JP2596817B2 - Zoom lens - Google Patents

Zoom lens

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Publication number
JP2596817B2
JP2596817B2 JP63293524A JP29352488A JP2596817B2 JP 2596817 B2 JP2596817 B2 JP 2596817B2 JP 63293524 A JP63293524 A JP 63293524A JP 29352488 A JP29352488 A JP 29352488A JP 2596817 B2 JP2596817 B2 JP 2596817B2
Authority
JP
Japan
Prior art keywords
lens
group
variable
refractive power
positive
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Expired - Fee Related
Application number
JP63293524A
Other languages
Japanese (ja)
Other versions
JPH02167518A (en
Inventor
伸一 三原
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Olympus Corp
Original Assignee
Olympus Optic Co Ltd
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Olympus Optic Co Ltd filed Critical Olympus Optic Co Ltd
Priority to JP63293524A priority Critical patent/JP2596817B2/en
Priority to US07/403,394 priority patent/US4969721A/en
Publication of JPH02167518A publication Critical patent/JPH02167518A/en
Application granted granted Critical
Publication of JP2596817B2 publication Critical patent/JP2596817B2/en
Anticipated expiration legal-status Critical
Expired - Fee Related legal-status Critical Current

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Description

【発明の詳細な説明】 [産業上の利用分野] 本発明は、撮影用ズームレンズで、特に撮像デバイス
として電子撮像管,固体撮像素子を用いた撮影機用に適
したズームレンズに関するものである。
Description: BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a zoom lens for photographing, and more particularly to a zoom lens suitable for a photographing machine using an electronic image pickup tube or solid-state image pickup device as an image pickup device. .

[従来の技術] 撮像デバイスとして、電子撮像管、固体撮像素子を用
いた撮影機用のレンズ系は、殆んどがズームレンズであ
る。これらのズームレンズは、口径比がF/2.8以上で、
ズーム比も3倍以上のものがほとんどである。
[Related Art] Most of lens systems for photographing machines using an electronic image pickup tube and a solid-state image pickup device as image pickup devices are zoom lenses. These zoom lenses have an aperture ratio of F / 2.8 or more,
In most cases, the zoom ratio is three times or more.

これらのズームレンズは、口径比が大で高変倍である
が、構成枚数が13枚〜15枚と多くコスト高である。
These zoom lenses have a large aperture ratio and a high zoom ratio, but have a large number of components of 13 to 15 and are costly.

最近この種のズームレンズで、特開昭60−123817号や
特開昭62−247318号のように構成枚数が12〜18枚のもの
が提案されている。そのうち特開昭62−247318号公報に
記載されたズームレンズは、この基本構成が物体側から
順に正の屈折力を有し変倍時には固定で合焦時に可動で
ある第1群と、負の屈折力を有し変倍のために可動であ
る第2群と、正の屈折力を有し変倍時に変動する像面を
補正するため像側に凸の形状の軌跡を描いて移動する第
3群と、結像作用を有し常時固定の第4群とよりなるも
のである。そしてこの従来例は、第1群が3枚、第2群
が3枚、第3群が1枚、第4群が4枚の合計11枚のレン
ズよりなり、最近知られている従来例のなかではレンズ
枚数の少ないズームレンズである。
Recently, there have been proposed zoom lenses of this type having 12 to 18 components as disclosed in JP-A-60-123817 and JP-A-62-247318. Among them, the zoom lens described in Japanese Patent Application Laid-Open No. 62-247318 has a first lens unit whose basic configuration has a positive refractive power in order from the object side and is fixed at the time of zooming and movable at the time of focusing. A second lens group having a refractive power and movable for zooming, and a second lens group having a positive refractive power and moving along a locus having a convex shape on the image side to correct an image plane which fluctuates during zooming. It is composed of three groups and a fourth group which has an image forming function and is always fixed. In this conventional example, the first group is composed of three lenses, the second group is composed of three lenses, the third group is composed of one lens, and the fourth group is composed of four lenses. Among them, it is a zoom lens with a small number of lenses.

[発明が解決しようとする課題] 上記の従来例のズームレンズは、画角が45.5゜〜16.2
゜で変倍比が3、F/1.4であるが、この種のズームレン
ズのなかでは第1群の径や厚みが大であってコンパクト
性に欠け、特にオートフォーカスのように電動で合焦す
るものの場合、消費電力が大になり合焦速度が大でない
デメリットがある。
[Problem to be Solved by the Invention] The above-described conventional zoom lens has an angle of view of 45.5 ° to 16.2.
The zoom ratio is 3 and F / 1.4 at 、, but the first lens group has a large diameter and thickness and lacks compactness among zoom lenses of this type, and it is electrically focused, especially like auto focus However, there is a disadvantage that the power consumption is large and the focusing speed is not high.

本発明は前記の欠点を解消するためのもので、構成枚
数が少なく、第1群の径が小であってしかも広角端の画
角が48゜程度、変倍比が3〜6で口径比がF/1.4〜F/2.8
で結像性能の良好なコンパクトなズームレンズを提供す
ることを目的とするものである。
The present invention has been made to solve the above-mentioned drawbacks, and has a small number of components, a small diameter of the first lens unit, an angle of view at the wide-angle end of about 48 °, a zoom ratio of 3 to 6, and an aperture ratio. Is F / 1.4-F / 2.8
It is an object of the present invention to provide a compact zoom lens having good imaging performance.

[課題を解決するための手段] 本発明のズームレンズは、前記目的を達成するため
に、物体側から順に、正の屈折力を有する第1群と、変
倍時光軸に沿って可動であって負の屈折力を有する第2
群と、変倍時第2群とは少し異なる動きで光軸に沿って
移動する正の屈折力を有する第3群と、常時固定で正の
屈折力を有する第4群とにて構成されていて、第2群に
1枚の正レンズを含むか或は第3群に1枚の負レンズを
含むかのいずれかである。
[Means for Solving the Problems] In order to achieve the above object, a zoom lens according to the present invention includes, in order from the object side, a first lens unit having a positive refractive power and a movable first lens unit along the optical axis during zooming. Second with negative refractive power
A second group having a positive refractive power that moves along the optical axis with a slightly different movement from the second group during zooming, and a fourth group that is always fixed and has a positive refractive power. And either the second group includes one positive lens or the third group includes one negative lens.

更に本発明のズームレンズは、次の条件(1)乃至条
件(4)を満足することを特徴としている。
Further, the zoom lens of the present invention is characterized by satisfying the following conditions (1) to (4).

(1) 0.2<|β2S|<0.7 (2) 1.0<|fII III|/fW<2.2 (3) ν3P<63 (4) −0.06<(D2W−D2T)/fS<0.16 ただしβ2Sは全系の焦点距離が (fW,fTは夫々広角端,望遠端における全系の焦点距
離)の時の第2群の倍率、fII IIIは望遠端における第
2群と第3群の合成焦点距離、ν3Pは第3群の正レンズ
のアッベ数、D2W,D2Tは夫々広角端,望遠端における第
2群と第3群の間隔である。
(1) 0.2 <| β 2S | <0.7 (2) 1.0 <| f II III | / f W <2.2 (3) ν 3P <63 (4) −0.06 <(D 2W −D 2T ) / f S < 0.16 However, β 2S has a focal length of the whole system (F W , f T are the focal lengths of the entire system at the wide-angle end and the telephoto end, respectively), f II III is the combined focal length of the second and third units at the telephoto end, ν 3P Is the Abbe number of the positive lens in the third group, and D 2W and D 2T are the distances between the second and third groups at the wide-angle end and the telephoto end, respectively.

特開昭62−247318号のレンズ系のような構成のもの
は、第2群の可動スペースと第3群の可動スペースとが
共用されないために全体として多くの可動スペースを必
要とする。また可動群が開口絞り位置を境にして同じ側
にある方がメカ構造上有利であるために開口絞りは第3
群よりも像側に位置している。したがって入射瞳位置
は、第1面(最も物体側の面)からみて遠くなりがちで
ある。そのため軸外光線が第1群を切る高さが高くな
り、第1群の径を大にしなければ光量が不足する。また
レンズの径を大にすると凸レンズの場合、縁肉を確保す
るためには、レンズの肉厚が大になる。そのため一層入
射瞳位置が第1面から遠くなるという悪循環になり、結
局前玉径が大になる。
A lens system such as the one disclosed in Japanese Patent Application Laid-Open No. 62-247318 requires a large amount of movable space as a whole because the movable space of the second group and the movable space of the third group are not shared. It is more advantageous for the mechanical structure that the movable group is on the same side of the aperture stop position as a boundary, so that the aperture stop is the third stop.
It is located on the image side of the group. Therefore, the entrance pupil position tends to be far from the first surface (the surface closest to the object). For this reason, the height at which the off-axis ray cuts the first lens unit increases, and the light amount becomes insufficient unless the diameter of the first lens unit is increased. When the diameter of the lens is increased, in the case of a convex lens, the thickness of the lens is increased in order to secure the rim. This causes a vicious cycle in which the position of the entrance pupil is further away from the first surface, and eventually the diameter of the front lens becomes large.

本発明のズームレンズは、第2群の可動スペースと第
3群の可動スペースを両者の機械的干渉なしに極力共有
するような屈折力配置にし、全体としてのスペースを小
さくして入射瞳を第1面に近くするようにしている。具
体的には第2群に対する第3群の動きが関係するが、第
2群が最も像側の位置に来る望遠端において第3群が極
力像側にあることが好ましい。このような動きをさせる
ために設けたのが前記の条件(1)である。つまり中間
焦点距離fSの時の第2群の倍率β2Sを条件(1)の範囲
にすることによって第3群の動きが前記の要件を満足す
るものになし得て、前玉径が大になるのを防止し得る。
In the zoom lens of the present invention, the movable space of the second group and the movable space of the third group are arranged so as to share as much as possible without mechanical interference between them, and the overall space is reduced to reduce the entrance pupil. It is made to be close to one side. Specifically, the movement of the third unit with respect to the second unit is related, but it is preferable that the third unit be as close to the image side as possible at the telephoto end where the second unit is closest to the image side. The condition (1) is provided to make such a movement. That is, by setting the magnification β 2S of the second lens group at the intermediate focal length f S within the range of the condition (1), the movement of the third lens group can satisfy the above requirements, and the front lens diameter becomes large. Can be prevented.

|β2S|の値が条件(1)の上限値(0.7)を越えると
前述の従来例のように第2群と第3群の可動スペースを
共有できなくなり、前玉径が大になる。逆に下限値(0.
2)を越えると広角端にて第2群と第3群とが機械的に
干渉するようになり、これを防止するように設計すると
望遠端にて第2群と第3群の間隔が開くようになり無駄
なスペースが出来、前玉径が大になる。
When the value of | β 2S | exceeds the upper limit (0.7) of the condition (1), the movable space of the second and third units cannot be shared as in the above-described conventional example, and the diameter of the front lens becomes large. Conversely, the lower limit (0.
Beyond 2), the second and third units mechanically interfere at the wide-angle end, and if designed to prevent this, the distance between the second and third units will increase at the telephoto end. As a result, wasted space is created and the diameter of the front lens becomes large.

