JP6669411B2 - Compound eye optical equipment - Google Patents

Description

  The present invention relates to a compound eye optical device such as an image pickup device and a lens device for performing compound eye image pickup.

  As an imaging device such as a video camera or a digital camera, a compound-eye imaging device has been proposed that realizes downsizing by dividing an imaging optical system into a plurality. The compound eye utilizes the structure of the insect's eye.For example, an imaging optical system is configured by a lens array composed of a plurality of lenses, and the size of the imaging device is reduced by reducing the diameter and the focal length of each lens. can do.

  However, it is difficult to add an optical zoom function for changing the angle of view to a conventional compound-eye imaging device. This is because, in order to adopt an optical zoom function of moving the lens constituting the imaging optical system in the optical axis direction to change the angle of view for photographing in the compound-eye imaging device, the imaging optical system divided into a plurality of components is used. This is because a mechanism for moving the respective lenses is required, and as a result, the size of the imaging device is increased.

  Patent Literature 1 discloses a compound-eye imaging apparatus that captures images such that a short focus lens and a long focus lens having different angles of view include the same portion of a subject. In this compound-eye imaging apparatus, a zoom-up image obtained from an imaging region corresponding to a long focal length lens is fitted into a part of an image obtained from an imaging region corresponding to a short focal length lens in an image sensor. Patent Document 2 discloses an imaging apparatus that has a plurality of single focus lenses having different focal lengths from each other, and changes an angle of view by moving an image sensor on an optical axis of a single focus lens used for shooting. It has been disclosed. Further, Patent Literature 3 discloses a compound-eye imaging apparatus in which a plurality of single eyes (optical systems) having different focal lengths each include a front group lens and a rear group lens. In this compound-eye imaging device, the distance from the imaging element to the lens surface closest to the object in the plurality of single eyes is set so that the field of view of each single eye is not obstructed by other single eyes.

JP 2005-303694A JP 2001-330878 A JP 2005-341301 A

  Patent Literature 1 discloses a configuration in which zooming is realized by image processing of an image obtained using a single-focus optical system having different focal lengths from each other. However, an image formation required to enlarge a zoom range is disclosed. It does not disclose a configuration for widening the angle of the optical system. In the compound-eye imaging device disclosed in Patent Document 3, the lens surface of the wide-angle single eye among the lens surfaces on the most object side of each of the plurality of single eyes is arranged at a position closest to the image sensor. For this reason, even if the wide-angle monocular is to be further widened, the field of view is blocked by the telephoto monocular.

  Furthermore, in the imaging device disclosed in Patent Document 2, since the single focus lens used for imaging is switched by the configuration in which the image sensor moves with respect to the multiple single focus lenses, a plurality of images having different angles of view from each other can be formed. It cannot be used as a compound eye imaging device that acquires at the same time.

  The present invention provides a compound-eye optical apparatus capable of achieving both further widening of the wide-angle side imaging optical system among a plurality of imaging optical systems having different focal lengths and securing of a visual field.

A compound eye optical apparatus according to one aspect of the present invention includes a plurality of imaging optical systems that respectively form optical images of an object in mutually different areas on an image plane, and a plurality of optical images that the plurality of imaging optical systems respectively form. the to have a, an imaging unit is one of a plurality of image pickup element for photoelectrically converting each of the one image pickup element for photoelectrically converting or the plurality of optical images in different photoelectric conversion region. The plurality of imaging optical systems include imaging optical systems having mutually different focal lengths. The most object-side lens in the wide optical system having the shortest focal length among the plurality of imaging optical systems is a meniscus lens having negative optical power and having a convex surface facing the object side. The point closest to the object side is located closer to the object side than the lens surface closest to the object side of the other imaging optical system, and in the compound-eye optical apparatus, the surface closest to the object side is the surface closest to the object side of the wide optical system. It is characterized by having no imaging optical system located closer to the object side .

  According to the present invention, in a compound-eye optical apparatus having a plurality of imaging optical systems having different focal lengths from each other, it is possible to secure the field of view while widening the imaging optical system on the wide-angle side.

FIG. 1 is a block diagram illustrating a configuration of a compound eye imaging apparatus according to an embodiment of the present invention. FIG. 2 is a perspective view illustrating a configuration of an imaging unit of the compound-eye imaging device according to the embodiment. The front view of the said imaging part. FIG. 2 is a diagram illustrating a captured image acquired by the compound-eye imaging device according to the embodiment. FIG. 2 is a perspective view illustrating a configuration of a focus drive mechanism in the compound-eye imaging device according to the embodiment. (A), (B), (C), and (D) show a wide optical system, a wide middle optical system, and a tele middle optical system, respectively, that form a compound eye imaging optical system of the compound eye imaging apparatus according to the first embodiment (numerical example 1). Sectional drawing of a system and a tele optical system. (A), (B), (C), and (D) are aberration diagrams of the wide optical system, the wide middle optical system, the tele middle optical system, and the tele optical system in Numerical Example 1, respectively. (A), (B), (C), and (D) respectively show a wide optical system, a wide middle optical system, and a tele middle optical system that constitute a compound eye imaging optical system of the compound eye imaging apparatus according to the second embodiment (numerical example 2). Sectional drawing of a system and a tele optical system. (A), (B), (C) and (D) are aberration diagrams of a wide optical system, a wide middle optical system, a tele middle optical system, and a tele optical system in Numerical Example 2, respectively. (A), (B), (C), and (D) are a wide optical system, a wide middle optical system, and a tele middle optical system, respectively, that form a compound eye imaging optical system of the compound eye imaging apparatus according to the third embodiment (numerical example 3). Sectional drawing of a system and a tele optical system. (A), (B), (C) and (D) are aberration diagrams of a wide optical system, a wide middle optical system, a tele middle optical system, and a tele optical system in Numerical Example 3, respectively. (A), (B), (C), and (D) are a wide optical system, a wide middle optical system, and a tele middle optical system, respectively, that form a compound eye imaging optical system of the compound eye imaging apparatus according to the fourth embodiment (numerical example 4). Sectional drawing of a system and a tele optical system. (A), (B), (C) and (D) are aberration diagrams of a wide optical system, a wide middle optical system, a tele middle optical system, and a tele optical system in Numerical Example 4, respectively. (A) and (B) are sectional views of a wide optical system and a tele optical system constituting a compound-eye imaging optical system of the compound-eye imaging apparatus of Example 5 (Numerical Example 5). (A) and (B) are aberration diagrams of a wide optical system, a wide middle optical system, a tele middle optical system, and a tele optical system in Numerical Example 5, respectively. (A) and (B) are sectional views of a wide optical system and a tele optical system that constitute a compound-eye imaging optical system of the compound-eye imaging apparatus of Example 6 (Numerical Example 6). (A) and (B) are aberration diagrams of a wide optical system, a wide middle optical system, a tele middle optical system, and a tele optical system in Numerical Example 6, respectively. (A) and (B) are sectional views of a wide optical system and a tele optical system constituting a compound-eye imaging optical system of the compound-eye imaging device of Example 7 (Numerical Example 7). (A) and (B) are aberration diagrams in a wide optical system and a tele optical system in Numerical Example 7, respectively. FIG. 6 is a cross-sectional view illustrating a modification of the compound-eye imaging device of the embodiment.

  Hereinafter, embodiments of the present invention will be described with reference to the drawings.

  First, a configuration of a compound-eye imaging apparatus (hereinafter, simply referred to as an imaging apparatus) as a compound-eye optical apparatus according to an embodiment of the present invention will be described, and then a specific embodiment of a compound-eye imaging optical system used in the imaging apparatus will be described. (Numerical example) will be described.

  The imaging apparatus according to the embodiment has a compound-eye imaging optical system including a plurality of single-focus imaging optical systems. The plurality of imaging optical systems include at least two imaging optical systems having different focal lengths. Then, the imaging apparatus converts an optical image of an object (subject) formed in a different area on the image plane by a plurality of imaging optical systems into an imaging area (photoelectric conversion area) corresponding to each imaging optical system. Imaging (photoelectric conversion) by one imaging device. Alternatively, an image is captured by an image sensor provided for each image forming optical system (that is, a plurality of image sensors). The imaging device is a photoelectric conversion device such as a CCD sensor or a CMOS sensor.

  The imaging apparatus according to the embodiment achieves zooming by simultaneously acquiring (ie, by one imaging) in-focus images having different imaging angles of view using a plurality of imaging optical systems having different focal lengths. In order to realize a zoom function for performing continuous zooming, a part of a photographed image is trimmed, and the photographing field angle is interpolated by digital zoom that obtains a pseudo-zooming effect by enlarging the trimmed range. Further, in the embodiment, a telephoto imaging optical system and a telephoto image obtained by an imaging region or an imaging element corresponding to the telephoto imaging optical system are fitted into a part of an image at an intermediate angle of view (digital zoom image) obtained by digital zoom. This makes it possible to obtain an image having an intermediate angle of view in which the resolution of the telephoto image is higher than the resolution of the digital zoom image.

  Each of the plurality of imaging optical systems includes a focus lens group that moves in a direction along the optical axis (hereinafter, referred to as an optical axis direction) during focusing. However, if a plurality of imaging optical systems for simultaneously acquiring a plurality of in-focus images having different photographing angles of view are independently designed, the driving mechanism of the driving mechanism is changed due to a difference in the amount of movement of the focus lens group. It is required for each. For example, a motor as a drive source is required for each imaging optical system. Further, even if the motor can be shared, a feed screw having a different feed pitch, a gear train having a different gear ratio, and the like are required for each imaging optical system. As a result, the size of the imaging device is increased, and the drive mechanism of the focus lens group (hereinafter, referred to as a focus drive mechanism) is complicated. In order to make the focus drive mechanism simple, it is necessary to make the moving amount of the focus lens group during focusing in a plurality of imaging optical systems having different focal lengths the same.

Here, one another focal length of different focal lengths two imaging optical system shorter imaging optical system (hereinafter, referred to as wide-side imaging optical system) the focal length of the f _W, it is the focal length is long the imaging optical system (hereinafter, referred to as tele-side imaging optical system) the focal length of the f _T. The lateral magnification of the focus lens group of the wide-side imaging optical system is β _FW , which is disposed on the image plane side (hereinafter referred to as the image side) of the focus lens group and is a fixed lens group that is not moved during focusing. the lateral magnification of the lens group and beta _RW. Further, the lateral magnification of the focus lens group of the tele-side imaging optical system is β _FT, and the lateral magnification of the rear lens group, which is disposed on the image side of the focus lens group and is immovable during focusing, is β _RT. And At this time, the wide side and the telephoto side imaging optical system focusing lens group of positional sensitivity of the (proportion of focus variation amount with respect to the movement amount in the optical axis direction) ES _W, respectively ES _T is expressed by the following equation (1), (2 ).

ES _W = (1−β _FW ² ) · β _RW ² (1)
ES _T = (1−β _FT ² ) · β _RT ² (2)
Here, paraxial conditions that should be satisfied to make the movement amounts of the focus lens groups of the wide-side and the tele-side imaging optical systems the same are expressed by the following equation (3).

Equation (3) indicates that when the ratio of the square of the focal length of the wide-side and the tele-side imaging optical systems is equal to the ratio of the position sensitivity of the focus lens unit, the amount of movement of the focusing lens unit is made equal. Indicates that you can do it. In the image pickup apparatus of the embodiment, the lateral magnification of the focus lens group and the rear lens group is set so as to satisfy the condition of Expression (3).

Note that the position sensitivity of the focus lens group in each imaging optical system is sufficient if the focus shift is within the permissible circle of confusion δ, even if Expression (3) is not completely satisfied. For example, the difference between the paraxial image plane movement amount Δx ′ and the image plane movement amount ΔA ′ by the focus lens group is defined as a focus shift amount, and the allowable circle of confusion δ is 1/500 to 1/500 of the imaging plane (image circle). If it is set to about / 1000, the defocus amount may satisfy the following equation.
| Δx′−ΔA ′ | <(F value) × δ
Therefore, in practice, if the condition expressed by the following expression (4) is satisfied, the defocus amount falls within the depth of focus of the wide-side and tele-side imaging optical systems, and the wide-side and tele-side image formation are performed. The optical system can simultaneously acquire a focused image with the same amount of movement of the focus lens group.

  In other words, in order to achieve simultaneous acquisition of focused images having different shooting angles of view and simplification of the focus driving mechanism, the respective focus lens groups of the imaging optical systems having different focal lengths are integrally held, and the expression What is necessary is just to make the movement amounts the same so as to satisfy the condition (4). When the upper limit of the condition of the expression (4) is exceeded, when the focus lens group is moved so as to be focused by the tele-side imaging optical system, the wide-side imaging optical system in which the focus lens group moves by the same amount of movement. In the system, the defocus amount exceeds the object side from the range of the depth of focus, and the focus becomes out of focus. On the other hand, when the value goes below the lower limit of the condition of the expression (4), when the focus lens group is moved so as to be focused by the tele-side image forming optical system, the wide-angle lens formed by moving the focus lens group by the same amount of movement. In the image optical system, the defocus amount exceeds the image side from the range of the depth of focus, and the image is out of focus.

  In this way, by appropriately setting the lateral magnification of the focus lens group and the rear lens group of each imaging optical system, the movement amounts of the focus lens groups of the imaging optical systems having different focal lengths are the same. can do. Thereby, it is possible to achieve both simultaneous acquisition of in-focus images with different photographing angles of view and simplification of the focus driving mechanism.

