JPH0894928A - Image transmission optical system - Google Patents
Image transmission optical systemInfo
- Publication number
- JPH0894928A JPH0894928A JP25730494A JP25730494A JPH0894928A JP H0894928 A JPH0894928 A JP H0894928A JP 25730494 A JP25730494 A JP 25730494A JP 25730494 A JP25730494 A JP 25730494A JP H0894928 A JPH0894928 A JP H0894928A
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- optical system
- image
- aspherical
- lens
- spherical aberration
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Abstract
Description
【０００１】[0001]
【産業上の利用分野】本発明は、硬性部を有する内視
鏡、医療用硬性鏡、工業用硬性鏡、固体撮像素子等を内
蔵するビデオスコープ、ビデオ硬性鏡に用いる像伝達光
学系に関するものである。BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to an endoscope having a rigid portion, a medical rigid scope, an industrial rigid scope, a videoscope incorporating a solid-state image sensor, and an image transmission optical system used for the video rigid scope. Is.
【０００２】[0002]
【従来の技術】像伝送光学系の従来例として図３３に示
すような構成の特開昭５１−６８２４２号公報に記載さ
れた光学系が知られている。この像伝送光学系は、対物
レンズＯによる物体像をフィールドレンズＦ中に結像
し、これを各リレーレンズＲにより順次結像して行く構
成である。又各リレーレンズＲとフィールドレンズＦの
間にはガラスブロックＢが配置されている。この像伝送
光学系は、リレーレンズＲにより発生する負の非点収差
Δｍと正の像面湾曲ΔｓをガラスブロックＢで発生する
正の非点収差Δｍと負の像面湾曲で打消して収差を減少
させている。又ガラスブロックＢの配置によりガラスブ
ロックの屈折率をｎとすると明るさをｎ2倍にするよう
にしている。2. Description of the Related Art As a conventional example of an image transmission optical system, there is known an optical system described in Japanese Patent Application Laid-Open No. 51-68242, which is constructed as shown in FIG. This image transmission optical system is configured such that an object image formed by the objective lens O is formed in the field lens F, and then formed by the relay lenses R in sequence. Further, a glass block B is arranged between each relay lens R and field lens F. In this image transmission optical system, the negative astigmatism Δm and the positive field curvature Δs generated by the relay lens R are canceled by the positive astigmatism Δm and the negative field curvature generated by the glass block B, and aberration is generated. Is decreasing. Further, by disposing the glass block B, the brightness is made n 2 times as large as the refractive index of the glass block is n.
【０００３】しかし、この従来例では、リレーレンズＲ
で発生する負の球面収差をガラスブロックＢにより補正
することは出来ず、像伝送回数の増加に伴い大になって
行く。However, in this conventional example, the relay lens R
The negative spherical aberration that occurs in 1 cannot be corrected by the glass block B, and becomes large as the number of image transmissions increases.
【０００４】上記従来の像伝送光学系の１回リレーを行
なうリレーレンズは、図３４に示す構成で下記のデータ
ーを有する。 ｆ＝-12.577 ，Ｆナンバー＝9.39 ，像高＝0.7 ｒ1 ＝∞ ｄ1 ＝3.0000 ｎ1 ＝1.51633 ν1 ＝64.15 ｒ2 ＝-3.8560 ｄ2 ＝1.3000 ｒ3 ＝∞ ｄ3 ＝24.0000 ｎ2 ＝1.51633 ν2 ＝64.15 ｒ4 ＝∞ ｄ4 ＝1.0000 ｒ5 ＝8.0840 ｄ5 ＝1.0000 ｎ3 ＝1.69895 ν3 ＝30.12 ｒ6 ＝3.3990 ｄ6 ＝3.0000 ｎ4 ＝1.58900 ν4 ＝48.61 ｒ7 ＝-13.7800 ｄ7 ＝1.0000 ｒ8 ＝∞ ｄ8 ＝24.0000 ｎ5 ＝1.51633 ν5 ＝64.15 ｒ9 ＝∞ ｄ9 ＝1.0500 ｒ10＝10.1050 ｄ10＝3.0000 ｎ6 ＝1.51633 ν6 ＝64.15 ｒ11＝∞ この１回リレーのリレーレンズの球面収差は図３５に示
す通りであり、又３次および５次の球面収差係数は下記
の通りである。The relay lens for performing the one-time relay of the above-mentioned conventional image transmission optical system has the following data with the configuration shown in FIG. f = -12.577, F-number = 9.39, the image height = 0.7 r 1 = ∞ d 1 = 3.0000 n 1 = 1.51633 ν 1 = 64.15 r 2 = -3.8560 d 2 = 1.3000 r 3 = ∞ d 3 = 24.0000 n 2 = 1.51633 ν 2 = 64.15 r 4 ＝ ∞ d 4 = 1.0000 r 5 ＝ 8.0840 d 5 = 1.0000 n 3 ＝ 1.69895 ν 3 ＝ 30.12 r 6 ＝ 3.3990 d 6 ＝ 3.0000 n 4 ＝ 1.58900 ν 4 ＝ 48.61 r 7 ＝ -13.7800 d 7 = 1.0000 r 8 = ∞ d 8 = 24.0000 n 5 = 1.51633 ν 5 = 64.15 r 9 = ∞ d 9 = 1.0500 r 10 = 10.1050 d 10 = 3.0000 n 6 = 1.51633 ν 6 = 64.15 r 11 = ∞ this 1 The spherical aberration of the relay lens of the spiral relay is as shown in FIG. 35, and the third-order and fifth-order spherical aberration coefficients are as follows.
【０００５】 Ｋ ３次の球面収差係数 Ｋ ５次の球面収差係数 １ ０．０００００ １ ０．０００００ ２ ０．０００００ ２ ０．０００００ ３ −０．００００１ ３ ０．０００００ ４ ０．００００６ ４ ０．０００００ ５ −０．００１７８ ５ −０．００００２ ６ ０．００２０７ ６ ０．０００１１ ７ −０．０００６０ ７ ０．０００００ ８ ０．００００６ ８ ０．０００００ ９ −０．００００１ ９ ０．０００００ １０ ０．０００００ １０ ０．０００００ １１ ０．０００００ １１ ０．０００００ トータル −０．０００２１ トータル ０．００００９ 図３５からわかるように、ＮＡの増加に伴いｄ線の負の
球面収差が増大し、像伝送回数が増加するとこの負の球
面収差が加算され負の方向に大になる。例えば像伝送回
数が５回になると球面収差は図３６のようになる。K 3rd-order spherical aberration coefficient K 5th-order spherical aberration coefficient 1 0.00000 1 0.00000 2 0.00000 2 0.00000 3 -0.00001 3 0.00000 4 0.00006 4 0.00000 5-0.00178 5-0.00002 6 0.00207 6 0.00011 7 -0.00060 7 0.00000 8 0.00006 8 0.00000 9 -0.00001 9 0.00000 10 0.00000 10 0 As shown in FIG. 35, as the NA increases, the negative spherical aberration of the d-line increases, and as the number of times of image transmission increases, the negative spherical aberration of 0.000000 11 0.00000 11 0.00000 total −0.00021 total 0.00009 The spherical aberration of is added and becomes large in the negative direction. For example, when the number of image transmissions is 5, spherical aberration becomes as shown in FIG.
【０００６】又前記の３次の球面収差係数からわかるよ
うに、リレーレンズＲの各面ｒ5，ｒ6 ，ｒ7 の収差係
数の和はマイナスであり、フィールドレンズＦ（ｒ1 ，
ｒ 2 ；ｒ10，ｒ11）、ガラスブロックＢ（ｒ3 ，ｒ4 ；
ｒ8 ，ｒ9 ）には、リレーレンズＲの各面の負の球面収
差係数を補正する作用は有していない。また５次の収差
係数の和はプラスであり、ＮＡの増加にともない球面収
差がプラス側へ若干曲がっているのはこの高次の収差係
数のためである。It can be seen from the above-mentioned third-order spherical aberration coefficient.
Sea urchin, each surface of relay lens RFive, R6 , R7 Aberration of
The sum of the numbers is negative, and the field lens F (r1 ，
r 2 ; RTen, R11), Glass block B (r3 , RFour ;
r8 , R9 ) Is the negative spherical surface convergence of each surface of the relay lens R.
It has no function of correcting the difference coefficient. 5th order aberration
The sum of the coefficients is positive, and the spherical surface convergence increases with the increase of NA.
The difference slightly bends to the positive side is due to this higher-order aberration
Because of the numbers.
【０００７】ここで収差係数について説明する。ザイデ
ルの収差係数を次の式（ａ），（ｂ）のように定義す
る。これは汎用レンズ設計プログラムＡＣＣＯＳ−Ｖで
用いられているものと同じものである。ただしＡＣＣＯ
Ｓ−Ｖでは、物体距離をＯＢ，マージナル光線の開口数
をＮＡ，第１面より物体側の媒質の屈折率をｎ0 とした
時、近軸光線の第１面における光線高Ｈ0 が Ｈ0 ＝ＯＢ×tan ｛sin-1 （ＮＡ／ｎ0 ）｝ にて決まるのに対して、本願においては Ｈ0 ＝ＯＢ×ＮＡ／ｎ0 にて決まる。したがって、本願においては後者で決まる
Ｈ0 をもって近軸追跡を行なって各収差を求めている。 メリジオナル光線（Ｘ’＝０）に対して ΔＹ＝（ＳＡ３）Ｈ’＋（ＣＭＡ３）Ｙ’Ｈ’2 ＋｛３（ＡＳＴ３）＋（ＰＴＺ３）｝Ｙ’2 Ｈ’＋（ＤＩＳ３）Ｙ’3 ＋（ＳＡ５）Ｈ’5 ＋（ＣＭＡ５）Ｙ’Ｈ4 ＋（ＴＯＢＳＡ）Ｙ’2 Ｈ’3 ＋（ＥＬＣＭＡ）Ｙ’3 Ｈ’2 ＋｛５（ＡＳＴ５）＋（ＰＴＺ５）｝Ｙ’4 Ｈ’＋（ＤＩＳ５）Ｙ’5 ＋（ＳＡ７）Ｈ’7 ・・・・・（ａ） サジタル光線（Ｙ’＝０）に対して ΔＺ＝（ＳＡ３）Ｈ’3 ＋｛（ＡＳＴ３）＋（ＰＴＺ３）｝Ｚ’2 Ｈ’ ＋（ＳＡ５）Ｈ’5 ＋（ＳＯＢＳＡ）Ｚ’2 Ｈ’3 ＋｛（ＡＳＴ５）＋（ＰＴＺ５）｝Ｚ’4 Ｈ’＋（ＳＡ７）Ｈ’7 ・・・・・（ｂ） 上記の式（ａ）はメリジオナル光線に対して近軸像点
（収差がない時の像点）と実際の像点とのずれをΔＹと
したもので、Ｙ’は最大像高で規格化した像面における
近軸主光線の入射位置、Ｈ’は瞳面における瞳径で規格
化したマージナル光線の入射位置である。またＳＡ３，
ＳＡ５，ＳＡ７は夫々３次，５次，７次の球面収差、Ｃ
ＭＡ３，ＣＭＡ５は夫々３次，５次のタンジェンシャル
コマ、ＡＳＴ３，ＡＳＴ５は夫々３次，５次の非点収
差、ＰＴＺ３，ＰＴＺ５は夫々３次，５次のペッツバー
ル和、ＤＩＳ３，ＤＩＳ５は３次，５次の歪曲収差、Ｔ
ＯＢＳＡは５次の斜方向のタンジェンシャル球面収差、
ＥＬＣＭＡは５次の楕円コマ、ＳＯＢＳＡは５次の斜方
向のサジタル球面収差である。The aberration coefficient will be described here. The Seidel aberration coefficient is defined by the following equations (a) and (b). This is the same as that used in the general-purpose lens design program ACCOS-V. However, ACCO
In SV, when the object distance is OB, the numerical aperture of the marginal ray is NA, and the refractive index of the medium on the object side of the first surface is n 0 , the ray height H 0 of the paraxial ray on the first surface is H. While 0 = OB × tan {sin −1 (NA / n 0 )}, it is determined by H 0 = OB × NA / n 0 in the present application. Therefore, in the present application, paraxial tracking is performed with H 0 determined by the latter to obtain each aberration. ΔY = (SA3) H ′ + (CMA3) Y′H ′ 2 + {3 (AST3) + (PTZ3)} Y ′ 2 H ′ + (DIS3) Y ′ 3 for the meridional ray (X ′ = 0) + (SA5) H '5 + (CMA5) Y'H 4 + (TOBSA) Y' 2 H '3 + (ELCMA) Y' 3 H '2 + {5 (AST5) + (PTZ5)} Y' 4 H '+ (DIS5) Y' 5 + (SA7) H ' 7 (a) For sagittal ray (Y' = 0) ΔZ = (SA3) H ' 3 + {(AST3) + (PTZ3 )} Z '2 H' + (SA5) H '5 + (SOBSA) Z' 2 H '3 + {(AST5) + (PTZ5)} Z' 4 H '+ (SA7) H' 7 ···· (B) In the above equation (a), the deviation between the paraxial image point (image point when there is no aberration) and the actual image point for the meridional ray is ΔY, and Y ′ is the maximum image height. In the image plane standardized by The incident position of the paraxial chief ray, H ′ is the incident position of the marginal ray normalized by the pupil diameter on the pupil plane. Also SA3
SA5 and SA7 are spherical aberrations of the 3rd, 5th and 7th orders, respectively, and C
MA3 and CMA5 are 3rd and 5th tangential coma respectively, AST3 and AST5 are 3rd and 5th astigmatism respectively, PTZ3 and PTZ5 are 3rd and 5th order Petzval sums, and DIS3 and DIS5 are 3rd order. , 5th-order distortion, T
OBSA is the tangential spherical aberration of the 5th oblique direction,
ELCMA is a fifth-order elliptical coma, and SOBSA is a fifth-order oblique sagittal spherical aberration.
【０００８】近年、硬性鏡においては、光源の明るさの
向上や接眼側に着脱できるテレビカメラの感度の向上が
めざましく、使用環境によっては、明るすぎてテレビモ
ニター上で像が白くとんでしまう現象が起こる。この点
を改良するために、例えば接眼側に着脱可能なテレビカ
メラ内にオートアイリス機構を組込んだものが知られて
いる。このオートアイリス機構によりテレビカメラの撮
像素子に到達する光の明るさがあるレベル以上になると
絞りが自動的に絞り込まれて被写界深度や解像力がよく
なるようになっている。特に硬性鏡は、被写体に近づく
と被写体からの反射光が強くなり絞り込みが必要にな
る。ここでオートアイリス機構が働くと、常に明るさが
最適に保たれるだけでなく被写界深度が増し近くの被写
体にピントが合い易くなる。In recent years, in the case of a rigid endoscope, the brightness of the light source is improved and the sensitivity of the television camera which can be attached to and detached from the eyepiece is remarkably improved. Depending on the environment of use, the image is too bright and the image appears white on the TV monitor. Happens. In order to improve this point, there is known, for example, one in which an auto iris mechanism is incorporated in a television camera which is detachable on the eyepiece side. With this auto iris mechanism, when the brightness of the light reaching the image pickup element of the television camera exceeds a certain level, the diaphragm is automatically narrowed down to improve the depth of field and the resolution. Particularly in the case of a rigid endoscope, the light reflected from the subject becomes stronger as it approaches the subject, and it is necessary to narrow down the aperture. When the auto iris mechanism works here, not only the brightness is always kept optimal, but also the depth of field increases and it becomes easier to focus on a nearby subject.
【０００９】ここで前記の従来のリレーレンズで像伝送
回数が５回の場合の球面収差とＭＴＦを図３６に示す。
この図３６において、（Ａ），（ａ）は絞り開放、
（Ｂ），（ｂ）は明るさ1/2 、（Ｃ），（ｃ）は明るさ
1/4 の場合を示す。又（Ａ），（Ｂ），（Ｃ）は球面収
差カーブ、（ａ），（ｂ），（ｃ）はＭＴＦを示す。図
３６の（ａ），（ｂ），（ｃ）において縦軸にコントラ
スト（解像力）、横軸にピント像面をとっており、像面
上の任意の周波数の特性を示している。図３６の（ａ）
では周波数１００本／ｍｍのコントラストは、ピント像
面−０．３７で最大の約６７％であり、このピント像面
に対応する被写体距離が最もピントが合い易い状態にな
る。この図に示すように、図３４に示すリレーレンズは
負の球面収差が発生しておりかつＮＡの増加に伴いより
負の方向に大になる。したがってオートアイリス機能を
組込んだ場合、ＭＴＦからわかるようにピント像面は絞
り込むにつれて夫々−０．３７、−０．３２、−０．２
７のように移動する。FIG. 36 shows the spherical aberration and the MTF in the case where the number of image transmissions is 5 in the conventional relay lens described above.
