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.1431×10 ^-6 y = 1.1510… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1224 × 10 ^-5 y = 1.7265… φ4・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4519 × 10 ^-5 y = 2.3020… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1176 × 10 ^-4 y = 2.8775… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2492 × 10 ^-4 y = 3.4530… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4574 × 10 ^-4 y = 4.0285… φ4 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.7544 × 10 ^-4 y = 4.6040… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.1155 × 10 ^-3 y = 5.1795… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1707 × 10 ^-3 y = 5.7550… φ4 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.2566 × 10 ^-3

[Corresponding Value of Conditional Expression (16a) (Aspherical Surface of r17 in Fifth Group Gr5)] y = 1.1100 ... φ5 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.1583×10 ^-6 y = 2.2200… φ5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.9213 × 10 ^-6 y = 3.3300… φ5・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3250 × 10 ^-5 y = 4.4400… φ5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1710 × 10 ^-4 y = 5.5500… φ5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.8012 × 10 ^-4 y = 6.6600… φ5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2749 × 10 ^-3 y = 7.7700… φ5 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.7136 × 10 ^-3 y = 8.8800… φ5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.1430 × 10 ^-2 y = 9.9900… φ5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2085 × 10 ^-2 y = 11.1000… φ5 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.1346 × 10 ^-2

[Corresponding Value of Conditional Expression (16a) (Aspherical Surface of r18 in Fifth Group Gr5)] y = 1.1800 ... φ5 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.3610×10 ^-5 y = 2.3600… φ5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3002 × 10 ^-4 y = 3.5400… φ5・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1056 × 10 ^-3 y = 4.7200… φ5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2543 × 10 ^-3 y = 5.9000… φ5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4737 × 10 ^-3 y = 7.0800… φ5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.7016 × 10 ^-3 y = 8.2600… φ5 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.8262 × 10 ^-3 y = 9.4400… φ5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.9116 × 10 ^-3 y = 10.6200… φ5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2024 × 10 ^-2 y = 11.8000… φ5 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.8430 × 10 ^-2

Example 12 f = 39.1 to 87.3 to 178.0 FNO = 4.12 to 7.00 to 9.50 [curvature radius] [axial upper surface spacing] [refractive index] [Abbe number] r1 31.001 d1 1.800 N1 1.84666 ν1 23.82 r2 * 23.751 d2 0.600 r3 27.548 d3 5.000 N2 1.51680 ν2 64.20 r4 531.019 d4 2.742 to 18.842 to 35.942 r5 * -59.876 d5 1.400 N3 1.80700 ν3 39.79 r6 13.245 d6 0.600 to 0.500 to 0.400 r7 13.812 d7 4.600 N4 1.78472 ν4 25.75 r 6.415 to 0.343 r9 ∞ d9 11.000 N5 1.51680 ν5 64.20 r10 ∞ d10 0.500 r11 ∞ (diaphragm) d11 0.500 r12 23.160 d12 1.735 N6 1.84666 ν6 23.82 r13 14.006 d13 0.300 r14 14.462 d14 4.700 N7 1.51728 ν7 69.43 r15 0.2 -20.569 d (Luminous flux control plate) d16 22.402 to 10.110 to 2.500 r17 * -72.545 d17 4.500 N8 1.84666 ν8 23.82 r18 * -23.840 d18 3.300 r19 -13.713 d19 1.302 N9 1.74400 ν9 44.93 r20 119.969 Σd = 76.181 to 77.304 to 80.623

[0277] [aspherical coefficients] r2: ε = 1.0000 A4 = -0.12006 × 10 -5 A6 = 0.10019 × 10 -7 A8 = -0.15432 × 10 -9 A10 = 0.87068 × 10 -12 A12 = -0.18822 × 10 - ¹⁴ r5: ε = 1.0000 A4 = 0.11981 × 10 ^-4 A6 = 0.95862 × 10 ^-7 A8 = -0.35274 × 10 ^-9 A10 = 0.40000 × 10 ^-12 A12 = -0.27882 × 10 ^-14 r8: ε = 1.0000 A4 = 0.26958 × 10 ^-4 A6 = 0.12717 × 10 ^-6 A8 = 0.21752 × 10 ^-8 A10 = -0.12868 × 10 ^-10 A12 = -0.75334 × 10 ^-14 r15: ε = 1.0000 A4 = 0.11975 × 10 ^-4 A6 = 0.44166 X 10 ^-6 A8 = -0.16895 x 10 ^-7 A10 = 0.23014 x 10 ^-9 A12 = -0.30346 x 10 ^-13 r17: ε = 1.0000 A4 = 0.43308 x 10 ^-5 A6 = -0.43065 x 10 ^-7 A8 = 0.46900 × 10 ^-8 A10 = -0.28395 × 10 ^-10 A12 = 0.27650 × 10 ^-14 r18: ε = 1.0000 A4 = -0.21928 × 10 ^-4 A6 = -0.10845 × 10 ^-6 A8 = 0.27548 × 10 ^-8 A10 = 0.33400 × 10 ^-11 A12 = -0.13394 × 10 ^-12