  In the embodiment, an imaging apparatus integrally including a compound-eye imaging optical system and an imaging element will be described. However, the compound-eye optical apparatus of the present invention is configured separately from an imaging apparatus having an imaging element and includes a compound-eye imaging apparatus. It includes an interchangeable lens device that has an imaging optical system and is detachably attached to the imaging device.

  Hereinafter, a basic configuration of the imaging apparatus according to the embodiment will be described. FIG. 1 shows a configuration of an imaging apparatus 1 according to an embodiment, and FIGS. 2 and 3 show a configuration of an imaging unit 100 of the imaging apparatus 1.

  The imaging device 1 includes an imaging unit 100, an A / D converter 10, an image processing unit 20, a system controller 30, an imaging control unit 40, an information input unit 50, an image recording medium 60, and a display unit 70.

  The imaging unit 100 includes eight imaging optical systems (imaging optical systems) 110a, 110b, 120a, 120b, 130a, 130b, 140a, and 140b that form optical images of an object, respectively, and eight imaging optical systems. And eight image pickup devices 210a to 210h corresponding to. FIG. 1 shows a cross section including the optical axis (indicated by a dashed line in the figure) of the imaging optical systems 110a and 140a in the imaging unit 100. As shown in FIG. 2, the eight imaging optical systems 110a, 120a, 130a, 140a, 110b, 120b, 130b, 140b are arranged such that their optical axes are parallel to each other.

  Each imaging optical system has a focus lens group 105F movable in the optical axis direction for focusing, and a rear lens group (fixed group) 105R that does not move during focusing. The focus lens groups 105F of the eight imaging optical systems are integrally held and driven by the same holding member 300 so as to move by the same amount of movement with respect to a change in the position of the object to be focused. You. The rear lens group 105R of the eight imaging optical systems is integrally held by the same holding member 310, and is fixed during focusing. Each imaging optical system includes other optical members such as an aperture (not shown).

  As described above, a method of integrally moving a part of the imaging optical system during focusing is known as partial focus. The focus lens group 105F includes one or more lenses. By integrally holding the focus lens groups that constitute the eight imaging optical systems, the adjustment process such as alignment of the respective imaging optical systems when the eight imaging optical systems are incorporated into the imaging device is simplified. Can be

  The eight image sensors 210a to 120h are integrally held to form the image sensor unit 200. The imaging device 210a corresponds to the imaging optical system 110a, and the imaging device 210b corresponds to the single focus imaging optical system 120a. The imaging device 210c corresponds to the imaging optical system 110b, and the imaging device 210d corresponds to the imaging optical system 120b. The imaging device 210e corresponds to the imaging optical system 140a, and the imaging device 210f corresponds to the imaging optical system 130a. The imaging device 210g corresponds to the imaging optical system 140b, and the imaging device 210h corresponds to the imaging optical system 130b.

  Among the eight imaging optical systems 110a, 120a, 130a, 140a, 110b, 120b, 130b, 140b, two imaging optical systems (for example, 110a and 110b) in which a and b are added to the same reference numerals as reference numerals Have the same focal length as one another. On the other hand, four sets of imaging optical systems 110 (a, b), 120 (a, b), 130 (a, b), and 140 (a, b) having different numbers as reference numerals have different focal lengths. . Among these four imaging optical systems, the imaging optical system 110 (a, b) is a wide optical system having the shortest focal length, and the imaging optical system 120 (a, b) is the second shortest focal length. Is a wide middle optical system. Further, the imaging optical system 130 (a, b) is a tele-middle optical system having the second longest (third shortest) focal length, and the imaging optical system 140 (a, b) is the longest focal length. It is a tele optical system.

  These eight imaging optical systems are arranged in a horizontal direction in each of the upper stage and the lower stage, and one imaging optical system arranged on the upper side and one imaging optical system arranged on the lower side are arranged. Make a pair with the system. Specifically, the wide optical system 110a and the tele optical system 140a form a pair, and the wide middle optical system 120a and the tele middle optical system 130a form a pair in order from the left side when viewed from the front (in the optical axis direction) shown in FIG. . The wide optical system 110b and the tele optical system 140b form a pair, and the wide middle optical system 120b and the tele middle optical system 130b form a pair. Thus, a plurality (eight) of imaging optical systems include a plurality of pairs (four pairs) of imaging optical systems such that two imaging optical systems having different focal lengths form a pair. In the embodiment, at least one pair of the imaging optical systems (for example, 110a and 140a) of the plural pairs (four pairs) of the imaging optical systems is replaced with at least another pair of imaging optical systems (for example, 120a and 130a). Is different from the combination of focal lengths.

  In the following description, a lens constituting each focus lens group of one image forming optical system and the other image forming optical system of each pair of image forming optical systems, and a direction perpendicular to the optical axis (up and down direction) The lenses adjacent to each other (adjacent lenses) are referred to as a lens pair. At this time, the holding member 300 integrally holds the four focus lens pairs that constitute the focus lens group of the four imaging optical systems. Also, lenses constituting respective rear lens groups of one imaging optical system and the other imaging optical system of each pair of imaging optical systems, and lenses adjacent to each other in a vertical direction orthogonal to the optical axis. (Adjacent lens) is also referred to as a lens pair. At this time, the holding member 310 integrally holds the four lens pairs forming the rear lens group of the four imaging optical systems.

  1 and 2, an optical image formed by each of the pair of imaging optical systems 110a and 140a is converted into an analog electric signal by a photoelectric conversion operation of the imaging elements 210a and 210e. Similarly, an optical image formed by each of the pair of imaging optical systems 120a and 130a is converted into an analog electric signal by a photoelectric conversion operation of the imaging elements 210b and 210f. The optical image formed by each of the pair of imaging optical systems 110b and 140b is converted into an analog electric signal by a photoelectric conversion effect of the imaging elements 210c and 210g. Further, the optical images formed by each of the pair of imaging optical systems 120b and 130b are converted into analog electric signals by the photoelectric conversion action of the imaging elements 210d and 210h.

  The A / D converter 10 shown in FIG. 1 converts the analog electric signals output from the imaging elements 210a to 210h into digital signals and supplies the digital signals to the image processing unit 20. The image processing unit 20 performs predetermined image processing such as pixel interpolation processing and color conversion processing on each digital signal from the A / D converter 10 to generate a captured image as a digital image. Further, the image processing unit 20 performs a predetermined calculation process using the data of the captured image. Data indicating the result of the arithmetic processing by the image processing unit 20 is transmitted to the system controller 30.

  The information input unit 50 uses the information acquisition unit 51 to acquire information on the imaging conditions input by the user, and supplies the information to the system controller 30. The system controller 30 controls the imaging control unit 40 based on the various data supplied. The imaging control unit 40 performs imaging by controlling the position (movement amount) of the focus lens group 105F, the aperture value of each imaging optical system, the exposure time of the imaging elements 210a to 210h, and the like.

  FIG. 4 shows captured images 1110a, 1120a, 1130a, and 1140a obtained using the imaging optical systems 110a, 120a, 130a, and 140a. As shown in FIG. 4, a photographed image 1110a obtained using the wide optical system 110a is an image that captures the widest photographing angle of view (subject space). Hereinafter, the shooting angle of view becomes narrower in the order of the shot images 1120a, 1130a, and 1140a obtained using the wide middle optical system 120a, the tele middle optical system 130a, and the tele optical system 140a.

  FIG. 5 shows the configuration of the focus drive mechanism of the imaging unit 100. The holding member 300 holding the focus lens group 105F of the eight imaging optical systems includes sleeve portions 403 that respectively engage with the first guide bar 401 and the second guide bar 402 extending parallel to the optical axis of each imaging optical system. And a U-shaped groove 404. The sleeve portion 403 is guided in the optical axis direction by the first guide bar 401, and the U-shaped groove portion 404 prevents rotation of the holding member 300 about the first guide bar 401.

  The focus drive mechanism has a lead screw 405 that is rotated by an actuator such as a stepping motor (not shown), and a rack 406 that meshes with the lead screw 405. The rack 406 is attached to the holding member 300. The rotation of the lead screw 405 is converted into a driving force in the optical axis direction by the rack 406, and the driving force causes the holding member 300 to move in the optical axis direction together with the focus lens group 105F.

  Each pair of imaging optical systems having different focal lengths satisfies the condition shown in Expression (4). This is the same for any two of the eight imaging optical systems having different focal lengths. Therefore, by moving the holding member 300 that integrally holds the four pairs of focus lens groups 105F of the imaging optical system, that is, by moving these focus lens groups 105F by the same amount of movement, the four pairs of focus lens groups 105F are moved. The image optics can be focused on objects at the same distance. Therefore, it is possible to acquire four pairs of focused images (two focused images having the same shooting angle of view) having different shooting angle of view by one imaging control.

  As described above, the four lens pairs included in the four imaging optical systems are integrally held by the same holding member 300 or the same holding member 310, so that each of the imaging lenses when assembling the eight imaging optical systems is formed. Adjustment such as alignment of the image optical system can be simplified. Specifically, by attaching a marker for positioning to the holding member, the marker is assembled so as to be aligned with a predetermined position at the time of assembly, so that the alignment of the four lens pairs held by the holding member is collectively performed. (In one step).

  The image recording medium 60 stores data of a captured image and information such as imaging conditions when the captured image is acquired. The display unit 70 includes a display device such as a liquid crystal display element, and displays a captured image and other information.

  Although FIGS. 1 and 2 show a case where each imaging optical system is composed of two groups of a focus lens group F and a rear lens group R, three or more multi-group imaging optical systems are used. Is also good.

  In the embodiment, the lens disposed closest to the object in the wide optical system having the shortest focal length has a negative optical power (the reciprocal of the focal length) and has a meniscus lens having a convex surface facing the object side. It is. By using such a meniscus lens, it is possible to effectively correct distortion and curvature of field when the wide optical system is widened. Further, the object-side convex surface of the meniscus lens is disposed closest to the object among the plurality of imaging optical systems. As a result, even if the wide optical system is widened, the light flux is not blurred by other imaging optical systems, and the field of view of the wide optical system is not obstructed. Therefore, a plurality of in-focus images having different photographing angles of view including a wide photographing angle of view corresponding to the wide optical system can be acquired by a single photographing.

  Further, in the embodiment, the above-described lens pairs have different surface shapes, and the lens pairs in at least one of the plurality of imaging optical systems are formed of the same material. desirable. Since the lens pairs included in the pair of imaging optical systems having different focal lengths have different surface shapes, even when these lens pairs are integrally held, sufficient imaging can be performed by the pair of imaging optical systems. Performance can be obtained. Further, by forming at least one lens pair of the imaging optical system with the same material, even when a plurality of imaging optical systems are provided, the manufacturing cost can be reduced, and the cost of the entire imaging apparatus is reduced. can do.

  In this case, by molding (integrally molding) a lens pair formed of the same material as an integral member, it is possible to further reduce the manufacturing cost and to facilitate the assembly of the imaging optical system of the pair. Can be. FIG. 20 shows, as an example, a pair of imaging lenses when the lens pair of the focus lens group 105F and the lens pair of the rear lens group 105R in the pair of imaging optical systems shown in FIG. 2 shows a cross section of the image optical system. The holding member 300 holds an integrally formed lens pair of the focus lens group 105F, and the holding member 310 holds an integrally formed lens pair of the rear lens group 105R. As a method of integrally molding the lens pair, a conventional injection molding method, a glass molding method in which glass is put into a metal mold and pressed, and the like can be used.

  By thus integrally molding the lens pairs included in the pair of imaging optical systems having different focal lengths from the same material, the steps required for manufacturing and assembling can be reduced, and the cost can be reduced. .

  Further, it is preferable that at least one pair of the imaging optical systems of the at least one pair of the imaging optical systems in which the lens pairs are formed of the same material have the same sign of the refractive power. This makes it possible to effectively correct chromatic aberration in a pair of imaging optical systems including a lens pair having the same sign of refractive power.

  Also, each imaging optical system is constituted by at least three lenses, and at least one pair of lens pairs of at least one of the plurality of pairs of imaging optical systems whose center in the optical axis direction of the plane center of the lens pair does not match. It is desirable that at least one of the lenses has a meniscus shape. By configuring each imaging optical system with three or more lenses, it is possible to effectively correct various aberrations of each imaging optical system. Further, when performing partial focusing, the focus lens group can be constituted by two or more lenses, so that variations in field curvature and chromatic aberration due to focusing can be effectively corrected. Furthermore, by providing a meniscus shape to at least one lens of the lens pair in which the position of the plane center in the optical axis direction does not match, it becomes possible to make the position of the joint portion of the lens pair closer. Thereby, the lens pair can be more easily integrally held or integrally formed.

  According to the configuration of the imaging apparatus of the present embodiment, it is possible to simplify the assembly (reducing the number of steps) when a plurality of imaging optical systems having different focal lengths are respectively configured by a plurality of lenses, and to reduce the wide-angle side. Further widening of the angle of the imaging optical system and securing of the field of view can be compatible.

  Hereinafter, specific examples of the compound-eye imaging optical system and numerical examples corresponding thereto will be described.

  FIGS. 6A, 6B, 6C, and 6D show cross sections of a wide optical system, a wide middle optical system, a tele middle optical system, and a tele optical system that constitute the compound-eye imaging optical system of the first embodiment. Is shown. In these sectional views, the left side is the object side (front side), and the right side is the image side (rear side: hereinafter also referred to as the image side). F indicates a focus lens group, and R indicates a rear lens group. SP indicates an aperture stop, and IP indicates an image plane. On the image plane IP, one imaging device having an imaging region for each optical system or a plurality of imaging devices prepared for each optical system is arranged. The description of these reference numerals is the same in other embodiments described later.