In FIG. 36, (A) and (a) are aperture open,
(B) and (b) are brightness 1/2, (C) and (c) are brightness
The case of 1/4 is shown. Further, (A), (B) and (C) show spherical aberration curves, and (a), (b) and (c) show MTF. 36 (a), (b), and (c), the vertical axis represents the contrast (resolution) and the horizontal axis represents the focus image plane, showing the characteristics of any frequency on the image plane. FIG. 36 (a)
In contrast, the contrast at a frequency of 100 lines / mm is about 67%, which is the maximum at a focus image plane of -0.37, and the subject distance corresponding to this focus image plane is in the state of being most easily focused. As shown in this figure, in the relay lens shown in FIG. 34, negative spherical aberration occurs, and it becomes larger in the negative direction as the NA increases. Therefore, when the auto iris function is incorporated, as can be seen from the MTF, the focus image plane is reduced by -0.37, -0.32, -0.2, respectively, as it is narrowed down.
Move like 7.
【００１０】硬性鏡に装着されるテレビカメラにピント
調整機能が備えられていればもとのピント位置に調整で
きるが、硬性鏡の場合、被写体距離が頻繁に変わるため
オートアイリス機構も頻繁に作動し、いちいちピント調
整を行なうのは面倒である。そのため一般には、このピ
ント像面の移動に対してピント調整は行なわれず、被写
界深度が移動する。つまり、図３６のような球面収差を
有する光学系の場合、絞り込みによって、−０．３７か
ら−０．２７へ移動したピント像面は、像側のピント像
面を変えないとするとベスト位置から遠点に被写界深度
が移動する。そのため、オートアイリス機構によって絞
り込んでも近い被写体にピントが合いやすくなると言う
効果は得られず、近点のピントが不十分になる。かつ遠
点では被写界深度が十分であっても絞り込んでいるため
明るさは不充分になる。If the TV camera attached to the rigid endoscope has a focus adjustment function, the original focus position can be adjusted, but in the case of the rigid endoscope, the subject distance changes frequently, so the auto iris mechanism also operates frequently. It is troublesome to adjust the focus one by one. Therefore, in general, focus adjustment is not performed with respect to the movement of the focus image plane, and the depth of field moves. That is, in the case of the optical system having the spherical aberration as shown in FIG. 36, the focus image plane moved from −0.37 to −0.27 by the stop down is the best position unless the focus image plane on the image side is changed. The depth of field moves to the far point. Therefore, the effect of making it easier to focus on a close subject even if the aperture is narrowed down by the auto iris mechanism is not obtained, and the near point is insufficiently focused. At the far point, the brightness is insufficient because the aperture is narrowed down even if the depth of field is sufficient.
【００１１】他の従来例として図３７に示す特開昭６１
−２００１５号公報に記載されたものが知られている。
この従来例は、特開昭５１−６８２４２号公報とほぼ同
じ構成であるが第１の棒状レンズの射出側の面ｒ2 と第
２の棒状レンズｒ7 の入射側の面がいずれも凸面であ
る。したがってこれら二つの面の正の屈折力がリレーレ
ンズの機能の一部を分担しているので、リレーレンズに
かかる負担が小さくなる。このため特開昭５１−６８２
４２号公報の従来例よりも球面収差を良好に補正するこ
とが出来る。Another conventional example is shown in FIG.
The one described in Japanese Patent Publication No. 200015 is known.
This conventional example has almost the same structure as that of Japanese Patent Laid-Open No. 51-68242, but both the exit side surface r 2 of the first rod-shaped lens and the entrance side surface of the second rod-shaped lens r 7 are convex. is there. Therefore, since the positive refracting powers of these two surfaces share part of the function of the relay lens, the load on the relay lens is reduced. For this reason, JP-A-51-682
Spherical aberration can be corrected better than in the conventional example of Japanese Patent Laid-Open No.
【００１２】下記のデーターは、特開昭６１−２００１
５号に記載されたレンズデーターとこのレンズ系の球面
収差係数である。 ｆ＝31.50 ，Ｆナンバー＝5.30 ，像高＝1.0 ｒ1 ＝13.7150 ｄ1 ＝17.8700 ｎ1 ＝1.62004 ν1 ＝36.25 ｒ2 ＝-13.7150 ｄ2 ＝4.6400 ｒ3 ＝12.3380 ｄ3 ＝3.2000 ｎ2 ＝1.62004 ν2 ＝36.25 ｒ4 ＝-7.4710 ｄ4 ＝1.5000 ｎ3 ＝1.80518 ν3 ＝25.43 ｒ5 ＝7.4710 ｄ5 ＝3.2000 ｎ4 ＝1.62004 ν4 ＝36.25 ｒ6 ＝-12.3380 ｄ6 ＝4.6400 ｒ7 ＝13.7150 ｄ7 ＝17.8700 ｎ5 ＝1.62004 ν5 ＝36.25 ｒ8 ＝-13.7150 ３次の球面収差係数 ５次の球面収差係数 １ −０．０００１４ １ ０．０００００ ２ ０．０００００ ２ ０．０００００ ３ −０．００１１７ ３ −０．００００１ ４ ０．００１２９ ４ ０．００００３ ５ ０．００１２９ ５ ０．００００３ ６ −０．００１１７ ６ ０．００００１ ７ ０．０００００ ７ ０．０００００ ８ −０．０００１４ ８ ０．０００００ トータル −０．００００２ トータル ０．００００４ 上記のリレーレンズの３次および５次の球面収差係数の
和はほぼ０であり、これは棒状レンズの面ｒ2 ，ｒ7 が
屈折力を分担しかつ高次の球面収差の曲がりが生じない
領域で３次の球面収差の補正を可能にした。又棒状レン
ズの面ｒ2 ，ｒ7 自身も収差が発生しないようになって
おり、像伝達光学系全体での球面収差がほぼ０になるよ
うにしている。この従来例の球面収差は図３８に示す通
りである。The following data can be found in JP-A-61-2001.
The lens data described in No. 5 and the spherical aberration coefficient of this lens system. f = 31.50, F-number = 5.30, the image height = 1.0 r 1 = 13.7150 d 1 = 17.8700 n 1 = 1.62004 ν 1 = 36.25 r 2 = -13.7150 d 2 = 4.6400 r 3 = 12.3380 d 3 = 3.2000 n 2 = 1.62004 ν 2 = 36.25 r 4 = -7.4710 d 4 = 1.5000 n 3 = 1.80518 ν 3 = 25.43 r 5 = 7.4710 d 5 = 3.2000 n 4 = 1.62004 ν 4 = 36.25 r 6 = -12.3380 d 6 = 4.6400 r 7 = 13.7150 d 7 = 17.8700 n 5 = 1.62004 ν 5 = 36.25 r 8 = -13.7150 Third-order spherical aberration coefficient 5th-order spherical aberration coefficient 1 −0.00014 1 0.00000 2 0.00000 2 0.00000 3 −0. 001 17 3 -0.00001 4 0.00129 4 0.00003 5 0.00129 5 0.00003 6 -0.00117 6 0.00001 7 0.00000 7 0.00000 8 -0.000148 0.00000 Total- 0.00002 Total Sum of .00004 third and fifth order spherical aberration coefficient of the relay lens is almost 0, which is bent surface r 2, r 7 of the rod-shaped lens is spherical aberration to and higher share power It is possible to correct the third-order spherical aberration in a region where it does not occur. Also, the surfaces r 2 and r 7 of the rod-shaped lens do not generate aberrations themselves, so that the spherical aberration of the entire image transfer optical system is almost zero. The spherical aberration of this conventional example is as shown in FIG.
【００１３】しかし、この従来例は、非点収差、像面湾
曲、球面収差を良好に補正しているが、棒状両凸レンズ
は、次の理由から製作コストが高くつく。即ち、曲面を
有する棒状レンズは平面よりも加工の段取りに時間を要
し、曲面を持つ棒状レンズは平面よりも一度に多くの棒
状レンズを加工できない。又両凸棒状レンズの中心肉厚
が厚いため、光学軸が偏芯しやすく、高精度が要求され
る。つまり片方の面の傾きにより他の面では光学軸が大
きくずれるため傾きの精度が極めて高くなければならな
い。However, although this conventional example favorably corrects astigmatism, field curvature, and spherical aberration, the rod-shaped biconvex lens is expensive to manufacture for the following reasons. That is, a bar-shaped lens having a curved surface requires more time for processing than a flat surface, and a bar-shaped lens having a curved surface cannot process more bar-shaped lenses at a time than a flat surface. Further, since the central wall thickness of the biconvex rod lens is large, the optical axis is easily decentered, and high precision is required. In other words, the inclination of one surface causes the optical axis of the other surface to be greatly deviated, and therefore the inclination accuracy must be extremely high.
【００１４】図３９は、他の従来例を示すもので、上記
の欠点を除くため、図３９のように図３７に示す棒状レ
ンズを２分又は３分することが考えられるが、部品点数
が多くなり又接合が多くなり工程が増え製作コストが増
大し好ましくない。FIG. 39 shows another conventional example. In order to eliminate the above-mentioned drawbacks, it is conceivable to divide the rod-shaped lens shown in FIG. 37 into two or three minutes as in FIG. 39, but the number of parts is reduced. This is not preferable because the number of connections increases, the number of connections increases, the number of processes increases, and the manufacturing cost increases.
【００１５】以上述べたように、従来の像伝送光学系
は、ガラスブロックを用いることにより非点収差、像面
湾曲は良好に補正し得るが球面収差の補正が十分ではな
い。更に棒状両凸レンズの場合、球面収差も補正出来る
が製作コストが高くなる欠点がある。As described above, the conventional image transmission optical system can satisfactorily correct the astigmatism and the field curvature by using the glass block, but the spherical aberration is not sufficiently corrected. Further, in the case of a rod-shaped biconvex lens, spherical aberration can be corrected, but there is a drawback that the manufacturing cost becomes high.
【００１６】[0016]
【発明が解決しようとする課題】本発明は非点収差，像
面湾曲，球面収差を良好に補正すると共に製造コストの
安い像伝送光学系を提供するものである。SUMMARY OF THE INVENTION The present invention provides an image transmission optical system which is excellent in correction of astigmatism, field curvature and spherical aberration and which is inexpensive to manufacture.
【００１７】[0017]
【課題を解決するための手段】本発明の像伝送光学系
は、複数のレンズにて構成されていて、瞳近傍に球面収
差を補正する非球面を少なくとも一つ設けたことを特徴
としている。The image transmission optical system of the present invention is characterized by comprising a plurality of lenses and providing at least one aspherical surface for correcting spherical aberration in the vicinity of the pupil.
【００１８】更に球面収差を補正する非球面は次の条件
（１）を満足する位置に設けることが望ましい。Further, it is desirable that the aspherical surface for correcting spherical aberration is provided at a position satisfying the following condition (1).
【００１９】（１） ０．２＜Ｄ／Ｌ＜０．８ ただし、Ｌは１回伝送あたりの物体側の像から伝送像の
結像側の像までの距離、Ｄは前記物体側の像から前記非
球面までの距離である。(1) 0.2 <D / L <0.8 where L is the distance from the image on the object side per transmission to the image on the image forming side of the transmitted image, and D is the image on the object side. To the aspherical surface.
【００２０】条件（１）において、Ｄ／Ｌが０．２より
も小さくなるか、０．８よりも大きくなるとマージナル
光線高が低くなり非球面による球面収差の補正が出来な
くなり好ましくない。In the condition (1), if D / L is smaller than 0.2 or larger than 0.8, the height of the marginal ray is lowered and the spherical aberration cannot be corrected by the aspherical surface, which is not preferable.
【００２１】本発明の像伝送光学系は、例えば後に示す
第１の実施例である図１に示すような構成を基本構成と
するもので、物体側の像１から瞳位置Ｑを経て観察側の
像２へ向けて順に平凸レンズＬ1 と非球面レンズＬASP
と平凸レンズＬ2 とにて構成され、平凸レンズＬ1 と非
球面レンズＬASP とは接合されている。The image transmission optical system of the present invention has a basic configuration as shown in FIG. 1, which is a first embodiment to be described later, for example, and is from the image 1 on the object side through the pupil position Q to the observation side. Towards the image 2 of the plano-convex lens L 1 and aspherical lens L ASP
And a plano-convex lens L 2, and the plano-convex lens L 1 and the aspherical lens L ASP are cemented together.
【００２２】この図１に示す光学系の球面収差は図１４
に示す通りで、ＮＡの増加に伴いｄ線の球面収差は０に
保たれている。この光学系の３次の球面収差係数は、球
面で発生する球面収差の和−０．００２を非球面にて＋
０．００１９８の球面収差を発生させることにより、又
５次の球面収差係数は、球面で発生する球面収差の和
０．００１１８を非球面で発生する球面収差−０．００
１２７により補正している。The spherical aberration of the optical system shown in FIG. 1 is shown in FIG.
As shown in, the spherical aberration of the d-line is maintained at 0 as the NA increases. For the third-order spherical aberration coefficient of this optical system, the sum of the spherical aberrations generated on the spherical surface −0.002 is +
By generating a spherical aberration of 0.00198, the 5th-order spherical aberration coefficient has a sum 0.00118 of spherical aberrations generated on the spherical surface and a spherical aberration −0.00 on the aspherical surface.
It is corrected by 127.
【００２３】上記のように球面収差がＮＡによらずほぼ
一定であるため従来の像伝送光学系の欠点である、明る
さ絞りを絞り込んだ時に生ずるピント移動は起こらな
い。As described above, since the spherical aberration is almost constant regardless of NA, the focus movement that occurs when the aperture stop is stopped, which is a drawback of the conventional image transmission optical system, does not occur.
【００２４】また図１に示す光学系は、従来の像伝送光
学系のように棒状両凸レンズを用いていないため製作コ
ストが高くなることがない。又非球面レンズは、近年、
ガラスを過熱して融かした後に非球面の型に流し込み圧
力をかけて成形する方法が多く用いられており、短時間
に多量に精度よく製作する技術が確立されている。した
がって非球面レンズのコストは比較的安く、像伝送光学
系の他の研磨レンズのコストからみれば、非球面レンズ
によるコスト増加の比率は僅かであり、コスト高になる
ことはない。又非球面レンズは、ガラスに限ることなく
プラスチックでもよい。Further, the optical system shown in FIG. 1 does not use a rod-shaped biconvex lens unlike the conventional image transmission optical system, so that the manufacturing cost does not increase. In addition, aspherical lenses have been used in recent years.
A method in which glass is heated and melted and then poured into an aspherical mold to apply pressure to form the glass is often used, and a technique for producing a large amount of the glass in a short time with high accuracy has been established. Therefore, the cost of the aspherical lens is relatively low, and in view of the cost of the other polishing lenses of the image transmission optical system, the ratio of the cost increase by the aspherical lens is small and the cost does not increase. The aspherical lens is not limited to glass and may be plastic.
【００２５】本発明における球面収差を補正するための
非球面は、光が屈折率の高い媒質から屈折率の低い媒質
へ進む場合は、低次の非球面係数が負であり、高次の非
球面係数が正であることが望ましい。つまり下記の式に
て表わされる非球面において、Ｂ，Ｅ，Ｆ，Ｇ，・・・
である。 The aspherical surface for correcting spherical aberration in the present invention has a negative low-order aspherical coefficient when light travels from a medium having a high refractive index to a medium having a low refractive index, and a high-order non-spherical surface. It is desirable that the spherical coefficient is positive. That is, on the aspherical surface represented by the following formula, B, E, F, G, ...
Is.
【００２６】ここで、ｘ，ｙは光軸をｘ軸にとり、像の
方向を正の方向とし、非球面と光軸との交点を原点とし
てｘ軸に直交する方向をｙ軸とした時の座標値、Ｃは光
軸近傍で非球面と接する円の曲率半径Ｒの逆数、Ｐは非
球面の形状をあらわすパラメーター、Ｂ，Ｅ，Ｆ，Ｇ，
・・・は夫々２次，４次，６次，８次，・・・の非点収
差係数である。又次数が増えるにつれて低次から高次と
呼び、本発明における最低次は４次であって２次は含ま
ない。Here, x and y have the optical axis as the x-axis, the image direction is the positive direction, the intersection of the aspherical surface and the optical axis is the origin, and the direction orthogonal to the x-axis is the y-axis. Coordinates, C is the reciprocal of the radius of curvature R of the circle that is in contact with the aspheric surface near the optical axis, P is a parameter that represents the shape of the aspheric surface, and B, E, F, G,
... are second-order, fourth-order, sixth-order, eighth-order, ... Astigmatism coefficients, respectively. Further, as the order increases, the order is called low order to high order, and the lowest order in the present invention is the fourth order and does not include the second order.
【００２７】従来の非球面を用いない球面レンズのみの
光学系の場合、ＮＡが増加し瞳近傍のレンズの光線が通
る領域が大になるにしたがい負の球面収差が発生する。
これを補正するためには、瞳近傍に負のパワーをもたせ
て正の球面収差がＮＡの増加に伴い増加するようにしな
ければならない。In the case of a conventional optical system using only a spherical lens that does not use an aspherical surface, negative spherical aberration occurs as the NA increases and the area through which the ray of the lens passes near the pupil increases.