上記の要件を満足させるためには、条件(1)のみで
は十分ではない。本発明のズームレンズのような第3群
の動きは、第2群の変倍作用を打消す方向であるため、
従来例に比べ第2群の移動量が大になる。そのために可
動スペースが多く必要になり、前玉径を小さくすること
が難しくなる。これを解消して第2群の動き量を従来例
なみにするために設けたのが条件(2)である。
In order to satisfy the above requirements, the condition (1) alone is not enough. Since the movement of the third lens group such as the zoom lens of the present invention is in a direction to cancel the zooming action of the second lens group,
The movement amount of the second lens unit is larger than in the conventional example. Therefore, a large amount of movable space is required, and it is difficult to reduce the diameter of the front lens. Condition (2) is provided in order to solve this and make the amount of movement of the second lens unit comparable to that of the conventional example.

この条件(2)において上限値の2.2を越えると第2
群の動き量が大きくなりそのため前玉径が大になる。逆
に上限値の1.0を越えると変倍時における球面収差,コ
マ収差の変動が大になりやすく、変倍比を大きく出来な
くなる。
In this condition (2), if the upper limit of 2.2 is exceeded, the second
The amount of movement of the group becomes large, and therefore the diameter of the front lens becomes large. Conversely, if the value exceeds the upper limit of 1.0, the fluctuation of spherical aberration and coma during zooming tends to increase, and the zoom ratio cannot be increased.

色収差に関しては、第2群,第3群の夫々にて発生し
ても両群の間隔の変化量が少ないので、全焦点距離にて
夫々の群の色収差が互いに相殺すように出来、色収差を
良好に補正出来る。条件(2)を満足する場合、従来例
のように第3群の正レンズにアッベ数の大きい材料を用
いると色収差が相殺出来なくなる。そのため本発明で
は、条件(3)に示すように第3群の正レンズにν3P
63の媒質を用いている。条件(3)の上限を越えると変
倍時の色収差の変動が大きくなりやすい。
Regarding chromatic aberration, even if it occurs in each of the second group and the third group, the amount of change in the distance between the two groups is small, so that the chromatic aberration of each group can be offset at all focal lengths, and the chromatic aberration can be reduced. It can be corrected well. When the condition (2) is satisfied, the chromatic aberration cannot be canceled if a material having a large Abbe number is used for the positive lens of the third group as in the conventional example. Therefore, in the present invention, as shown in the condition (3), ν 3P <
63 media are used. When the value exceeds the upper limit of the condition (3), the chromatic aberration at the time of zooming is likely to fluctuate greatly.

色収差の変動は、第2群と第3群の相対間隔の変化が
小である方がよい。そのために本発明では、条件(4)
を設けた。
It is preferable that the change in the chromatic aberration is such that the change in the relative distance between the second group and the third group is small. Therefore, in the present invention, the condition (4)
Was provided.

条件(4)において、上限値の0.16を越えると、変倍
時の色収差の変動が大きくなりやすく、又下限値の−0.
06を越えると望遠端での第2群と第3群の間隔が大にな
り無駄なスペースを生じやすく前玉径を小さくする上で
不都合である。(D2W−D2T)/fS=0であれば最も望ま
しい。
In the condition (4), when the value exceeds the upper limit of 0.16, the variation of chromatic aberration at the time of zooming tends to increase, and the lower limit of -0.06.
If the value exceeds 06, the distance between the second and third lens units at the telephoto end becomes large, and wasteful space is likely to occur, which is inconvenient in reducing the diameter of the front lens. (D 2W −D 2T ) / f S = 0 is most desirable.

またこの条件(4)は高変倍時に条件(1)を満足さ
せる上でも望ましい。
This condition (4) is also desirable for satisfying the condition (1) at high zooming.

本発明のレンズ系において、第3群の全体のパワーが
強すぎるとズーミング時の焦点位置の移動をある一定の
範囲に入れることが製作精度上困難になる。そのため第
3群の焦点距離fIIIは次の条件(5)の範囲内にするこ
とが望ましい。
In the lens system of the present invention, if the overall power of the third unit is too strong, it is difficult to control the movement of the focal position during zooming within a certain range in terms of manufacturing accuracy. Therefore, it is desirable that the focal length f III of the third lens unit be within the range of the following condition (5).

この条件の下限を越えると製作精度上焦点位置のズー
ミング移動量を許容範囲内におさめることが難しくな
る。又上限を越えると第3群の第2群に対する相対移動
量が大きくなりすぎて移動スペースに無駄が出来やすく
なり好ましくない。
If the lower limit of the condition is exceeded, it becomes difficult to keep the zooming movement amount of the focal position within an allowable range due to manufacturing accuracy. If the upper limit is exceeded, the amount of relative movement of the third lens group with respect to the second lens group becomes too large, which is not preferable because the movement space tends to be wasted.

本発明では、第4群をF/2.8クラスのレンズ系では3
枚乃至4枚、F/2.0クラスのレンズ系では4乃至5枚、F
/1.4クラスのレンズ系では4枚乃至6枚にて構成した。
構成枚数を減らすという観点と、第4群が結像系である
という観点からは、この第4群としてトリプレット系の
レンズを用いるのがよい。また収差補正の観点からは、
トリプレット系の第1正レンズ群,負レンズ群,第2正
レンズ群のうちの一部あるいはすべてを複数のレンズに
て構成したり、さらには非球面を用いたりするのがよ
い。
In the present invention, the fourth unit is 3 in the lens system of the F / 2.8 class.
4 to 4, F / 2.0 class lens system 4 to 5, F
The /1.4 class lens system consists of 4 to 6 lenses.
From the viewpoint of reducing the number of components and the viewpoint that the fourth unit is an imaging system, it is preferable to use a triplet lens as the fourth unit. From the viewpoint of aberration correction,
It is preferable that a part or all of the first positive lens unit, the negative lens unit, and the second positive lens unit of the triplet system be constituted by a plurality of lenses, or that an aspheric surface be used.

固定群の構成枚数を極限まで減らして行くと特にコマ
収差が悪化しやすい。つまり軸外の上側光束が固定群
(第4群)の周辺部にて強い収斂作用を受けその縦収差
が負の大きな値となるためである。またFナンバーを小
にし明るくしていくと、球面収差,コマ収差の補正がむ
ずかしくなる。
When the number of components of the fixed group is reduced to the limit, coma aberration is particularly likely to deteriorate. That is, the off-axis upper light beam is strongly converged at the periphery of the fixed group (fourth group), and its longitudinal aberration has a large negative value. Also, as the F-number becomes smaller and brighter, correction of spherical aberration and coma becomes difficult.

以上のことからF/2.8クラスではこの第4群をトリプ
レットタイプとし、トリプレットの第2正レンズ群の一
部に非球面を用いるか第2正レンズ群を2枚に分割する
とよい。第2正レンズ群に非球面を用いたりまたはこれ
を2枚の正レンズに分割したりするのは、第2正レンズ
で像高毎の光束の重なりあいが最も少なく、球面収差と
コマ収差を別々に補正しやすいからである。
From the above, in the F / 2.8 class, it is preferable that the fourth unit be a triplet type and that an aspherical surface be used as a part of the second positive lens unit of the triplet, or that the second positive lens unit be divided into two. The use of an aspheric surface in the second positive lens group or the division of this into two positive lenses is because the second positive lens has the least overlap of light fluxes at each image height, and reduces spherical aberration and coma. This is because correction can be easily performed separately.

F/2.0,F/1.4クラスでは第1正レンズ群を1枚又は2
枚、負レンズ群を1枚〜2枚、第2正レンズ群を2枚〜
3枚にて構成することによって球面収差,コマ収差を良
好に補正することが出来る。さらに収差を良好にするた
めには、正レンズ群、特に第2正レンズ群の一部に非球
面を用いたり第2正レンズ群の像側に収差補正を目的と
して物体側に強い凹面を向けた負レンズを加えたりする
ことが望ましくこれによって結像性能を向上することが
出来る。
For F / 2.0, F / 1.4 class, one or two first positive lens groups
, One to two negative lens groups, two to the second positive lens group
By using three lenses, spherical aberration and coma can be corrected well. In order to further improve the aberration, an aspheric surface is used for a part of the positive lens group, particularly a part of the second positive lens group, or a strong concave surface is directed to the image side of the second positive lens group for the purpose of aberration correction. It is desirable to add a negative lens, which can improve the imaging performance.

なお非球面を用いる場合、あるレンズで著しく発生す
る収差を別のレンズで補正するという方法を採用する
と、偏芯の効きが著しくなるので好ましくない。そのた
め著しく収差を発生するレンズに用いその収差が緩和さ
れるようにするのがよい。したがってコマ収差を著しく
発生する第2正レンズ群にその周辺にいくにしたがって
光軸近傍の曲率の球面を用いたときよりも屈折力が弱く
なるような非球面を用いれば、上側光束の負の大きな縦
収差が緩和される。またFナンバーが小になり明るくな
ると球面収差を補正することが必要になるが、これは第
1正レンズ群に同様の非球面つまり周辺にいくにしたが
って光軸の近傍の曲率と同じ曲率の球面を用いた時より
も屈折力が弱くなる非球面を用いればよい。
In the case of using an aspherical surface, it is not preferable to use a method of correcting aberrations that occur remarkably in one lens with another lens, because the effect of eccentricity becomes remarkable. Therefore, it is preferable to use a lens that significantly generates aberration so that the aberration is reduced. Therefore, if an aspherical surface whose refractive power becomes weaker than when a spherical surface having a curvature near the optical axis is used toward the periphery of the second positive lens unit which significantly generates coma aberration is used, the negative of the upper light beam becomes negative. Large longitudinal aberration is reduced. When the f-number becomes small and becomes bright, it becomes necessary to correct spherical aberration. This is because the first positive lens unit has a similar aspheric surface, that is, a spherical surface having the same curvature as the curvature near the optical axis toward the periphery. It is sufficient to use an aspherical surface whose refractive power is weaker than when a is used.