  FIGS. 7A, 7B, 7C, and 7D show various examples of a wide optical system, a wide middle optical system, a tele middle optical system, and a tele optical system of Numerical Example 1 described later corresponding to the first embodiment. Shows aberrations. In these aberration diagrams, d-line and g-line in spherical aberration indicate spherical aberration of d-line and g-line, respectively, and ΔM and ΔS in astigmatism indicate astigmatism in a meridional image plane and a sagittal image plane, respectively. Is shown. Distortion is indicated by d-line (d-line), and lateral chromatic aberration is indicated by g-line (g-line). ω is a half angle of view, and Fno is an F number. The description of these symbols is the same in other embodiments described later.

  Each of the image forming optical systems constituting the compound-eye image forming optical system of the present embodiment is a front lens focus type optical system, and is a focus lens which is a lens group closest to the object side during focusing from an object at infinity to a close object. The group F moves to the object side, and the rear lens group R is immobile (fixed). In the following description (and in other embodiments described later), the description of the lens configuration of each lens group will be made in the order from the object side to the image side.

  The focus lens group F of the wide optical system shown in FIG. 6A has a meniscus lens having negative optical power and a convex surface facing the object side, and a biconvex shape having an Abbe number of 68.3. , And a negative lens. With this configuration, it is possible to reduce the size of the wide optical system when the wide optical system is widened, and to effectively correct distortion and chromatic aberration. The object-side convex surface of the negative meniscus lens is located at the same position as the most object-side surface (first surface) of each of the four pairs of imaging optical systems in the optical axis direction, that is, four pairs of imaging optical systems. Among the objects. Thus, by arranging the object-side convex surface of the negative meniscus lens closest to the object side of the wide optical system to the object side of the four pairs of imaging optical systems, the field of view of the wide optical system can be changed to other imaging optical systems. It is not blocked by the system. Furthermore, by adopting such an arrangement, it is possible to arrange the negative meniscus lens such that the outer peripheral portion (edge portion) is closer to the edge portion of the lens closest to the object in the other imaging optical system. This makes it possible to more easily carry out the integral holding of the lens pair by the holding member or the joining at the integral joint of the integral molded lens pair.

  The rear lens unit R includes a biconvex positive lens, a positive lens, and a negative lens.

  The focus lens group F of the wide middle optical system shown in FIG. 6B has a meniscus lens having negative optical power and a convex surface facing the object side, and a biconvex lens having an Abbe number. It is composed of a 68.3 positive lens and a negative lens. With this configuration, it is possible to reduce the size of the wide middle optical system and to effectively correct distortion and chromatic aberration. The rear lens unit R includes a biconvex positive lens, a negative lens, and a negative lens.

  The focus lens group F of the tele-middle optical system shown in FIG. 6C includes a negative lens having a biconcave shape, a positive lens having a biconvex shape and having an Abbe number of 68.3, and a negative lens. Have been. With this configuration, it is possible to reduce the size of the tele-middle optical system and effectively correct chromatic aberration. The rear lens unit R includes a negative meniscus lens having a concave surface facing the image side, a positive lens, and a negative meniscus lens having a concave surface facing the image side.

  The focus lens group F of the tele optical system shown in FIG. 6D includes a positive lens, a positive lens having a biconvex shape and an Abbe number of 68.3, and a negative lens. With this configuration, it is possible to reduce the size of the tele optical system and effectively correct chromatic aberration. The rear lens unit R includes a negative meniscus lens having a concave surface facing the image side, a positive lens, and a negative meniscus lens having a concave surface facing the image side.

  In the present embodiment, the edge portions of the lenses constituting each imaging optical system are arranged so that the lenses having the same order from the object side (that is, lens pairs) are close to each other. For this reason, lenses having the same order from the object side can be integrally held or integrally formed as a lens pair.

  FIGS. 8A, 8B, 8C, and 8D show cross sections of a wide optical system, a wide middle optical system, a tele middle optical system, and a tele optical system that constitute the compound-eye imaging optical system of the second embodiment. Is shown. FIGS. 9A, 9B, 9C, and 9D show various examples of a wide optical system, a wide middle optical system, a tele middle optical system, and a tele optical system of Numerical Example 2 described later corresponding to the second embodiment. Shows aberrations.

  Each of the image forming optical systems constituting the compound-eye image forming optical system of the present embodiment includes a front lens group arranged closest to the object side, a focus lens group F arranged closer to the image side, and a further image side. This is an optical system of an inner focus system having a rear lens group disposed. During focusing from an object at infinity to an object at a short distance, the focus lens unit F moves to the image side, and the rear lens unit R is immobile (fixed).

  The front lens group of the wide optical system shown in FIG. 8A includes a meniscus lens having negative optical power and having a convex surface facing the object side, and a positive lens. Thereby, it is possible to reduce the size of the wide optical system and effectively correct distortion. The focus lens group F includes a negative meniscus lens having a convex surface facing the object side and a positive lens having a biconvex shape and an Abbe number of 60.1, and effectively corrects chromatic aberration. . The rear lens unit R includes a biconvex positive lens and a negative lens.

  The front lens group of the wide middle optical system illustrated in FIG. 8B includes a meniscus lens having negative optical power and having a convex surface facing the object side, and a negative lens. Thereby, it is possible to reduce the size of the wide middle optical system and effectively correct distortion. The focus lens group F includes a negative meniscus lens having a convex surface facing the object side, and a positive lens having a biconvex shape and having an Abbe number of 60.1, and effectively corrects chromatic aberration. I have. The rear lens unit R includes a meniscus-shaped positive lens having a concave surface facing the image side, and a negative lens.

  The front lens group of the tele-middle optical system shown in FIG. 8C is composed of a biconcave negative lens and a positive lens, thereby effectively reducing the size of the tele-middle optical system. The focus lens group F includes a meniscus-shaped negative lens having a concave surface facing the object side and a negative lens having an Abbe number of 60.1, and effectively corrects chromatic aberration. The rear lens unit R includes a meniscus-shaped positive lens having a concave surface facing the image side, and a negative lens.

  The front lens group of the tele optical system illustrated in FIG. 8D includes a positive lens and a positive lens, and effectively reduces the size of the tele optical system. The focus lens group F includes a meniscus-shaped negative lens having a concave surface facing the object side and a negative lens having an Abbe number of 60.1, and effectively corrects chromatic aberration. The rear lens unit R includes a negative meniscus lens having a concave surface facing the image side, and a positive lens.

  Also in the present embodiment, the edge portions of the lenses constituting each imaging optical system are arranged so that the lenses having the same order from the object side (that is, lens pairs) are close to each other. For this reason, lenses having the same order from the object side can be integrally held or integrally formed as a lens pair.

  FIGS. 10A, 10B, 10C, and 10D show cross sections of a wide optical system, a wide middle optical system, a tele middle optical system, and a tele optical system that constitute the compound-eye imaging optical system of the third embodiment. Is shown. FIGS. 11A, 11B, 11C, and 11D show various examples of a wide optical system, a wide middle optical system, a tele middle optical system, and a tele optical system of Numerical Example 3 described later corresponding to the third embodiment. Shows aberrations.

  Each of the image forming optical systems constituting the compound-eye image forming optical system of the present embodiment has a front lens group arranged closest to the object side and a focus lens group F arranged closer to the image side. This is a rear focus type optical system having no rear lens group disposed on the image side of the lens group. At the time of focusing from an object at infinity to an object at a short distance, the focus lens unit F moves to the object side, and the rear lens unit R is immobile (fixed).

  The front lens group of the wide optical system shown in FIG. 10A has a meniscus lens having negative optical power and a convex surface facing the object side, a positive lens, and a meniscus negative lens having a convex surface facing the object side. It is composed of a lens and a positive lens. Thereby, it is possible to reduce the size of the wide optical system and effectively correct distortion. The focus lens group F includes a positive lens having a biconvex shape and an Abbe number of 68.3, and a negative lens, and effectively corrects chromatic aberration.

  The front lens group of the wide middle optical system shown in FIG. 10B has a meniscus lens having negative optical power and a convex surface facing the object side, a positive lens, and a meniscus shape having a concave surface facing the image side. It is composed of a negative lens and a positive lens. With this configuration, it is possible to reduce the size of the wide middle optical system and effectively correct distortion. The focus lens group F includes a positive lens having a meniscus shape with the convex surface facing the object side and an Abbe number of 68.3, and a negative lens, and effectively corrects chromatic aberration.

  The front lens group of the tele-middle optical system shown in FIG. 10C includes a negative lens, a positive lens, a meniscus-shaped negative lens having a concave surface facing the image side, and a positive lens. To be downsized. The focus lens group F includes a positive lens having a meniscus shape with the convex surface facing the object side and an Abbe number of 68.3, and a negative lens, and effectively corrects chromatic aberration.

  The front lens group of the tele optical system illustrated in FIG. 10D includes a meniscus negative lens having a convex surface facing the object side, a positive lens, a meniscus negative lens having a concave surface facing the image side, and a negative lens. And effectively reduce the size of the tele optical system. The focus lens group F includes a positive lens having an Abbe number of 68.3 and a meniscus-shaped positive lens having a concave surface facing the image side, and effectively corrects chromatic aberration.

  Also in the present embodiment, the edge portions of the lenses constituting each imaging optical system are arranged so that the lenses having the same order from the object side (that is, lens pairs) are close to each other. For this reason, lenses having the same order from the object side can be integrally held or integrally formed as a lens pair.

  FIGS. 12A, 12B, 12C, and 12D show cross sections of a wide optical system, a wide middle optical system, a tele middle optical system, and a tele optical system that constitute the compound-eye imaging optical system of the fourth embodiment. Is shown. FIGS. 13A, 13B, 13C, and 13D show various types of a wide optical system, a wide middle optical system, a tele middle optical system, and a tele optical system of Numerical Example 4 described later corresponding to the fourth embodiment. Shows aberrations.

  Each of the imaging optical systems constituting the compound-eye imaging optical system of the present embodiment is a front lens focus type optical system, and the focusing lens group F moves to the object side during focusing from an object at infinity to an object at a short distance. , The rear lens unit R is stationary.

  The focus lens group F of the wide optical system shown in FIG. 12A has a meniscus lens having negative optical power and having a convex surface facing the object side, a positive lens having an Abbe number of 68.3, and a negative lens. It is composed of With this configuration, it is possible to reduce the size of the wide optical system and effectively correct distortion and chromatic aberration. The rear lens unit R includes a biconvex positive lens, a positive lens, and a negative lens.

  The focus lens group F of the wide middle optical system shown in FIG. 12B includes a negative lens, a positive lens having an Abbe number of 68.3, and a negative lens. With this configuration, it is possible to reduce the size of the wide middle optical system and to effectively correct distortion and chromatic aberration. The rear lens unit R includes a biconvex positive lens, a positive lens, and a negative lens.

  The focus lens unit F of the tele-middle optical system shown in FIG. 12C includes a biconcave negative lens, a biconvex positive lens having an Abbe number of 68.3, and a negative lens. ing. With this configuration, it is possible to reduce the size of the tele-middle optical system and effectively correct chromatic aberration. The rear lens unit R includes a negative meniscus lens having a concave surface facing the image side, a positive lens, and a negative meniscus lens having a concave surface facing the image side.

  The focus lens group F of the tele optical system shown in FIG. 12D includes a positive lens, a positive lens having an Abbe number of 68.3, and a negative lens. This configuration makes it possible to reduce the size of the tele optical system and effectively correct chromatic aberration. The rear lens group R includes a negative meniscus lens having a concave surface facing the image side, a positive lens, and a positive meniscus lens having a concave surface facing the image side.

  Also in the present embodiment, the edge portions of the lenses constituting each imaging optical system are arranged so that the lenses having the same order from the object side (that is, lens pairs) are close to each other. For this reason, lenses having the same order from the object side can be integrally held or integrally formed as a lens pair.

  FIGS. 14A and 14B show cross sections of a wide optical system and a tele optical system constituting the compound-eye imaging optical system of the fifth embodiment. 15A and 15B show various aberrations of the wide optical system and the tele optical system of Numerical Example 5 described later corresponding to the fifth embodiment.

  Each of the imaging optical systems constituting the compound-eye imaging optical system of the present embodiment is a front lens focus type optical system, and the focusing lens group F moves to the object side during focusing from an object at infinity to an object at a short distance. , The rear lens unit R is stationary.

  The focus lens group F of the wide optical system shown in FIG. 14A includes a meniscus lens having negative optical power and having a convex surface facing the object side, and a meniscus-shaped positive lens having a concave surface facing the object side. It is configured. This configuration makes it possible to reduce the size of the wide optical system and to effectively correct distortion and chromatic aberration. The rear lens unit R includes a positive lens, a positive lens, a positive / negative cemented lens, and a biconcave negative lens.

  The focus lens group F of the tele optical system shown in FIG. 14B includes a positive meniscus lens having a convex surface facing the object side, a negative-positive cemented lens, and a positive lens. The rear lens unit R includes a negative meniscus lens having a concave surface facing the image side and a positive meniscus lens having a concave surface facing the image side.

  In the present embodiment, the edge of the negative meniscus lens closest to the object side of the wide optical system and the edge of the third positive lens from the object side are respectively the edge of the positive meniscus lens closest to the object of the tele optical system. And the edge of the fourth negative meniscus lens from the object side. Therefore, these lens pairs can be integrally held or integrally formed.