[Corresponding value of conditional expression (6) (aspherical surface of r2 in the first group Gr1)] y = 1.3300 ... φ1 · (N′-N) · d {(X (y) -X0 (y) } / dy = 0.9399 × 10 ^-7 y = 2.6600… φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.7097 × 10 ^-6 y = 3.9900… φ1 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.2227 × 10 ^-5 y = 5.3200… φ1 ・ (N'-N) ・ d {(X (y) -X0 ( y)} / dy = 0.5000 × 10 ^-5 y = 6.6500… φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.9728 × 10 ^-5 y = 7.9800… φ1・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1773 × 10 ^-4 y = 9.3100… φ1 ・ (N'-N) ・ d {(X (y)- X0 (y)} / dy = 0.3068 × 10 ^-4 y = 10.6400 ... φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.5014 × 10 ^-4 y = 11.9700 … Φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.7935 × 10 ^-4 y = 13.3000… φ1 ・ (N'-N) ・ d {(X (y (y ) -X0 (y)} / dy = 0.1344 × 10 ^-3

[Corresponding Value of Conditional Expression (10b) (Aspherical Surface of r5 in Second Group Gr2)] y = 1.0900 ... [W] ... φ2,3 · (N′-N) · d {(X (y ) -X0 (y)} / dy = -0.1234 × 10 ^-5 … [T]… φ2,3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1272 × 10 ^-5 y = 2.1800… [W]… φ2,3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1028 × 10 ^-4 … [T]… φ2,3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1059 × 10 ^-4 y = 3.2700… [W]… φ2,3 ・ (N'-N ) ・ D {(X (y) -X0 (y)} / dy = -0.3686 × 10 ^-4 … [T]… φ2,3 ・ (N'-N) ・ d {(X (y) -X0 ( y)} / dy = -0.3799 × 10 ^-4 y = 4.3600… [W]… φ2,3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.9404 × 10 ^-4 … [T]… φ2,3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.9692 × 10 ^-4 y = 5.4500… [W]… φ2 , 3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1987 × 10 ^-3 … [T]… φ2,3 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.2048 × 10 ^-3 y = 6.5400… [W]… φ2,3 ・ (N'-N) ・ d {(X (y) -X0 (y )} / dy = -0.3706 × 10 ^-3 … [T]… φ2,3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3820 × 10 ^-3 y = 7.6300… [W]… φ2,3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.6293 × 10 ^-3 … [T]… φ2,3 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.6486 × 10 ^-3 y = 8.7200… [W]… φ2,3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.9880 × 10 ^-3 … [T]… φ2,3 ・ (N '-N) ・ d {(X (y) -X0 (y)} / dy = -0.1018 × 10 ^-2 y = 9.8100… [W]… φ2,3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1441 × 10 ^-2 … [T]… φ2,3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1485 × 10 ^-2 y = 10.9000… [W]… φ2,3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1942 × 10 ^-2 … [T ]… Φ2,3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2001 × 10 ^-2