本発明のズームレンズにて用いられる非球面は次の式
にて表わされる。
The aspheric surface used in the zoom lens of the present invention is represented by the following equation.

上記式はx軸を光軸方向にとり、y軸を光軸と直角方
向にとったもので、rは光軸上の曲率半径、A2iは非球
面係数である。
In the above equation, the x-axis is taken in the direction of the optical axis and the y-axis is taken in the direction perpendicular to the optical axis, r is the radius of curvature on the optical axis, and A 2i is the aspheric coefficient.

[実施例] 次に本発明のズームレンズの各実施例を示す。EXAMPLES Next, examples of the zoom lens of the present invention will be described.

実施例1 f=9〜27mm,F/2.8,2ω=48.7゜〜18.2゜ r1=20.5698 d1=1.5000 n1=1.84666 ν=23.78 r2=15.2436 d2=0.3800 r3=16.2889 d3=5.5000 n2=1.69680 ν=55.52 r4=1264.2130 d4=D1(可変) r5=52.6236 d5=0.9000 n3=1.83400 ν=37.16 r6=8.9934 d6=2.3000 r7=−17.5175 d7=0.9000 n4=1.69680 ν=55.52 r8=13.0000 d8=1.6000 n5=1.69895 ν=30.12 r9=25.3099 d9=D2(可変) r10=22.5861 d10=1.9000 n6=1.84666 ν=23.78 r11=−89.7285 d11=D3(可変) r12=∞(絞り) d12=1.5000 r13=10.0989 d13=5.8658 n7=1.72342 ν=38.03 r14=−38.4266 d14=0.5000 r15=−12.5379 d15=1.0000 n8=1.84666 ν=23.78 r16=12.3959 d16=1.8688 r17=53.9661 d17=3.2000 n9=1.69680 ν=55.52 r18=−12.8206 d18=0.1500 r19=25.9278 d19=2.3000 n10=1.69680 ν10=55.52 r20=−41.7135 d20=4.0000 r21=∞ d21=10.1000 n11=1.51633 ν11=64.15 r22=∞ d22=5.1000 n12=1.54771 ν12=62.83 r23=∞ d23=1.2100 r24=∞ d24=0.6000 n13=1.48749 ν13=70.20 r25=∞ f 9.27 15.58 26.19 D1 0.600 7.282 12.749 D2 0.800 1.466 0.800 D3 13.449 6.102 1.300 β2S=−0.407,|fII III|/fW=1.207 ν3P=23.78,(D2W−D2T)/fS=0.0 実施例2 f=9〜27mm,F/2.0,2ω=48.7゜〜18.2゜ r1=21.9333 d1=1.5000 n1=1.84666 ν=23.78 r2=16.5730 d2=0.7000 r3=18.0721 d3=6.5000 n2=1.69680 ν=55.52 r4=−2286.1934 d4=D1(可変) r5=70.3935 d5=0.9000 n3=1.83400 ν=37.16 r6=9.2358 d6=2.9000 r7=−16.7332 d7=0.9000 n4=1.69680 ν=55.52 r8=15.0000 d8=1.6000 n5=1.69895 ν=30.12 r9=39.5957 d9=D2(可変) r10=27.6482 d10=2.1000 n6=1.84666 ν=23.78 r11=−62.4928 d11=D3(可変) r12=∞(絞り) d12=1.5000 r13=14.5675 d13=6.4043 n7=1.80610 ν=40.95 r14=−50.1841 d14=0.7500 r15=−15.0522 d15=2.6651 n8=1.84666 ν=23.78 r16=17.2822 d16=1.3423 r17=56.1518 d17=3.6000 n9=1.69680 ν=55.52 r18=−14.5156 d18=0.1500 r19=24.7980 d19=2.9000 n10=1.69680 ν10=55.52 r20=−46.2758 d20=4.1000 r21=∞ d21=10.1000 n11=1.51633 ν11=64.15 r22=∞ d22=5.1000 n12=1.54771 ν12=62.83 r23=∞ d23=1.2100 r24=∞ d24=0.6000 n13=1.48749 ν13=70.20 r25=∞ f 9.27 15.58 26.19 D1 0.600 7.625 13.509 D2 0.800 1.481 0.800 D3 14.209 6.503 1.300 β2S=−0.399,|fII III|/fW=1.282 ν3P=23.78,(D2W−D2T)/fS=0.0 実施例3 f=9〜54mm,F/2.8,2ω=48.7゜〜9.2゜ r1=126.1022 d1=1.5000 n1=1.80518 ν=25.43 r2=48.5060 d2=4.5000 n2=1.60311 ν=60.70 r3=−310.3639 d3=0.1500 r4=36.2200 d4=3.8000 n3=1.69680 ν=55.52 r5=137.5296 d5=D1(可変) r6=80.2290 d6=0.9000 n4=1.83400 ν=37.16 r7=13.9236 d7=2.8000 r8=−23.8032 d8=0.9000 n5=1.69680 ν=55.52 r9=15.0000 d9=2.3000 n6=1.69895 ν=30.12 r10=61.3240 d10=D2(可変) r11=55.7543 d11=1.7000 n7=1.84666 ν=23.78 r12=−155.1359 d12=D3(可変) r13=∞(絞り) d13=1.5000 14=11.8785 d14=10.0865 n8=1.80610 ν=40.95 r15=−70.5443 d15=0.5000 r16=−14.9376 d16=1.0000 n9=1.84666 ν=23.78 r17=13.0264 d17=0.7000 r18=57.8903 d18=3.2000 n10=1.69680 ν10=55.52 r19=−16.5053 d19=0.1500 r20=19.5419 d20=2.3000 n11=1.72342 ν11=38.03 r21=−1097.4735 d21=4.0000 r22=∞ d22=10.1000 n12=1.51633 ν12=64.15 r23=∞ d23=5.1000 n13=1.54771 ν13=62.83 r24=∞ d24=1.2100 r25=∞ d25=0.6000 n14=1.48749 ν14=70.20 r26=∞ f 9.27 22.04 52.38 D1 0.600 17.883 29.244 D2 0.800 5.594 0.800 D3 29.944 7.867 1.300 β2S=−0.500,|fII III|/fW=1.579 ν3P=23.78,(D2W−D2T)/fS=0.0 実施例4 f=9〜27mm,F/1.4,2ω=48.7゜〜18.2゜ r1=24.4460 d1=2.0000 n1=1.84666 ν=23.78 r2=18.5611 d2=0.6700 r3=19.6562 d3=8.0000 n2=1.69680 ν=55.52 r4=176.9296 d4=D1(可変) r5=28.5775 d5=0.9000 n3=1.83400 ν=37.16 r6=9.4317 d6=4.3000 r7=−19.1379 d7=0.9000 n4=1.69680 ν=55.52 r8=21.0000 d8=1.6000 n5=1.69895 ν=30.12 r9=38.5204 d9=D2(可変) r10=30.6746 d10=2.4000 n6=1.84666 ν=23.78 r11=−82.4297 d11=D3(可変) r12=∞(絞り) d12=2.0000 r13=20.3769 d13=5.0385 n7=1.80610 ν=40.95 r14=−33.2123 d14=0.4400 r15=−20.3574 d15=1.0000 n8=1.84666 ν=23.78 r16=−105.5308 d16=5.4215 r17=−219.3635 d17=1.5000 n9=1.80518 ν=25.43 r18=17.9140 d18=0.4800 r19=25.7928 d19=3.8000 n10=1.69680 ν10=55.52 r20=−20.9625 d20=0.1500 r21=15.4959 d21=3.5000 n11=1.69680 ν11=55.52 r22=166.0511 d22=4.1000 r23=∞ d23=5.5000 n12=1.51633 ν12=64.15 r24=∞ d24=1.2100 r25=∞ d25=0.6000 n13=1.48749 ν13=70.20 r26=∞ f 9.27 15.58 26.19 D1 0.600 9.176 16.020 D2 0.800 1.609 0.800 D3 16.720 7.335 1.300 β2S=−0.402,|fII III|/fW=1.532 ν3P=23.78,(D2W−D2T)/fS=0.0 実施例5 f=9〜54mm,F/1.4,2ω=48.7゜〜9.2゜ r1=122.3468 d1=1.5000 n1=1.80518 ν=25.43 r2=52.8269 d2=6.1000 n2=1.60311 ν=60.70 r3=−309.5818 d3=0.1500 r4=42.2763 d4=4.8000 n3=1.69680 ν=55.52 r5=148.9164 d5=D1(可変) r6=421.8362 d6=0.9000 n4=1.83400 ν=37.16 r7=14.6941 d7=3.7000 r8=−26.7472 d8=0.9000 n5=1.69680 ν=55.52 r9=16.0263 d9=3.0000 n6=1.84666 ν=23.78 r10=79.8436 d10=D2(可変) r11=79.0512 d11=1.9000 n7=1.76200 ν=40.10 r12=−88.8672 d12=D3(可変) r13=∞(絞り) d13=2.0000 r14=24.0479 d14=4.2000 n8=1.77250 ν=49.66 r15=−61.6587 d15=0.8500 r16=−28.4314 d16=1.0000 n9=1.84666 ν=23.78 r17=−61.5608 d17=12.8426 r18=180.3724 d18=1.0000 n10=1.84666 ν10=23.78 r19=21.3949 d19=1.5000 r20=64.0009 d20=3.7000 n11=1.69680 ν11=55.52 r21=−30.7674 d21=0.1500 r22=16.6824 d22=4.2000 n12=1.69680 ν12=55.52 r23=99.8035 d23=4.0000 r24=∞ d24=10.1000 n13=1.51633 ν13=64.15 r25=∞ d25=5.1000 n14=1.54771 ν14=62.83 r26=∞ d26=1.2100 r27=∞ d27=0.6000 n15=1.48749 ν15=70.20 r28=∞ f 9.27 22.03 52.37 D1 1.000 20.294 32.565 D2 0.800 6.048 0.800 D3 32.865 8.324 1.300 β2S=−0.503,|fII III|/fW=1.741 ν3P=40.10,(D2W−D2T)/fS=0.0 実施例6 f=9〜27mm,F/2.0,2ω=48.7゜〜18.2゜ r1=22.6371 d1=1.5000 n1=1.84666 ν=23.78 r2=16.8471 d2=0.6100 r3=18.3095 d3=6.5000 n2=1.69680 ν=55.52 r4=−780.5033 d4=D1(可変) r5=84.9168 d5=0.9000 n3=1.83400 ν=37.16 r6=9.4135 d6=2.8000 r7=−18.3476 d7=0.9000 n4=1.69680 ν=55.52 r8=15.0000 d8=1.6000 n5=1.69895 ν=30.12 r9=33.4221 d9=D2(可変) r10=24.0076 d10=2.0000 n6=1.84666 ν=23.78 r11=−78.6562 d11=D3(可変) r12=∞(絞り) d12=1.7000 r13=21.9904 d13=3.3771 n7=1.80610 ν=40.95 r14=−28.3595 d14=0.3700 r15=−16.9163 d15=1.0000 n8=1.84666 ν=23.78 r16=1554.4198 d16=7.7963 r17=60.9381 d17=3.6000 n9=1.69680 ν=55.52 r18=−18.9727 d18=0.1500 r19=22.8935 d19=3.2000 n10=1.69680 ν10=55.52 r20=−46.9645 d20=0.7500 r21=−19.7470 d21=1.5000 n11=1.84666 ν11=23.78 r22=−122.5983 d22=2.0000 r23=∞ d23=10.1000 n12=1.51633 ν12=64.15 r24=∞ d24=5.1000 n13=1.54771 ν13=62.83 r25=∞ d25=1.2100 r26=∞ d26=0.6000 n14=1.48749 ν14=70.20 r27=∞ f 9.27 15.58 26.19 D1 0.600 7.777 13.792 D2 0.800 1.445 0.800 D3 14.492 6.670 1.300 β2S=−0.387,|fII III|/fW=1.311 ν3P=23.78,(D2W−D2T)/fS=0.0 実施例7 f=9〜27mm,F/2.8,2ω=48.7゜〜18.2゜ r1=20.6095 d1=1.5000 n1=1.84666 ν=23.78 r2=15.2707 d2=0.3800 r3=16.2427 d3=5.5000 n2=1.69680 ν=55.52 r4=724.6233 d4=D1(可変) r5=53.2280 d5=0.9000 n3=1.83400 ν=37.16 r6=8.9415 d6=2.3000 r7=−17.1990 d7=0.9000 n4=1.69680 ν=55.52 r8=26.1266 d8=D2(可変) r9=22.1635 d9=2.5000 n5=1.84666 ν=23.78 r10=−24.0000 d10=1.0000 n6=1.69680 ν=55.52 r11=−155.8588 d11=D3(可変) r12=∞(絞り) d12=1.5000 r13=10.0584 d13=5.8930 n7=1.70154 ν=41.21 r14=−35.7295 d14=0.5000 r15=−12.5150 d15=1.0000 n8=1.84666 ν=23.78 r16=12.4372 d16=1.7958 r17=50.5874 d17=3.2000 n9=1.69350 ν=53.23 r18=−12.7714 d18=0.1500 r19=25.2199 d19=2.3000 n10=1.69350 ν10=53.23 r20=−40.8570 