  FIGS. 16A and 16B show cross sections of a wide optical system and a tele optical system constituting the compound-eye imaging optical system of the sixth embodiment. FIGS. 17A and 17B show various aberrations of the wide optical system and the tele optical system of Numerical Example 6 described later corresponding to the sixth embodiment.

  Each of the imaging optical systems constituting the compound-eye imaging optical system of the present embodiment is a front lens focus type optical system, and the focusing lens group F moves to the object side during focusing from an object at infinity to an object at a short distance. , The rear lens unit R is stationary.

  The focus lens group F of the wide optical system shown in FIG. 16A has a meniscus lens having negative optical power and a convex surface facing the object side, a biconvex positive lens, and a concave surface facing the object side. And a negative meniscus lens. This configuration enables downsizing of the wide optical system and effective correction of distortion and chromatic aberration. The rear lens unit R includes a positive lens, a positive lens, and a biconcave negative lens.

  The focus lens group F of the tele optical system shown in FIG. 16B includes a biconcave negative lens, a positive lens, and a positive lens. The rear lens unit R includes a positive meniscus lens having a concave surface facing the image side, a positive lens, and a negative meniscus lens having a concave surface facing the object side.

  In the present embodiment, the second positive lens from the object side of the wide optical system and the second positive lens from the object side of the tele optical system are formed of the same material, have different surface shapes, and have a different refractive power. The signs are the same.

  The fourth positive lens from the object side of the wide optical system and the fourth positive lens from the object side of the tele optical system have different positions in the optical axis direction of their plane centers. The fourth positive lens from the side has a meniscus shape.

  Also in the present embodiment, the edge portions of the lenses constituting each imaging optical system are arranged so that the lenses having the same order from the object side (that is, lens pairs) are close to each other. For this reason, lenses having the same order from the object side can be integrally held or integrally formed as a lens pair.

  FIGS. 18A and 18B show cross sections of a wide optical system and a tele optical system which constitute the compound-eye imaging optical system of the seventh embodiment. FIGS. 19A and 19B show various aberrations of the wide optical system and the tele optical system of Numerical Example 7 described later corresponding to the seventh embodiment.

  The wide optical system constituting the compound-eye imaging optical system of the present embodiment is a front lens focus type optical system, and the focusing lens group F moves to the object side during focusing from an object at infinity to an object at a short distance. The lens unit R is stationary. On the other hand, the tele optical system adopts a focus method based on whole extension, and is constituted only by a focus lens group F (there is no rear lens group).

  The focus lens group F of the wide optical system shown in FIG. 18A has a meniscus lens having negative optical power and a convex surface facing the object side, and a biconvex shape having an Abbe number of 68.3. , And a negative lens. This configuration enables downsizing of the optical system and effective correction of distortion and chromatic aberration. The rear lens unit R includes a positive lens, a positive lens, and a meniscus-shaped negative lens having a concave surface facing the object side.

  A focus lens group F of the tele optical system shown in FIG. 18B has a positive lens having a biconvex shape, a positive lens having a biconvex shape and an Abbe number of 68.3, a negative lens, and a It comprises a meniscus-shaped negative lens with a concave surface, a positive lens, and a positive lens.

  Also in the present embodiment, the edge portions of the lenses constituting each imaging optical system are arranged so that the lenses having the same order from the object side (that is, lens pairs) are close to each other. For this reason, lenses having the same order from the object side can be integrally held or integrally formed as a lens pair.

  Next, Numerical Examples 1 to 7 corresponding to the compound-eye imaging optical systems of Embodiments 1 to 7 will be described. In each numerical example, i represents the number of the surface counted from the object side. ri is the radius of curvature of the i-th optical surface (i-th surface). di is the distance between the i-th surface and the (i + 1) -th surface on the optical axis. ndi and νdi are the refractive index and Abbe number of the material of the i-th lens with respect to the d-line, respectively. f is a focal length, Fno is an F number, and ω is a half angle of view. An interval di of 0 indicates that the front surface and the rear surface forming the interval are joined. The focal length f, the F-number Fno, and the half angle of view ω respectively indicate values when focusing on an object at infinity. BF indicates an air-equivalent value of the distance (back focus) from the last lens surface to the image surface.

  The shape of the aspherical lens surface (the surface number is marked with *) is defined as follows: R is the radius of curvature of the center of the lens surface, H is the position in the direction orthogonal to the optical axis, and the aspherical surface coefficient K , A3, A4, A5, A6, A7, A8, A9, A10, A11, and A12, are given by the following equations.

^{X = (H 2 / R)} / [1+ {1- (1 + K) (H / R) 2} 1/2]
^{+ A3 · H 3 + A4 ·} H 4 + A5 · H 5 + A6 · H 6 + A7 · H 7 + A8 · H 8
^{+ A9 · H 9 + A10 ·} H 10 + A11 · H 11 + A12 · H 12
“E ± XX” in each aspheric coefficient means “× 10 ^{± XX} ”.

Further, Table 1 collectively shows values in each numerical example with respect to the condition of the above-described equation (4). In Examples 3 and 7, since no rear lens group exists, the value of Expression (4) is calculated by setting β _RW and β _RT in Expressions (1) and (2) to 1 each. did.

(Numerical example 1)
Wide optical system
Unit: mm
Surface data
Surface number rd nd νd Effective diameter
1 * 40.382 1.30 1.62041 60.3 5.88
2 * 2.411 2.67 4.00
3 * 6.203 1.40 1.59240 68.3 3.87
4 * -11.433 0.50 3.49
5 * -62.116 0.80 1.80518 25.4 3.14
6 * 15.255 0.10 3.13
7 (aperture) ∞ 0.10 3.14
8 * 6.018 1.20 1.64000 60.1 3.20
9 * -12.756 3.48 3.11
10 * 9.928 1.80 1.59240 68.3 4.65
11 * -11.658 0.50 4.57
12 * -28.136 1.00 1.84666 23.8 4.44
13 * 8.934 5.01
Image plane ∞

Aspheric data
First side
K = -8.61567e + 001 A 4 = -9.22230e-004 A 6 = 4.19663e-005
Second side
K = -9.30223e-001 A 4 = 7.19408e-003 A 6 = 6.36185e-004
Third side
K = 3.54414e + 000 A 4 = 2.81499e-003 A 6 = 2.34019e-004
Fourth side
K = -3.53906e + 000 A 4 = 1.43935e-003 A 6 = 1.07092e-004
Fifth surface
K = 3.15676e + 000 A 4 = 1.79932e-003 A 6 = -9.65503e-004
Side 6
K = 4.96423e + 001 A 4 = 1.09416e-003 A 6 = -7.97966e-004
Side 8
K = -3.06847e + 000 A 4 = -1.51330e-004 A 6 = 3.84651e-004
9th page
K = 9.75797e + 000 A 4 = -3.28928e-004 A 6 = 5.50566e-004
10th page
K = -1.10481e + 001 A 4 = 2.90917e-004 A 6 = 5.26599e-004
Eleventh
K = 1.72650e + 001 A 4 = -4.08824e-003 A 6 = 9.11055e-004
Side 12
K = -7.35482e + 001 A 4 = -1.54275e-002 A 6 = 3.85072e-004
Thirteenth
K = 7.43385e + 000 A 4 = -1.07701e-002 A 6 = 4.92519e-004

Various data
Focal length 5.20
F-number 2.88
Half angle of view 36.69
Image height 3.88
Lens length 17.91
BF 3.06
Entrance pupil position 3.15
Exit pupil position -4.86
Front principal point position 4.94
Rear principal point position -2.14

Single lens data
Lens Start surface Focal length
1 1 -4.19
2 3 6.99
3 5 -15.14
4 8 6.55
5 10 9.34
6 12 -7.91

Wide middle optical system
Unit: mm
Surface data
Surface number rd nd νd Effective diameter
1 * 6.194 1.30 1.62041 60.3 5.61
2 * 2.200 2.67 4.05
3 * 6.346 1.40 1.59240 68.3 3.96
4 * -26.449 0.50 3.86
5 * -41.518 0.80 1.80518 25.4 3.76
6 * 14.348 0.10 3.77
7 (aperture) ∞ 0.10 3.75
8 * 4.979 1.20 1.64000 60.1 3.89
9 * -7.878 3.48 3.82
10 * -7.653 1.80 1.59240 68.3 4.02
11 * -7.611 0.50 4.64
12 * -12.407 1.00 1.84666 23.8 4.60
13 * 52.342 5.45
Image plane ∞

Aspheric data
First side
K = -5.86699e + 000 A 4 = -8.96118e-004 A 6 = 1.23087e-006
Second side
K = -1.11462e + 000 A 4 = 5.18382e-003 A 6 = 7.47793e-004
Third side
K = 2.23083e + 000 A 4 = 2.29189e-003 A 6 = 9.11689e-005
Fourth side
K = 3.98608e + 001 A 4 = -1.07969e-003 A 6 = -1.03444e-004
Fifth surface
K = -2.66134e + 001 A 4 = 2.91291e-004 A 6 = -5.80559e-004
Side 6
K = 3.25993e + 001 A 4 = 1.05064e-003 A 6 = -3.89850e-004
Side 8
K = -3.31035e + 000 A 4 = 9.36039e-004 A 6 = 4.48060e-005
9th page
K = 1.62170e + 000 A 4 = -1.30807e-004 A 6 = 1.97962e-004
10th page
K = -1.84308e + 001 A 4 = -9.71624e-003 A 6 = 5.68105e-004
Eleventh
K = -2.88780e + 001 A 4 = -1.01570e-002 A 6 = 1.38466e-004
Side 12
K = -9.00000e + 001 A 4 = -1.47730e-002 A 6 = -1.20913e-005
Thirteenth
K = -5.42659e + 001 A 4 = -8.67083e-003 A 6 = 3.90008e-004

Various data
Focal length 7.50
F-number 2.88
Half angle of view 27.32
Image height 3.88
Lens length 17.91
BF 3.06
Entrance pupil position 4.05
Exit pupil position -4.94
Front principal point position 4.52
Rear principal point position -4.44

Single lens data
Lens Start surface Focal length
1 1 -6.28
2 3 8.78
3 5 -13.16
4 8 4.95
5 10 138.07
6 12 -11.76

Tele-middle optics
Unit: mm
Surface data
Surface number rd nd νd Effective diameter
1 * -14.915 1.30 1.62041 60.3 6.70
2 * 69.090 2.67 6.19
3 * 5.672 1.40 1.59240 68.3 5.30
4 * -7.487 0.50 5.08
5 * -9.447 0.80 1.80518 25.4 4.14
6 * -22.100 0.10 3.74
7 (aperture) ∞ 0.10 3.67
8 * 3.929 1.20 1.64000 60.1 3.60
9 * 2.484 3.48 3.41
10 * 6.037 1.80 1.59240 68.3 6.30
11 * 21.097 0.50 6.25
12 * 13.374 1.00 1.84666 23.8 6.25
13 * 6.940 5.99
Image plane ∞

Aspheric data
First side
K = 3.23218e + 000 A 4 = -3.05400e-004 A 6 = 4.53521e-005
Second side
K = -9.00000e + 001 A 4 = 1.59130e-004 A 6 = 5.15981e-005
Third side
K = -1.64767e + 000 A 4 = 2.27739e-003 A 6 = -6.09668e-006
Fourth side
K = -7.51140e + 000 A 4 = 2.83658e-004 A 6 = 7.41960e-005
Fifth surface
K = 8.77500e + 000 A 4 = 1.90647e-004 A 6 = 7.09546e-004
Side 6
K = 7.06211e + 000 A 4 = -1.29880e-003 A 6 = 6.54962e-004
Side 8
K = -7.69118e-001 A 4 = -1.53255e-003 A 6 = -1.23634e-004
9th page
K = -9.82229e-001 A 4 = 2.51720e-004 A 6 = -1.95089e-004
10th page
K = -4.39310e + 000 A 4 = 2.05043e-003 A 6 = -1.72957e-005
Eleventh
K = 3.04604e + 001 A 4 = 9.28199e-004 A 6 = -1.81115e-004
Side 12
K = 5.49088e + 000 A 4 = -1.18023e-003 A 6 = 3.43330e-005
Thirteenth
K = 2.34608e + 000 A 4 = -3.33103e-003 A 6 = 1.61864e-004

Various data
Focal length 10.50
F-number 2.88
Half angle of view 20.26
Image height 3.88
Lens length 17.91
BF 3.06
Entrance pupil position 4.64
Exit pupil position -5.12
Front principal point position 1.66
Rear principal point position -7.44

Single lens data
Lens Start surface Focal length
1 1 -19.66
2 3 5.67
3 5 -21.09
4 8 -15.62
5 10 13.67
6 12 -18.35

Tele optical system
Unit: mm
Surface data
Surface number rd nd νd Effective diameter
1 * 36.807 1.30 1.62041 60.3 7.62
2 * -41.677 2.67 7.15
3 * 8.270 1.40 1.59240 68.3 5.38
4 * -7.910 0.50 4.98
5 * -9.885 0.80 1.80518 25.4 4.08
6 * -54.358 0.10 3.71
7 (aperture) ∞ 0.10 3.66
8 * 5.124 1.20 1.64000 60.1 3.45
9 * 2.412 3.48 3.17
10 * 10.272 1.80 1.59240 68.3 6.40
11 * 16.743 0.50 6.42
12 * 9.281 1.00 1.84666 23.8 6.58
13 * 10.176 6.54
Image plane ∞