In order to correct this, it is necessary to give negative power to the vicinity of the pupil so that positive spherical aberration increases as NA increases.
【００２８】したがって、非球面の形状としては、光軸
から離れるにつれてつまり周辺に行くにつれて、屈折率
の低い媒質の方へ曲がる形状が好ましい。これを非球面
係数を表わす式にあてはめると、屈折率の高い媒質から
屈折率の低い媒質へ光が進む場合は、ｘ軸方向の座標は
ｙの値の増加に伴い正にならなければならず、低次の非
球面係数、例えば４次の非球面係数Ｅは正であることが
望ましい。一方この低次の非球面係数だけでは、正の球
面収差の値を負にもって行くことは出来るが球面収差の
正の方向の曲がりを補正することは出来ない。これを調
整するためには、高次の非球面係数例えば６次の非球面
係数Ｆ、８次の非球面係数Ｇが負であることが望まし
い。これによって曲がりのない０に近い球面収差を達成
することが出来る。Therefore, as the shape of the aspherical surface, a shape that bends toward the medium having a low refractive index as the distance from the optical axis, that is, toward the periphery is preferable. If this is applied to the equation expressing the aspherical coefficient, when light travels from a medium having a high refractive index to a medium having a low refractive index, the coordinate in the x-axis direction must become positive as the value of y increases. , The low-order aspherical coefficient, for example, the fourth-order aspherical coefficient E is preferably positive. On the other hand, with only this low-order aspherical coefficient, it is possible to bring the value of positive spherical aberration to a negative value, but it is not possible to correct the curvature of the spherical aberration in the positive direction. In order to adjust this, it is desirable that the high-order aspherical surface coefficient, for example, the 6th-order aspherical surface coefficient F and the 8th-order aspherical surface coefficient G are negative. As a result, it is possible to achieve spherical aberration close to 0 without any bending.
【００２９】逆に屈折率の低い媒質から屈折率の高い媒
質へ光が進む時には、ｘ軸方向の座標値はｙの値の増加
に伴い負にならなければならず、上記とは逆の理由によ
り低次の非球面係数は負、高次の非球面係数は正である
ことが望ましい。On the contrary, when light travels from a medium having a low refractive index to a medium having a high refractive index, the coordinate value in the x-axis direction must become negative as the value of y increases, which is the reason opposite to the above. Therefore, it is desirable that the low-order aspherical coefficient is negative and the high-order aspherical coefficient is positive.
【００３０】また、２次の非球面係数は、光軸近傍での
非球面と接する円の曲率半径Ｃと同じくｙ2 の係数であ
り、この円の曲率半径を変える役割しかもたず球面であ
るため非球面として球面収差の補正に関与しないので２
次の非球面係数Ｂは低次の表現のなかには含まない。The second-order aspherical surface coefficient is a coefficient of y 2 like the radius of curvature C of a circle in contact with the aspherical surface in the vicinity of the optical axis, and has a role of changing the radius of curvature of this circle and is a spherical surface. Therefore, it does not contribute to the correction of spherical aberration as an aspherical surface.
The following aspherical coefficient B is not included in the low-order expressions.
【００３１】以上のことから、本発明で用いる球面収差
を補正する作用をもつ非球面は、次の条件を満足するこ
とが望ましい。From the above, it is desirable that the aspherical surface having a function of correcting spherical aberration used in the present invention satisfies the following condition.
【００３２】（Ａ）屈折率の高い媒質から屈折率の低い
媒質へ光が進む場合 （２） Ｅ＞０ ， Ｆ＜０ ， Ｇ＜０ （Ｂ）屈折率の低い媒質から屈折率の高い媒質へ光が進
む場合 （３） Ｅ＜０ ， Ｆ＞０ ， Ｇ＜０ 本発明の光学系において、次の条件（４）を満足するこ
とが望ましい。(A) When light travels from a medium having a high refractive index to a medium having a low refractive index (2) E> 0, F <0, G <0 (B) A medium having a low refractive index to a medium having a high refractive index When light travels to (3) E <0, F> 0, G <0 In the optical system of the present invention, it is desirable to satisfy the following condition (4).
【００３３】 （４） ０．００００１≦｜（Ａ×ｎ）／（ＮＡ’×Ｎ）｜ ただし、Ａは非球面係数のうち最も数値の大きい係数、
ｎは非球面レンズの屈折率、ＮＡ’は像伝送光学系の射
出側の開口数、Ｎは伝送回数である。(4) 0.00001 ≦ | (A × n) / (NA ′ × N) | where A is the coefficient having the largest numerical value among the aspherical coefficients,
n is the refractive index of the aspherical lens, NA 'is the numerical aperture on the exit side of the image transmission optical system, and N is the number of transmissions.
【００３４】上記条件（４）はｎ，ＮＡ’，Ｎを加味し
て非球面係数Ａを規格化したものである。ここで屈折率
ｎは非球面係数Ａに反比例し、像伝送系の射出ＮＡ’
は、非球面係数Ａに比例する。又伝送回数Ｎは非球面係
数Ａに比例する。このことから｜（Ａ×ｎ）／（ＮＡ’
×Ｎ）｜と規格化すれば、この値は０．００００１以上
であることが望ましい。The above condition (4) is a condition in which the aspherical surface coefficient A is standardized in consideration of n, NA 'and N. Here, the refractive index n is inversely proportional to the aspherical coefficient A, and the exit NA ′ of the image transmission system is
Is proportional to the aspherical coefficient A. The number of transmissions N is proportional to the aspherical surface coefficient A. From this, | (A × n) / (NA '
XN) |, it is desirable that this value be 0.00001 or more.
【００３５】上記の｜（Ａ×ｎ）／（ＮＡ’×Ｎ）｜が
０．００００１よりも小さくなるとＡが小さすぎて球面
収差の補正が不足し、ＮＡ’が大きいにも拘らずＡが小
さく球面収差の補正が不足し、伝送回数Ｎが大きいにも
拘らずＡが小さいため球面収差補正が不足する。When the above | (A × n) / (NA ′ × N) | becomes smaller than 0.00001, A is too small to correct spherical aberration, and although NA ′ is large, A is large. The correction of spherical aberration is small and the correction of spherical aberration is insufficient because A is small despite the large number of transmissions N.
【００３６】又、本発明光学系のレンズタイプとして
は、図３４に示す従来例のように、外径の数倍の長さの
ロッド棒（ガララスブロック）を交互に配置し、その間
に凹レンズと凸レンズとを接合した正の接合レンズを配
置した構成とし、この接合レンズの近傍つまり瞳の近傍
に球面収差を補正する非球面を少なくとも一つ設けるこ
とが望ましい。この光学系のロッド棒は、視野レンズと
接合してもよく、その場合図１に示す構成になる。この
場合、瞳近傍の非球面レンズをロッド棒との接合レンズ
にすれば、ロッド棒が両凸レンズになり、従来例で述べ
たように製作上コスト高になり好ましくない。As the lens type of the optical system of the present invention, as in the conventional example shown in FIG. 34, rod rods (galaras blocks) having a length several times the outer diameter are alternately arranged, and a concave lens is provided therebetween. It is desirable that a positive cemented lens in which a convex lens and a convex lens are cemented is disposed, and at least one aspherical surface that corrects spherical aberration is provided near this cemented lens, that is, near the pupil. The rod rod of this optical system may be joined to the field lens, in which case the configuration shown in FIG. 1 is obtained. In this case, if the aspherical lens in the vicinity of the pupil is used as a cemented lens with the rod rod, the rod rod becomes a biconvex lens, which is not preferable because the manufacturing cost becomes high as described in the conventional example.
【００３７】本発明の像伝送光学系が複数回からなる像
伝送光学系の場合、最も像側のリレーレンズの瞳近傍に
球面収差を補正する非球面を少なくとも一つ設けること
が望ましい。本発明の像伝送光学系は、非球面レンズの
有無により球面収差の補正には影響があるが他の収差に
はほとんど影響がない。このことは、例えば後に示す第
１の実施例の収差カーブを見れば明らかである。つまり
図示する収差カーブのうち図１５の１３回リレーで非球
面のある場合と図１６の非球面のない場合とで、球面収
差以外はほとんど変りがない。そのため、従来の複数リ
レーを行なう像伝送光学系を有する硬性鏡において、少
なくとも一つ球面収差を補正する非球面を用いれば、各
リレーレンズで発生する球面収差の和を一つの非球面で
補正することが出来る。この場合非球面を設ける位置と
しては、像伝送光学系中の瞳近傍であればどこでもよい
が、最も像側のリレーレンズに非球面を用いれば、非球
面を含む部品の交換が容易であるため望ましい。In the case where the image transmission optical system of the present invention comprises a plurality of image transmission optical systems, it is desirable to provide at least one aspherical surface for correcting spherical aberration near the pupil of the relay lens closest to the image side. In the image transmission optical system of the present invention, the presence or absence of an aspherical lens affects the correction of spherical aberration, but has little effect on other aberrations. This is clear from, for example, the aberration curve of the first embodiment shown later. That is, among the illustrated aberration curves, there is almost no change other than spherical aberration between the case where the 13-time relay in FIG. 15 has an aspherical surface and the case where there is no aspherical surface in FIG. 16. Therefore, in a conventional rigid mirror having an image transmission optical system that performs multiple relays, if at least one aspherical surface that corrects spherical aberration is used, the sum of spherical aberrations that occur in each relay lens is corrected by one aspherical surface. You can In this case, the position where the aspherical surface is provided may be anywhere near the pupil in the image transmission optical system, but if an aspherical surface is used for the relay lens closest to the image side, the parts including the aspherical surface can be easily replaced. desirable.
【００３８】[0038]
【実施例】次に本発明の像伝送光学系の実施例について
述べる。EXAMPLES Next, examples of the image transmission optical system of the present invention will be described.
【００３９】本発明の第１の実施例は、図１に示す構成
で、物体側の像１から像側の像にむけて順に、平凸レン
ズＬ1 と非球面レンズＬASP と、接合レンズＬC と、平
凸レンズＬ2 とからなっている。The first embodiment of the present invention has the configuration shown in FIG. 1, and has a plano-convex lens L 1 , an aspherical lens L ASP, and a cemented lens L in order from the image 1 on the object side to the image on the image side. It is composed of C and a plano-convex lens L 2 .
【００４０】この第１の実施例のレンズデーターおよび
球面収差係数は下記の通りである。 ｆ＝1659.091 ，Ｆナンバー＝5.167 ，像高＝1.0000 倍率＝-0.9996 ，物体距離＝-1.8349 ｒ1 ＝8.6830 ｄ1 ＝18.0459 ｎ1 ＝1.62004 ν1 ＝36.25 ｒ2 ＝∞ ｄ2 ＝2.0000 ｎ2 ＝1.62004 ν2 ＝36.25 ｒ3 ＝1947.1576(非球面）ｄ3 ＝1.1835 ｒ4 ＝6.4803 ｄ4 ＝0.4587 ｎ3 ＝1.80610 ν3 ＝40.95 ｒ5 ＝2.9606 ｄ5 ＝1.3761 ｎ4 ＝1.65160 ν4 ＝58.52 ｒ6 ＝-11.5959 ｄ6 ＝0.8257 ｒ7 ＝∞ ｄ7 ＝20.0459 ｎ5 ＝1.62004 ν5 ＝36.25 ｒ8 ＝-8.6830 非球面係数 Ｒ＝1947.1576，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝0.18121 ×10-3 Ｆ＝-0.53495×10-4，Ｇ＝-0.92529×10-5 ３次の球面収差係数 ５次の球面収差係数 Ｋ （球面） （非球面） Ｋ （球面） （非球面） １ -0.00016 0.00000 １ 0.00000 0.00000 ２ 0.00000 0.00000 ２ 0.00000 0.00000 ３ 0.00046 0.00198 ３ 0.00000 -0.00127 ４ -0.01187 0.00000 ４ -0.00039 0.00000 ５ 0.01318 0.00000 ５ 0.00166 0.00000 ６ -0.00391 0.00000 ６ -0.00009 0.00000 ７ 0.00045 0.00000 ７ 0.00000 0.00000 ８ -0.00016 0.00000 ８ 0.00000 0.00000 トータル -0.00200 0.00198 トータル 0.00118 -0.00127 この第１の実施例においては、図１に示し又上記データ
ーを有する光学系は、Ｎ＝１の像伝送回数が１回の場合
であって、図１４に示すように球面収差が良好に補正さ
れている。この図１に示すレンズ系は、同じものを複数
用いて複数回リレーの光学系としてもよいが、非球面の
形状を最適化することにより、複数回リレーの光学系で
あるが非球面は一つのみで収差を良好に補正することが
出来る。The lens data and spherical aberration coefficient of the first embodiment are as follows. f = 1659.091, F-number = 5.167, image height = 1.0000 magnification = -0.9996, object distance = -1.8349 r 1 = 8.6830 d 1 = 18.0459 n 1 = 1.62004 ν 1 = 36.25 r 2 = ∞ d 2 = 2.0000 n 2 = 1.62004 ν 2 = 36.25 r 3 = 1947.1576 (aspherical surface) d 3 = 1.1835 r 4 = 6.4803 d 4 = 0.4587 n 3 = 1.80610 ν 3 = 40.95 r 5 = 2.9606 d 5 = 1.3761 n 4 = 1.65160 ν 4 = 58.52 r 6 = -11.5959 d 6 = 0.8257 r 7 = ∞ d 7 = 20.0459 n 5 = 1.62004 ν 5 = 36.25 r 8 = -8.6830 aspherical coefficient R = 1947.1576, P = 1.0000, B = 0, E = 0.18121 × 10 - 3 F = -0.53495 × 10 -4 , G = -0.92529 × 10 -5 3rd-order spherical aberration coefficient 5th-order spherical aberration coefficient K (spherical surface) (aspherical surface) K (spherical surface) (aspherical surface) 1 -0.00016 0.00000 1 0.00000 0.00000 2 0.00000 0.00000 2 0.00000 0.00000 3 0.00046 0.00198 3 0.00000 -0.00127 4 -0.01187 0.00000 4 -0.00039 0.00000 5 0.01318 0.00000 5 0.00166 0.00000 6 -0.00391 0.00000 6 -0.0000 9 0.00000 7 0.00045 0.00000 7 0.00000 0.00000 8 -0.00016 0.00000 8 0.00000 0.00000 Total -0.00200 0.00198 Total 0.00118 -0.00127 In this first embodiment, the optical system shown in FIG. 1 and having the above data has an image of N = 1. In the case where the number of transmissions is one, the spherical aberration is well corrected as shown in FIG. The lens system shown in FIG. 1 may be an optical system for multiple relays by using the same lens, but by optimizing the shape of the aspherical surface, the optical system is a multiple relay optical system, but the aspherical surface is Aberration can be corrected well with only one.