[Corresponding value of conditional expression (10b) (aspherical surface of r8 in the third group Gr3)] y = 0.8700 ... [W] ... φ2,3 · (N′-N) · d {(X (y ) -X0 (y)} / dy = 0.1361 × 10 ^-5 … [T]… φ2,3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1403 × 10 ^-5 y = 1.7400… [W]… φ2,3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1108 × 10 ^-4 … [T]… φ2,3・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1142 × 10 ^-4 y = 2.6100… [W]… φ2,3 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = 0.3858 × 10 ^-4 … [T]… φ2,3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.3976 × 10 ^-4 y = 3.4800… [W]… φ2,3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.9595 × 10 ^-4 … [T] … Φ2,3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.9889 × 10 ^-4 y = 4.3500… [W]… φ2,3 ・ (N'-N ) ・ D {(X (y) -X0 (y)} / dy = 0.2003 × 10 ^-3 … [T]… φ2,3 ・ (N'-N) ・ d {(X (y) -X0 (y )} / dy = 0.2064 × 10 ^-3 y = 5.2200… [W]… φ2,3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.3767 × 10 ^-3 … [T]… φ2,3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.3883 × 10 ^-3 y = 6.0900… [W]… φ2,3 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.6604 × 10 ^-3 … [T]… φ2,3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.6806 × 10 ^-3 y = 6.9600… [W]… φ2,3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1096 × 10 ^-2 … [T]… φ2,3 ・ (N ' -N) ・ d {(X (y) -X0 (y)} / dy = 0.1130 × 10 ^-2 y = 7.8300… [W]… φ2,3 ・ (N'-N) ・ d {(X (y ( ) -X0 (y)} / dy = 0.1731 × 10 ^-2 … [T]… φ2,3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1784 × 10 ^-2 y = 8.7000… [W]… φ2,3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.2593 × 10 ^-2 … [T]… φ2,3・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.2673 × 10 ^-2

[Corresponding Value of Conditional Expression (14a) (Aspherical Surface of r15 in Fourth Group Gr4)] y = 0.5948 ... φ4 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.1934×10 ^-6 y = 1.1895… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1628 × 10 ^-5 y = 1.7843… φ4・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.5887 × 10 ^-5 y = 2.3790… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1495 × 10 ^-4 y = 2.9738… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3088 × 10 ^-4 y = 3.5685… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.5517 × 10 ^-4 y = 4.1633… φ4 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.8856 × 10 ^-4 y = 4.7581… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.1323 × 10 ^-3 y = 5.3528… φ4 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1928 × 10 ^-3 y = 5.9476… φ4 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.2924 × 10 ^-3

[Corresponding value of conditional expression (16a) (aspherical surface of r17 in fifth group Gr5)] y = 1.1000 ... φ5 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.6247×10 ^-6 y = 2.2000… φ5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4955 × 10 ^-5 y = 3.3000… φ5・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1838 × 10 ^-4 y = 4.4000… φ5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.5700 × 10 ^-4 y = 5.5000… φ5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1648 × 10 ^-3 y = 6.6000… φ5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4263 × 10 ^-3 y = 7.7000… φ5 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.9434 × 10 ^-3 y = 8.8000… φ5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.1718 × 10 ^-2 y = 9.9000… φ5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2352 × 10 ^-2 y = 11.0000… φ5 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.1445 × 10 ^-2

[Corresponding value of conditional expression (16a) (aspherical surface of r18 in the fifth group Gr5)] y = 1.1800 ... φ5 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.4003×10 ^-5 y = 2.3600… φ5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3277 × 10 ^-4 y = 3.5400… φ5・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1127 × 10 ^-3 y = 4.7200… φ5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2641 × 10 ^-3 y = 5.9000… φ5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4780 × 10 ^-3 y = 7.0800… φ5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.6920 × 10 ^-3 y = 8.2600… φ5 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.8330 × 10 ^-3 y = 9.4400… φ5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.1120 × 10 ^-2 y = 10.6200… φ5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3061 × 10 ^-2 y = 11.8000… φ5 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.1198 × 10 ^-1

Example 13 f = 39.1 to 87.3 to 178.0 FNO = 4.12 to 7.00 to 9.50 [curvature radius] [axis upper surface spacing] [refractive index] [Abbe number] r1 33.415 d1 1.800 N1 1.84666 ν1 23.82 r2 * 25.158 d2 0.500 r3 27.548 d3 5.000 N2 1.51680 ν2 64.20 r4 578.590 d4 2.742 ~ 18.742 ~ 37.742 r5 * -55.376 d5 1.400 N3 1.80700 ν3 39.79 r6 13.245 d6 0.500 r7 13.812 d7 4.600 r4 * * * * * * * * * * * * ∞ d9 11.000 N5 1.51680 ν5 64.20 r10 ∞ d10 0.400 r11 ∞ (aperture) d11 0.500 ~ 0.300 ~ 0.250 r12 23.437 d12 1.735 N6 1.84666 ν6 23.82 r13 14.481 d13 0.300 ~ 0.500 ~ 0.550 r14 14.504 d14 4.700 N7 1.51728 ν7 69.43 r d15 0.200 r16 ∞ (Luminous flux control plate) d16 23.601 to 10.686 to 2.500 r17 * -57.319 d17 4.300 N8 1.84666 ν8 23.82 r18 * -23.866 d18 3.300 r19 -14.152 d19 1.302 N9 1.74400 ν9 44.93 r20 148.087 Σd = 76.480 to 77.216