Aspheric data
First side
K = -9.00000e + 001 A 4 = 3.25623e-005 A 6 = 1.37046e-005
Second side
K = 6.54916e + 001 A 4 = 9.61894e-004 A 6 = 1.97095e-005
Third side
K = -5.20341e-001 A 4 = 2.82359e-003 A 6 = 1.62204e-005
Fourth side
K = -1.07451e + 001 A 4 = 1.35610e-003 A 6 = -1.75272e-005
Fifth surface
K = 9.36306e + 000 A 4 = 3.65867e-003 A 6 = 3.57432e-004
Side 6
K = -1.69149e + 001 A 4 = 1.12483e-003 A 6 = 6.25155e-004
Side 8
K = -6.38373e-001 A 4 = -3.54965e-003 A 6 = 1.25622e-006
9th page
K = -9.28207e-001 A 4 = -1.83232e-003 A 6 = -1.58220e-004
10th page
K = 6.03894e-001 A 4 = 1.13103e-003 A 6 = 4.35985e-005
Eleventh
K = -8.36796e + 000 A 4 = 9.48431e-004 A 6 = -5.05453e-005
Side 12
K = -2.24043e + 000 A 4 = -9.07528e-004 A 6 = 9.61281e-007
Thirteenth
K = 6.10242e + 000 A 4 = -2.60010e-003 A 6 = 1.92825e-005

Various data
Focal length 15.00
F-number 2.88
Half angle of view 14.48
Image height 3.88
Lens length 17.91
BF 3.06
Entrance pupil position 6.90
Exit pupil position -6.27
Front principal point position -2.20
Rear principal point position -11.94

Single lens data
Lens Start surface Focal length
1 1 31.71
2 3 7.05
3 5 -15.13
4 8 -8.61
5 10 40.66
6 12 82.43

(Numerical example 2)
Wide optical system
Unit: mm
Surface data
Surface number rd nd νd Effective diameter
1 * -42.834 1.30 1.72916 54.7 5.77
2 * 3.863 1.95 4.01
3 * 10.061 1.40 1.59240 68.3 3.55
4 * -254.805 0.97 3.15
5 (aperture) ∞ 0.20 3.07
6 * 60.619 0.80 1.80518 25.4 3.13
7 * 15.022 0.20 3.34
8 * 12.585 1.20 1.64000 60.1 3.68
9 * -6.869 1.35 4.07
10 * 6.405 1.80 1.59240 68.3 5.04
11 * -9.227 1.28 5.17
12 * 42.308 1.00 1.84666 23.8 4.47
13 * 4.861 4.27
Image plane ∞

Aspheric data
First side
K = -9.00000e + 001 A 4 = 1.68209e-003 A 6 = 2.18378e-005
Second side
K = 1.56201e + 000 A 4 = 2.31919e-004 A 6 = 2.49857e-005
Third side
K = 1.56344e + 001 A 4 = -2.30989e-003 A 6 = -3.90307e-004
Fourth side
K = -9.00000e + 001 A 4 = 8.76797e-004 A 6 = -3.09096e-004
Side 6
K = -9.00000e + 001 A 4 = 7.22417e-004 A 6 = 1.69814e-004
Surface 7
K = -5.28938e + 001 A 4 = 3.20245e-003 A 6 = 2.63310e-004
Side 8
K = -3.31531e + 001 A 4 = 3.32480e-003 A 6 = -1.76152e-005
9th page
K = -1.14135e + 000 A 4 = -8.15775e-004 A 6 = 3.19305e-006
10th page
K = -8.67401e + 000 A 4 = 2.26418e-003 A 6 = -3.63267e-004
Eleventh
K = 2.68548e + 000 A 4 = -2.16758e-003 A 6 = -4.66522e-005
Side 12
K = 9.00000e + 001 A 4 = -8.67976e-003 A 6 = 6.91067e-004
Thirteenth
K = -5.35623e + 000 A 4 = 9.73749e-004 A 6 = 7.24657e-004

Various data
Focal length 5.20
F-number 2.88
Half angle of view 36.69
Image height 3.88
Lens length 18.00
BF 4.55
Entrance pupil position 2.89
Exit pupil position -4.03
Front principal point position 4.94
Rear principal point position -0.65

Single lens data
Lens Start surface Focal length
1 1 -4.80
2 3 16.37
3 6 -25.00
4 8 7.11
5 10 6.67
6 12 -6.57

Wide middle optical system
Unit: mm
Surface data
Surface number rd nd νd Effective diameter
1 * 7.207 1.30 1.72916 54.7 5.93
2 * 4.000 1.95 4.48
3 * 7.876 1.40 1.59240 68.3 3.66
4 * 4.755 0.97 3.02
5 (aperture) ∞ 0.20 3.10
6 * 11.962 0.80 1.80518 25.4 3.19
7 * 5.782 0.20 3.60
8 * 7.462 1.20 1.64000 60.1 4.06
9 * -5.083 1.35 4.34
10 * 4.011 1.80 1.59240 68.3 5.60
11 * 7.357 1.28 5.12
12 * 12.505 1.00 1.84666 23.8 5.07
13 * 5.927 4.87
Image plane ∞

Aspheric data
First side
K = -4.55173e + 000 A 4 = 1.04524e-003 A 6 = 5.22673e-005
Second side
K = 1.07655e + 000 A 4 = -2.68944e-003 A 6 = 1.76360e-004
Third side
K = -5.98889e + 000 A 4 = -7.72514e-003 A 6 = 4.93606e-004
Fourth side
K = -6.75596e + 000 A 4 = -4.98007e-003 A 6 = 5.07961e-004
Side 6
K = -7.89069e + 001 A 4 = -2.69850e-003 A 6 = 3.52609e-004
Surface 7
K = -2.27576e + 001 A 4 = 1.42455e-003 A 6 = -1.01831e-005
Side 8
K = -3.33768e + 001 A 4 = 4.50455e-003 A 6 = -2.18686e-004
9th page
K = -2.68795e-002 A 4 = -2.95824e-004 A 6 = 1.05748e-004
10th page
K = -2.20833e + 000 A 4 = 3.37019e-003 A 6 = 3.11853e-005
Eleventh
K = 1.71227e + 000 A 4 = -4.49146e-005 A 6 = 1.17908e-004
Side 12
K = 5.70869e-001 A 4 = -3.54385e-003 A 6 = 2.46582e-004
Thirteenth
K = -1.78719e + 000 A 4 = -7.83362e-004 A 6 = 3.59345e-004

Various data
Focal length 7.50
F-number 2.88
Half angle of view 27.32
Image height 3.88
Lens length 18.00
BF 4.55
Entrance pupil position 4.41
Exit pupil position -4.23
Front principal point position 5.51
Rear principal point position -2.95

Single lens data
Lens Start surface Focal length
1 1 -14.87
2 3 -24.32
3 6 -14.75
4 8 4.91
5 10 12.41
6 12 -14.31

Tele-middle optics
Unit: mm
Surface data
Surface number rd nd νd Effective diameter
1 * -15.000 1.30 1.72916 54.7 5.68
2 * 17.960 1.95 5.41
3 * 6.796 1.40 1.59240 68.3 5.21
4 * -7.146 0.97 5.03
5 (aperture) ∞ 0.20 4.07
6 * -14.236 0.80 1.80518 25.4 4.05
7 * -98.169 0.20 4.23
8 * 5.334 1.20 1.64000 60.1 4.68
9 * 4.199 1.35 4.28
10 * 5.372 1.80 1.59240 68.3 5.33
11 * 9.899 1.28 5.01
12 * 5.128 1.00 1.84666 23.8 5.36
13 * 3.875 5.42
Image plane ∞

Aspheric data
First side
K = 8.00699e + 000 A 4 = -1.47327e-003 A 6 = 7.30169e-005
Second side
K = -3.65224e + 001 A 4 = -5.44314e-004 A 6 = 5.29084e-005
Third side
K = -3.27830e + 000 A 4 = 9.82143e-004 A 6 = 1.93818e-005
Fourth side
K = -1.26439e + 000 A 4 = 1.25692e-003 A 6 = -7.42342e-006
Side 6
K = -5.37243e + 000 A 4 = 1.00930e-003 A 6 = 8.59265e-005
Surface 7
K = -9.00000e + 001 A 4 = 2.44487e-003 A 6 = 1.02366e-004
Side 8
K = -5.01056e + 000 A 4 = 8.62296e-003 A 6 = 6.49491e-005
9th page
K = 6.14970e-001 A 4 = 2.64291e-003 A 6 = 4.35217e-004
10th page
K = 7.18277e-001 A 4 = 3.35315e-003 A 6 = -1.54486e-004
Eleventh
K = 1.51189e + 000 A 4 = 5.61145e-003 A 6 = -1.70734e-004
Side 12
K = 9.04194e-001 A 4 = -6.62979e-003 A 6 = -1.55750e-004
Thirteenth
K = -6.57254e-003 A 4 = -9.21593e-003 A 6 = 2.82444e-005

Various data
Focal length 10.50
F-number 2.88
Half angle of view 20.26
Image height 3.88
Lens length 18.00
BF 4.55
Entrance pupil position 3.62
Exit pupil position -4.01
Front principal point position 1.25
Rear principal point position -5.95

Single lens data
Lens Start surface Focal length
1 1 -11.03
2 3 6.11
3 6 -20.77
4 8 -52.55
5 10 17.27
6 12 -29.54

Tele optical system
Unit: mm
Surface data
Surface number rd nd νd Effective diameter
1 * 33.245 1.30 1.72916 54.7 6.83
2 * 144.445 1.95 6.48
3 * 12.849 1.40 1.59240 68.3 5.67
4 * -9.797 0.97 5.38
5 (aperture) ∞ 0.20 4.27
6 * -13.239 0.80 1.80518 25.4 4.27
7 * 60.932 0.20 4.27
8 * 5.788 1.20 1.64000 60.1 4.52
9 * 4.534 1.35 4.21
10 * 5.805 1.80 1.59240 68.3 5.00
11 * 4.659 1.28 5.17
12 * 5.752 1.00 1.84666 23.8 6.01
13 * 6.534 5.99
Image plane ∞

Aspheric data
First side
K = -8.19456e + 001 A 4 = -5.31853e-004 A 6 = -7.42778e-006
Second side
K = -9.00000e + 001 A 4 = 9.14133e-005 A 6 = 1.43749e-005
Third side
K = -1.08476e + 001 A 4 = 1.16459e-003 A 6 = -1.83197e-005
Fourth side
K = 9.72251e-001 A 4 = 1.35326e-004 A 6 = 7.81170e-006
Side 6
K = -6.39115e + 001 A 4 = 2.15637e-003 A 6 = 1.05300e-005
Surface 7
K = -9.00000e + 001 A 4 = 4.80467e-003 A 6 = 7.24665e-005
Side 8
K = -1.02518e + 001 A 4 = 6.60769e-003 A 6 = 1.61089e-004
9th page
K = 1.25753e + 000 A 4 = -2.95145e-005 A 6 = 3.76702e-004
10th page
K = -1.25455e + 000 A 4 = -1.16553e-003 A 6 = 2.81324e-005
Eleventh
K = -4.99122e + 000 A 4 = 1.63656e-003 A 6 = -1.60913e-004
Side 12
K = -5.81002e-001 A 4 = -3.88415e-003 A 6 = 1.65437e-004
Thirteenth
K = 1.22656e + 000 A 4 = -4.86561e-003 A 6 = 1.16617e-004

Various data
Focal length 15.00
F-number 2.88
Half angle of view 14.48
Image height 3.88
Lens length 18.00
BF 4.55
Entrance pupil position 5.25
Exit pupil position -4.71
Front principal point position -4.04
Rear principal point position -10.45

Single lens data
Lens Start surface Focal length
1 1 58.93
2 3 9.60
3 6 -13.44
4 8 -52.19
5 10 -95.85
6 12 35.77

(Numerical example 3)
Wide optical system
Unit: mm
Surface data
Surface number rd nd νd Effective diameter
1 * -278.039 1.15 1.69680 55.5 7.35
2 * 6.000 2.75 5.56
3 * -13.838 1.55 1.59240 68.3 4.28
4 * -4.335 0.50 4.19
5 * 5.392 0.80 1.80518 25.4 2.95
6 * 3.393 0.43 2.55
7 (aperture) ∞ 1.56 2.59
8 * -20.462 1.20 1.64000 60.1 4.26
9 * -3.385 0.59 4.61
10 * 11.995 1.65 1.59240 68.3 5.01
11 * -11.271 1.37 5.25
12 * -9.279 1.00 1.84666 23.8 4.65
13 * 9.946 4.76
Image plane ∞

Aspheric data
First side
K = -1.51839e + 001 A 4 = 6.01752e-004 A 6 = 2.86999e-005
Second side
K = 1.96510e + 000 A 4 = -3.86322e-004 A 6 = -1.66133e-005
Third side
K = 2.27610e + 001 A 4 = -8.92074e-004 A 6 = -6.83728e-004
Fourth side
K = -7.29708e + 000 A 4 = -6.23057e-003 A 6 = -1.69117e-004
Fifth surface
K = -9.67598e-001 A 4 = -7.68250e-003 A 6 = -2.57460e-004
Side 6
K = -4.96656e + 000 A 4 = 7.15623e-004 A 6 = 8.72707e-006
Side 8
K = -6.04476e-001 A 4 = -1.54465e-003 A 6 = 2.57992e-004
9th page
K = -1.00603e + 000 A 4 = -2.23851e-003 A 6 = -9.07492e-005
10th page
K = -3.55816e + 001 A 4 = 7.39878e-005 A 6 = -4.05799e-004
Eleventh
K = 3.15494e + 000 A 4 = -5.45664e-003 A 6 = 4.27810e-005
Side 12
K = -1.09737e + 001 A 4 = -4.17651e-003 A 6 = 3.03530e-004
Thirteenth
K = -1.89271e + 001 A 4 = 3.28962e-003 A 6 = 1.01426e-004