d20=4.0000 r21=∞ d21=10.1000 n11=1.51633 ν11=64.15 r22=∞ d22=5.1000 n12=1.54771 ν12=62.83 r23=∞ d23=1.2100 r24=∞ d24=0.6000 n13=1.48749 ν13=70.20 r25=∞ f 9.27 15.58 26.19 D1 0.600 7.332 12.821 D2 0.800 1.465 0.800 D3 13.521 6.125 1.300 β2S=−0.407,|fII III|/fW=1.214 ν3P=23.78,(D2W−D2T)/fS=0.0 実施例8 f=9〜27mm,F/2.8,2ω=48.7゜〜18.2゜ r1=20.3585 d1=1.5000 n1=1.84666 ν=23.78 r2=15.4113 d2=0.3200 r3=16.3678 d3=5.2000 n2=1.69680 ν=55.52 r4=289.7401 d4=D1(可変) r5=53.8105 d5=0.9000 n3=1.83400 ν=37.16 r6=8.8546 d6=2.3000 r7=−18.1138 d7=0.9000 n4=1.69680 ν=55.52 r8=36.9531 d8=D2(可変) r9=22.7181 d9=2.2000 n5=1.84666 ν=25.78 r10=−24.0000 d10=1.0000 n6=1.69680 ν=55.52 r11=44346.8880 d11=D3(可変) r12=∞(絞り) d12=1.5000 r13=10.7102 d13=6.2055 n7=1.70154 ν=41.21 r14=−23.6782 d14=0.2000 r15=−14.1954 d15=1.0000 n8=1.84666 ν=23.78 r16=13.9290 d16=2.8026 r17=17.4080(非球面) d17=5.0000 n9=1.69680 ν=55.52 r18=−11.4365 d18=4.0000 r19=∞ d19=10.1000 n10=1.51633 ν10=64.15 r20=∞ d20=5.1000 n11=1.54771 ν11=62.83 r21=∞ d21=1.2100 r22=∞ d22=0.6000 n12=1.48749 ν12=70.20 r23=∞ 非球面係数 A4=−0.26854×10-3,A6=0.13179×10-5 A8=−0.28548×10-7 f 9.27 15.58 26.19 D1 0.600 7.630 13.116 D2 0.800 1.582 0.800 D3 13.816 6.004 1.300 β2S=−0.434,|fII III|/fW=1.243 ν3P=23.78,(D2W−D2T)/fS=0.0 実施例9 f=9〜54mm,F/1.4,2ω=48.7゜〜9.2゜ r1=133.2040 d1=1.5000 n1=1.80518 ν=25.43 r2=59.2562 d2=6.5000 n2=1.60311 ν=60.70 r3=−218.4745 d3=0.1500 r4=46.7875 d4=4.3000 n3=1.69680 ν=55.52 r5=136.2198 d5=D1(可変) r6=74.8595 d6=0.9000 n4=1.83400 ν=37.16 r7=16.5062 d7=4.3000 r8=−22.9074 d8=0.9000 n5=1.69680 ν=55.52 r9=161.7260 d9=D2(可変) r10=53.4934 d10=3.0000 n6=1.84666 ν=23.78 r11=−39.3515 d11=1.0000 n7=1.69680 ν=55.52 r12=368.8143 d12=D3(可変) r13=∞(絞り) d13=2.0000 r14=19.8034 d14=4.5000 n8=1.77250 ν=49.66 r15=−59.8241 d15=0.7500 r16=−27.0622 d16=1.0000 n9=1.84666 ν=23.78 r17=4023.1309 d17=9.5718 r18=70.2215 d18=4.5000 n10=1.69680 ν10=55.52 r19=−27.0510 d19=0.1500 r20=20.5147 d20=3.0000 n11=1.69680 ν11=55.52 r21=204.7427 d21=1.6000 r22=−22.7450 d22=1.0000 n12=1.84666 ν12=23.78 r23=−134.7313 d23=4.0000 r24=∞ d24=8.0000 n13=1.51633 ν13=64.15 r25=∞ d25=5.1000 n14=1.54771 ν14=62.83 r26=∞ f 9.27 22.04 52.38 D1 0.600 20.994 34.882 D2 0.800 6.621 0.800 D3 35.582 9.367 1.300 β2S=−0.499,|fII III|/fW=1.890 ν3P=23.78,(D2W−D2T)/fS=0.0 実施例10 f=8〜24mm,F/2.8,2ω=54.0゜〜20.5゜ r1=73.2004 d1=1.6000 n1=1.84666 ν=23.78 r2=38.6631 d2=4.1000 n2=1.60311 ν=60.70 r3=−296.7193 d3=0.1500 r4=25.2092 d4=3.6000 n3=1.71300 ν=53.84 r5=96.0259 d5=D1(可変) r6=42.4751 d6=0.9000 n4=1.83400 ν=37.16 r7=8.9245 d7=3.2000 r8=−14.4872 d8=0.9000 n5=1.69680 ν=55.52 r9=13.1736 d9=2.1000 n6=1.84666 ν=23.78 r10=99.3340 d10=D2(可変) r11=38.3565 d11=1.6000 n7=1.84666 ν=23.78 r12=−147.1026 d12=D3(可変) r13=∞(絞り) d13=1.5000 r14=12.2431 d14=6.0144 n8=1.76200 ν=40.10 r15=−28.0696 d15=0.2700 r16=−12.3996 d16=1.4455 n9=1.84666 ν=23.78 r17=12.7019 d17=2.8178 r18=52.4534 d18=3.5000 n10=1.69680 ν10=55.52 r19=−12.2285 d19=0.1500 r20=30.2496 d20=2.5000 n11=1.69680 ν11=55.52 r21=−43.4650 d21=4.5000 r22=∞ d22=7.9000 n12=1.51633 ν12=64.15 r23=∞ d23=1.2000 n13=1.51633 ν13=64.15 r24=∞ d24=5.1000 n14=1.54771 ν14=62.83 r25=∞ d25=0.9000 r26=∞ d26=0.7000 n15=1.51633 ν15=64.15 r27=∞ d27=0.3100 r28=∞ d28=0.6000 n16=1.48749 ν16=70.20 r29=∞ f 8.24 13.85 23.28 D1 0.600 7.689 13.162 D2 0.930 2.138 0.800 D3 13.732 5.436 1.300 β2S=−0.524,|fII III|/fW=1.416 ν3P=23.78,(D2W−D2T)/fS=0.094 実施例11 f=9〜27mm,F/2.8,2ω=48.7゜〜18.2゜ r1=20.9352 d1=1.6000 n1=1.84666 ν=23.78 r2=15.6111 d2=0.4000 r3=16.5677 d3=5.9000 n2=1.69680 ν=55.52 r4=396.9886 d4=D1(可変) r5=42.8369 d5=0.9000 n3=1.80610 ν=40.95 r6=8.8637 d6=2.8000 r7=−16.5604 d7=0.9000 n4=1.69680 ν=55.52 r8=15.4214 d8=1.7000 n5=1.84666 ν=23.78 r9=55.2065 d9=D2(可変) r10=42.2632 d10=1.6000 n6=1.84666 ν=23.78 r11=−96.0817 d11=D3(可変) r12=∞(絞り) d12=1.5000 r13=11.2213 d13=4.9431 n7=1.74950 ν=35.27 r14=−16.9103 d14=0.2700 r15=−11.2281 d15=1.0000 n8=1.84666 ν=23.78 r16=12.0808 d16=2.4357 r17=43.8514 d17=3.4000 n9=1.69680 ν=55.52 r18=−12.2893 d18=0.1500 r19=40.3001 d19=2.0000 n10=1.69680 ν10=55.52 r20=−52.7041 d20=4.5000 r21=∞ d21=7.9000 n11=1.51633 ν11=64.15 r22=∞ d22=1.2000 n12=1.51633 ν12=64.15 r23=∞ d23=5.1000 n13=1.54771 ν13=62.83 r24=∞ d24=0.9000 r25=∞ d25=0.7000 n14=1.51633 ν14=64.15 r26=∞ d26=0.3100 r27=∞ d27=0.6000 n15=1.48749 ν15=70.20 r28=∞ f 9.27 15.58 26.19 D1 0.600 7.569 13.030 D2 0.930 2.122 0.800 D3 13.600 5.439 1.300 β2S=−0.522,|fII III|/fW=1.246 ν3P=23.78,(D2W−D2T)/fS=0.0083 実施例12 f=9〜27mm,F/2.8,2ω=48.7゜〜18.2゜ r1=21.0708 d1=1.6000 n1=1.84666 ν=23.78 r2=15.4497 d2=0.3000 r3=16.3292 d3=5.7000 n2=1.69680 ν=55.52 r4=709.5292 d4=D1(可変) r5=55.3981 d5=0.9000 n3=1.69580 ν=55.52 r6=8.3563 d6=2.4000 r7=−17.9562 d7=0.9000 n4=1.69680 ν=55.52 r8=11.8475 d8=1.9000 n5=1.84666 ν=23.78 r9=45.7885 d9=D2(可変) r10=33.3223 d10=1.5000 n6=1.69680 ν=55.52 r11=−174.6557 d11=D3(可変) r12=∞(絞り) d12=1.5000 r13=10.8481 d13=5.2096 n7=1.74950 ν=35.27 r14=−17.7465 d14=0.2100 r15=−11.3031 d15=0.9440 n8=1.84666 ν=23.78 r16=11.3031 d16=2.9153 r17=47.7945 d17=3.5000 n9=1.69680 ν=55.52 r18=−12.0729 d18=0.1500 r19=40.1164 d19=2.0000 n10=1.69680 ν10=55.52 r20=−50.1483 d20=4.9500 r21=∞ d21=9.8000 n11=1.51633 ν11=64.15 r22=∞ d22=5.1000 n12=1.54771 ν12=62.83 r23=∞ d23=1.2100 r24=∞ d24=0.6000 n13=1.48749 ν13=70.20 r25=∞ f 9.27 15.58 26.19 D1 0.600 7.416 12.830 D2 0.930 2.414 0.800 D3 13.400 5.100 1.300 β2S=−0.562,|fII III|/fW=1.224 ν3P=55.52,(D2W−D2T)/fS=0.0083 ただしr1,r2,…はレンズ各面の曲率半径、d1,d2,…は
各レンズの肉厚およびレンズ間隔、n1,n2,…は各レンズ
の屈折率、ν12,…は各レンズのアッベ数である。
Example 1 f = 9 to 27 mm, F / 2.8, 2ω = 48.7 ゜ to 18.2 ゜ r 1 = 20.5698 d 1 = 1.5000 n 1 = 1.84666 ν 1 = 23.78 r 2 = 15.2436 d 2 = 0.3800 r 3 = 16.2889 d 3 = 5.5000 n 2 = 1.69680 v 3 = 55.52 r 4 = 1264.2130 d 4 = D 1 (variable) r 5 = 52.6236 d 5 = 0.9000 n 3 = 1.83400 v 3 = 37.16 r 6 = 8.9934 d 6 = 2.3000 r 7 = − 17.5175 d 7 = 0.9000 n 4 = 1.69680 v 4 = 55.52 r 8 = 13.0000 d 8 = 1.6000 n 5 = 1.69895 v 5 = 30.12 r 9 = 25.3099 d 9 = D 2 (variable) r 10 = 22.5861 d 10 = 1.9000 n 6 = 1.84666 ν 6 = 23.78 r 11 = -89.7285 d 11 = D 3 (variable) r 12 = ∞ (aperture) d 12 = 1.5000 r 13 = 10.0989 d 13 = 5.8658 n 7 = 1.72342 ν 7 = 38.03 r 14 = -38.4266 d 14 = 0.5000 r 15 = -12.5379 d 15 = 1.0000 n 8 = 1.84666 ν 8 = 23.78 r 16 = 12.3959 d 16 = 1.8688 r 17 = 53.9661 d 17 = 3.2000 n 9 = 1.69680 ν 9 = 55.52 r 18 = −12.8206 d 18 = 0.1500 r 19 = 25.9278 d 19 = 2.3000 n 10 = 1.69680 ν 10 = 55.52 r 20 = -41.7135 d 20 = 4.0000 r 21 = ∞ d 21 = 10.1000 n 11 = 1.51633 ν 11 = 64.15 r 22 = ∞ d 22 = 5.1000 n 12 = 1.54771 ν 12 = 62.83 r 23 = ∞ d 23 = 1.2100 r 24 = ∞ d 24 = 0.6000 n 13 = 1.48749 ν 13 = 70.20 r 25 = f f 9.27 15.58 26.19 D 1 0.600 7.282 12.749 D 2 0.800 1.466 0.800 D 3 13.449 6.102 1.300 β 2S = −0.407, | f II III | / f W = 1.207 ν 3P = 23.78, (D 2W −D 2T ) / f S = 0.0 Example 2 f = 9 to 27 mm, F / 2.0, 2ω = 48.7 ゜ to 18.2 ゜ r 1 = 21.9333 d 1 = 1.5000 n 1 = 1.84666 ν 1 = 23.78 r 2 = 16.5730 d 2 = 0.7000 r 3 = 18.0721 d 3 = 6.5000 n 2 = 1.69680 v 2 = 55.52 r 4 = −2286.1934 d 4 = D 1 (variable) r 5 = 70.3935 d 5 = 0.9000 n 3 = 1.83400 v 3 = 37.16 r 6 = 9.2358 d 6 = 2.9000 r 7 = -16.7332 d 7 = 0.9000 n 4 = 1.69680 ν 4 = 55.52 r 8 = 15.0000 d 8 = 1.6000 n 5 = 1.69895 ν 5 = 30.12 r 9 = 39.5957 d 9 = D 2 ( variable) r 10 = 27.6482 d 10 = 2.1000 n 6 = 1.84666 v 6 = 23.78 