【００４１】図２は上記第１の実施例でＮ＝２の場合
で、後ろ側のリレーレンズにのみ非球面（面ｒ10が非球
面）を設け、この非球面を下記データーのように最適化
することにより、全体の球面収差を良好に補正すること
が出来る。 ｆ＝-829.106 ，Ｆナンバー＝-5.167 ，像高＝1.0000 倍率＝0.9991 ，物体距離＝-1.8349 ｒ1 ＝8.6830 ｄ1 ＝20.0459 ｎ1 ＝1.62004 ν1 ＝36.25 ｒ2 ＝∞ ｄ2 ＝1.1835 ｒ3 ＝6.4803 ｄ3 ＝0.4587 ｎ2 ＝1.80610 ν2 ＝40.95 ｒ4 ＝2.9606 ｄ4 ＝1.3761 ｎ3 ＝1.65160 ν3 ＝58.52 ｒ5 ＝-11.5959 ｄ5 ＝0.8257 ｒ6 ＝∞ ｄ6 ＝20.0459 ｎ4 ＝1.62004 ν4 ＝36.25 ｒ7 ＝-8.6830 ｄ7 ＝3.6700 ｒ8 ＝8.6830 ｄ8 ＝18.0459 ｎ5 ＝1.62004 ν5 ＝36.25 ｒ9 ＝∞ ｄ9 ＝2.0000 ｎ6 ＝1.62004 ν6 ＝36.25 ｒ10＝972.8287（非球面）ｄ10＝1.1835 ｒ11＝6.4803 ｄ11＝0.4587 ｎ7 ＝1.80610 ν7 ＝40.95 ｒ12＝2.9606 ｄ12＝1.3761 ｎ8 ＝1.65160 ν8 ＝58.52 ｒ13＝-11.5959 ｄ13＝0.8257 ｒ14＝∞ ｄ14＝20.0459 ｎ9 ＝1.62004 ν9 ＝36.25 ｒ15＝-8.6830 非球面係数 Ｒ＝972.8287，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝0.36021 ×10-3 Ｆ＝-0.10514×10-3，Ｇ＝-0.18814×10-4 第１の実施例において、リレー回数つまり１回のリレー
のリレーレンズの数を増やす場合の例として、夫々Ｎ＝
３〜７および１３の場合、図２に示すＮ＝２の例におけ
る像側のリレーレンズ（非球面を有するリレーレンズ）
を最も像側に配置してその前に図２に示すＮ＝２の例に
おける物体側のリレーレンズ（図１に示すリレーレン
ズ）を、Ｎ＝３の場合二つ、Ｎ＝４の場合は三つのよう
に配置した合計三つ、四つのリレーレンズにて構成する
場合、非球面を上記のデーターのような形状にすればよ
い。このようにしてＮ＝１３とした場合の光学系の収差
状況は、図１５に示す通りである。又比較のため１３回
リレーの光学系で非球面を用いない同じ構成の光学系の
場合の収差状況は図１６に示す通りで、本発明の光学系
は球面収差が極めて良好に補正されていることがわか
る。尚他の収差は図１５と図１６とでほとんど変化がな
いこともわかる。FIG. 2 shows the case of N = 2 in the first embodiment, in which only the rear relay lens is provided with an aspherical surface (surface r 10 is an aspherical surface), and this aspherical surface is optimized as shown in the following data. By making the difference, it is possible to satisfactorily correct the entire spherical aberration. f = -829.106, F number = -5.167, image height = 1.0000 magnification = 0.9991, object distance = -1.8349 r 1 = 8.6830 d 1 = 20.0459 n 1 = 1.62004 ν 1 = 36.25 r 2 = ∞ d 2 = 1.1835 r 3 = 6.4803 d 3 = 0.4587 n 2 = 1.80610 ν 2 = 40.95 r 4 = 2.9606 d 4 = 1.3761 n 3 = 1.65160 ν 3 = 58.52 r 5 = -11.5959 d 5 = 0.8257 r 6 = ∞ d 6 = 20.0459 n 4 = 1.62004 ν 4 = 36.25 r 7 = -8.6830 d 7 = 3.6700 r 8 = 8.6830 d 8 = 18.0459 n 5 = 1.62004 ν 5 = 36.25 r 9 = ∞ d 9 = 2.0000 n 6 = 1.62004 ν 6 = 36.25 r 10 = 972.8287 (aspherical) d 10 = 1.1835 r 11 = 6.4803 d 11 = 0.4587 n 7 = 1.80610 ν 7 = 40.95 r 12 = 2.9606 d 12 = 1.3761 n 8 = 1.65160 ν 8 = 58.52 r 13 = -11.5959 d 13 = 0.8257 r 14 = ∞ d 14 = 20.0459 n 9 = 1.62004 ν 9 = 36.25 r 15 = -8.6830 Aspheric coefficient R = 972.8287, P = 1.0000, B = 0, E = 0.36021 × 10 -3 F = -0.10514 × 10 -3 , G = -0.18814 × 10 -4 In one embodiment, as an example of a case of increasing the number of relay times, that one relay of the relay lens, respectively N =
In the case of 3 to 7 and 13, the image side relay lens (relay lens having an aspherical surface) in the example of N = 2 shown in FIG.
Is arranged closest to the image side, and two object-side relay lenses (relay lenses shown in FIG. 1) in the example of N = 2 shown in FIG. When the relay lens is composed of three and four relay lenses arranged in three, the aspherical surface may be shaped like the above data. The aberration situation of the optical system when N = 13 in this way is as shown in FIG. Further, for comparison, the aberration situation in the case of an optical system of the same configuration which does not use an aspherical surface in the optical system of the 13-time relay is as shown in FIG. 16, and the optical system of the present invention has extremely well corrected spherical aberration. I understand. It can also be seen that the other aberrations hardly change between FIGS.
【００４２】この第１の実施例は、球面収差が良好に補
正されており、図１７（Ａ），（Ｂ），（Ｃ）に示すよ
うにＮＡの変化による球面収差の変化はほとんどなく、
又（ａ），（ｂ），（ｃ）のようにピント像面の移動が
ほとんどない。In the first embodiment, the spherical aberration is satisfactorily corrected, and as shown in FIGS. 17 (A), (B) and (C), there is almost no change in the spherical aberration due to the change in NA,
Further, unlike (a), (b), and (c), there is almost no movement of the focus image plane.
【００４３】又、リレー回数が３以上の場合も、例えば
リレー回数３の時は、図１に示す１回リレーのリレーレ
ンズを三つ並べることにより像伝送光学系を構成するこ
とが出来る。その場合も最適な面形状の一つの非球面に
より光学系全体の球面収差を良好に補正出来る。この非
球面の形状は、Ｎの値により、下記のデーター（基準球
面の曲率半径Ｒ，非球面係数等）にて表わされるものが
最適である。 Ｎ＝３ Ｒ＝573.0870，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝0.53657 ×10-3 Ｆ＝-0.15460×10-3，Ｇ＝-0.28727×10-4 Ｎ＝４ Ｒ＝442.8588，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝0.71100 ×10-3 Ｆ＝-0.20206×10-3，Ｇ＝-0.39109×10-4 Ｎ＝５ Ｒ＝360.9311，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝0.88320 ×10-3 Ｆ＝-0.24725×10-3，Ｇ＝-0.50004×10-4 Ｎ＝６ Ｒ＝304.6391，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝0.10531 ×10-2 Ｆ＝-0.29002×10-3，Ｇ＝-0.61492×10-4 Ｎ＝７ Ｒ＝263.5803，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝0.12204 ×10-2 Ｆ＝-0.32982×10-3，Ｇ＝-0.73773×10-4 Ｎ＝１３ Ｒ＝146.0485，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝0.21749 ×10-2 Ｆ＝-0.50640×10-3，Ｇ＝-0.16524×10-3 この第１の実施例のＤ／Ｌおよび｜（Ａ×ｎ）／（Ｎ
Ａ’×Ｎ）｜の値は下記の通りである。 Ｄ／Ｌ＝０．４６ ｜（Ａ×ｎ）／（ＮＡ’×Ｎ）｜＝｜（Ｅ×ｎ）／（ＮＡ’×Ｎ）｜ ＝０．０００３０４（Ｎ＝１） ＝０．０００２８０（Ｎ＝１３） 第２の実施例は、図３に示す構成で、非球面レンズＬ
APS が平凸レンズＬ2に接合されている点において第１
の実施例と異なっている。この第２の実施例のデーター
は下記の通りである。 ｆ＝1670.276 ，Ｆナンバー＝5.167 ，像高＝1.0000 倍率＝1.0000 ，物体距離＝-1.8349 ｒ1 ＝8.6830 ｄ1 ＝20.0459 ｎ1 ＝1.62004 ν1 ＝36.25 ｒ2 ＝∞ ｄ2 ＝1.1835 ｒ3 ＝6.4803 ｄ3 ＝0.4587 ｎ2 ＝1.80610 ν2 ＝40.95 ｒ4 ＝2.9606 ｄ4 ＝1.3761 ｎ3 ＝1.65160 ν3 ＝58.52 ｒ5 ＝-11.5959 ｄ5 ＝0.8257 ｒ6 ＝∞（非球面） ｄ6 ＝2.0000 ｎ4 ＝1.62004 ν4 ＝36.25 ｒ7 ＝∞ ｄ7 ＝18.0459 ｎ5 ＝1.62004 ν5 ＝36.25 ｒ8 ＝-8.6830 非球面係数 Ｒ＝∞，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝-0.18055×10-3，Ｆ＝0.52624 ×10-4 Ｇ＝0.94550 ×10-5 ３次の球面収差係数 ５次の球面収差係数 Ｋ （球面） （非球面） Ｋ （球面） （非球面） １ -0.00016 0.00000 １ 0.00000 0.00000 ２ 0.00045 0.00000 ２ 0.00000 0.00000 ３ -0.01182 0.00000 ３ -0.00039 0.00000 ４ 0.01316 0.00000 ４ 0.00165 0.00000 ５ -0.00393 0.00000 ５ -0.00009 0.00000 ６ 0.00045 0.00197 ６ 0.00000 -0.00126 ７ 0.00000 0.00000 ７ 0.00000 0.00000 ８ -0.00015 0.00000 ８ 0.00000 0.00000 トータル -0.00200 0.00197 トータル 0.00117 -0.00126 又Ｎ＝２の２回リレーレンズで、非球面を一つのみ用い
た実施例を図４に示す。この図４に示す実施例のデータ
ーは下記の通りで非球面は、面ｒ13に設けられその形状
は、データー中に示す通りである。 ｆ＝-835.063 ，Ｆナンバー＝-5.167 ，像高＝1.0000 倍率＝1.0000 ，物体距離＝-1.8349 ｒ1 ＝8.6830 ｄ1 ＝20.0459 ｎ1 ＝1.62004 ν1 ＝36.25 ｒ2 ＝∞ ｄ2 ＝1.1835 ｒ3 ＝6.4803 ｄ3 ＝0.4587 ｎ2 ＝1.80610 ν2 ＝40.95 ｒ4 ＝2.9606 ｄ4 ＝1.3761 ｎ3 ＝1.65160 ν3 ＝58.52 ｒ5 ＝-11.5959 ｄ5 ＝0.8257 ｒ6 ＝∞ ｄ6 ＝20.0459 ｎ4 ＝1.62004 ν4 ＝36.25 ｒ7 ＝-8.6830 ｄ7 ＝3.6700 ｒ8 ＝8.6830 ｄ8 ＝20.0459 ｎ5 ＝1.62004 ν5 ＝36.25 ｒ9 ＝∞ ｄ9 ＝1.1835 ｒ10＝6.4803 ｄ10＝0.4587 ｎ6 ＝1.80610 ν6 ＝40.95 ｒ11＝2.9606 ｄ11＝1.3761 ｎ7 ＝1.65160 ν7 ＝58.52 ｒ12＝-11.5959 ｄ12＝0.8257 ｒ13＝∞（非球面） ｄ13＝2.0000 ｎ8 ＝1.62004 ν8 ＝36.25 ｒ14＝∞ ｄ14＝18.0459 ｎ9 ＝1.62004 ν9 ＝36.25 ｒ15＝-8.6830 非球面係数 Ｒ＝∞，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝-0.36161×10-3，Ｆ＝0.10537 ×10-3 Ｇ＝0.18999 ×10-4 又この第２の実施例も図３のリレーレンズを用いＮ＝３
〜７および１３の像伝送光学系を構成する場合、一つの
非球面により球面収差を良好に補正するためには、夫々
下記のデーターの通りの非球面形状とすればよい。 Ｎ＝３ Ｒ＝∞，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝-0.54339×10-3，Ｆ＝0.15807 ×10-3 Ｇ＝0.28767 ×10-4 Ｎ＝４ Ｒ＝∞，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝-0.72554×10-3，Ｆ＝0.21056 ×10-3 Ｇ＝0.38775 ×10-4 Ｎ＝５ Ｒ＝∞，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝-0.90812×10-3，Ｆ＝0.26266 ×10-3 Ｇ＝0.49124 ×10-4 Ｎ＝６ Ｒ＝∞，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝-0.10911×10-2，Ｆ＝0.31417 ×10-3 Ｇ＝0.59907 ×10-4 Ｎ＝７ Ｒ＝∞，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝-0.12744×10-2，Ｆ＝0.36489 ×10-3 Ｇ＝0.71217 ×10-4 Ｎ＝１３ Ｒ＝∞，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝-0.23789×10-2，Ｆ＝0.64017 ×10-3 Ｇ＝0.15624 ×10-3 この第２の実施例のＤ／Ｌおよび｜（Ａ×ｎ）／（Ｎ
Ａ’×Ｎ）｜の値は下記の通りである。 Ｄ／Ｌ＝０．５４ ｜（Ａ×ｎ）／（ＮＡ’×Ｎ）｜＝｜（Ｅ×ｎ）／（ＮＡ’×Ｎ）｜ ＝０．０００３０２（Ｎ＝１） ＝０．０００３０６（Ｎ＝１３） この第２の実施例の図３に示す光学系の収差状況は図１
８に示す通りであり、又Ｎ＝１３の光学系の収差状況は
図１９の通りである。又Ｎ＝１３の光学系で非球面を用
いない光学系の収差状況は図２０の通りである。Also, when the number of relays is three or more, for example, when the number of relays is three, the image transmission optical system can be constructed by arranging three relay lenses of the one-time relay shown in FIG. Also in this case, the spherical aberration of the entire optical system can be satisfactorily corrected by one aspherical surface having the optimum surface shape. The shape of this aspherical surface is optimally represented by the following data (radius of curvature R of the reference spherical surface, aspherical surface coefficient, etc.) depending on the value of N. N = 3 R = 573.0870, P = 1.0000, B = 0, E = 0.53657 × 10 −3 F = −0.15460 × 10 −3 , G = −0.28727 × 10 −4 N = 4 R = 442.8588, P = 1.0000, B = 0, E = 0.71100 × 10 -3 F = -0.20206 × 10 -3 , G = -0.39109 × 10 -4 N = 5 R = 360.9311, P = 1.0000, B = 0, E = 0.88320 × 10 -3 F = -0.24725 × 10 -3 , G = -0.50004 × 10 -4 N = 6 R = 304.6391, P = 1.0000, B = 0, E = 0.10531 × 10 -2 F = -0.29002 × 10 -3 , G = -0.61492 × 10 -4 N = 7 R = 263.5803, P = 1.0000, B = 0, E = 0.12204 × 10 -2 F = -0.32982 × 10 -3 , G = -0.73773 × 10 -4 N = 13 R = 146.0485, P = 1.0000, B = 0, E = 0.21749 × 10 −2 F = −0.50640 × 10 −3 , G = −0.16524 × 10 −3 D / L of this first embodiment and | (A × n ) / (N
The value of A ′ × N) | is as follows. D / L = 0.46 | (A × n) / (NA ′ × N) | = | (E × n) / (NA ′ × N) | = 0.000304 (N = 1) = 0.000280 ( N = 13) The second example has the configuration shown in FIG.
First in that the APS is cemented to the plano-convex lens L 2 .
Is different from the embodiment described above. The data for this second example are as follows. f = 1670.276, F-number = 5.167, image height = 1.0000 magnification = 1.0000, object distance = -1.8349 r 1 = 8.6830 d 1 = 20.0459 n 1 = 1.62004 ν 1 = 36.25 r 2 = ∞ d 2 = 1.1835 r 3 = 6.4803 d 3 = 0.4587 n 2 = 1.80610 ν 2 = 40.95 r 4 = 2.9606 d 4 = 1.3761 n 3 = 1.65160 ν 3 = 58.52 r 5 = -11.5959 d 5 = 0.8257 r 6 = ∞ ( aspherical) d 6 = 2.0000 n 4 = 1.62004 ν 4 = 36.25 r 7 = ∞ d 7 = 18.0459 n 5 = 1.62004 ν 5 = 36.25 r 8 = -8.6830 aspherical coefficient R = ∞, P = 1.0000, B = 0, E = -0.18055 × 10 - 3 , F = 0.52624 × 10 -4 G = 0.94550 × 10 -5 3rd-order spherical aberration coefficient 5th-order spherical aberration coefficient K (spherical surface) (aspherical surface) K (spherical surface) (aspherical surface) 1 -0.00016 0.00000 1 0.00000 0.00000 2 0.00045 0.00000 2 0.00000 0.00000 3 -0.01182 0.00000 3 -0.00039 0.00000 4 0.01316 0.00000 4 0.00165 0.00000 5 -0.00393 0.00000 5 -0.00009 0.00000 6 0.00045 0.00197 6 0.00000 -0.00126 7 0.00000 0.00000 7 0.00000 0.00000 8 -0.00015 0.00000 8 0.00000 0.00000 Total -0.00200 0.00197 Total 0.00117 -0.00126 Also, FIG. 4 shows an example in which a double relay lens with N = 2 and only one aspherical surface is used. The data of the embodiment shown in FIG. 4 are as follows, and the aspherical surface is provided on the surface r 13 and the shape thereof is as shown in the data. f = -835.063, F-number = -5.167, image height = 1.0000 magnification = 1.0000, object distance = -1.8349 r 1 = 8.6830 d 1 = 20.0459 n 1 = 1.62004 ν 1 = 36.25 r 2 = ∞ d 2 = 1.1835 r 3 = 6.4803 d 3 = 0.4587 n 2 = 1.80610 ν 2 = 40.95 r 4 = 2.9606 d 4 = 1.3761 n 3 = 1.65160 ν 3 = 58.52 r 5 = -11.5959 d 5 = 0.8257 r 6 = ∞ d 6 = 20.0459 n 4 = 1.62004 v 4 = 36.25 r 7 = -8.6830 d 7 = 3.6700 r 8 = 8.6830 d 8 = 20.0459 n 5 = 1.62004 v 5 = 36.25 r 9 = ∞ d 9 = 1.1835 r 10 = 6.4803 d 10 = 0.4587 n 6 = 1.80610 ν 6 = 40.95 r 11 = 2.9606 d 11 = 1.3761 n 7 = 1.65160 ν 7 = 58.52 r 12 = -11.5959 d 12 = 0.8257 r 13 = ∞ (aspherical surface) d 13 = 2.0000 n 8 = 1.62004 ν 8 = 36.25 r 14 = ∞ d 14 = 18.0459 n 9 = 1.62004 ν 9 = 36.25 r 15 = -8.6830 Aspherical surface coefficient R = ∞, P = 1.0000, B = 0, E = -0.36161 × 10 -3 , F = 0.10537 × 10 − 3 G = 0.18999 × 10 -4 also this 2 embodiment also using a relay lens of FIG. 3 N = 3
In the case where the image transmission optical systems of 7 to 13 are constructed, in order to satisfactorily correct the spherical aberration by one aspherical surface, the aspherical shape as shown in the following data may be adopted. N = 3 R = ∞, P = 1.0000, B = 0, E = −0.54339 × 10 −3 , F = 0.158807 × 10 −3 G = 0.28767 × 10 −4 N = 4 R = ∞, P = 1.0000, B = 0, E = -0.72554 x 10 -3 , F = 0.21056 x 10 -3 G = 0.38775 x 10 -4 N = 5 R = ∞, P = 1.0000, B = 0, E = -0.908 812 x 10 -3 , F = 0.26266 × 10 -3 G = 0.49124 × 10 -4 N = 6 R = ∞, P = 1.0000, B = 0, E = -0.10911 × 10 -2 , F = 0.31417 × 10 -3 G = 0.59907 × 10 -4 N = 7 R = ∞, P = 1.0000, B = 0, E = -0.12744 × 10 -2 , F = 0.36489 × 10 -3 G = 0.71217 × 10 -4 N = 13 R = ∞, P = 1.0000 , B = 0, E = -0.23789 × 10 -2 , F = 0.64017 × 10 -3 G = 0.15624 × 10 -3 D / L and | (A × n) / (N of this second embodiment
The value of A ′ × N) | is as follows. D / L = 0.54 | (A × n) / (NA ′ × N) | = | (E × n) / (NA ′ × N) | = 0.000302 (N = 1) = 0.000306 ( N = 13) The aberration situation of the optical system shown in FIG. 3 of the second embodiment is shown in FIG.