Various data
Focal length 5.20
F-number 2.88
Half angle of view 36.69
Image height 3.88
Lens length 18.00
BF 3.45
Entrance pupil position 3.90
Exit pupil position -4.05
Front principal point position 5.49
Rear principal point position -1.75

Single lens data
Lens Start surface Focal length
1 1 -8.41
2 3 10.05
3 5 -13.83
4 8 6.17
5 10 10.07
6 12 -5.54

Wide middle optical system
Unit: mm
Surface data
Surface number rd nd νd Effective diameter
1 * 246.153 1.15 1.69680 55.5 5.74
2 * 6.000 2.75 4.83
3 * 27.183 1.55 1.59240 68.3 4.40
4 * -4.038 0.50 4.17
5 * 5.849 0.80 1.80518 25.4 3.40
6 * 3.626 0.43 3.20
7 (aperture) ∞ 1.56 3.18
8 * -30.741 1.20 1.64000 60.1 3.90
9 * -6.722 0.59 4.13
10 * 5.066 1.65 1.59240 68.3 4.77
11 * 6.280 1.37 4.45
12 * 18.583 1.00 1.84666 23.8 4.57
13 * 6.571 (variable) 4.88
Image plane ∞

Aspheric data
First side
K = 9.00000e + 001 A 4 = -8.39451e-004 A 6 = 2.35285e-005
Second side
K = -5.34082e + 000 A 4 = 4.03329e-003 A 6 = -1.66191e-005
Third side
K = 6.33715e + 001 A 4 = 2.67153e-003 A 6 = -1.61664e-004
Fourth side
K = -5.22262e + 000 A 4 = -1.37728e-003 A 6 = 2.77794e-005
Fifth surface
K = -2.62749e + 000 A 4 = -9.55365e-003 A 6 = 2.40785e-004
Side 6
K = -5.84224e + 000 A 4 = -6.94200e-003 A 6 = 1.86444e-004
Side 8
K = 9.00000e + 001 A 4 = 8.35122e-003 A 6 = 1.58826e-004
9th page
K = -1.03311e + 001 A 4 = 3.42515e-003 A 6 = 6.46597e-004
10th page
K = -3.10477e + 000 A 4 = 3.57728e-003 A 6 = 1.57487e-004
Eleventh
K = -3.74031e + 000 A 4 = -8.18470e-004 A 6 = 4.37137e-004
Side 12
K = -9.00000e + 001 A 4 = -7.97372e-003 A 6 = 3.60044e-004
Thirteenth
K = -1.19739e + 001 A 4 = -3.83591e-003 A 6 = 4.12780e-004

Various data
Focal length 7.50
F-number 2.88
Half angle of view 27.32
Image height 3.88
Lens length 18.00
BF 3.45
Entrance pupil position 4.17
Exit pupil position -3.91
Front principal point position 4.03
Rear principal point position -4.05

Single lens data
Lens Start surface Focal length
1 1 -8.84
2 3 6.05
3 5 -14.11
4 8 13.19
5 10 29.38
6 12 -12.48

Tele-middle optics
Unit: mm
Surface data
Surface number rd nd νd Effective diameter
1 * 42.658 1.15 1.69680 55.5 6.75
2 * 8.092 2.75 6.22
3 * 3.713 1.55 1.59240 68.3 5.17
4 * -32.881 0.50 4.75
5 * 5.257 0.80 1.80518 25.4 3.65
6 * 3.116 0.43 3.12
7 (aperture) ∞ 1.56 3.11
8 * -5.288 1.20 1.64000 60.1 3.84
9 * -4.931 0.59 4.56
10 * 5.092 1.65 1.59240 68.3 5.88
11 * 5.827 1.37 5.27
12 * 11.995 1.00 1.84666 23.8 5.52
13 * 7.874 5.71
Image plane ∞

Aspheric data
First side
K = -2.66383e + 001 A 4 = -2.18872e-003 A 6 = 6.31429e-005
Second side
K = 2.08397e + 000 A 4 = -3.26063e-003 A 6 = 2.84905e-005
Third side
K = 1.10583e-001 A 4 = 2.75665e-004 A 6 = -1.47214e-005
Fourth side
K = -6.74747e + 001 A 4 = 3.16266e-003 A 6 = -8.64586e-005
Fifth surface
K = -1.66566e + 000 A 4 = -3.71526e-003 A 6 = 1.34066e-004
Side 6
K = 5.41702e-001 A 4 = -9.62595e-003 A 6 = 1.70734e-004
Side 8
K = 3.16668e + 000 A 4 = 4.62242e-003 A 6 = 1.81580e-004
9th page
K = 1.69035e + 000 A 4 = 5.27071e-003 A 6 = 1.69765e-004
10th page
K = 1.13673e + 000 A 4 = 3.22950e-006 A 6 = 2.93792e-005
Eleventh
K = 2.99335e + 000 A 4 = -2.40678e-003 A 6 = 7.59485e-005
Side 12
K = -9.39873e + 000 A 4 = -2.70967e-003 A 6 = 5.48169e-005
Thirteenth
K = -8.61644e + 000 A 4 = -1.90799e-003 A 6 = 9.68595e-005

Various data
Focal length 10.50
F-number 2.88
Half angle of view 20.26
Image height 3.88
Lens length 18.00
BF 3.45
Entrance pupil position 5.41
Exit pupil position -4.58
Front principal point position 2.18
Rear principal point position -7.05

Single lens data
Lens Start surface Focal length
1 1 -14.53
2 3 5.72
3 5 -11.40
4 8 49.39
5 10 37.12
6 12 -30.46

Tele optical system
Unit: mm
Surface data
Surface number rd nd νd Effective diameter
1 * 8.009 1.15 1.69680 55.5 7.69
2 * 7.508 2.75 7.04
3 * 3.702 1.55 1.59240 68.3 5.20
4 * 88.710 0.50 4.61
5 * 7.031 0.80 1.80518 25.4 3.83
6 * 3.311 0.43 3.16
7 (aperture) ∞ 1.56 3.15
8 * -9.083 1.20 1.64000 60.1 3.62
9 * 25.053 0.59 4.35
10 * 7.503 1.65 1.59240 68.3 5.50
11 * 15.709 1.37 5.83
12 * 5.989 1.00 1.84666 23.8 6.90
13 * 7.775 6.75
Image plane ∞

Aspheric data
First side
K = 5.90804e-001 A 4 = -3.95356e-004 A 6 = -1.87359e-005
Second side
K = 9.02179e-001 A 4 = -6.682247e-004 A 6 = -4.35238e-005
Third side
K = 7.86019e-002 A 4 = 1.00348e-004 A 6 = 5.36889e-006
Fourth side
K = 9.00000e + 001 A 4 = 2.36995e-003 A 6 = -5.00552e-005
Fifth surface
K = -5.90637e + 000 A 4 = -5.74098e-004 A 6 = 1.24577e-004
Side 6
K = 7.11639e-001 A 4 = -6.13172e-003 A 6 = 2.01076e-004
Side 8
K = 9.12926e + 000 A 4 = 5.29083e-003 A 6 = -8.33091e-004
9th page
K = 9.00002e + 001 A 4 = 6.28003e-003 A 6 = -7.33225e-004
10th page
K = 1.72371e + 000 A 4 = -2.97948e-004 A 6 = -2.54947e-006
Eleventh
K = -6.66245e + 001 A 4 = -1.60347e-003 A 6 = 1.06542e-004
Side 12
K = -3.71090e + 000 A 4 = -1.38172e-003 A 6 = 1.02692e-004
Thirteenth
K = 1.93714e + 000 A 4 = -3.41454e-003 A 6 = 1.05240e-004

Various data
Focal length 15.00
F-number 2.88
Half angle of view 14.48
Image height 3.88
Lens length 18.00
BF 3.45
Entrance pupil position 8.15
Exit pupil position -6.16
Front principal point position -0.26
Rear principal point position -11.55

Single lens data
Lens Start surface Focal length
1 1 -2975.24
2 3 6.48
3 5 -8.60
4 8 -10.28
5 10 22.56
6 12 24.50

(Numerical example 4)
Wide optical system
Unit: mm
Surface data
Surface number rd nd νd Effective diameter
1 * -15.549 1.70 1.62041 60.3 9.32
2 * 5.297 6.00 5.94
3 * -21.574 1.80 1.49700 81.5 4.31
4 * -6.160 0.50 4.30
5 * -60.682 0.80 1.84666 23.8 3.65
6 * -247.402 1.26 3.51
7 (aperture) ∞ 2.16 3.60
8 * 7.864 1.20 1.59240 68.3 5.23
9 * -65.198 3.81 5.42
10 * 7.418 2.20 1.49700 81.5 6.38
11 * -4.540 0.50 6.37
12 * -2.561 1.00 1.84666 23.8 5.89
13 * -5.241 5.68
Image plane ∞

Aspheric data
First side
K = -9.00000e + 001 A 4 = 2.40773e-003 A 6 = -1.00607e-004 A 8 = 2.29263e-006 A10 = -2.45268e-008
Second side
K = -2.33052e + 000 A 4 = 8.76770e-003 A 6 = -1.12324e-004 A 8 = 1.59787e-005 A10 = -3.95043e-007
Third side
K = -7.34310e + 001 A 4 = -4.21675e-003 A 6 = -5.01453e-005 A 8 = 2.53959e-005 A10 = -1.23794e-005
Fourth side
K = -3.31004e-001 A 4 = -4.70929e-003 A 6 = 9.40943e-004 A 8 = -2.39785e-004 A10 = 1.39342e-005
Fifth surface
K = -9.00000e + 001 A 4 = 1.91427e-003 A 6 = 9.94935e-004 A 8 = -2.72938e-004 A10 = 1.79532e-005
Side 6
K = -9.00000e + 001 A 4 = 3.13282e-003 A 6 = 4.08003e-004 A 8 = -1.04956e-004 A10 = 3.69894e-006
Side 8
K = -3.92356e + 000 A 4 = 6.68721e-005 A 6 = -1.81875e-004 A 8 = 1.27528e-005 A10 = -7.29409e-007
9th page
K = -1.52035e + 001 A 4 = -8.29437e-004 A 6 = -1.82468e-004 A 8 = 1.31931e-005 A10 = -5.81891e-007
10th page
K = 4.69580e-001 A 4 = 8.49677e-005 A 6 = -1.91505e-004 A 8 = -1.85306e-007 A10 = 3.24269e-007
Eleventh
K = -1.29407e + 001 A 4 = -2.00018e-003 A 6 = -1.00026e-004 A 8 = 4.40120e-006 A10 = 8.21368e-008
Side 12
K = -5.27817e + 000 A 4 = 6.66070e-003 A 6 = -4.16248e-004 A 8 = -4.05938e-006 A10 = 7.85917e-007
Thirteenth
K = -1.56342e + 001 A 4 = 9.46117e-003 A 6 = 1.14746e-004 A 8 = -5.53169e-005 A10 = 2.24424e-006

Various data
Focal length 4.40
F-number 2.88
Half angle of view 41.37
Image height 3.88
Total lens length 27.87
BF 4.93
Entrance pupil position 4.54
Exit pupil position -11.77
Front principal point 7.78
Rear principal point position 0.53

Single lens data
Lens Start surface Focal length
1 1 -6.18
2 3 16.70
3 5 -95.15
4 8 11.92
5 10 6.04
6 12 -7.13

Wide middle optical system
Unit: mm
Surface data
Surface number rd nd νd Effective diameter
1 * -6.311 1.70 1.62041 60.3 8.53
2 * -15.124 6.00 6.79
3 * -16.852 1.80 1.49700 81.5 4.62
4 * -8.778 0.50 4.41
5 * -23.424 0.80 1.84666 23.8 4.40
6 * -85.378 1.26 4.43
7 (aperture) ∞ 2.16 4.61
8 * 5.516 1.20 1.59240 68.3 5.22
9 * -26.626 3.81 5.23
10 * -24.787 2.20 1.49700 81.5 4.87
11 * -4.618 0.50 4.96
12 * -2.450 1.00 1.84666 23.8 4.85
13 * -4.979 5.39
Image plane ∞