[0285] [aspherical coefficients] r2: ε = 1.0000 A4 = -0.66593 × 10 -6 A6 = 0.53240 × 10 -8 A8 = -0.76318 × 10 -10 A10 = 0.40487 × 10 -12 A12 = -0.83815 × 10 - ¹⁵ r5: ε = 1.0000 A4 = 0.16315 × 10 ^-4 A6 = 0.54717 × 10 ^-7 A8 = -0.37022 × 10 ^-9 A10 = 0.65664 × 10 ^-12 A12 = -0.27882 × 10 ^-14 r8: ε = 1.0000 A4 = 0.28423 × 10 ^-4 A6 = 0.72185 × 10 ^-7 A8 = 0.17395 × 10 ^-8 A10 = -0.14348 × 10 ^-10 A12 = 0.70147 × 10 ^-14 r15: ε = 1.0000 A4 = 0.14476 × 10 ^-4 A6 = 0.50487 × 10 ^-6 A8 = -0.16441 × 10 ^-7 A10 = 0.23260 × 10 ^-9 A12 = -0.17869 × 10 ^-13 r17: ε = 1.0000 A4 = 0.16063 × 10 ^-5 A6 = -0.45520 × 10 ^-7 A8 = 0.49220 × 10 ^-8 A10 = -0.27445 × 10 ^-10 A12 = -0.39059 × 10 ^-13 r18: ε = 1.0000 A4 = -0.17364 × 10 ^-4 A6 = -0.32086 × 10 ^-7 A8 = 0.27130 × 10 ^-8 A10 =- 0.15467 × 10 ^-11 A12 = -0.12397 × 10 ^-12

[Corresponding value of conditional expression (6) (aspherical surface of r2 in the first group Gr1)] y = 1.3300 ... φ1 · (N′-N) · d {(X (y) -X0 (y) } / dy = 0.5218 × 10 ^-7 y = 2.6600… φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.3947 × 10 ^-6 y = 3.9900… φ1 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1239 × 10 ^-5 y = 5.3200… φ1 ・ (N'-N) ・ d {(X (y) -X0 ( y)} / dy = 0.2769 × 10 ^-5 y = 6.6500… φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.5333 × 10 ^-5 y = 7.9800… φ1・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.9612 × 10 ^-5 y = 9.3100… φ1 ・ (N'-N) ・ d {(X (y)- X0 (y)} / dy = 0.1655 × 10 ^-4 y = 10.6400 ... φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.2713 × 10 ^-4 y = 11.9700 … Φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.4302 × 10 ^-4 y = 13.3000… φ1 ・ (N'-N) ・ d {(X (y ( ) -X0 (y)} / dy = 0.7110 × 10 ^-4

[Corresponding value of conditional expression (10) (aspherical surface of r5 in the second group Gr2)] y = 1.0900 ... φ2 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.1667×10 ^-5 y = 2.1800… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1356 × 10 ^-4 y = 3.2700… φ2・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4693 × 10 ^-4 y = 4.3600… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1145 × 10 ^-3 y = 5.4500… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2303 × 10 ^-3 y = 6.5400… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4075 × 10 ^-3 y = 7.6300… φ2 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.6554 × 10 ^-3 y = 8.7200… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.9735 × 10 ^-3 y = 9.8100… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1340 × 10 ^-2 y = 10.9000… φ2 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.1696 × 10 ^-2

[Corresponding value of conditional expression (10) (aspherical surface of r8 in the second group Gr2)] y = 0.8700 ... φ2 · (N′-N) · d {(X (y) -X0 (y) } / dy = 0.1432 × 10 ^-5 y = 1.7400… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1157 × 10 ^-4 y = 2.6100… φ2 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.3975 × 10 ^-4 y = 3.4800… φ2 ・ (N'-N) ・ d {(X (y) -X0 ( y)} / dy = 0.9702 × 10 ^-4 y = 4.3500… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1976 × 10 ^-3 y = 5.2200… φ2・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.3607 × 10 ^-3 y = 6.0900… φ2 ・ (N'-N) ・ d {(X (y)- X0 (y)} / dy = 0.6105 × 10 ^-3 y = 6.9600… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.9739 × 10 ^-3 y = 7.8300 … Φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1471 × 10 ^-2 y = 8.7000… φ2 ・ (N'-N) ・ d {(X (y (y ) -X0 (y)} / dy = 0.2094 × 10 ^-2