r 11 = −62.4928 d 11 = D 3 (variable) r 12 = ∞ (aperture) d 12 = 1.5000 r 13 = 14.5675 d 13 = 6.4043 n 7 = 1.80610 v 7 = 40.95 r 14 = -50.1841 d 14 = 0.7500 r 15 = -15.0522 d 15 = 2.6651 n 8 = 1.84666 ν 8 = 23.78 r 16 = 17.2822 d 16 = 1.3423 r 17 = 56.1518 d 17 = 3.6000 n 9 = 1.69680 ν 9 = 55.52 r 18 = -14.5156 d 18 = 0.1500 r 19 = 24.7980 d 19 = 2.9000 n 10 = 1.69680 ν 10 = 55.52 r 20 = -46.2758 d 20 = 4.1000 r 21 = ∞ d 21 = 10.1000 n 11 = 1.51633 ν 11 = 64.15 r 22 = ∞ d 22 = 5.1000 n 12 = 1.54771 ν 12 = 62.83 r 23 = ∞ d 23 = 1.2100 r 24 = ∞ d 24 = 0.6000 n 13 = 1.48749 ν 13 = 70.20 r 25 = ∞ f 9.27 15.58 26.19 D 1 0.600 7.625 13.509 D 2 0.800 1.481 0.800 D 3 14.209 6.503 1.300 β 2S = −0.399, | f II III | / f W = 1.282 ν 3P = 23.78, (D 2W −D 2T ) / f S = 0.0 Example 3 f = 9 to 54 mm, F / 2.8, 2ω = 48.7 ゜ to 9.2 ゜ r 1 = 126.1022 d 1 = 1.5000 n 1 = 1.80518 ν 1 = 25.43 r 2 = 48.5060 d 2 = 4.5000 n 2 = 1.60311 ν 2 = 60.70 r 3 = -310.3639 d 3 = 0.1500 r 4 = 36.2200 d 4 = 3.8000 n 3 = 1.69680 ν 3 = 55.52 r 5 = 137.5296 d 5 = D 1 (variable) r 6 = 80.2290 d 6 = 0.9000 n 4 = 1.83400 v 4 = 37.16 r 7 = 13.9236 d 7 = 2.8000 r 8 = −23.8032 d 8 = 0.9000 n 5 = 1.69680 v 5 = 55.52 r 9 = 15.0000 d 9 = 2.3000 n 6 = 1.69895 v 6 = 30.12 r 10 = 61.3240 d 10 = D 2 (variable) r 11 = 55.7543 d 11 = 1.7000 n 7 = 1.84666 ν 7 = 23.78 r 12 = -155.1359 d 12 = D 3 ( variable) r 13 = ∞ (stop) d 13 = 1.5000 14 = 11.8785 d 14 = 10.0865 n 8 = 1.80610 ν 8 = 40.95 r 15 = -70.5443 d 15 = 0.5000 r 16 = -14.9376 d 16 = 1.0000 n 9 = 1.84666 ν 9 = 23.78 r 17 = 13.0264 d 17 = 0.7000 r 18 = 57.8903 d 18 = 3.2000 n 10 = 1.69680 ν 10 = 55.52 r 19 = -16.5053 d 19 = 0.1500 r 20 = 19.5419 d 20 = 2.3000 n 11 = 1.72342 ν 11 = 38.03 r 21 = -1097.4735 d 21 = 4.0000 r 22 = ∞ d 22 = 10.1000 n 12 = 1.51633 ν 12 = 64.15 r 23 = ∞ d 23 = 5.1000 n 13 = 1.54771 ν 13 = 62.83 r 24 = ∞ d 24 = 1.2100 r 25 = ∞ d 25 = 0.6000 n 14 = 1.48749 ν 14 = 70.20 r 26 = ∞ f 9.27 22.04 52.38 D 1 0.600 17.883 29.244 D 2 0.800 5.594 0.800 D 3 29.944 7.867 1.300 β 2S = −0.500, | f II III | / f W = 1.579 ν 3P = 23.78, (D 2W −D 2T ) / f S = 0.0 Example 4 f = 9 to 27 mm, F / 1.4, 2ω = 48.7 ゜ to 18.2 ゜ r 1 = 24.4460 d 1 = 2.0000 n 1 = 1.84666 ν 1 = 23.78 r 2 = 18.5611 d 2 = 0.6700 r 3 = 19.6562 d 3 = 8.0000 n 2 = 1.69680 v 2 = 55.52 r 4 = 176.9296 d 4 = D 1 (variable) r 5 = 28.5775 d 5 = 0.9000 n 3 = 1.83400 v 3 = 37.16 r 6 = 9.4317 d 6 = 4.3000 r 7 =- 19.1379 d 7 = 0.9000 n 4 = 1.69680 ν 4 = 55.52 r 8 = 21.0000 d 8 = 1.6000 n 5 = 1.69895 ν 5 = 30.12 r 9 = 38.5204 d 9 = D 2 ( variable) r 10 = 30.6746 d 10 = 2.4000 n 6 = 1.84666 ν 6 = 23.78 r 11 = -82.4297 d 11 = D 3 (variable) r 12 = ∞ (aperture) d 12 = 2.000 r 13 = 20.3769 d 13 = 5.0385 n 7 = 1.80610 ν 7 = 40.95 r 14 = -33.2123 d 14 = 0.4400 r 15 = -20.3574 d 15 = 1.0000 n 8 = 1.84666 ν 8 = 23.78 r 16 = -105.5308 d 16 = 5.4215 r 17 = -219.3635 d 17 = 1.5000 n 9 = 1.80518 ν 9 = 25.43 r 18 = 17.9140 d 18 = 0.4800 r 19 = 25.7928 d 19 = 3.8000 n 10 = 1.69680 ν 10 = 55.52 r 20 = -20.9625 d 20 = 0.1500 r 21 = 15.4959 d 21 = 3.5000 n 11 = 1.69680 ν 11 = 55.52 r 22 = 166.0511 d 22 = 4.1000 r 23 = ∞ d 23 = 5.5000 n 12 = 1.51633 ν 12 = 64.15 r 24 = ∞ d 24 = 1.2100 r 25 = ∞ d 25 = 0.6000 n 13 = 1.48749 ν 13 = 70.20 r 26 = ∞ f 9.27 15.58 26.19 D 1 0.600 9.176 16.020 D 2 0.800 1.609 0.800 D 3 16.720 7.335 1.300 β 2S = −0.402 , | f II III | / f W = 1.532 ν 3P = 23.78, (D 2W −D 2T ) / f S = 0.0 Example 5 f = 9 to 54 mm, F / 1.4, 2ω = 48.7 ゜ to 9.2 ゜ r 1 = 122.3468 d 1 = 1.5000 n 1 = 1.80518 ν 1 = 25.43 r 2 = 52.8269 d 2 = 6.1000 n 2 = 1.60311 ν 2 = 60.70 r 3 = -309.5818 d 3 = 0.1500 r 4 = 42.2763 d 4 = 4.8000 n 3 = 1.69680 ν 3 = 55.52 r 5 = 148.9164 d 5 = D 1 (variable) r 6 = 421.8362 d 6 = 0.9000 n 4 = 1.83400 ν 4 = 37.16 r 7 = 14.6941 d 7 = 3.7000 r 8 = -26.7472 d 8 = 0.9000 n 5 = 1.69680 ν 5 = 55.52 r 9 = 16.0263 d 9 = 3.0000 n 6 = 1.84666 ν 6 = 23.78 r 10 = 79.8436 d 10 = D 2 (variable) r 11 = 79.0512 d 11 = 1.9000 n 7 = 1.76200 ν 7 = 40.10 r 12 = -88.8672 d 12 = D 3 ( variable) r 13 = ∞ (stop) d 13 = 2.0000 r 14 = 24.0479 d 14 = 4.2000 n 8 = 1.77250 ν 8 = 49.66 r 15 = -61.6587 d 15 = 0.8500 r 16 = -28.4314 d 16 = 1.0000 n 9 = 1.84666 ν 9 = 23.78 r 17 = -61.5608 d 17 = 12.8426 r 18 = 180.3724 d 18 = 1.0000 n 10 = 1.84666 ν 10 = 23.78 r 19 = 21.3949 d 19 = 1.500 0 r 20 = 64.0009 d 20 = 3.7000 n 11 = 1.69680 ν 11 = 55.52 r 21 = −30.7674 d 21 = 0.1500 r 22 = 16.6824 d 22 = 4.2000 n 12 = 1.69680 ν 12 = 55.52 r 23 = 99.8035 d 23 = 4.0000 r 24 = ∞ d 24 = 10.1000 n 13 = 1.51633 ν 13 = 64.15 r 25 = ∞ d 25 = 5.1000 n 14 = 1.54771 ν 14 = 62.83 r 26 = ∞ d 26 = 1.2100 r 27 = ∞ d 27 = 0.6000 n 15 = 1.48749 ν 15 = 70.20 r 28 = ∞ f 9.27 22.03 52.37 D 1 1.000 20.294 32.565 D 2 0.800 6.048 0.800 D 3 32.865 8.324 1.300 β 2S = −0.503, | f II III | / f W = 1.741 ν 3P = 40.10, (D 2W -D 2T ) / f S = 0.0 Example 6 f = 9 to 27 mm, F / 2.0, 2ω = 48.7 ゜ to 18.2 ゜ r 1 = 22.6371 d 1 = 1.5000 n 1 = 1.84666 ν 1 = 23.78 r 2 = 16.8471 d 2 = 0.6100 r 3 = 18.3095 d 3 = 6.5000 n 2 = 1.69680 v 2 = 55.52 r 4 = −780.5033 d 4 = D 1 (variable) r 5 = 84.9168 d 5 = 0.9000 n 3 = 1.83400 v 3 = 37.16 r 6 = 9.4135 d 6 = 2.8000 r 7 = -18.3476 d 7 = 0.9000 n 4 = 1.69680 ν 4 = 55.52 r 8 = 15.0000 d 8 = 1.6000 n 5 = 1.69895 ν 5 = 30.12 r 9 = 33.4221 d 9 = D 2 ( variable) r 10 = 24.0076 d 10 = 2.0000 n 6 = 1.84666 v 6 = 23.78 r 11 = -78.6562 d 11 = D 3 (variable) r 12 = ∞ (aperture) d 12 = 1.7000 r 13 = 21.9904 d 13 = 3.3771 n 7 = 1.80610 v 7 = 40.95 r 14 = -28.3595 d 14 = 0.3700 r 15 = -16.9163 d 15 = 1.0000 n 8 = 1.84666 ν 8 = 23.78 r 16 = 1554.4198 d 16 = 7.7963 r 17 = 60.9381 d 17 = 3.6000 n 9 = 1.69680 ν 9 = 55.52 r 18 = -18.9727 d 18 = 0.1500 r 19 = 22.8935 d 19 = 3.2000 n 10 = 1.69680 ν 10 = 55.52 r 20 = -46.9645 d 20 = 0.7500 r 21 = -19.7470 d 21 = 1.5000 n 11 = 1.84666 ν 11 = 23.78 r 22 = -122.5983 d 22 = 2.000 r 23 = ∞ d 23 = 10.1000 n 12 = 1.51633 ν 12 = 64.15 r 24 = ∞ d 24 = 5.1000 n 13 = 1.54771 v 13 = 62.83 r 25 = ∞ d 25 = 1.2100 r 26 = d 26 = 0.6000 n 14 = 1.48749 ν 14 = 70.20 r 27 = ∞ f 9.27 15.58 26.19 D 1 0.600 7.777 13.792 D 2 0.800 1.445 0.800 D 3 14.492 6.670 1.300 β 2S = −0.387, | f II III | / f W = 1.311 ν 3P = 23.78, (D 2W −D 2T ) / f S = 0.0 Example 7 f = 9 to 27 mm, F / 2.8, 2ω = 48.7 ゜ to 18.2 ゜ r 1 = 20.6095 d 1 = 1.5000 n 1 = 1.84666 ν 1 = 23.78 r 2 = 15.2707 d 2 = 0.3800 r 3 = 16.2427 d 3 = 5.5000 n 2 = 1.69680 v 2 = 55.52 r 4 = 724.6233 d 4 = D 1 (variable) r 5 = 53.2280 d 5 = 0.9000 n 3 = 1.83400 v 3 = 37.16 r 6 = 8.9415 d 6 = 2.3000 r 7 = − 17.1990 d 7 = 0.9000 n 4 = 1.69680 ν 4 = 55.52 r 8 = 26.1266 d 8 = D 2 ( variable) r 9 = 22.1635 d 9 = 2.5000 n 5 = 1.84666 ν 5 = 23.78 r 10 = -24.0000 d 10 = 1.0000 n 6 = 1.69680 v 6 = 55.52 r 11 = −155.8588 d 11 = D 3 (variable) r 12 = ∞ (aperture) d 12 = 1.5000 r 13 = 10.0584 d 13 = 5.8930 n 7 = 1.70154 v 7 = 41.21 r 14 = -35.7295 d 14 = 0.5000 r 15 = -12.5150 d 15 = 1.0000 n 8 = 1.84666 ν 8 = 23.78 r 16 = 12.4372 d 16 = 1.7958 r 17 = 50.5874 d 17 = 3.2000 n 9 = 1.69350 ν 9 = 53.23 r 18 = -12.7714 d 18 = 0.1500 r 19 = 25.2199 d 19 = 2.3000 n 10 = 1.69350 ν 10 = 53.23 r 20 = -40.8570 d 20 = 4.000 r 21 = ∞ d 21 = 10.1000 n 11 = 1.51633 ν 11 = 64.15 r 22 = ∞ d 22 = 5.1000 n 12 = 1.54771 ν 12 = 62.83 r 23 = ∞ d 23 = 1.2100 r 24 = ∞ d 24 = 0.6000 n 13 = 1.48749 ν 13 = 70.20 r 25 = ∞ f 9.27 15.58 26.19 D 1 0.600 7.332 12.821 D 2 0.800 1.465 0.800 D 3 13.521 6.125 1.300 β 2S = −0.407, | f II III | / f W = 1.214 ν 3P = 23.78, (D 2W −D 2T ) / f S = 0.0 Example 8 f = 9 to 27 mm, F / 2.8, 2ω = 48.7 ゜ to 18.2 ゜ r 1 = 20.3585 d 1 = 1.5000 n 1 = 1.84666 ν 1 = 23.78 r 2 = 15.4113 d 2 = 0.3200 r 3 = 16.3678 d 3 = 5.2000 n 2 = 1.69680 v 2 = 55.52 r 4 = 289.7401 d 4 = D 1 (variable) r 5 = 53.8105 d 5 = 0.9000 n 3 = 1.83400 v 3 = 37.16 r 6 = 8.8546 d 6 = 2.3000 r 7 = − 18.1138 d 7 = 0.9000 n 4 = 1.69680 ν 4 = 55.52 r 8 = 36.9531 d 8 = D 2 ( variable) r 9 = 22.7181 d 9 = 2.2000 n 5 = 1.84666 ν 5 = 25.78 r 10 = -24.0000 d 10 = 1.0000 n 6 = 1.69680 v 6 = 55.52 r 11 = 44346.8880 d 11 = D 3 (variable) r 12 = ∞ (aperture) d 12 = 1.5000 r 13 = 10.7102 d 13 = 6.2055 n 7 = 1.70154 v 7 = 41.21 r 14 = -23.6782 d 14 = 0.2000 r 15 = -14.1954 d 15 = 1.0000 n 8 = 1.84666 ν 8 = 23.78 r 16 = 13.9290 d 16 = 2.8026 r 17 = 17.4080 ( aspherical) d 17 = 5.0000 n 9 = 1.69680 ν 9 = 55.52 r 18 = -11.4365 d 18 = 4.0000 r 19 = ∞ d 19 = 10.1000 n 10 = 1.51633 ν 10 = 64.15 r 20 = ∞ d 20 = 5.1000 n 11 = 1.54771 ν 11 = 62.83 r 21 = ∞ d 21 = 1.2100 r 22 = ∞ d 22 = 0.6000 n 12 = 1.48749 ν 12 = 70.20 r 23 = ∞ aspherical coefficients A 4 = -0.26854 x 10 -3 , A 6 = 0.13179 x 10 -5 A 8 = -0.28548 x 10 -7 f 9.27 15.58 26.19 D 1 0.600 7.630 13.116 D 2 0.800 1.582 0.800 D 3 13.816 6.004 1.300 β 2S = -0.434 , | f II III | / f W = 1.243 ν 3P = 23.78, (D 2W −D 2T ) / f S = 0.0 Example 9 f = 9 to 54 mm, F / 1.4, 2ω = 48.7 ゜ to 9.2 ゜ r 1 = 133.2040 d 1 = 1.5000 n 1 = 1.80518 ν 1 = 25.43 r 2 = 59.2562 d 2 = 6.5000 n 2 = 1.60311 ν 2 = 60.70 r 3 = −218.4745 d 3 = 0.1500 r 4 = 46.7875 d 4 = 4.3000 n 3 = 1.69680 ν 3 = 55.52 r 5 = 136.2198 d 5 = D 1 (variable) r 6 = 74.8595 d 6 = 0.9000 n 4 = 1.83400 ν 4 = 37.16 r 7 = 16.5062 d 7 = 4.3000 r 8 = −22.9074 d 8 = 0.9000 n 5 = 1.69690 ν 5 = 55.52 r 9 = 161.7260 d 9 = D 2 (variable) r 10 = 53.4934 d 10 = 3.0000 n 6 = 1.84666 ν 6 = 23.78 r 11 = −39.3515 d 11 = 1.0000 n 7 = 1.69680 ν 7 = 55.52 r 12 = 368.8143 d 12 = D 3 (variable) r 13 = ∞ (aperture) d 13 = 2.0000 r 14 = 19.8034 d 14 = 4.5000 n 8 = 1.77250 ν 8 = 49.66 r 15 = -59.8241 d 15 = 0.7500 r 16 = -27.0622 d 16 = 1.0000 n 9 = 1.84666 ν 9 = 23.78 r 17 = 4023.1309 d 17 = 9.5718 r 18 = 70.2215 d 18 = 4.5000 n 10 = 1.69680 ν 10 = 55.52 r 19 = -27.0510 d 19 = 0.15 00 r 20 = 20.5147 d 20 = 3.0000 n 11 = 1.69680 v 11 = 55.52 r 21 = 204.7427 d 21 = 1.6000 r 22 = -22.7 450 d 22 = 1.0000 n 12 = 1.84666 v 12 = 23.78 r 23 = -134.7313 d 23 = 4.0000 r 24 = ∞ d 24 = 8.0000 n 13 = 1.51633 ν 13 = 64.15 r 25 = ∞ d 25 = 5.1000 n 14 = 1.54771 ν 14 = 62.83 r 26 = ∞ f 9.27 22.04 52.38 D 1 0.600 20.994 34.882 D 2 0.800 6.621 0.800 D 3 35.582 9.367 1.300 β 2S = −0.499, | f II III | / f W = 1.890 ν 3P = 23.78, (D 2W −D 2T ) / f S = 0.0 Example 10 f = 8 to 24 mm, F / 2.8, 2ω = 54.0 ° to 20.5 ° r 1 = 73.2004 d 1 = 1.6000 n 1 = 1.84666 ν 1 = 23.78 r 2 = 38.6631 d 2 = 4.1000 n 2 = 1.60311 ν 2 = 60.70 r 3 = -296.7193 d 3 = 0.1500 r 4 = 25.2092 d 4 = 3.6000 n 3 = 1.71300 ν 3 = 53.84 r 5 = 96.0259 d 5 = D 1 (variable) r 6 = 42.4751 d 6 = 0.9000 n 4 = 1.83400 ν 4 = 37.16 r 7 = 8.9245 d 7 = 3.2000 r 8 = -14.4872 d 8 = 0.9000 n 5 = 1.69680 ν 5 = 55.52 r 9 = 13.1736 d 9 = 2.1000 n 6 = 1.84666 ν 6 = 23.78 r 10 = 99.3340 d 10 = D 2 (variable) r 11 = 38.3565 d 11 = 1.6000 n 7 = 1.84666 ν 7 = 23.78 r 12 = -147.1026 d 12 = D 3 ( variable) r 13 = ∞ (stop) d 13 = 1.5000 r 14 = 12.2431 d 14 = 6.0144 n 8 = 1.76200 ν 8 = 40.10 r 15 = -28.0696 d 15 = 0.2700 r 16 = -12.3996 d 16 = 1.4455 n 9 = 1.84666 ν 9 = 23.78 r 17 = 12.7019 d 17 = 2.8178 r 18 = 52.4534 d 18 = 3.5000 n 10 = 1.69680 ν 10 = 55.52 r 19 = -12.2285 d 19 = 0.1500 r 2 0 = 30.2496 d 20 = 2.5000 n 11 = 1.69680 ν 11 = 55.52 r 21 = -43.4650 d 21 = 4.5000 r 22 = ∞ d 22 = 7.9000 n 12 = 1.51633 ν 12 = 64.15 r 23 = ∞ d 23 = 1.2000 n 13 = 1.51633 ν 13 = 64.15 r 24 = ∞ d 24 = 5.1000 n 14 = 1.54771 ν 14 = 62.83 r 25 = ∞ d 25 = 0.9000 r 26 = ∞ d 26 = 0.7000 n 15 = 1.51633 ν 15 = 64.15 r 27 = ∞ d 27 = 0.3100 r 28 = ∞ d 28 = 0.6000 n 16 = 1.48749 ν 16 = 70.20 r 29 = f f 8.24 13.85 23.28 D 1 0.600 7.689 13.162 D 2 0.930 2.138 0.800 D 3 13.732 5.436 1.300 β 2S = -0.524, | f II III | / f W = 1.416 ν 3P = 23.78, (D 2W −D 2T ) / f S = 0.094 Example 11 f = 9 to 27 mm, F / 2.8, 2ω = 48.7 ゜ to 18.2 ゜ r 1 = 20.9352 d 1 = 1.6000 n 1 = 1.84666 ν 1 = 23.78 r 2 = 15.6111 d 2 = 0.4000 r 3 = 16.5677 d 3 = 5.9000 n 2 = 1.69680 v 2 = 55.52 r 4 = 396.9886 d 4 = D 1 (variable) r 5 = 42.8369 d 5 = 0.9000 n 3 = 1.80610 v 3 = 40.95 r 6 = 8.8637 d 6 = 2.8000 r 7 = − 16.5604 d 7 = 0.9000 n 4 = 1.69680 ν 4 = 55.52 r 8 = 15.4214 d 8 = 1.7000 n 5 = 1.84666 ν 5 = 23.78 r 9 = 55.2065 d 9 = D 2 (variable) r 10 = 42.2632 d 10 = 1.6000 n 6 = 1.84666 ν 6 = 23.78 r 11 = -96.0817 d 11 = D 3 (variable) r 12 = ∞ (aperture) d 12 = 1.5000 r 13 = 11.2213 d 13 = 4.9431 n 7 = 1.74950 ν 7 = 35.27 r 14 = -16.9103 d 14 = 0.2700 r 15 = -11.2281 d 15 = 1.0000 n 8 = 1.84666 ν 8 = 23.78 r 16 = 12.0808 d 16 = 2.4357 r 17 = 43.8514 d 17 = 3.4000 n 9 = 1.69680 ν 9 = 55.52 r 18 = -12.2893 d 18 = 0.1500 r 19 = 40.3001 d 19 = 2.0000 n 10 = 1.69680 ν 10 = 55.52 r 20 -52.7041 d 20 = 4.5000 r 21 = ∞ d 21 = 7.9000 n 11 = 1.51633 ν 11 = 64.15 r 22 = ∞ d 22 = 1.2000 n 12 = 1.51633 ν 12 = 64.15 r 23 = ∞ d 23 = 5.1000 n 13 = 1.54771 ν 13 = 62.83 r 24 = ∞ d 24 = 0.9000 r 25 = ∞ d 25 = 0.7000 n 14 = 1.51633 ν 14 = 64.15 r 26 = ∞ d 26 = 0.3100 r 27 = ∞ d 27 = 0.6000 n 15 = 1.48749 ν 15 = 70.20 r 28 = ∞ f 9.27 15.58 26.19 D 1 0.600 7.569 13.030 D 2 0.930 2.122 0.800 D 3 13.600 5.439 1.300 β 2S = −0.522, | f II III | / f W = 1.246 ν 3P = 23.78, (D 2W − D 2T ) / f S = 0.0083 Example 12 f = 9 to 27 mm, F / 2.8, 2ω = 48.7 ゜ to 18.2 ゜ r 1 = 21.0708 d 1 = 1.6000 n 1 = 1.84666 ν 1 = 23.78 r 2 = 15.4497 d 2 = 0.3000 r 3 = 16.3292 d 3 = 5.7000 n 2 = 1.69680 v 2 = 55.52 r 4 = 709.5292 d 4 = D 1 (variable) r 5 = 55.3981 d 5 = 0.9000 n 3 = 1.69580 v 3 = 55.52 r 6 = 8.3563 d 6 = 2.4000 r 7 = − 17.9562 d 7 = 0.9000 n 4 = 1.69680 ν 4 = 55.52 r 8 = 11.8475 d 8 = 1.9000 n 5 = 1.84666 ν 5 = 23.78 r 9 = 45.7885 d 9 = D 2 ( variable) r 10 = 33.3223 d 10 = 1.5000 n 6 = 1.69680 ν 6 = 55.52 r 11 = -174.6557 d 11 = D 3 (variable) r 12 = ∞ (aperture) d 12 = 1.5000 r 13 = 10.8481 d 13 = 5.2096 n 7 = 1.74950 ν 7 = 35.27 r 14 = -17.7465 d 14 = 0.2100 r 15 = -11.3031 d 15 = 0.9440 n 8 = 1.84666 ν 8 = 23.78 r 16 = 11.3031 d 16 = 2.9153 r 17 = 47.7945 d 17 = 3.5000 n 9 = 1.69680 ν 9 = 55.52 r 18 = -12.0729 d 18 = 0.1500 r 19 = 40.1164 d 19 = 2.0000 n 10 = 1.69680 ν 10 = 55.52 r 20 -50.1483 d 20 = 4.9500 r 21 = ∞ d 21 = 9.8000 n 11 = 1.51633 ν 11 = 64.15 r 22 = ∞ d 22 = 5.1000 n 12 = 1.54771 ν 12 = 62.83 r 23 = ∞ d 23 = 1.2100 r 24 = ∞ d 24 = 0.6000 n 13 = 1.48749 ν 13 = 70.20 r 25 = f f 9.27 15.58 26.19 D 1 0.600 7.416 12.830 D 2 0.930 2.414 0.800 D 3 13.400 5.100 1.300 β 2S = -0.562, | f II III | / f W = 1.224 ν 3P = 55.52, (D 2W −D 2T ) / f S = 0.0083 However r 1, r 2, ... are radii of curvature of each lens surface, d 1, d 2, ... is the thickness and lens distance of each lens, n 1, n 2, ... is the refractive index of each lens, [nu 1, ν 2 ,... are Abbe numbers of the respective lenses.