Aspheric data
First side
K = -6.14800e + 000 A 4 = 3.70943e-003 A 6 = -1.19809e-004 A 8 = 2.73722e-006 A10 = -2.86757e-008
Second side
K = -4.61616e + 001 A 4 = 4.57808e-003 A 6 = 4.81717e-005 A 8 = -4.17683e-006 A10 = 2.31980e-007
Third side
K = -6.71054e + 001 A 4 = -1.25502e-003 A 6 = 9.36993e-005 A 8 = -1.48143e-005 A10 = -5.60547e-007
Fourth side
K = 4.63442e-001 A 4 = -3.77281e-003 A 6 = 9.89592e-004 A 8 = -1.41886e-004 A10 = 6.01938e-006
Fifth surface
K = 6.34661e + 001 A 4 = -2.18170e-003 A 6 = 1.43846e-003 A 8 = -1.94467e-004 A10 = 1.04358e-005
Side 6
K = 9.00000e + 001 A 4 = -5.67998e-004 A 6 = 6.86542e-004 A 8 = -8.66547e-005 A10 = 4.00686e-006
Side 8
K = -1.87501e + 000 A 4 = 1.01603e-003 A 6 = -7.41257e-005 A 8 = 1.05915e-005 A10 = -8.59893e-007
9th page
K = -7.57858e + 001 A 4 = -2.99491e-004 A 6 = -4.45123e-005 A 8 = 7.88147e-006 A10 = -7.18324e-007
10th page
K = 6.06182e + 001 A 4 = -5.70802e-004 A 6 = 6.31739e-005 A 8 = -3.12933e-005 A10 = 3.63305e-006
Eleventh
K = -8.53567e-001 A 4 = 2.29916e-003 A 6 = -4.31596e-005 A 8 = -4.69019e-005 A10 = 2.10631e-006
Side 12
K = -1.63511e + 000 A 4 = 5.28029e-003 A 6 = -2.97920e-004 A 8 = 2.96250e-006 A10 = -2.68364e-006
Thirteenth
K = -3.21078e + 000 A 4 = 4.29280e-003 A 6 = -5.56892e-005 A 8 = 1.00908e-005 A10 = -1.04948e-006

Various data
Focal length 8.10
F-number 2.88
Half angle of view 25.57
Image height 3.88
Total lens length 27.87
BF 4.93
Entrance pupil position 6.21
Exit pupil position -7.59
Front principal point position 9.07
Rear principal point position -3.17

Single lens data
Lens Start surface Focal length
1 1 -18.85
2 3 34.32
3 5 -38.35
4 8 7.82
5 10 11.02
6 12 -6.96

Tele-middle optics
Unit: mm
Surface data
Surface number rd nd νd Effective diameter
1 * 4154.388 1.70 1.62041 60.3 9.82
2 * 30.158 6.00 9.27
3 * 7.145 1.80 1.49700 81.5 7.31
4 * -37.728 0.50 6.89
5 * -19.914 0.80 1.84666 23.8 6.39
6 * -37.975 1.26 5.88
7 (aperture) ∞ 2.16 4.95
8 * 4.833 1.20 1.59240 68.3 4.25
9 * 3.773 3.81 4.11
10 * 7.364 2.20 1.49700 81.5 6.12
11 * 74.404 0.50 5.89
12 * 4.514 1.00 1.84666 23.8 5.98
13 * 3.251 5.89
Image plane ∞

Aspheric data
First side
K = 9.00000e + 001 A 4 = -1.24610e-004 A 6 = -4.39173e-006 A 8 = 1.38407e-007 A10 = -1.64963e-010
Second side
K = -1.04824e + 001 A 4 = -1.76004e-005 A 6 = -8.98575e-006 A 8 = 2.94871e-007 A10 = -1.37615e-009
Third side
K = -4.46949e + 000 A 4 = 1.98279e-003 A 6 = -5.84120e-005 A 8 = 1.69123e-006 A10 = 3.04561e-009
Fourth side
K = 5.46418e + 001 A 4 = 1.83346e-003 A 6 = -1.23043e-004 A 8 = 4.22163e-006 A10 = -7.99090e-009
Fifth surface
K = 6.34841e + 000 A 4 = 2.99260e-003 A 6 = -8.63827e-005 A 8 = 5.35571e-007 A10 = 1.25070e-007
Side 6
K = 9.00000e + 001 A 4 = 2.60155e-003 A 6 = 6.19116e-006 A 8 = -3.70773e-006 A10 = 3.38238e-007
Side 8
K = 1.72200e-001 A 4 = -1.75958e-003 A 6 = -2.06213e-004 A 8 = 2.14482e-006 A10 = 6.85163e-007
9th page
K = -3.10596e-001 A 4 = -2.00205e-003 A 6 = -4.63580e-004 A 8 = 1.96481e-005 A10 = 6.90382e-007
10th page
K = 9.19367e-001 A 4 = 4.32065e-003 A 6 = -3.08400e-004 A 8 = 1.26359e-005 A10 = -5.30893e-007
Eleventh
K = 2.29759e + 001 A 4 = 7.50550e-003 A 6 = -2.91010e-004 A 8 = -8.96536e-006 A10 = 3.41671e-007
Side 12
K = -1.58103e-002 A 4 = -8.58579e-003 A 6 = 1.48904e-004 A 8 = -6.94785e-006 A10 = 5.72281e-007
Thirteenth
K = -2.83628e + 000 A 4 = -6.33802e-003 A 6 = 3.87565e-004 A 8 = -1.64786e-005 A10 = 8.57651e-007
Various data
Focal length 15.00
F-number 2.88
Half angle of view 14.48
Image height 3.88
Total lens length 27.87
BF 4.93
Entrance pupil position 9.64
Exit pupil position -6.52
Front principal point position 5.00
Rear principal point position -10.07

Single lens data
Lens Start surface Focal length
1 1 -48.97
2 3 12.25
3 5 -50.48
4 8 -50.18
5 10 16.27
6 12 -21.56

Tele optical system
Unit: mm
Surface data
Surface number rd nd νd Effective diameter
1 * 16.751 1.70 1.62041 60.3 12.59
2 * 210.161 6.00 12.38
3 * 8.298 1.80 1.49700 81.5 7.39
4 * -81.483 0.50 6.66
5 * -16.474 0.80 1.84666 23.8 6.35
6 * 1466.568 1.26 5.76
7 (aperture) ∞ 2.16 5.23
8 * 6.911 1.20 1.59240 68.3 4.20
9 * 3.263 3.81 4.09
10 * 12.252 2.20 1.49700 81.5 6.72
11 * 16.214 0.50 6.66
12 * 8.301 1.00 1.84666 23.8 6.99
13 * 12.536 6.93
Image plane ∞

Aspheric data
First side
K = -1.55876e + 000 A 4 = 2.92366e-005 A 6 = -1.09631e-006 A 8 = -2.08632e-008 A10 = -3.05929e-010
Second side
K = -8.25615e + 001 A 4 = 8.52712e-005 A 6 = -3.92623e-006 A 8 = 1.40034e-008 A10 = -2.69295e-010
Third side
K = -3.67293e + 000 A 4 = 2.26440e-003 A 6 = -4.59917e-005 A 8 = 1.04881e-006 A10 = -6.76070e-008
Fourth side
K = -8.25640e + 001 A 4 = 2.95461e-003 A 6 = -1.69702e-004 A 8 = 2.78863e-006 A10 = -9.81982e-009
Fifth surface
K = -8.54818e + 000 A 4 = 3.23331e-003 A 6 = -6.52295e-005 A 8 = 2.60563e-007 A10 = 2.06459e-008
Side 6
K = 9.00000e + 001 A 4 = 2.84444e-003 A 6 = 5.54409e-005 A 8 = -2.01728e-006 A10 = 1.47975e-008
Side 8
K = 9.01024e-001 A 4 = -3.18032e-003 A 6 = 1.87699e-005 A 8 = 1.35237e-006 A10 = 4.20761e-007
9th page
K = -5.97311e-001 A 4 = -3.35059e-003 A 6 = -8.80939e-005 A 8 = 3.70614e-005 A10 = -1.59924e-006
10th page
K = 4.33191e + 000 A 4 = 2.20495e-003 A 6 = -1.96480e-004 A 8 = 1.40411e-005 A10 = -1.95281e-007
Eleventh
K = 1.80446e + 001 A 4 = 1.78097e-003 A 6 = -1.22296e-004 A 8 = -3.36184e-006 A10 = 4.67220e-007
Side 12
K = 2.52838e + 000 A 4 = -2.56453e-003 A 6 = 1.27725e-004 A 8 = -3.82035e-006 A10 = -8.84563e-008
Thirteenth
K = 2.03545e + 000 A 4 = -2.86765e-003 A 6 = 1.81150e-004 A 8 = -1.65134e-006 A10 = -1.51589e-007

Various data
Focal length 27.80
F-number 2.88
Half angle of view 7.94
Image height 3.88
Total lens length 27.87
BF 4.93
Entrance pupil position 18.15
Exit pupil position -10.54
Front principal point position -4.00
Rear principal point position -22.87

Single lens data
Lens Start surface Focal length
1 1 29.24
2 3 15.25
3 5 -19.24
4 8 -11.89
5 10 85.17
6 12 26.19

(Numerical example 5)
Wide optical system
Unit: mm
Surface data
Surface number rd nd νd Effective diameter
1 * 7.404 1.30 1.55332 71.7 14.08
2 * 3.200 10.31 9.19
3 -7.045 2.96 1.48749 70.2 5.70
4 -6.679 1.50 5.48
5 (aperture) ∞ 0.50 3.58
6 * 13.012 3.00 1.55332 71.7 3.92
7 -8.146 0.31 4.98
8 -83.682 2.10 1.49700 81.5 5.18
9 -5.101 0.10 5.48
10 31.259 1.71 1.49700 81.5 5.17
11 -6.100 0.80 1.84666 23.8 4.89
12 -12.542 0.10 4.84
13 -27.930 0.70 1.85400 40.4 4.74
14 * 6.238 2.50 4.56
15 ∞ 1.10 1.51633 64.1 6.04
16 ∞ 6.57
Image plane ∞

Aspheric data
First side
K = -5.79997e-001 A 4 = -1.15761e-003 A 6 = 1.54266e-005 A 8 = -8.19803e-008 A10 = -1.10277e-010
Second side
K = -6.05643e-001 A 4 = -1.33299e-003 A 6 = -4.73214e-006 A 8 = -7.39960e-007 A10 = 3.09526e-008
Side 6
K = -5.78386e + 001 A 4 = 9.45634e-004 A 6 = -5.68033e-004 A 8 = 6.51556e-005 A10 = -5.52108e-006
Side 14
K = -4.35595e-001 A 4 = 2.17226e-003 A 6 = 1.20849e-004 A 8 = -4.57029e-006 A10 = 5.79376e-007

Various data
Focal length 4.40
F-number 2.88
Half angle of view 41.37
Image height 3.88
Total lens length 30.60
BF 1.60

Entrance pupil position 7.64
Exit pupil position -7.45
Front principal point position 9.90
Rear principal point position -2.80

Single lens data
Lens Start surface Focal length
1 1 -11.45
2 3 72.17
3 6 9.54
4 8 10.83
5 10 10.43
6 11 -14.88
7 13 -5.91
8 15 0.00

Tele optical system
Unit: mm
Surface data
Surface number rd nd vd Effective diameter
1 * 12.459 2.30 1.55332 71.7 12.65
2 * 55.949 4.21 12.09
3 12.550 0.76 1.72047 34.7 8.55
4 6.251 2.40 1.49700 81.5 7.57
5 15.618 2.41 6.61
6 22.631 1.50 1.67790 55.3 5.73
7 -1218.490 1.50 5.35
8 (aperture) ∞ 1.51 4.61
9 * 43.453 0.70 1.58313 59.4 4.76
10 6.355 3.69 4.77
11 * 7.011 1.90 1.85 135 40.1 7.18
12 9.435 4.01 6.87
13 ∞ 1.10 1.51633 64.1 8.33
14 ∞ 8.46
Image plane ∞

Aspheric data
First side
K = 6.31393e-001 A 4 = -4.37315e-005 A 6 = -1.22774e-007 A 8 = -9.35480e-009 A10 = 3.52194e-011

Second side
K = -3.41126e + 001 A 4 = 5.89862e-005 A 6 = 6.47254e-008 A 8 = -7.02093e-009 A10 = 1.02481e-010

9th page
K = 8.83136e + 001 A 4 = 1.38291e-004 A 6 = -2.27663e-005 A 8 = 2.98008e-006 A10 = -1.66891e-007

Eleventh
K = 0.00000e + 000 A 4 = -1.58771e-004 A 6 = -1.89942e-006 A 8 = 1.81385e-007 A10 = -7.14087e-009

Focal length 27.80
F-number 2.88
Half angle of view 7.94
Image height 3.88
Total lens length 29.60
BF 1.60

Entrance pupil position 26.19
Exit pupil position -11.37
Front principal point position -5.62
Rear principal point position -26.20

Single lens data
Lens Start surface Focal length
1 1 28.43
2 3 -18.21
3 4 19.33
4 6 32.79
5 9 -12.86
6 11 23.57
7 13 0.00

(Numerical example 6)
Wide optical system
Unit: mm

Surface data
Surface number rd nd vd Effective diameter
1 * 6.429 1.00 1.53110 55.9 10.45
2 * 2.669 4.50 7.34
3 * 9.837 2.50 1.53110 55.9 6.99
4 * -98.190 2.69 6.48
5 * -6.284 1.00 1.63550 23.9 4.45
6 * -9.218 1.60 4.20
7 (aperture) ∞ 0.10 3.14
8 * 7.243 2.30 1.53110 55.9 3.38
9 * -10.895 0.10 4.21
10 * 5.553 1.40 1.53110 55.9 4.43
11 * -6.770 0.50 4.34
12 * -9.637 0.75 1.63550 23.9 4.05
13 * 4.578 2.86 3.85
14 ∞ 1.10 1.51633 64.1 5.63
15 ∞ 6.17
Image plane ∞

Aspheric data
First side
K = -7.52241e + 000 A 4 = -7.77610e-004 A 6 = 9.19501e-006 A 8 = 1.03786e-006 A10 = -3.49887e-008 A12 = 3.60174e-010

Second side
K = -5.90705e-001 A 4 = -4.81245e-003 A 6 = 2.77982e-004 A 8 = -2.95230e-005 A10 = 1.68607e-006 A12 = -4.23676e-008