[Corresponding Value of Conditional Expression (14b) (Aspherical Surface of r15 in Fifth Group Gr5)] y = 0.5876 ... [W] ... φ4,5 · (N′-N) · d {(X (y ( ) -X0 (y)} / dy = -0.2252 × 10 ^-6 … [T]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2270 × 10 ^-6 y = 1.1753… [W]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1890 × 10 ^-5 … [T]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1905 × 10 ^-5 y = 1.7629… [W]… φ4,5 ・ (N'-N ) ・ D {(X (y) -X0 (y)} / dy = -0.6821 × 10 ^-5 … [T]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 ( y)} / dy = -0.6875 × 10 ^-5 y = 2.3506… [W]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1737 × 10 ^-4 … [T]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1750 × 10 ^-4 y = 2.9382… [W]… φ4 , 5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3618 × 10 ^-4 … [T]… φ4,5 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.3647 × 10 ^-4 y = 3.5258… [W]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 (y )} / dy = -0.6578 × 10 ^-4 … [T]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.6630 × 10 ^-4 y = 4.1135… [W]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1085 × 10 ^-3 … [T]… φ4,5 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1093 × 10 ^-3 y = 4.7011… [W]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1676 × 10 ^-3 … [T]… φ4,5 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1689 × 10 ^-3 y = 5.2887… [W]… φ4,5 ・ (N'-N) ・ d {( X (y) -X0 (y)} / dy = -0.2521 × 10 ^-3 … [T]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2541 × 10 ^-3 y = 5.8764… [W]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3865 × 10 ^-3 … [ T]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3895 × 10 ^-3

[Corresponding value of conditional expression (16b) (aspherical surface of r17 in the sixth group Gr6)] y = 1.1100 ... φ6 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.2391×10 ^-6 y = 2.2200… φ6 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1868 × 10 ^-5 y = 3.3300… φ6・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.8252 × 10 ^-5 y = 4.4400… φ6 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3528 × 10 ^-4 y = 5.5500… φ6 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1309 × 10 ^-3 y = 6.6600… φ6 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3866 × 10 ^-3 y = 7.7700… φ6 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.8917 × 10 ^-3 y = 8.8800… φ6 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.1534 × 10 ^-2 y = 9.9900… φ6 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1476 × 10 ^-2 y = 11.1000… φ6 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = 0.1977 × 10 ^-2

[Corresponding Value of Conditional Expression (16b) (Aspherical Surface of r18 in Sixth Group Gr6)] y = 1.1800 ... φ6 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.3256×10 ^-5 y = 2.3600… φ6 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2612 × 10 ^-4 y = 3.5400… φ6・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.8646 × 10 ^-4 y = 4.7200… φ6 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1899 × 10 ^-3 y = 5.9000… φ6 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3078 × 10 ^-3 y = 7.0800… φ6 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3625 × 10 ^-3 y = 8.2600… φ6 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.2998 × 10 ^-3 y = 9.4400… φ6 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.4550 × 10 ^-3 y = 10.6200… φ6 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2657 × 10 ^-2 y = 11.8000… φ6 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.1292 × 10 ^-1

Example 14 f = 39.1 to 87.3 to 178.0 FNO = 4.12 to 7.00 to 9.50 [curvature radius] [axis upper surface spacing] [refractive index] [Abbe number] r1 33.610 d1 2.000 N1 1.84666 ν1 23.82 r2 * 25.100 d2 0.400 r3 27.548 d3 5.000 N2 1.51680 ν2 64.20 r4 753.614 d4 2.742 ~ 16.742 ~ 33.742 r5 * -52.743 d5 1.400 N3 1.80700 ν3 39.79 r6 13.245 d6 0.500 r7 13.812 d7 4.800 N4 1.78472 ν4 25.75 r8100 ~ 92.971 d ∞ d9 11.000 N5 1.51680 ν5 64.20 r10 ∞ d10 0.400 r11 ∞ (aperture) d11 0.500 r12 22.313 d12 1.000 N6 1.84666 ν6 23.82 r13 14.288 d13 0.300 r14 14.606 d14 4.700 N7 1.51728 ν7 69.43 r15 * -22.509 d15 0.200 r16 plate ) d16 24.47 to 10.857 to 2.500 r17 * -54.612 d17 3.800 N8 1.84666 ν8 23.82 r18 * -25.402 d18 3.200 to 3.700 to 4.100 r19 -14.306 d19 1.302 N9 1.74400 ν9 44.93 r20 343.832 Σd = 76.814 to 75.599 to 78.124