As shown in FIG. 8, the aberration status of the optical system with N = 13 is as shown in FIG. FIG. 20 shows the aberration situation of the optical system with N = 13 and no aspherical surface.
【００４４】第３の実施例は、図５に示す通りで、接合
レンズのうちの凹レンズを非球面にした点で第１，第２
の実施例と相違する。このように接合レンズの凹レンズ
を非球面レンズにしたのでこの非球面レンズをプラスチ
ックやガラスを光熱高圧にて成形する場合、種々の硝材
の中から選択して成形出来るので好ましい。この第３の
実施例（図５）のデーターは下記の通りである。 ｆ＝1670.276 ，Ｆナンバー＝5.167 ，像高＝1.0000 倍率＝-1.0000 ，物体距離＝-1.8349 ｒ1 ＝8.6830 ｄ1 ＝20.0459 ｎ1 ＝1.62004 ν1 ＝36.25 ｒ2 ＝∞ ｄ2 ＝1.1835 ｒ3 ＝6.4803（非球面） ｄ3 ＝0.4587 ｎ2 ＝1.80610 ν2 ＝40.95 ｒ4 ＝2.9606 ｄ4 ＝1.3761 ｎ3 ＝1.65160 ν3 ＝58.52 ｒ5 ＝-11.5959 ｄ5 ＝0.8257 ｒ6 ＝∞ ｄ6 ＝20.0459 ｎ4 ＝1.62004 ν4 ＝36.25 ｒ7 ＝-8.6830 非球面係数 Ｒ＝6.4803，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝-0.10287×10-3 Ｆ＝0.29749 ×10-4，Ｇ＝0.16726 ×10-5 Ｈ＝0.13465 ×10-6 ３次の球面収差係数 ５次の球面収差係数 Ｋ （球面） （非球面） Ｋ （球面） （非球面） １ -0.00016 0.00000 １ 0.00000 0.00000 ２ 0.00045 0.00000 ２ 0.00000 0.00000 ３ -0.01182 0.00200 ３ -0.00039 -0.00147 ４ 0.01316 0.00000 ４ 0.00165 0.00000 ５ -0.00393 0.00000 ５ -0.00009 0.00000 ６ 0.00045 0.00000 ６ 0.00000 0.00000 ７ -0.00015 0.00000 ７ 0.00000 0.00000 トータル -0.00200 0.00200 トータル 0.00117 -0.00147 又第３の実施例Ｎ＝２つまり二つのリレーレンズよりな
る像伝送光学系の構成は、図６に示す通りで、レンズデ
ーターは下記の通りである。 ｆ＝-835.063 ，Ｆナンバー＝-5.167 ，像高＝1.0000 倍率＝1.0000 ，物体距離＝-1.8349 ｒ1 ＝8.6830 ｄ1 ＝20.0459 ｎ1 ＝1.62004 ν1 ＝36.25 ｒ2 ＝∞ ｄ2 ＝1.1835 ｒ3 ＝6.4803 ｄ3 ＝0.4587 ｎ2 ＝1.80610 ν2 ＝40.95 ｒ4 ＝2.9606 ｄ4 ＝1.3761 ｎ3 ＝1.65160 ν3 ＝58.52 ｒ5 ＝-11.5959 ｄ5 ＝0.8257 ｒ6 ＝∞ ｄ6 ＝20.0459 ｎ4 ＝1.62004 ν4 ＝36.25 ｒ7 ＝-8.6830 ｄ7 ＝3.6700 ｒ8 ＝8.6830 ｄ8 ＝20.0459 ｎ5 ＝1.62004 ν5 ＝36.25 ｒ9 ＝∞ ｄ9 ＝1.1835 ｒ10＝6.4803（非球面） ｄ10＝0.4587 ｎ6 ＝1.80610 ν6 ＝40.95 ｒ11＝2.9606 ｄ11＝1.3761 ｎ7 ＝1.65160 ν7 ＝58.52 ｒ12＝-11.5959 ｄ12＝0.8257 ｒ13＝∞ ｄ13＝20.0459 ｎ8 ＝1.62004 ν8 ＝36.25 ｒ14＝-8.6830 非球面係数 Ｒ＝6.4803，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝-0.20554×10-3 Ｆ＝0.59636 ×10-4，Ｇ＝0.30581 ×10-5 Ｈ＝0.34841 ×10-6 更に第３の実施例でＮ＝３，４，５，６，７および１３
の各像伝送光学系で用いる非球面の形状は次の通りであ
る。 Ｎ＝３ Ｒ＝6.4803，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝-0.30785×10-3 Ｆ＝0.89450 ×10-4，Ｇ＝0.42075 ×10-5 Ｈ＝0.63869 ×10-6 Ｎ＝４ Ｒ＝6.4803，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝-0.41004×10-3 Ｆ＝0.11929 ×10-3，Ｇ＝0.51582 ×10-5 Ｈ＝0.10017 ×10-5 Ｎ＝５ Ｒ＝6.4803，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝-0.51196×10-3 Ｆ＝0.14899 ×10-3，Ｇ＝0.59512 ×10-5 Ｈ＝0.14352 ×10-5 Ｎ＝６ Ｒ＝6.4803，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝-0.61358×10-3 Ｆ＝0.17844 ×10-3，Ｇ＝0.66246 ×10-5 Ｈ＝0.19378 ×10-5 Ｎ＝７ Ｒ＝6.4803，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝-0.71488×10-3 Ｆ＝0.20757 ×10-3，Ｇ＝0.72136 ×10-5 Ｈ＝0.25089 ×10-5 Ｎ＝１３ Ｒ＝6.4803，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝-0.13147×10-2 Ｆ＝0.37103 ×10-3，Ｇ＝0.10549 ×10-4 Ｈ＝0.74590 ×10-5 この第３の実施例のＤ／Ｌおよび｜（Ａ×ｎ）／（Ｎ
Ａ’×Ｎ）｜の値は下記の通りである。 Ｄ／Ｌ＝０．４９ ｜（Ａ×ｎ）／（ＮＡ’×Ｎ）｜＝｜（Ｅ×ｎ）／（ＮＡ’×Ｎ）｜ ＝０．０００１９２（Ｎ＝１） ＝０．０００１８９（Ｎ＝１３） 又図５に示す像伝送光学系の収差状況は図２１に示す通
りであり、又第３の実施例においてＮ＝１３の像伝送光
学系の収差状況は図２２、このＮ＝１３の像伝送光学系
と同じ構成で非球面を用いない像伝送光学系の収差状況
は図２３に示す通りである。The third embodiment is as shown in FIG. 5, in that the concave lens of the cemented lenses is an aspherical surface.
Is different from the embodiment of FIG. Since the concave lens of the cemented lens is an aspherical lens in this manner, when molding this aspherical lens with photothermal high pressure, it is preferable because it can be selected from various glass materials. The data for this third example (FIG. 5) are as follows. f = 1670.276, F-number = 5.167, image height = 1.0000 magnification = -1.0000, object distance = -1.8349 r 1 = 8.6830 d 1 = 20.0459 n 1 = 1.62004 ν 1 = 36.25 r 2 = ∞ d 2 = 1.1835 r 3 = 6.4803 (aspherical) d 3 = 0.4587 n 2 = 1.80610 ν 2 = 40.95 r 4 = 2.9606 d 4 = 1.3761 n 3 = 1.65160 ν 3 = 58.52 r 5 = -11.5959 d 5 = 0.8257 r 6 = ∞ d 6 = 20.0459 n 4 = 1.62004 ν 4 = 36.25 r 7 = -8.6830 Aspherical surface coefficient R = 6.4803, P = 1.0000, B = 0, E = -0.10287 × 10 −3 F = 0.29749 × 10 −4 , G = 0.16726 × 10 − 5 H = 0.13465 × 10 -6 3rd-order spherical aberration coefficient 5th-order spherical aberration coefficient K (spherical surface) (aspherical surface) K (spherical surface) (aspherical surface) 1 -0.00016 0.00000 1 0.00000 0.00000 2 0.00045 0.00000 2 0.00000 0.00000 3 -0.01182 0.00200 3 -0.00039 -0.00147 4 0.01316 0.00000 4 0.00165 0.00000 5 -0.00393 0.00000 5 -0.00009 0.00000 6 0.00045 0.00000 6 0.00000 0.00000 7 -0.00015 0.00000 7 0.00000 0 .00000 total -0.00200 0.00200 total 0.00117 -0.00147 The third embodiment N = 2, that is, the configuration of the image transmission optical system including two relay lenses is as shown in FIG. 6, and the lens data is as follows. f = -835.063, F-number = -5.167, image height = 1.0000 magnification = 1.0000, object distance = -1.8349 r 1 = 8.6830 d 1 = 20.0459 n 1 = 1.62004 ν 1 = 36.25 r 2 = ∞ d 2 = 1.1835 r 3 = 6.4803 d 3 = 0.4587 n 2 = 1.80610 ν 2 = 40.95 r 4 = 2.9606 d 4 = 1.3761 n 3 = 1.65160 ν 3 = 58.52 r 5 = -11.5959 d 5 = 0.8257 r 6 = ∞ d 6 = 20.0459 n 4 = 1.62004 ν 4 = 36.25 r 7 = -8.6830 d 7 = 3.6700 r 8 = 8.6830 d 8 = 20.0459 n 5 = 1.62004 ν 5 = 36.25 r 9 = ∞ d 9 = 1.1835 r 10 = 6.4803 (aspherical surface) d 10 = 0.4587 n 6 = 1.80610 ν 6 = 40.95 r 11 = 2.9606 d 11 = 1.3761 n 7 = 1.65160 ν 7 = 58.52 r 12 = -11.5959 d 12 = 0.8257 r 13 = ∞ d 13 = 20.0459 n 8 = 1.62004 ν 8 = 36.25 r 14 = -8.6830 Aspherical surface coefficient R = 6.4803, P = 1.0000, B = 0, E = -0.20554 × 10 -3 F = 0.59636 × 10 -4 , G = 0.30581 × 10 -5 H = 0.34841 × 10 -6 In the third embodiment, N = 3, 4, , 6, 7 and 13
The shape of the aspherical surface used in each image transmission optical system is as follows. N = 3 R = 6.4803, P = 1.0000, B = 0, E = -0.30785 × 10 -3 F = 0.89450 × 10 -4 , G = 0.42075 × 10 -5 H = 0.63869 × 10 -6 N = 4 R = 6.4803, P = 1.0000, B = 0, E = -0.41004 × 10 -3 F = 0.11929 × 10 -3 , G = 0.51582 × 10 -5 H = 0.10017 × 10 -5 N = 5 R = 6.4803, P = 1.0000 , B = 0, E = -0.51196 × 10 -3 F = 0.14899 × 10 -3 , G = 0.59512 × 10 -5 H = 0.14352 × 10 -5 N = 6 R = 6.4803, P = 1.0000, B = 0, E = -0.61358 x 10 -3 F = 0.17844 x 10 -3 , G = 0.66246 x 10 -5 H = 0.19378 x 10 -5 N = 7 R = 6.4803, P = 1.0000, B = 0, E = -0.71488 x 10 -3 F = 0.20757 × 10 -3 , G = 0.72136 × 10 -5 H = 0.25089 × 10 -5 N = 13 R = 6.4803, P = 1.0000, B = 0, E = -0.13147 × 10 -2 F = 0.37103 × 10 −3 , G = 0.10549 × 10 −4 H = 0.74590 × 10 −5 D / L and | (A × n) / (N of this third embodiment
The value of A ′ × N) | is as follows. D / L = 0.49 | (A × n) / (NA ′ × N) | = | (E × n) / (NA ′ × N) | = 0.000192 (N = 1) = 0.000189 ( N = 13) The aberration situation of the image transmission optical system shown in FIG. 5 is as shown in FIG. 21, and the aberration situation of the image transmission optical system of N = 13 in the third embodiment is shown in FIG. The aberration situation of the image transmission optical system having the same structure as the image transmission optical system of No. 13 but not using an aspherical surface is as shown in FIG.
【００４５】第４の実施例は図７に示す構成で非球面が
接合レンズの接合面である点で第１〜第３の実施例と相
違する。非球面を接合レンズの接合面に設ければ、外観
上は非球面を用いない接合レンズと同じになり、間隔環
を非球面を用いない接合レンズと共通化出来るため好ま
しい。The fourth embodiment differs from the first to third embodiments in that the aspherical surface is the cemented surface of the cemented lens in the configuration shown in FIG. If an aspherical surface is provided on the cemented surface of the cemented lens, the appearance is the same as that of the cemented lens that does not use the aspherical surface, and the spacing ring can be shared with the cemented lens that does not use the aspherical surface, which is preferable.
【００４６】この実施例のデーターは下記の通りであ
る。 ｆ＝1670.276 ，Ｆナンバー＝5.167 ，像高＝1.0000 倍率＝-1.0000 ，物体距離＝-1.8349 ｒ1 ＝8.6830 ｄ1 ＝20.0459 ｎ1 ＝1.62004 ν1 ＝36.25 ｒ2 ＝∞ ｄ2 ＝1.1835 ｒ3 ＝6.4803 ｄ3 ＝0.4587 ｎ2 ＝1.80610 ν2 ＝40.95 ｒ4 ＝2.9606（非球面） ｄ4 ＝1.3761 ｎ3 ＝1.65160 ν3 ＝58.52 ｒ5 ＝-11.5959 ｄ5 ＝0.8257 ｒ6 ＝∞ ｄ6 ＝20.0459 ｎ4 ＝1.62004 ν4 ＝36.25 ｒ7 ＝-8.6830 非球面係数 Ｒ＝2.9606，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝0.57141 ×10-3 Ｆ＝-0.15892×10-3，Ｇ＝-0.12437×10-4 Ｈ＝-0.22055×10-5 ３次の球面収差係数 ５次の球面収差係数 Ｋ （球面） （非球面） Ｋ （球面） （非球面） １ -0.00016 0.00000 １ 0.00000 0.00000 ２ 0.00045 0.00000 ２ 0.00000 0.00000 ３ -0.01182 0.00000 ３ -0.00039 0.00000 ４ 0.01316 0.00200 ４ 0.00165 -0.00151 ５ -0.00393 0.00000 ５ -0.00009 0.00000 ６ 0.00045 0.00000 ６ 0.00000 0.00000 ７ -0.00015 0.00000 ７ 0.00000 0.00000 トータル -0.00200 0.00200 トータル 0.00117 -0.00151 この第４の実施例のＤ／Ｌおよび｜（Ａ×ｎ）／（Ｎ
Ａ’×Ｎ）｜の値は下記の通りである。 Ｄ／Ｌ＝０．５０ ｜（Ａ×ｎ）／（ＮＡ’×Ｎ）｜＝｜（Ｅ×ｎ）／（ＮＡ’×Ｎ）｜ ＝０．０００９７５ 又、この第４の実施例の収差状況は図２４に示す通りで
ある。The data for this example are as follows: f = 1670.276, F-number = 5.167, image height = 1.0000 magnification = -1.0000, object distance = -1.8349 r 1 = 8.6830 d 1 = 20.0459 n 1 = 1.62004 ν 1 = 36.25 r 2 = ∞ d 2 = 1.1835 r 3 = 6.4803 d 3 = 0.4587 n 2 = 1.80610 ν 2 = 40.95 r 4 = 2.9606 ( aspheric surface) d 4 = 1.3761 n 3 = 1.65160 ν 3 = 58.52 r 5 = -11.5959 d 5 = 0.8257 r 6 = ∞ d 6 = 20.0459 n 4 = 1.62004 ν 4 = 36.25 r 7 = -8.6830 Aspheric coefficient R = 2.9606, P = 1.0000, B = 0, E = 0.57141 × 10 -3 F = -0.15892 × 10 -3 , G = -0.12437 × 10 -4 H = -0.22055 × 10 -5 3rd-order spherical aberration coefficient 5th-order spherical aberration coefficient K (spherical surface) (aspherical surface) K (spherical surface) (aspherical surface) 1 -0.00016 0.00000 1 0.00000 0.00000 2 0.00045 0.00000 2 0.00000 0.00000 3 -0.01182 0.00000 3 -0.00039 0.00000 4 0.01316 0.00200 4 0.00165 -0.00151 5 -0.00393 0.00000 5 -0.00009 0.00000 6 0.00045 0.00000 6 0.00000 0.00000 7 -0.00015 0.00000 7 0.00000 0 .00000 total -0.00200 0.00200 total 0.00117 -0.00151 D / L and | (A × n) / (N of the fourth embodiment
The value of A ′ × N) | is as follows. D / L = 0.50 | (A × n) / (NA ′ × N) | = | (E × n) / (NA ′ × N) | = 0.000975 Further, the aberration of the fourth embodiment The situation is as shown in FIG.