これら実施例1乃至実施例12は夫々第1図乃至第12図
に示すレンズ構成である。又各実施例の広角端,中間焦
点距離,望遠端における収差状況は、実施例1が夫々第
13図,第14図,第15図、実施例2が夫々第16図,第17
図,第18図、実施例3が夫々第19図,第20図,第21図、
実施例4が夫々第22図,第23図,第24図、実施例5が夫
々第25図,第26図,第27図、実施例6が夫々第28図,第
29図,第30図、実施例7が夫々第31図,第32図,第33
図、実施例8が夫々第34図,第35図,第36図、実施例9
が夫々第37図,第38図,第39図、実施例10が夫々第40
図,第41図,第42図、実施例11が夫々第43図,第44図,
第45図、実施例12が夫々第46図,第47図,第48図に示す
通りである。
Examples 1 to 12 have the lens configurations shown in FIGS. 1 to 12, respectively. The aberration conditions at the wide-angle end, the intermediate focal length, and the telephoto end in each embodiment are described in the first embodiment.
13, FIG. 14, FIG. 15, and Embodiment 2 correspond to FIG. 16, FIG.
FIG. 18, FIG. 18, and Embodiment 3 show FIGS. 19, 20, and 21, respectively.
Embodiment 4, FIG. 22, FIG. 23, and FIG. 24, respectively, FIG. 25, FIG. 26, and FIG.
29, FIG. 30, and Embodiment 7 correspond to FIGS. 31, 32, 33, respectively.
FIG. 34, FIG. 35, FIG. 36, and Embodiment 9 correspond to FIG.
Are respectively shown in FIGS. 37, 38 and 39, and the tenth embodiment is shown in FIG.
FIG. 41, FIG. 42, and FIG.
FIG. 45 and Embodiment 12 are as shown in FIGS. 46, 47 and 48, respectively.