[0293] [aspherical coefficients] r2: ε = 1.0000 A4 = -0.54576 × 10 -6 A6 = 0.36121 × 10 -8 A8 = -0.54180 × 10 -10 A10 = 0.28687 × 10 -12 A12 = -0.61819 × 10 - ¹⁵ r5: ε = 1.0000 A4 = 0.15595 × 10 ^-4 A6 = 0.10752 × 10 ^-6 A8 = -0.62298 × 10 ^-9 A10 = 0.13699 × 10 ^-11 A12 = -0.27882 × 10 ^-14 r8: ε = 1.0000 A4 = 0.26334 × 10 ^-4 A6 = 0.16845 × 10 ^-6 A8 = 0.14229 × 10 ^-8 A10 = -0.16403 × 10 ^-10 A12 = 0.40194 × 10 ^-13 r15: ε = 1.0000 A4 = 0.89173 × 10 ^-5 A6 = 0.49406 × 10 ^-6 A8 = -0.17305 × 10 ^-7 A10 = 0.22222 × 10 ^-9 A12 = -0.91183 × 10 ^-13 r17: ε = 1.0000 A4 = 0.16014 × 10 ^-5 A6 = -0.14312 × 10 ^-6 A8 = 0.46824 × 10 ^-8 A10 = -0.25385 × 10 ^-10 A12 = -0.28051 × 10 ^-13 r18: ε = 1.0000 A4 = -0.16857 × 10 ^-4 A6 = -0.12711 × 10 ^-6 A8 = 0.21265 × 10 ^-8 A10 = 0.41439 × 10 ^-11 A12 = -0.12654 × 10 ^-12

[Corresponding value of conditional expression (6) (aspherical surface of r2 in the first group Gr1)] y = 1.3300 ... φ1 · (N′-N) · d {(X (y) -X0 (y) } / dy = 0.4292 × 10 ^-7 y = 2.6600… φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.3280 × 10 ^-6 y = 3.9900… φ1 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1046 × 10 ^-5 y = 5.3200… φ1 ・ (N'-N) ・ d {(X (y) -X0 ( y)} / dy = 0.2376 × 10 ^-5 y = 6.6500… φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.4631 × 10 ^-5 y = 7.9800… φ1・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.8388 × 10 ^-5 y = 9.3100… φ1 ・ (N'-N) ・ d {(X (y)- X0 (y)} / dy = 0.1448 × 10 ^-4 y = 10.6400 ... φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.2397 × 10 ^-4 y = 11.9700 … Φ1 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.3884 × 10 ^-4 y = 13.3000… φ1 ・ (N'-N) ・ d {(X (y (y ) -X0 (y)} / dy = 0.6593 × 10 ^-4

[Corresponding value of conditional expression (10) (aspherical surface of r5 in the second group Gr2)] y = 1.0900 ... φ2 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.1603×10 ^-5 y = 2.1800… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1327 × 10 ^-4 y = 3.2700… φ2・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4712 × 10 ^-4 y = 4.3600… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1185 × 10 ^-3 y = 5.4500… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2460 × 10 ^-3 y = 6.5400… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4488 × 10 ^-3 y = 7.6300… φ2 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.7436 × 10 ^-3 y = 8.7200… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.1138 × 10 ^-2 y = 9.8100… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1623 × 10 ^-2 y = 10.9000… φ2 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.2158 × 10 ^-2

[Corresponding value of conditional expression (10) (aspherical surface of r8 in the second group Gr2)] y = 0.8700 ... φ2 · (N′-N) · d {(X (y) -X0 (y) } / dy = 0.1332 × 10 ^-5 y = 1.7400… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1090 × 10 ^-4 y = 2.6100… φ2 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.3821 × 10 ^-4 y = 3.4800… φ2 ・ (N'-N) ・ d {(X (y) -X0 ( y)} / dy = 0.9560 × 10 ^-4 y = 4.3500… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.2001 × 10 ^-3 y = 5.2200… φ2・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.3750 × 10 ^-3 y = 6.0900… φ2 ・ (N'-N) ・ d {(X (y)- X0 (y)} / dy = 0.6505 × 10 ^-3 y = 6.9600… φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1061 × 10 ^-2 y = 7.8300 … Φ2 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.1640 × 10 ^-2 y = 8.7000… φ2 ・ (N'-N) ・ d {(X (y (y ) -X0 (y)} / dy = 0.2408 × 10 ^-2