【００４７】第５の実施例は、図８に示す構成で、非球
面レンズが接合レンズの凸レンズである点で第１〜第４
の実施例と相違する。この実施例も第３の実施例と同様
に非球面レンズをプレスにて成形出来、硝材の選択が容
易である。 ｆ＝1670.276 ，Ｆナンバー＝5.167 ，像高＝1.0000 倍率＝-1.0000 ，物体距離＝-1.8349 ｒ1 ＝8.6830 ｄ1 ＝20.0459 ｎ1 ＝1.62004 ν1 ＝36.25 ｒ2 ＝∞ ｄ2 ＝1.1835 ｒ3 ＝6.4803 ｄ3 ＝0.4587 ｎ2 ＝1.80610 ν2 ＝40.95 ｒ4 ＝2.9606 ｄ4 ＝1.3761 ｎ3 ＝1.65160 ν3 ＝58.52 ｒ5 ＝-11.5959（非球面）ｄ5 ＝0.8257 ｒ6 ＝∞ ｄ6 ＝20.0459 ｎ4 ＝1.62004 ν4 ＝36.25 ｒ7 ＝-8.6830 非球面係数 Ｒ＝-11.5959，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝0.13975 ×10-3 Ｆ＝-0.41661×10-4，Ｇ＝-0.25904×10-5 Ｈ＝-0.38976×10-6 ３次の球面収差係数 ５次の球面収差係数 Ｋ （球面） （非球面） Ｋ （球面） （非球面） １ -0.00016 0.00000 １ 0.00000 0.00000 ２ 0.00045 0.00000 ２ 0.00000 0.00000 ３ -0.01182 0.00000 ３ -0.00039 0.00000 ４ 0.01316 0.00000 ４ 0.00165 0.00000 ５ -0.00393 0.00200 ５ -0.00009 -0.00141 ６ 0.00045 0.00000 ６ 0.00000 0.00000 ７ -0.00015 0.00000 ７ 0.00000 0.00000 トータル -0.00200 0.00200 トータル 0.00117 -0.00141 この第５の実施例のＤ／Ｌおよび｜（Ａ×ｎ）／（Ｎ
Ａ’×Ｎ）｜の値は下記の通りである。 Ｄ／Ｌ＝０．５２ ｜（Ａ×ｎ）／（ＮＡ’×Ｎ）｜＝｜（Ｅ×ｎ）／（ＮＡ’×Ｎ）｜ ＝０．０００２３８（Ｎ＝１） 又、この第５の実施例の収差状況は図２５に示す通りで
ある。The fifth embodiment has the structure shown in FIG. 8, and the aspherical lens is a convex lens of a cemented lens.
Is different from the embodiment of FIG. In this embodiment, like the third embodiment, the aspherical lens can be molded by pressing, and the glass material can be easily selected. f = 1670.276, F-number = 5.167, image height = 1.0000 magnification = -1.0000, object distance = -1.8349 r 1 = 8.6830 d 1 = 20.0459 n 1 = 1.62004 ν 1 = 36.25 r 2 = ∞ d 2 = 1.1835 r 3 = 6.4803 d 3 = 0.4587 n 2 = 1.80610 ν 2 = 40.95 r 4 = 2.9606 d 4 = 1.3761 n 3 = 1.65160 ν 3 = 58.52 r 5 = -11.5959 ( aspherical) d 5 = 0.8257 r 6 = ∞ d 6 = 20.0459 n 4 = 1.62004 ν 4 = 36.25 r 7 = -8.6830 Aspheric surface coefficient R = -11.5959, P = 1.0000, B = 0, E = 0.13975 × 10 -3 F = -0.41661 × 10 -4 , G = -0.25904 × 10 −5 H = −0.38976 × 10 −6 3rd-order spherical aberration coefficient 5th-order spherical aberration coefficient K (spherical surface) (aspherical surface) K (spherical surface) (aspherical surface) 1 -0.00016 0.00000 1 0.00000 0.00000 2 0.00045 0.00000 2 0.00000 0.00000 3 -0.01182 0.00000 3 -0.00039 0.00000 4 0.01316 0.00000 4 0.00165 0.00000 5 -0.00393 0.00200 5 -0.00009 -0.00141 6 0.00045 0.00000 6 0.00000 0.00000 7 -0.00015 0.00000 7 0.00000 0.00000 Total -0.00200 0.00200 Total 0.00117 -0.00141 D / L and | (A × n) / (N of this fifth embodiment
The value of A ′ × N) | is as follows. D / L = 0.52 | (A × n) / (NA ′ × N) | = | (E × n) / (NA ′ × N) | = 0.000238 (N = 1) The aberration situation of the example is as shown in FIG.
【００４８】第６の実施例は、図９に示す構成で下記デ
ーターのように非球面レンズの硝材の屈折率がｎd ＝
１．８８３であって高い屈折率である。例えば第１の実
施例の非球面レンズの屈折率はｎd ＝１．６２００４で
ある。このように非球面レンズの屈折率を高くしたこと
によって、球面収差を補正するための非球面の球面（基
準球面）からのずれ量が小さくても十分な補正作用が得
られる。このようにずれ量が小であれば、前記のように
成形により非球面を製作する場合、製作が容易になる。 ｆ＝673.796 ，Ｆナンバー＝5.167 ，像高＝1.0000 倍率＝-1.0109 ，物体距離＝-1.8349 ｒ1 ＝8.6830 ｄ1 ＝18.0459 ｎ1 ＝1.62004 ν1 ＝36.25 ｒ2 ＝∞ ｄ2 ＝2.0000 ｎ2 ＝1.88300 ν2 ＝40.78 ｒ3 ＝∞（非球面） ｄ3 ＝1.1835 ｒ4 ＝6.4803 ｄ4 ＝0.4587 ｎ3 ＝1.80610 ν3 ＝40.95 ｒ5 ＝2.9606 ｄ5 ＝1.3761 ｎ4 ＝1.65160 ν4 ＝58.52 ｒ6 ＝-11.5959 ｄ6 ＝0.8257 ｒ7 ＝∞ ｄ7 ＝20.0459 ｎ5 ＝1.62004 ν5 ＝36.25 ｒ8 ＝-8.6830 非球面係数 Ｒ＝∞，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝0.13078 ×10-3，Ｆ＝-0.40897×10-4 Ｇ＝-0.44690×10-5，Ｈ＝-0.50061×10-6 ３次の球面収差係数 ５次の球面収差係数 Ｋ （球面） （非球面） Ｋ （球面） （非球面） １ -0.00016 0.00000 １ 0.00000 0.00000 ２ -0.00007 0.00000 ２ 0.00000 0.00000 ３ 0.00054 0.00202 ３ 0.00000 -0.00138 ４ -0.01196 0.00000 ４ -0.00040 0.00000 ５ 0.01323 0.00000 ５ 0.00167 0.00000 ６ -0.00388 0.00000 ６ -0.00009 0.00000 ７ 0.00044 0.00000 ７ 0.00000 0.00000 ８ -0.00017 0.00000 ８ 0.00000 0.00000 トータル -0.00202 0.00202 トータル 0.00118 -0.00138 この第６の実施例のＤ／Ｌおよび｜（Ａ×ｎ）／（Ｎ
Ａ’×Ｎ）｜の値は下記の通りである。 Ｄ／Ｌ＝０．４６ ｜（Ａ×ｎ）／（ＮＡ’×Ｎ）｜＝｜（Ｅ×ｎ）／（ＮＡ’×Ｎ）｜ ＝０．０００２５２（Ｎ＝１） 又、この第６の実施例の収差状況は、図２６に示す通り
である。The sixth embodiment has the structure shown in FIG. 9 and the refractive index of the glass material of the aspherical lens is n d =
It has a high refractive index of 1.883. For example, the refractive index of the aspherical lens of the first example is n d = 1.62004. By thus increasing the refractive index of the aspherical lens, a sufficient correction action can be obtained even if the amount of deviation of the aspherical surface for correcting spherical aberration from the spherical surface (reference spherical surface) is small. If the amount of deviation is small as described above, the production becomes easy when the aspherical surface is produced by molding as described above. f = 673.796, F-number = 5.167, image height = 1.0000 magnification = -1.0109, object distance = -1.8349 r 1 = 8.6830 d 1 = 18.0459 n 1 = 1.62004 ν 1 = 36.25 r 2 = ∞ d 2 = 2.0000 n 2 = 1.88300 ν 2 ＝ 40.78 r 3 ＝ ∞ (aspherical surface) d 3 ＝ 1.1835 r 4 ＝ 6.4803 d 4 ＝ 0.4587 n 3 ＝ 1.80610 ν 3 ＝ 40.95 r 5 ＝ 2.9606 d 5 ＝ 1.3761 n 4 ＝ 1.65160 ν 4 ＝ 58.52 r 6 = -11.5959 d 6 = 0.8257 r 7 = ∞ d 7 = 20.0459 n 5 = 1.62004 ν 5 = 36.25 r 8 = -8.6830 aspherical coefficient R = ∞, P = 1.0000, B = 0, E = 0.13078 × 10 - 3 , F = -0.40897 × 10 -4 G = -0.44690 × 10 -5 , H = -0.50061 × 10 -6 3rd-order spherical aberration coefficient 5th-order spherical aberration coefficient K (spherical surface) (aspherical surface) K (spherical surface) ) (Aspherical surface) 1 -0.00016 0.00000 1 0.00000 0.00000 2 -0.00007 0.00000 2 0.00000 0.00000 3 0.00054 0.00202 3 0.00000 -0.00138 4 -0.01196 0.00000 4 -0.00040 0.00000 5 0.01323 0.00000 5 0.00167 0.00000 6 -0.00388 0.0 0000 6 -0.00009 0.00000 7 0.00044 0.00000 7 0.00000 0.00000 8 -0.00017 0.00000 8 0.00000 0.00000 Total -0.00202 0.00202 Total 0.00118 -0.00138 D / L and | (A × n) / (N of the sixth embodiment
The value of A ′ × N) | is as follows. D / L = 0.46 | (A × n) / (NA ′ × N) | = | (E × n) / (NA ′ × N) | = 0.000252 (N = 1) The aberration situation of the example is as shown in FIG.
【００４９】第７の実施例は、図１０に示す構成であっ
て、下記データーのように非球面レンズの硝材の屈折率
がｎd ＝１．５１６３３であって低い屈折率である点で
第１〜第６の実施例と相違する。一般に屈折率が低い硝
材は、熱による転移点が低いため、成形の際に光熱にし
なくともよいため、成形が容易である。 ｆ＝6063.590 ，Ｆナンバー＝5.168 ，像高＝1.0000 倍率＝-0.9947 ，物体距離＝-1.8349 ｒ1 ＝8.6830 ｄ1 ＝18.0459 ｎ1 ＝1.62004 ν1 ＝36.25 ｒ2 ＝∞ ｄ2 ＝2.0000 ｎ2 ＝1.51633 ν2 ＝64.15 ｒ3 ＝∞（非球面） ｄ3 ＝1.1835 ｒ4 ＝6.4803 ｄ4 ＝0.4587 ｎ3 ＝1.80610 ν3 ＝40.95 ｒ5 ＝2.9606 ｄ5 ＝1.3761 ｎ4 ＝1.65160 ν4 ＝58.52 ｒ6 ＝-11.5959 ｄ6 ＝0.8257 ｒ7 ＝∞ ｄ7 ＝20.0459 ｎ5 ＝1.62004 ν5 ＝36.25 ｒ8 ＝-8.6830 非球面係数 Ｒ＝∞，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝0.21824 ×10-3，Ｆ＝-0.68736×10-4 Ｇ＝-0.73845×10-5，Ｈ＝-0.83078×10-6 ３次の球面収差係数 ５次の球面収差係数 Ｋ （球面） （非球面） Ｋ （球面） （非球面） １ -0.00015 0.00000 １ 0.00000 0.00000 ２ 0.00003 0.00000 ２ 0.00000 0.00000 ３ 0.00040 0.00199 ３ 0.00000 -0.00137 ４ -0.01174 0.00000 ４ -0.00039 0.00000 ５ 0.01312 0.00000 ５ 0.00165 0.00000 ６ -0.00396 0.00000 ６ -0.00009 0.00000 ７ 0.00046 0.00000 ７ 0.00000 0.00000 ８ -0.00014 0.00000 ８ 0.00000 0.00000 トータル -0.00199 0.00199 トータル 0.00117 -0.00137 この第７の実施例のＤ／Ｌおよび｜（Ａ×ｎ）／（Ｎ
Ａ’×Ｎ）｜の値は下記の通りである。 Ｄ／Ｌ＝０．４６ ｜（Ａ×ｎ）／（ＮＡ’×Ｎ）｜＝｜（Ｅ×ｎ）／（ＮＡ’×Ｎ）｜ ＝０．０００３４４ この第７の実施例の収差状況は図２７に示す通りであ
る。The seventh embodiment has the structure shown in FIG. 10, and is characterized in that the glass material of the aspherical lens has a low refractive index of n d = 1.51633 as shown in the following data. Different from the first to sixth embodiments. In general, a glass material having a low refractive index has a low transition point due to heat, and therefore it is not necessary to use light heat for molding, and therefore molding is easy. f = 6063.590, F-number = 5.168, image height = 1.0000 magnification = -0.9947, object distance = -1.8349 r 1 = 8.6830 d 1 = 18.0459 n 1 = 1.62004 ν 1 = 36.25 r 2 = ∞ d 2 = 2.0000 n 2 = 1.51633 ν 2 = 64.15 r 3 = ∞ (aspherical surface) d 3 = 1.1835 r 4 = 6.4803 d 4 = 0.4587 n 3 = 1.80610 ν 3 = 40.95 r 5 = 2.9606 d 5 = 1.3761 n 4 = 1.65160 ν 4 = 58.52 r 6 = -11.5959 d 6 = 0.8257 r 7 = ∞ d 7 = 20.0459 n 5 = 1.62004 ν 5 = 36.25 r 8 = -8.6830 aspherical coefficient R = ∞, P = 1.0000, B = 0, E = 0.21824 × 10 - 3 , F = -0.68736 × 10 -4 G = -0.73845 × 10 -5 , H = -0.83078 × 10 -6 3rd-order spherical aberration coefficient 5th-order spherical aberration coefficient K (spherical surface) (aspherical surface) K (spherical surface) ) (Aspherical surface) 1 -0.00015 0.00000 1 0.00000 0.00000 2 0.00003 0.00000 2 0.00000 0.00000 3 0.00040 0.00199 3 0.00000 -0.00137 4 -0.01174 0.00000 4 -0.00039 0.00000 5 0.01312 0.00000 5 0.00165 0.00000 6 -0.00396 0.0 0000 6 -0.00009 0.00000 7 0.00046 0.00000 7 0.00000 0.00000 8 -0.00014 0.00000 8 0.00000 0.00000 Total -0.00199 0.00199 Total 0.00117 -0.00137 D / L and | (A × n) / (N of this seventh embodiment
The value of A ′ × N) | is as follows. D / L = 0.46 | (A × n) / (NA ′ × N) | = | (E × n) / (NA ′ × N) | = 0.000344 The aberration situation of the seventh embodiment is This is as shown in FIG.