[発明の効果] 本発明のズームレンズは、広角端の画角が49゜程度、
変倍比が3〜6、Fナンバーが1.4〜2.8クラスであるに
も拘らず、新規な構成あるいは新規なズーミングの際の
レンズ群の動きを採用することによって極めて少ない枚
数にて構成し得たものである。更に全長が短く、前玉径
が小で小型軽量なレンズ系で、結像特性の良好なズーム
レンズである。
[Effect of the Invention] The zoom lens according to the present invention has an angle of view of about 49 ° at the wide-angle end,
Despite having a zoom ratio of 3 to 6 and an F-number of 1.4 to 2.8 class, it was possible to construct with a very small number of lenses by adopting a new configuration or a new movement of the lens group during zooming. Things. Further, the zoom lens has a short overall length, a small front lens diameter, a small size and light weight, and excellent imaging characteristics.

【図面の簡単な説明】[Brief description of the drawings]

第1図乃至第12図は夫々本発明の実施例1乃至実施例12
の断面図、第13図乃至第48図は各実施例の収差曲線図で
ある。
1 to 12 show Embodiments 1 to 12 of the present invention, respectively.
13 to 48 are aberration curve diagrams of each embodiment.

Claims (3)

(57)【特許請求の範囲】(57) [Claims] 【請求項1】物体側から順に、正の屈折力を有する第1
群と、最も物体側の面が凸面であり変倍時に光軸に沿っ
て可動で負の屈折力を有する第2群と、変倍時に光軸に
沿って第2群と僅かに異なる動きをする正の屈折力を有
する第3群と、常時固定で正の屈折力を有する第4群と
より構成され、前記第2群に1枚の正レンズを含むかま
たは前記第3群に1枚の負レンズを含むレンズ系であっ
て、次の各条件を満足することを特徴とするズームレン
ズ。 (1) 0.2<|β2S|<0.7 (2) 1.0<|fII III|/fW<2.2 (3) ν3P<63 (4) −0.06<(D2W−D2T)/fS<0.16 ただしβ2Sは全系の焦点距離が (fW,fTは夫々広角端,望遠端における全系の焦点距
離)の時の第2群の倍率、fII IIIは望遠端における第
2群と第3群の合成焦点距離、D2Wは広角端における第
2群と第3群の間隔、D2Tは望遠端における第2群と第
3群の間隔、ν3Pは第3群の正レンズのアッベ数であ
る。
1. A first lens having a positive refractive power in order from the object side.
A second group having a negative refractive power that is movable along the optical axis at the time of zooming, and a slightly different movement along the optical axis during zooming. A third lens unit having a positive refractive power, and a fourth lens unit having a fixed refractive power and a fixed refractive power. The second lens unit includes one positive lens, or the third lens unit includes one positive lens. A zoom lens comprising a negative lens according to the above, wherein the following conditions are satisfied. (1) 0.2 <| β 2S | <0.7 (2) 1.0 <| f II III | / f W <2.2 (3) ν 3P <63 (4) −0.06 <(D 2W −D 2T ) / f S < 0.16 However, β 2S has a focal length of the whole system (F W, f T are each wide angle end, the focal length of the entire system at the telephoto end) the second group of magnification when, f II III is the composite focal length of the second and third lens groups at the telephoto end, D 2W Is the distance between the second and third groups at the wide-angle end, D2T is the distance between the second and third groups at the telephoto end, and ν3P is the Abbe number of the positive lens of the third group.
【請求項2】以下の条件(5)を満足する請求項1のズ
ームレンズ。 ただしfIIIは第3群の焦点距離である。
2. The zoom lens according to claim 1, wherein the following condition (5) is satisfied. Where f III is the focal length of the third lens unit.
【請求項3】第4群がトリプレットタイプである請求項
1又は2のズームレンズ。
3. The zoom lens according to claim 1, wherein the fourth group is a triplet type.
JP63293524A 1988-09-07 1988-11-22 Zoom lens Expired - Fee Related JP2596817B2 (en)

Priority Applications (2)

Application Number Priority Date Filing Date Title
JP63293524A JP2596817B2 (en) 1988-09-07 1988-11-22 Zoom lens
US07/403,394 US4969721A (en) 1988-09-07 1989-09-06 Zoom lens system

Applications Claiming Priority (3)

Application Number Priority Date Filing Date Title
JP22221488 1988-09-07
JP63-222214 1988-09-07
JP63293524A JP2596817B2 (en) 1988-09-07 1988-11-22 Zoom lens

Publications (2)

Publication Number Publication Date
JPH02167518A JPH02167518A (en) 1990-06-27
JP2596817B2 true JP2596817B2 (en) 1997-04-02

Family

ID=26524752

Family Applications (1)

Application Number Title Priority Date Filing Date
JP63293524A Expired - Fee Related JP2596817B2 (en) 1988-09-07 1988-11-22 Zoom lens

Country Status (1)

Country Link
JP (1) JP2596817B2 (en)

Families Citing this family (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP4194876B2 (en) * 2003-04-22 2008-12-10 株式会社タムロン Zoom lens

Family Cites Families (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
FR2466785A1 (en) * 1979-09-28 1981-04-10 Philips Nv VARIABLE FOCAL OBJECTIVE FOLLOWING LARGE REPORTS COMPRISING ASPHERIC SURFACES

Also Published As

Publication number Publication date
JPH02167518A (en) 1990-06-27

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