[Corresponding Value of Conditional Expression (14) (Aspherical Surface of r15 in Third Group Gr3)] y = 0.6279 ... φ3 · (N′-N) · d {(X (y) -X0 (y) } /dy=-0.1716×10 ^-6 y = 1.2558… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1492 × 10 ^-5 y = 1.8837… φ3・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.5606 × 10 ^-5 y = 2.5116… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1474 × 10 ^-4 y = 3.1395… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3120 × 10 ^-4 y = 3.7674… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.5655 × 10 ^-4 y = 4.3953… φ3 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.9135 × 10 ^-4 y = 5.0232… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy =- 0.1374 × 10 ^-3 y = 5.6511… φ3 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2052 × 10 ^-3 y = 6.2790… φ3 ・ (N'- N) ・ d {(X (y) -X0 (y)} / dy = -0.3304 × 10 ^-3

[Corresponding value of conditional expression (16c) (aspherical surface of r17 in the fourth group Gr4)] y = 1.1100 ... [W] ... φ4,5 · (N′-N) · d {(X (y ( ) -X0 (y)} / dy = -0.2114 × 10 ^-6 … [T]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2056 × 10 ^-6 y = 2.2200… [W]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.9555 × 10 ^-6 … [T]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.9294 × 10 ^-6 y = 3.3300… [W]… φ4,5 ・ (N'-N ) ・ D {(X (y) -X0 (y)} / dy = -0.1203 × 10 ^-5 … [T]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 ( y)} / dy = -0.1170 × 10 ^-5 y = 4.4400… [W]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.5107 × 10 ^-5 … [T]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4968 × 10 ^-5 y = 5.5500… [W]… φ4 , 5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3802 × 10 ^-4 … [T]… φ4,5 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.3698 × 10 ^-4 y = 6.6600… [W]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 (y )} / dy = -0.1568 × 10 ^-3 … [T]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1526 × 10 ^-3 y = 7.7700… [W]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4128 × 10 ^-3 … [T]… φ4,5 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4016 × 10 ^-3 y = 8.8800… [W]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.6837 × 10 ^-3 … [T]… φ4,5 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4016 × 10 ^-3 y = 9.9900… [W]… φ4,5 ・ (N'-N) ・ d {( X (y) -X0 (y)} / dy = -0.2305 × 10 ^-3 … [T]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2242 × 10 ^-3 y = 11.1000… [W]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.3251 × 10 ^-2 … [T ]… Φ4,5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = 0.3163 × 10 ^-2

[Corresponding value of conditional expression (16c) (aspherical surface of r18 in the fourth group Gr4)] y = 1.1800 ... [W] ... φ4,5 · (N′-N) · d {(X (y ( ) -X0 (y)} / dy = -0.3217 × 10 ^-5 … [T]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.3129 × 10 ^-5 y = 2.3600… [W]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2675 × 10 ^-4 … [T]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2602 × 10 ^-4 y = 3.5400… [W]… φ4,5 ・ (N'-N ) ・ D {(X (y) -X0 (y)} / dy = -0.9424 × 10 ^-4 … [T]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 ( y)} / dy = -0.9167 × 10 ^-4 y = 4.7200… [W]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2283 × 10 ^-3 … [T]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.2220 × 10 ^-3 y = 5.9000… [W]… φ4 , 5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4338 × 10 ^-3 … [T]… φ4,5 ・ (N'-N) ・ d { (X (y) -X0 (y)} / dy = -0.4220 × 10 ^-3 y = 7.0800… [W]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 (y )} / dy = -0.6830 × 10 ^-3 … [T]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.6643 × 10 ^-3 y = 8.2600… [W]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.9674 × 10 ^-3 … [T]… φ4,5 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.9410 × 10 ^-3 y = 9.4400… [W]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1606 × 10 ^-2 … [T]… φ4,5 ・ ( N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1562 × 10 ^-2 y = 10.6200… [W]… φ4,5 ・ (N'-N) ・ d {( X (y) -X0 (y)} / dy = -0.4224 × 10 ^-2 … [T]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4109 × 10 ^-2 y = 11.8000… [W]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.1423 × 10 ^-1 … [ T]… φ4,5 ・ (N'-N) ・ d {(X (y) -X0 (y)} / dy = -0.4109 × 10 ^-2

[0300]

[Table 1]

[0301]

[Table 2]

[0302]

[Table 3]

[0303]

[Table 4]

[0304]

[Table 5]

[0305]

[Table 6]