【００５０】第８の実施例は、図１１に示す構成で瞳近
傍の接合レンズが凸レンズと凹レンズと凸レンズの３枚
接合レンズである点で第１，６，７実施例と相違する。
この実施例は、下記の通りのデーターでその収差状況は
図２８に示す通りで、この図からわかるように像面湾曲
が他の実施例よりもよく補正されている。 ｆ＝5147.091 ，Ｆナンバー＝6.486 ，像高＝1.0000 倍率＝-1.0000 ，物体距離＝-2.0000 ｒ1 ＝9.6010 ｄ1 ＝20.0000 ｎ1 ＝1.51633 ν1 ＝64.15 ｒ2 ＝∞ ｄ2 ＝2.2100 ｎ2 ＝1.51633 ν2 ＝64.15 ｒ3 ＝∞（非球面） ｄ3 ＝1.8900 ｒ4 ＝8.2580 ｄ4 ＝1.1900 ｎ3 ＝1.65160 ν3 ＝58.52 ｒ5 ＝-4.0320 ｄ5 ＝3.7000 ｎ4 ＝1.75700 ν4 ＝47.82 ｒ6 ＝4.0320 ｄ6 ＝1.1900 ｎ5 ＝1.65160 ν5 ＝58.52 ｒ7 ＝-8.2580 ｄ7 ＝1.8900 ｒ8 ＝∞ ｄ8 ＝22.2100 ｎ6 ＝1.51633 ν6 ＝64.15 ｒ9 ＝-9.6010 非球面係数 Ｒ＝∞，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝0.11897 ×10-3，Ｆ＝-0.48026×10-4 Ｇ＝-0.58047×10-5，Ｈ＝-0.18985×10-10 ３次の球面収差係数 ５次の球面収差係数 Ｋ （球面） （非球面） Ｋ （球面） （非球面） １ -0.00006 0.00000 １ 0.00000 0.00000 ２ 0.00000 0.00000 ２ 0.00000 0.00000 ３ 0.00021 0.00090 ３ 0.00000 -0.00072 ４ -0.00530 0.00000 ４ -0.00011 0.00000 ５ 0.00470 0.00000 ５ 0.00037 0.00000 ６ 0.00470 0.00000 ６ 0.00037 0.00000 ７ -0.00530 0.00000 ７ -0.00014 0.00000 ８ 0.00021 0.00000 ８ 0.00000 0.00000 ９ -0.00006 0.00000 ９ 0.00000 0.00000 トータル -0.00090 0.00090 トータル 0.00049 -0.00072 この第８の実施例のＮ＝２の時の像伝送光学系を図１２
に示す。又この光学系のレンズデーターは下記の通りで
ある。 ｆ＝-2573.546 ，Ｆナンバー＝-6.486 ，像高＝1.0000 倍率＝1.0000 ，物体距離＝-2.0000 ｒ1 ＝9.6010 ｄ1 ＝22.2100 ｎ1 ＝1.51633 ν1 ＝64.15 ｒ2 ＝∞ ｄ2 ＝1.8900 ｒ3 ＝8.2580 ｄ3 ＝1.1900 ｎ2 ＝1.65160 ν2 ＝58.52 ｒ4 ＝-4.0320 ｄ4 ＝3.7000 ｎ3 ＝1.75700 ν3 ＝47.82 ｒ5 ＝4.0320 ｄ5 ＝1.1900 ｎ4 ＝1.65160 ν4 ＝58.52 ｒ6 ＝-8.2580 ｄ6 ＝1.8900 ｒ7 ＝∞ ｄ7 ＝22.2100 ｎ5 ＝1.51633 ν5 ＝64.15 ｒ8 ＝-9.6010 ｄ8 ＝4.0000 ｒ9 ＝9.6010 ｄ9 ＝20.0000 ｎ6 ＝1.51633 ν6 ＝64.15 ｒ10＝∞ ｄ10＝2.2100 ｎ7 ＝1.51633 ν7 ＝64.15 ｒ11＝∞（非球面） ｄ11＝1.8900 ｒ12＝8.2580 ｄ12＝1.1900 ｎ8 ＝1.65160 ν8 ＝58.52 ｒ13＝-4.0320 ｄ13＝3.7000 ｎ9 ＝1.75700 ν9 ＝47.82 ｒ14＝4.0320 ｄ14＝1.1900 ｎ10＝1.65160 ν10＝58.52 ｒ15＝-8.2580 ｄ15＝1.8900 ｒ16＝∞ ｄ16＝22.210 ｎ11＝1.51633 ν11＝64.15 ｒ17＝-9.6010 非球面係数 Ｒ＝∞，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝0.23765 ×10-3，Ｆ＝-0.95652×10-4 Ｇ＝-0.11759×10-4，Ｈ＝-0.39212×10-10 更に、第８の実施例のＮ＝３，４，５，６，７および１
２の時の像伝送光学系で用いる非球面は、下記の通りの
形状が望ましい。 Ｎ＝３ Ｒ＝∞，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝0.35604 ×10-3，Ｆ＝-0.14288×10-3 Ｇ＝-0.17862×10-4，Ｈ＝-0.60130×10-10 Ｎ＝４ Ｒ＝∞，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝0.47415 ×10-3，Ｆ＝-0.18970×10-3 Ｇ＝-0.24116×10-4，Ｈ＝-0.80905×10-10 Ｎ＝５ Ｒ＝∞，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝0.59197 ×10-3，Ｆ＝-0.23612×10-3 Ｇ＝-0.30521×10-4，Ｈ＝-0.10275×10-9 Ｎ＝６ Ｒ＝∞，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝0.70950 ×10-3，Ｆ＝-0.28213×10-3 Ｇ＝-0.37076×10-4，Ｈ＝-0.12578×10-9 Ｎ＝７ Ｒ＝∞，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝0.82675 ×10-3，Ｆ＝-0.32774×10-3 Ｇ＝-0.43782×10-4，Ｈ＝-0.14856×10-9 Ｎ＝１２ Ｒ＝∞，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝0.14086 ×10-2，Ｆ＝-0.54966×10-3 Ｇ＝-0.79591×10-4，Ｈ＝-0.26743×10-9 この第８の実施例のＤ／Ｌおよび｜（Ａ×ｎ）／（Ｎ
Ａ’×Ｎ）｜の値は下記の通りである。 Ｄ／Ｌ＝０．４２ ｜（Ａ×ｎ）／（ＮＡ’×Ｎ）｜＝｜（Ｅ×ｎ）／（ＮＡ’×Ｎ）｜ ＝０．０００２３４ この実施例のＮ＝１２の像伝送光学系の収差状況は、図
２９に示す通りであり、又このＮ＝１２の像伝送光学系
で非球面を用いない場合の収差状況は、図３０に示す通
りである。The eighth embodiment differs from the first, sixth and seventh embodiments in that the cemented lens near the pupil in the configuration shown in FIG. 11 is a three-lens cemented lens consisting of a convex lens, a concave lens and a convex lens.
In this embodiment, the aberration data is as shown in FIG. 28 with the following data, and as can be seen from this figure, the field curvature is corrected better than the other embodiments. f = 5147.091, F-number = 6.486, image height = 1.0000 magnification = -1.0000, object distance = -2.0000 r 1 = 9.6010 d 1 = 20.0000 n 1 = 1.51633 ν 1 = 64.15 r 2 = ∞ d 2 = 2.2100 n 2 = 1.51633 ν 2 = 64.15 r 3 = ∞ (aspherical surface) d 3 = 1.8900 r 4 = 8.2580 d 4 = 1.1900 n 3 = 1.65160 ν 3 = 58.52 r 5 = -4.0320 d 5 = 3.7000 n 4 = 1.75700 ν 4 = 47.82 r 6 = 4.0320 d 6 = 1.1900 n 5 = 1.65160 ν 5 = 58.52 r 7 = -8.2580 d 7 = 1.8900 r 8 = ∞ d 8 = 22.2100 n 6 = 1.51633 ν 6 = 64.15 r 9 = -9.6010 aspherical coefficients R = ∞, P = 1.0000, B = 0, E = 0.11897 × 10 -3 , F = -0.48026 × 10 -4 G = -0.58047 × 10 -5 , H = -0.18985 × 10 -10 Third-order spherical aberration coefficient 5th-order spherical aberration coefficient K (spherical surface) (aspherical surface) K (spherical surface) (aspherical surface) 1 -0.00006 0.00000 1 0.00000 0.00000 2 0.00000 0.00000 2 0.00000 0.00000 3 0.00021 0.00090 3 0.00000 -0.00072 4 -0.00530 0.00000 4 -0.00011 0.00000 5 0.00470 0.00000 5 0.00037 0.00000 6 0.00470 0.00000 6 0.00037 0.00000 7 -0.00530 0.00000 7 -0.00014 0.00000 8 0.00021 0.00000 8 0.00000 0.00000 9 -0.00006 0.00000 9 0.00000 0.00000 Total -0.00090 0.00090 Total 0.00049 -0.00072 N of this eighth embodiment 12 shows the image transmission optical system when = 2.
Shown in. The lens data of this optical system are as follows. f = -2573.546, F-number = -6.486, image height = 1.0000 magnification = 1.0000, object distance = -2.0000 r 1 = 9.6010 d 1 = 22.2100 n 1 = 1.51633 ν 1 = 64.15 r 2 = ∞ d 2 = 1.8900 r 3 = 8.2580 d 3 = 1.1900 n 2 = 1.65160 ν 2 = 58.52 r 4 = -4.0320 d 4 = 3.7000 n 3 = 1.75700 ν 3 = 47.82 r 5 = 4.0320 d 5 = 1.1900 n 4 = 1.65160 ν 4 = 58.52 r 6 = -8.2580 d 6 = 1.8900 r 7 = ∞ d 7 = 22.2100 n 5 = 1.51633 ν 5 = 64.15 r 8 = -9.6010 d 8 = 4.0000 r 9 = 9.6010 d 9 = 20.0000 n 6 = 1.51633 ν 6 = 64.15 r 10 = ∞ d 10 = 2.2100 n 7 = 1.51633 ν 7 = 64.15 r 11 = ∞ ( aspherical) d 11 = 1.8900 r 12 = 8.2580 d 12 = 1.1900 n 8 = 1.65160 ν 8 = 58.52 r 13 = -4.0320 d 13 = 3.7000 n 9 = 1.75700 ν 9 = 47.82 r 14 = 4.0320 d 14 = 1.1900 n 10 = 1.65160 ν 10 = 58.52 r 15 = -8.2580 d 15 = 1.8900 r 16 = ∞ d 16 = 22.210 n 11 = 1.51633 ν 11 = 64.15 r 17 = -9.601 0 Aspheric coefficient R = ∞, P = 1.0000, B = 0, E = 0.23765 × 10 -3 , F = -0.95652 × 10 -4 G = -0.11759 × 10 -4 , H = -0.39212 × 10 -10 , N = 3,4,5,6,7 and 1 of the eighth embodiment
The aspherical surface used in the image transmission optical system in the case of 2 preferably has the following shape. N = 3 R = ∞, P = 1.0000, B = 0, E = 0.35604 × 10 -3 , F = -0.14288 × 10 -3 G = -0.17862 × 10 -4 , H = -0.60130 × 10 -10 N = 4 R = ∞, P = 1.0000, B = 0, E = 0.47415 × 10 -3 , F = -0.18970 × 10 -3 G = -0.24116 × 10 -4 , H = -0.80905 × 10 -10 N = 5 R = ∞, P = 1.0000, B = 0, E = 0.59197 × 10 -3 , F = -0.23612 × 10 -3 G = -0.30521 × 10 -4 , H = -0.10275 × 10 -9 N = 6 R = ∞ , P = 1.0000, B = 0, E = 0.70950 × 10 -3 , F = -0.28213 × 10 -3 G = -0.37076 × 10 -4 , H = -0.12578 × 10 -9 N = 7 R = ∞, P = 1.0000, B = 0, E = 0.82675 × 10 -3 , F = -0.32774 × 10 -3 G = -0.43782 × 10 -4 , H = -0.14856 × 10 -9 N = 12 R = ∞, P = 1.0000 , B = 0, E = 0.14086 × 10 −2 , F = −0.54966 × 10 −3 G = −0.79591 × 10 −4 , H = −0.26743 × 10 −9 D / L of this eighth embodiment and | (A × n) / (N
The value of A ′ × N) | is as follows. D / L = 0.42 | (A * n) / (NA '* N) | = | (E * n) / (NA' * N) | = 0.000234 N = 12 image transmission in this embodiment The aberration situation of the optical system is as shown in FIG. 29, and the aberration situation when the aspherical surface is not used in the image transmission optical system of N = 12 is as shown in FIG.
【００５１】第９の実施例は、図１３に示す構成で、第
１の実施例のＮ＝３の時の像伝送光学系に対物レンズＯ
と接眼レンズＥとを組合わせた時の硬性鏡全体の光学系
を示す。この実施例において、対物レンズの視野角およ
び接眼レンズの観察倍率は、用途に応じて変え得る。尚
データーには接眼レンズは記載していないが例えば図示
するような接眼レンズが用いられる。The ninth embodiment has the configuration shown in FIG. 13 and has an objective lens O in the image transmission optical system when N = 3 in the first embodiment.
The optical system of the whole rigid endoscope when combining and the eyepiece lens E is shown. In this example, the viewing angle of the objective lens and the observation magnification of the eyepiece can be varied depending on the application. Although the eyepiece is not described in the data, an eyepiece as shown in the figure is used.