Third side
K = -2.62163e + 001 A 4 = 3.89577e-003 A 6 = -3.51883e-004 A 8 = 2.72508e-005 A10 = -1.45133e-006 A12 = 2.74768e-008

Fourth side
K = 8.99414e + 001 A 4 = -2.80469e-004 A 6 = -7.35250e-005 A 8 = 5.96298e-006 A10 = -1.01667e-006 A12 = 4.24368e-008

Fifth surface
K = -1.81335e + 001 A 4 = -6.13463e-003 A 6 = 1.42258e-003 A 8 = -2.17486e-004 A10 = 1.27021e-005 A12 = 2.80472e-007

Side 6
K = -4.98314e + 001 A 4 = -5.26715e-003 A 6 = 1.62525e-003 A 8 = -2.95696e-004 A10 = 2.42489e-005 A12 = -1.60854e-007

Side 8
K = -1.68951e + 001 A 4 = 2.06255e-003 A 6 = -2.09781e-004 A 8 = -6.18359e-004 A10 = 2.24328e-004 A12 = -2.92503e-005

9th page
K = -8.03453e + 001 A 4 = -1.334786e-002 A 6 = 3.81624e-003 A 8 = -1.47982e-003 A10 = 3.18316e-004 A12 = -2.70026e-005

10th page
K = -7.88338e + 000 A 4 = 1.15156e-003 A 6 = 1.01968e-003 A 8 = -6.94152e-004 A10 = 1.77811e-004 A12 = -1.38902e-005

Eleventh
K = -2.27187e + 001 A 4 = -1.17172e-002 A 6 = 3.31804e-003 A 8 = -7.68583e-004 A10 = 1.06684e-004 A12 = -4.39744e-006

Side 12
K = -5.42897e + 000 A 4 = 1.48342e-003 A 6 = 7.30671e-004 A 8 = -8.82770e-005 A10 = -7.31461e-005 A12 = 1.21843e-005

Thirteenth
K = -3.89170e + 000 A 4 = 1.51003e-002 A 6 = -6.14715e-004 A 8 = 1.94468e-004 A10 = -9.32100e-005 A12 = 1.11024e-005

Various data
Focal length 5.20
F-number 2.88
Half angle of view 30.80
Image height 3.10
Total lens length 24.00
BF 1.60
Entrance pupil position 6.83
Exit pupil position -6.17
Front principal point position 8.55
Rear principal point position -3.60

Single lens data
Lens Start surface Focal length
1 1 -9.47
2 3 16.97
3 5 -35.80
4 8 8.57
5 10 5.98
6 12 -4.79
7 14 0.00

Tele optical system
Unit: mm
Surface data
Surface number rd nd νd Effective diameter
1 * -54.306 1.00 1.63550 23.9 9.16
2 * 20.586 0.45 8.91
3 * 9.015 3.50 1.53110 55.9 8.92
4 * -26.808 2.42 8.23
5 * -41.695 1.00 1.53110 55.9 6.37
6 * -11.690 1.60 6.07
7 (aperture) ∞ 0.10 4.11
8 * 5.540 1.00 1.53110 55.9 4.27
9 * 7.601 1.64 4.20
10 * -69.043 1.70 1.53 110 55.9 4.33
11 * -37.921 2.04 4.50
12 * -3.715 0.75 1.63550 23.9 4.60
13 * -10.264 0.85 5.45
14 ∞ 1.10 1.51633 64.1 6.32
15 ∞ 6.76
Image plane ∞

Aspheric data
First side
K = -8.84520e + 001 A 4 = -2.25983e-004 A 6 = -1.20994e-005 A 8 = -2.80693e-007 A10 = 5.52510e-008 A12 = -1.34437e-009
Second side
K = 1.38800e + 001 A 4 = 1.09978e-005 A 6 = -3.05777e-005 A 8 = -1.57338e-008 A10 = 8.91102e-008 A12 = -3.02913e-009
Third side
K = -4.66891e + 000 A 4 = 8.62431e-004 A 6 = -3.37181e-005 A 8 = 1.49470e-006 A10 = -3.62389e-008 A12 = 1.72247e-010
Fourth side
K = -7.81159e + 001 A 4 = -3.58663e-004 A 6 = 1.52804e-005 A 8 = -1.37675e-006 A10 = 6.07857e-008 A12 = -6.35478e-010
Fifth surface
K = -8.99851e + 001 A 4 = 5.44542e-004 A 6 = -9.90697e-005 A 8 = 4.84568e-006 A10 = -3.08535e-008 A12 = 7.53799e-009
Side 6
K = 5.14367e + 000 A 4 = 1.14176e-003 A 6 = -8.98927e-005 A 8 = 9.07980e-006 A10 = -4.31174e-007 A12 = 2.16652e-008
Side 8
K = -1.79852e + 000 A 4 = 1.59639e-003 A 6 = 1.78374e-004 A 8 = -1.65523e-004 A10 = 4.33873e-005 A12 = -4.19605e-006
9th page
K = 4.95030e + 000 A 4 = -9.83568e-004 A 6 = -4.45996e-004 A 8 = 9.93118e-007 A10 = 1.48074e-005 A12 = -3.26434e-006
10th page
K = 8.99185e + 001 A 4 = 8.54525e-004 A 6 = -2.71729e-004 A 8 = -1.18966e-005 A10 = 2.78388e-005 A12 = -4.20505e-006
Eleventh
K = -8.99368e + 001 A 4 = -4.17169e-004 A 6 = -2.11980e-004 A 8 = -5.86487e-005 A10 = 4.49926e-005 A12 = -5.01691e-006
Side 12
K = -1.10359e + 001 A 4 = -3.52331e-002 A 6 = 8.48054e-003 A 8 = -2.56725e-003 A10 = 4.70979e-004 A12 = -3.30163e-005

Thirteenth
K = -4.78616e + 001 A 4 = -1.23726e-002 A 6 = 1.97321e-003 A 8 = -4.10591e-004 A10 = 5.79107e-005 A12 = -3.07475e-006

Various data
Focal length 15.00
F-number 2.88
Half angle of view 11.68
Image height 3.10
Total lens length 20.75
BF 1.60
Entrance pupil position 9.21
Exit pupil position -5.77
Front principal point position -6.32
Rear principal point position -13.40

Single lens data
Lens Start surface Focal length
1 1 -23.37
2 3 13.15
3 5 30.24
4 8 32.94
5 10 155.45
6 12 -9.59
7 14 0.00

(Numerical example 7)
Wide optical system
Unit: mm
Surface data
Surface number rd nd νd Effective diameter
1 * 9.963 1.30 1.62041 60.3 6.14
2 * 2.063 3.16 4.23
3 * 5.403 1.40 1.59240 68.3 4.07
4 * -11.150 0.60 3.69
5 * -43.751 0.80 1.80518 25.4 3.07
6 * 15.608 0.10 3.02
7 (aperture) ∞ 0.10 3.03
8 * 4.764 1.20 1.64000 60.1 3.07
9 * -66.999 2.94 3.02
10 * 14.404 1.80 1.59240 68.3 4.48
11 * -9.500 0.50 4.37
12 * -17.138 1.00 1.84666 23.8 4.29
13 * 11.853 5.09
Image plane ∞

Aspheric data
First side
K = -2.47869e + 001 A 4 = -2.02166e-003 A 6 = 5.43003e-005
Second side
K = -1.79551e + 000 A 4 = 1.25374e-002 A 6 = -4.89811e-005
Third side
K = 2.24981e + 000 A 4 = 2.67772e-003 A 6 = 1.71832e-004
Fourth side
K = -2.15785e + 001 A 4 = 1.38585e-003 A 6 = -4.29296e-005
Fifth surface
K = -7.77189e + 000 A 4 = 2.90232e-003 A 6 = -1.23226e-003
Side 6
K = 5.52064e + 001 A 4 = 2.30902e-003 A 6 = -9.38603e-004
Side 8
K = 6.43691e-001 A 4 = 1.22013e-003 A 6 = 3.62473e-004
9th page
K = -6.95418e + 001 A 4 = 3.79577e-003 A 6 = 8.00925e-004
10th page
K = -9.00000e + 001 A 4 = 5.32715e-003 A 6 = 4.14940e-004
Eleventh
K = 1.36769e + 001 A 4 = -2.97992e-003 A 6 = 1.43850e-003
Side 12
K = -9.00000e + 001 A 4 = -2.16468e-002 A 6 = 4.36176e-004
Thirteenth
K = 1.40560e + 001 A 4 = -1.25552e-002 A 6 = 5.78256e-004

Various data
Focal length 5.20
F-number 2.88
Half angle of view 36.69
Image height 3.88
Lens length 17.77
BF 2.87
Entrance pupil position 3.58
Exit pupil position -4.59
Front principal point position 5.15
Rear principal point position -2.33

Single lens data
Lens Start surface Focal length
1 1 -4.47
2 3 6.34
3 5 -14.20
4 8 6.99
5 10 9.94
6 12 -8.15

Tele optical system
Unit: mm
Surface data
Surface number rd nd νd Effective diameter
1 * 32.268 1.30 1.62041 60.3 8.47
2 * -51.647 3.16 8.11
3 * 5.700 1.40 1.59240 68.3 5.55
4 * -12.800 0.60 5.22
5 * -9.999 0.80 1.80518 25.4 3.82
6 * 191.283 0.10 3.38
7 (aperture) ∞ 0.10 3.35
8 * 5.214 1.20 1.64000 60.1 3.27
9 * 2.487 2.94 3.24
10 * 18.649 1.80 1.59240 68.3 6.46
11 * 26.555 0.50 6.50
12 * 8.399 1.00 1.84666 23.8 6.65
13 * 11.838 6.78
Image plane ∞

Aspheric data
First side
K = -1.92634e + 001 A 4 = -2.82433e-004 A 6 = 3.81416e-006
Second side
K = 9.00000e + 001 A 4 = 3.23423e-004 A 6 = 2.68125e-006
Third side
K = -8.60800e-001 A 4 = 2.63313e-003 A 6 = 4.15438e-005
Fourth side
K = -2.86471e + 001 A 4 = 8.10119e-004 A 6 = 2.03306e-006
Fifth surface
K = 9.11794e + 000 A 4 = 5.04006e-003 A 6 = 2.54023e-004
Side 6
K = 7.38599e + 001 A 4 = 2.81749e-003 A 6 = 5.63571e-004
Side 8
K = -8.57667e-001 A 4 = -3.65406e-003 A 6 = -4.84007e-004
9th page
K = -2.26017e-001 A 4 = -3.68837e-003 A 6 = -1.37027e-003
10th page
K = 1.65894e + 001 A 4 = 2.55538e-003 A 6 = 1.45887e-005
Eleventh
K = 9.21247e + 000 A 4 = 2.90663e-004 A 6 = -7.09973e-006
Side 12
K = -7.20764e + 000 A 4 = -1.10889e-003 A 6 = -5.90829e-005
Thirteenth
K = 8.94495e + 000 A 4 = -3.28402e-003 A 6 = -4.17715e-005

Various data
Focal length 15.00
F-number 2.88
Half angle of view 14.48
Image height 3.88
Lens length 17.77
BF 2.87
Entrance pupil position 8.12
Exit pupil position -6.28
Front principal point position -1.49
Rear principal point position -12.13

Single lens data
Lens Start surface Focal length
1 1 32.20
2 3 6.85
3 5 -11.78
4 8 -8.97
5 10 97.49
6 12 30.14

  Each of the embodiments described above is only a typical example, and various modifications and changes can be made to each embodiment when the present invention is implemented.

  The present invention can provide a compound-eye optical device such as an imaging device and a lens device used for compound-eye imaging capable of obtaining a good image.

1 Compound Eye Imaging Devices 110a, 110b, 1200a, 120b, 130a, 130b, 140a, 140b Imaging Optical Systems 210a to 210h Image Sensor 105F Focus Lens Group 105R Rear Lens Group

Claims (6)

A plurality of imaging optical systems for forming optical images of the object in different areas on the image plane,
Either one image sensor that photoelectrically converts the plurality of optical images respectively formed by the plurality of imaging optical systems in mutually different photoelectric conversion regions, or a plurality of image sensors that photoelectrically converts each of the plurality of optical images a compound eye optical device for chromatic imaging means is, a,
The plurality of imaging optical systems include imaging optical systems having different focal lengths from each other,
The lens closest to the object in the wide-angle optical system having the shortest focal length among the plurality of imaging optical systems has a negative optical power, and is a meniscus lens having a convex surface directed toward the object side. The point closest to the object side is located closer to the object side than the lens surface closest to the object side of other imaging optical systems ,
The compound eye optical device is characterized in that the most object side surface does not have an imaging optical system located on the object side of the wide optical system closest to the object side surface . The compound-eye optical device according to claim 1, wherein the compound-eye optical device acquires a plurality of images having different angles of view by a single photographing from the imaging unit .   The compound eye optical apparatus according to claim 1, wherein image processing is performed using a plurality of images having different angles of view obtained from the imaging unit.   The compound eye optical apparatus according to claim 3, wherein the image processing is processing of combining the plurality of images and outputting a combined image.   The compound eye optical apparatus according to claim 4, wherein the combined image is an image having a different angle of view from an image used when generating the combined image. Wherein the plurality of imaging optical system, and the wide-optical system, the narrow wide middle optics field angle than the wide optical system, and a narrow Teremidoru optics field angle than the wide middle optical system, the Teremidoru optical The compound eye optical apparatus according to claim 1, further comprising a tele optical system having a narrower angle of view than the system.