2, FIG. 4, FIG. 6, FIG. 8, FIG.
3, FIG. 16, FIG. 19, FIG. 22, FIG. 24, FIG. 26, FIG.
8, FIG. 30, and FIG. 32 are aberration diagrams in the infinity imaging state corresponding to the above Examples 1 to 14, respectively.
The various aberrations at the wide-angle end [W], the middle [M], and the telephoto end [T] are shown. 11, FIG. 14, FIG. 17, and FIG. 20 are aberration charts in the closest photographing state [W (D = 5 m)] at the wide-angle end corresponding to Examples 5 to 8, respectively. In each aberration diagram, the solid line (d) is the aberration for the d-line, and the dashed line (g) is g
Aberrations with respect to a line, a two-dot chain line (c) shows an aberration with respect to a c-line, and a broken line (SC) shows a sine condition. A broken line (DM) and a solid line
(DS) represents astigmatism on the meridional surface and the sagittal surface, respectively.

[0307]

As described above, according to the present invention, it is possible to realize a compact zoom lens having high optical performance without causing parallax and complicating the lens barrel structure. Then, by using the zoom lens according to the present invention, the camera can be downsized.

[Brief description of drawings]

FIG. 1 is a lens configuration diagram showing a first embodiment and a first example.

FIG. 2 is an aberration diagram of Example 1 in an infinite photographing state.

FIG. 3 is a lens configuration diagram showing a second embodiment and a second example.

FIG. 4 is an aberration diagram of Example 2 in the infinity imaging state.

FIG. 5 is a lens configuration diagram showing a third embodiment and a third example.

FIG. 6 is an aberration diagram of Example 3 in an infinite photographing state.

FIG. 7 is a lens configuration diagram showing a fourth embodiment and a fourth example.

8A and 8B are aberration diagrams of Example 4 in the infinity imaging state.

FIG. 9 is a lens configuration diagram showing a fifth embodiment and a fifth example.

FIG. 10 is an aberration diagram of Example 5 in the infinity imaging state.

FIG. 11 is an aberration diagram of Example 5 in a close-up shooting state.

FIG. 12 is a lens configuration diagram showing a sixth embodiment and a sixth example.

FIG. 13 is an aberration diagram of Example 6 in the infinity imaging state.

FIG. 14 is an aberration diagram of Example 6 in a close-up shooting state.

FIG. 15 is a lens configuration diagram showing a seventh embodiment and a seventh example.

16 is an aberration diagram of Example 7 in the infinity imaging state. FIG.

FIG. 17 is an aberration diagram of Example 7 in a close-up shooting state.

FIG. 18 is a lens configuration diagram showing an eighth embodiment and an example 8.

FIG. 19 is an aberration diagram of Example 8 in the infinity imaging state.

FIG. 20 is an aberration diagram of Example 8 in a close-up shooting state.

FIG. 21 is a lens configuration diagram showing a ninth embodiment and a ninth example.

FIG. 22 is an aberration diagram of Example 9 in the infinity imaging state.

FIG. 23 is a lens configuration diagram showing a tenth embodiment and a tenth example.

FIG. 24 is an aberration diagram for Example 10 in infinity imaging.

FIG. 25 is a lens configuration diagram showing an eleventh embodiment and an eleventh embodiment.

FIG. 26 is an aberration diagram of Example 11 in the infinity imaging state.

FIG. 27 is a lens configuration diagram showing a twelfth embodiment and a twelfth embodiment.

FIG. 28 is an aberration diagram of Example 12 in the infinity imaging state.

FIG. 29 is a lens configuration diagram showing a thirteenth embodiment and a thirteenth embodiment.

FIG. 30 is an aberration diagram of Example 13 in the infinity imaging state.

FIG. 31 is a lens configuration diagram showing a fourteenth embodiment and a fourteenth embodiment.

FIG. 32 is an aberration diagram of Example 14 in the infinity imaging state.

[Explanation of symbols]

 Gr1 ... 1st group Gr2 ... 2nd group Gr3 ... 3rd group Gr4 ... 4th group Gr5 ... 5th group Gr6 ... 6th group HP ... Half prism PM ... Pellicle mirror

Claims (1)

[Claims] 1. A zoom lens comprising a plurality of zoom groups, wherein the zoom lens is provided with a reflecting means for dividing a light flux or switching an optical path by reflecting the light flux between the zoom groups, wherein a diaphragm and a lens are provided behind the reflecting means. A zoom lens including a shutter, wherein the reflecting means moves integrally with a zoom group positioned adjacent to the rear side of the reflecting means during zooming.