【００５２】この第９の実施例のレンズデーターおよび
３次，５次の球面収差係数は、下記の通りである。 ｆ＝-1.268 ，Ｆナンバー＝-4.979 ，像高＝-1.0000 倍率＝0.0834 ，物体距離＝-14.0000 ｒ1 ＝∞ ｄ1 ＝0.3211 ｎ1 ＝1.76900 ν1 ＝64.15 ｒ2 ＝∞ ｄ2 ＝0.0917 ｒ3 ＝16.1552 （非球面）ｄ3 ＝0.4587 ｎ2 ＝1.78472 ν2 ＝25.71 ｒ4 ＝∞ ｄ4 ＝0.1835 ｎ3 ＝1.58913 ν3 ＝61.18 ｒ5 ＝0.5376 ｄ5 ＝0.3670 ｒ6 ＝∞ ｄ6 ＝1.1744 ｎ4 ＝1.80610 ν4 ＝40.95 ｒ7 ＝∞（絞り） ｄ7 ＝3.1191 ｎ5 ＝1.80610 ν5 ＝40.95 ｒ8 ＝-2.0349 ｄ8 ＝0.1376 ｒ9 ＝7.8670 ｄ9 ＝1.3761 ｎ6 ＝1.60311 ν6 ＝60.70 ｒ10＝-1.4610 ｄ10＝0.4587 ｎ7 ＝1.84666 ν7 ＝23.88 ｒ11＝-3.5064 ｄ11＝1.0872 ｒ12＝-1.7041 ｄ12＝0.4587 ｎ8 ＝1.58144 ν8 ＝40.75 ｒ13＝2.8950 ｄ13＝1.1468 ｎ9 ＝1.72000 ν9 ＝50.25 ｒ14＝-3.2115 ｄ14＝4.0596 ｒ15＝8.6830 ｄ15＝20.0459 ｎ10＝1.62004 ν10＝36.25 ｒ16＝∞ ｄ16＝1.1835 ｒ17＝6.4803 ｄ17＝0.4587 ｎ11＝1.80610 ν11＝40.95 ｒ18＝2.9606 ｄ18＝1.3761 ｎ12＝1.65160 ν12＝58.52 ｒ19＝-11.5959 ｄ19＝0.8257 ｒ20＝∞ ｄ20＝20.0459 ｎ13＝1.62004 ν13＝36.25 ｒ21＝-8.6830 ｄ21＝1.8349 ｒ22＝∞ ｄ22＝1.8349 ｒ23＝8.6830 ｄ23＝20.0459 ｎ14＝1.62004 ν14＝36.25 ｒ24＝∞ ｄ24＝1.1835 ｒ25＝6.4803 ｄ25＝0.4587 ｎ15＝1.80610 ν15＝40.95 ｒ26＝2.9606 ｄ26＝1.3761 ｎ16＝1.65160 ν16＝58.52 ｒ27＝-11.5959 ｄ27＝0.8257 ｒ28＝∞ ｄ28＝20.0459 ｎ17＝1.62004 ν17＝36.25 ｒ29＝-8.6830 ｄ29＝1.8349 ｒ30＝∞ ｄ30＝1.8349 ｒ31＝8.6830 ｄ31＝19.2110 ｎ18＝1.62004 ν18＝36.25 ｒ32＝∞ ｄ32＝0.9174 ｎ19＝1.78472 ν19＝25.71 ｒ33＝500.0000（非球面）ｄ33＝1.1835 ｒ34＝6.4803 ｄ34＝0.4587 ｎ20＝1.80610 ν20＝40.95 ｒ35＝2.9606 ｄ35＝1.3761 ｎ21＝1.65160 ν21＝58.52 ｒ36＝-11.5959 ｄ36＝0.8257 ｒ37＝∞ ｄ37＝20.0459 ｎ22＝1.62004 ν22＝36.25 ｒ38＝-6.4803 非球面係数 （第３面）Ｒ＝16.1552 ，Ｐ＝1.0000，Ｂ＝0 ，Ｅ＝0.83264 ×10-1 Ｆ＝-0.24461×10-1 （第３３面）Ｒ＝500.0000，Ｐ＝1.0000，Ｂ＝-0.10000×10-2 Ｅ＝0.48178 ×10-3，Ｆ＝-0.16895×10-3 ３次の球面収差係数 ５次の球面収差係数 Ｋ （球面） （非球面） Ｋ （球面） （非球面） １ 0.00000 0.00000 １ 0.00000 0.00000 ２ 0.00000 0.00000 ２ 0.00000 0.00000 ３ 0.00000 -0.00011 ３ 0.00000 0.00000 ４ 0.00000 0.00000 ４ 0.00000 0.00000 ５ 0.00207 0.00000 ５ 0.00015 0.00000 ６ -0.00029 0.00000 ６ 0.00000 0.00000 ７ 0.00000 0.00000 ７ 0.00000 0.00000 ８ -0.00445 0.00000 ８ -0.00017 0.00000 ９ 0.00000 0.00000 ９ 0.00000 0.00000 １０ 0.00327 0.00000 １０ 0.00023 0.00000 １１ -0.00253 0.00000 １１ -0.00008 0.00000 １２ 0.00212 0.00000 １２ 0.00005 0.00000 １３ 0.00000 0.00000 １３ 0.00000 0.00000 １４ -0.00045 0.00000 １４ -0.00001 0.00000 １５ -0.00016 0.00000 １５ 0.00000 0.00000 １６ 0.00044 0.00000 １６ 0.00000 0.00000 １７ -0.01167 0.00000 １７ -0.00039 0.00000 １８ 0.01301 0.00000 １８ 0.00163 0.00000 １９ -0.00390 0.00000 １９ -0.00009 0.00000 ２０ 0.00045 0.00000 ２０ 0.00000 0.00000 ２１ -0.00015 0.00000 ２１ 0.00000 0.00000 ２２ 0.00000 0.00000 ２２ 0.00000 0.00000 ２３ -0.00016 0.00000 ２３ 0.00000 0.00000 ２４ 0.00044 0.00000 ２４ 0.00000 0.00000 ２５ -0.01162 0.00000 ２５ -0.00038 0.00000 ２６ 0.01299 0.00000 ２６ 0.00162 0.00000 ２７ -0.00392 0.00000 ２７ -0.00009 0.00000 ２８ 0.00046 0.00000 ２８ 0.00000 0.00000 ２９ -0.00014 0.00000 ２９ 0.00000 0.00000 ３０ 0.00000 0.00000 ３０ 0.00000 0.00000 ３１ -0.00017 0.00000 ３１ 0.00000 0.00000 ３２ -0.00005 0.00000 ３２ 0.00000 0.00000 ３３ 0.00055 0.00662 ３３ 0.00000 -0.00505 ３４ -0.01193 0.00000 ３４ -0.00040 0.00000 ３５ 0.01320 0.00000 ３５ 0.00166 0.00000 ３６ -0.00387 0.00000 ３６ -0.00008 0.00000 ３７ 0.00044 0.00000 ３７ 0.00000 0.00000 ３８ -0.00022 0.00000 ３８ 0.00000 0.00000 トータル -0.00624 0.00651 トータル 0.00365 -0.00505 この第９の実施例のＤ／Ｌおよび｜（Ａ×ｎ）／（Ｎ
Ａ’×Ｎ）｜の値は下記の通りである。 Ｄ／Ｌ＝０．４６ ｜（Ａ×ｎ）／（ＮＡ’×Ｎ）｜＝｜（Ｅ×ｎ）／（ＮＡ’×Ｎ）｜ ＝０．０００２８４（Ｎ＝３） 又この実施例の収差状況は図３１に示す通りであり、又
上記実施例において非球面を球面に代えた時の収差状況
は図３２の通りである。The lens data and the spherical aberration coefficients of the 3rd and 5th orders of the ninth embodiment are as follows. f = -1.268, F number = -4.979, image height = -1.0000, magnification = 0.0834, object distance = -14.0000 r 1 = ∞ d 1 = 0.3211 n 1 = 1.76900 ν 1 = 64.15 r 2 = ∞ d 2 = 0.0917 r 3 = 16.1552 (aspherical) d 3 = 0.4587 n 2 = 1.78472 ν 2 = 25.71 r 4 = ∞ d 4 = 0.1835 n 3 = 1.58913 ν 3 = 61.18 r 5 = 0.5376 d 5 = 0.3670 r 6 = ∞ d 6 = 1.1744 n 4 = 1.80610 ν 4 ＝ 40.95 r 7 ＝ ∞ (aperture) d 7 ＝ 3.1191 n 5 ＝ 1.80610 ν 5 ＝ 40.95 r 8 ＝ -2.0349 d 8 ＝ 0.1376 r 9 ＝ 7.8670 d 9 ＝ 1.3761 n 6 ＝ 1.60311 ν 6 = 60.70 r 10 = -1.4610 d 10 = 0.4587 n 7 = 1.84666 ν 7 = 23.88 r 11 = -3.5064 d 11 = 1.0872 r 12 = -1.7041 d 12 = 0.4587 n 8 = 1.58144 ν 8 = 40.75 r 13 = 2.8950 d 13 = 1.1468 n 9 = 1.72000 ν 9 = 50.25 r 14 = -3.2115 d 14 = 4.0596 r 15 = 8.6830 d 15 = 20.0459 n 10 = 1.62004 ν 10 = 36.25 r 16 = ∞ d 16 = 1.1835 r 17 = 6.4803 d 17 = 0.4587 n 11 1.80610 ν 11 = 40.95 r 18 = 2.9606 d 18 = 1.3761 n 12 = 1.65160 ν 12 = 58.52 r 19 = -11.5959 d 19 = 0.8257 r 20 = ∞ d 20 = 20.0459 n 13 = 1.62004 ν 13 = 36.25 r 21 = - 8.6830 d 21 = 1.8349 r 22 = ∞ d 22 = 1.8349 r 23 = 8.6830 d 23 = 20.0459 n 14 = 1.62004 ν 14 = 36.25 r 24 = ∞ d 24 = 1.1835 r 25 = 6.4803 d 25 = 0.4587 n 15 = 1.80610 ν 15 = 40.95 r 26 = 2.9606 d 26 = 1.3761 n 16 = 1.65160 ν 16 = 58.52 r 27 = -11.5959 d 27 = 0.8257 r 28 = ∞ d 28 = 20.0459 n 17 = 1.62004 ν 17 = 36.25 r 29 = -8.6830 d 29 = 1.8349 r 30 = ∞ d 30 = 1.8349 r 31 = 8.6830 d 31 = 19.2110 n 18 = 1.62004 ν 18 = 36.25 r 32 = ∞ d 32 = 0.9174 n 19 = 1.78472 ν 19 = 25.71 r 33 = 500.0000 ( aspherical ) d 33 = 1.1835 r 34 = 6.4803 d 34 = 0.4587 n 20 = 1.80610 ν 20 = 40.95 r 35 = 2.9606 d 35 = 1.3761 n 21 = 1.65160 ν 21 = 58.52 r 36 = -11.5959 d 36 ＝ 0.8257 r 37 ＝ ∞ d 37 ＝ 20.0459 n 22 ＝ 1.62004 ν 22 ＝ 36.25 r 38 ＝ -6.4803 Aspherical surface coefficient (third surface) R = 16.1552, P = 1.0000, B = 0, E = 0.83264 × 10 -1 F = -0.24461 × 10 -1 (third surface) R = 500.0000, P = 1.0000, B = -0.10000 × 10 -2 E = 0.48178 × 10 -3 , F = -0.16895 × 10 -3 Third-order spherical aberration Coefficient 5th-order spherical aberration coefficient K (spherical surface) (aspherical surface) K (spherical surface) (aspherical surface) 1 0.00000 0.00000 1 0.00000 0.00000 2 0.00000 0.00000 2 0.00000 0.00000 3 0.00000 -0.00011 3 0.00000 0.00000 4 0.00000 0.00000 4 0.00000 0.00000 5 0.00207 0.00000 5 0.00015 0.00000 6 -0.00029 0.00000 6 0.00000 0.00000 7 0.00000 0.00000 7 0.00000 0.00000 8 -0.00445 0.00000 8 -0.00017 0.00000 9 0.00000 0.00000 9 0.00000 0.00000 10 0.00327 0.00000 10 0.00023 0.00000 11 -0.00253 0.00000 11 -0.00008 0.00000 12 0.00212 0.00000 12 0.00005 0.00000 13 0.00000 0.00000 13 0.00000 0.000 00 14 -0.00045 0.00000 14 -0.00001 0.00000 15 -0.00016 0.00000 15 0.00000 0.00000 16 0.00044 0.00000 16 0.00000 0.00000 17 -0.01167 0.00000 17 -0.00039 0.00000 18 0.01301 0.00000 18 0.00163 0.00000 19 -0.00390 0.00000 19 -0.00009 0.00000 20 0.00045 0.00000 20 0.00000 0.00000 21 -0.00015 0.00000 21 0.00000 0.00000 22 0.00000 0.00000 22 0.00000 0.00000 23 -0.00016 0.00000 23 0.00000 0.00000 24 0.00044 0.00000 24 0.00000 0.00000 25 -0.01162 0.00000 25 -0.00038 0.00000 26 0.01299 0.00000 26 0.00162 0.00000 27 -0.00392 0.00000 27 -0.00009 0.00000 28 0.00046 0.00000 28 0.00000 0.00000 29 -0.00014 0.00000 29 0.00000 0.00000 30 30.000 0.00000 30 0.00000 0.00000 31 -0.00017 0.00000 31 0.00000 0.00000 32 -0.00005 0.00000 32 0.00000 0.00000 33 0.00055 0.00662 33 0.00000 -0.00505 34 -0.01193 0.00000 34 -0.00040 0.00000 35 0.013 20 0.00000 35 0.00166 0.00000 36 -0.00387 0.00000 36 -0.00008 0.00000 37 0.00044 0.00000 37 0.00000 0.00000 38 -0.00022 0.00000 38 0.00000 0.00000 Total -0.00624 0.00651 Total 0.00365 -0.00505 D / L and | (A × n) ) / (N
The value of A ′ × N) | is as follows. D / L = 0.46 | (A * n) / (NA '* N) | = | (E * n) / (NA' * N) | = 0.000284 (N = 3) The aberration situation is as shown in FIG. 31, and the aberration situation when the aspherical surface is replaced by a spherical surface in the above embodiment is as shown in FIG.
【００５３】以上述べた各実施例等のデーターにおい
て、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、ν1 ，ν2 ，・・・ は各
レンズのアッベ数である。又非球面のデーター中Ｒは基
準球面の曲率半径、球面収差係数のＫは面番号である。In the data of the above-described embodiments, r 1 , r 2 , ... Are the radii of curvature of the lens surfaces, and d 1 ,
d 2 , ... Is the thickness and lens spacing of each lens, n 1 ,
n 2 , ... is the refractive index of each lens, and ν 1 , ν 2 , ... Is the Abbe number of each lens. In the aspherical surface data, R is the radius of curvature of the reference spherical surface, and K of the spherical aberration coefficient is the surface number.
【００５４】本発明は、特許請求の範囲の各請求項に記
載する像伝送光学系の他に次に記載する各項の像伝送光
学系等も含まれる。The present invention includes not only the image transmission optical system described in each of the claims but also the image transmission optical system of each of the following items.
【００５５】（１） 特許性請求の範囲の第３項に記載
した光学系で下記の条件（４）を満足する像伝送光学
系。(1) An image transmission optical system satisfying the following condition (4) with the optical system described in claim 3 of the patentability.
【００５６】 （４） ０．００００１≦｜Ａ×ｎ／ＮＡ’×Ｎ｜ ただし、Ａは非球面係数Ｅ，Ｆ，Ｇ，Ｈ，・・・のうち
の最も数値の大きい係数、ｎは非球面レンズの屈折率、
ＮＡ’は像伝送光学系の射出側の開口数、Ｎは伝送回数
である。(4) 0.00001 ≦ | A × n / NA ′ × N | where A is the coefficient with the largest numerical value among the aspherical surface coefficients E, F, G, H, ... Refractive index of spherical lens,
NA 'is the numerical aperture on the exit side of the image transmission optical system, and N is the number of transmissions.
【００５７】（２） 特許請求の範囲の第１項に記載し
た光学系で、視野レンズを含む外径の数倍の長さを有す
る二つのロッドレンズと両ロッドレンズの間に配置され
た凹レンズと凸レンズとを接合した接合レンズとにて１
回リレーのリレーレンズを構成する像伝送光学系。(2) In the optical system according to the first aspect of the invention, two rod lenses having a length several times the outer diameter including a field lens, and a concave lens arranged between the two rod lenses. 1 with a cemented lens in which a convex lens is cemented
An image transmission optical system that forms the relay lens of a time relay.
【００５８】（３） 特許請求の範囲の第１項に記載し
た光学系で、複数回像伝送するリレーレンズよりなり、
各リレーレンズの瞳近傍で発生する球面収差の和を、一
つのリレーレンズの瞳近傍に設けた少なくとも一つの非
球面により補正するようにした像伝送光学系。(3) The optical system according to the first aspect of the invention, which comprises a relay lens that transmits an image a plurality of times,
An image transmission optical system in which the sum of spherical aberrations generated near the pupil of each relay lens is corrected by at least one aspherical surface provided near the pupil of one relay lens.
【００５９】（４） 特許請求の範囲の第１項に記載し
た光学系で、複数回像伝送するリレーレンズよりなり、
最も像側のリレーレンズの瞳近傍に球面収差を補正する
非球面を少なくとも一つ設けた像伝送光学系。(4) The optical system according to the first aspect of the invention, which comprises a relay lens that transmits an image a plurality of times,
An image transmission optical system in which at least one aspherical surface for correcting spherical aberration is provided near the pupil of the relay lens closest to the image side.
【００６０】[0060]
【発明の効果】本発明は、非球面レンズを効果的に用い
ることによって球面収差、非点収差、像面湾曲の良好に
補正された製作コストの安い像伝送光学系を実現し得る
ようにしたものである。According to the present invention, it is possible to realize an inexpensive image transmission optical system in which spherical aberration, astigmatism, and field curvature are well corrected by effectively using an aspherical lens. It is a thing.
【図１】本発明の第１の実施例のリレー回数１回の像伝
送光学系の断面図FIG. 1 is a sectional view of an image transmission optical system according to a first embodiment of the present invention with one relay.
【図２】本発明の第１の実施例のリレー回数２回の像伝
送光学系の断面図FIG. 2 is a sectional view of an image transmission optical system in which the number of relays is 2 according to the first embodiment of the present invention.
【図３】本発明の第２の実施例のリレー回数１回の像伝
送光学系の断面図FIG. 3 is a cross-sectional view of an image transmission optical system in which the number of relays is 1 according to the second embodiment of the present invention.
【図４】本発明の第２の実施例のリレー回数２回の像伝
送光学系の断面図FIG. 4 is a cross-sectional view of an image transmission optical system in which the number of relays is 2 according to the second embodiment of the present invention.
【図５】本発明の第３の実施例のリレー回数１回の像伝
送光学系の断面図FIG. 5 is a sectional view of an image transmission optical system in which the number of relays is one according to the third embodiment of the present invention.
【図６】本発明の第３の実施例のリレー回数１回の像伝
送光学系の断面図FIG. 6 is a cross-sectional view of an image transmission optical system in which the number of relays is one according to the third embodiment of the present invention.
【図７】本発明の第４の実施例のリレー回数１回の像伝
送光学系の断面図FIG. 7 is a cross-sectional view of an image transmission optical system with one relay according to a fourth embodiment of the present invention.
【図８】本発明の第５の実施例のリレー回数１回の像伝
送光学系の断面図FIG. 8 is a cross-sectional view of an image transmission optical system with one relay according to a fifth embodiment of the present invention.
【図９】本発明の第６の実施例のリレー回数１回の像伝
送光学系の断面図FIG. 9 is a sectional view of an image transmission optical system in which the number of relays is one according to the sixth embodiment of the present invention.
【図１０】本発明の第７の実施例のリレー回数１回の像
伝送光学系の断面図FIG. 10 is a cross-sectional view of an image transmission optical system with a single relay according to a seventh embodiment of the present invention.
【図１１】本発明の第８の実施例のリレー回数１回の像
伝送光学系の断面図FIG. 11 is a cross-sectional view of an image transmission optical system with a single relay according to an eighth embodiment of the present invention.
【図１２】本発明の第８の実施例のリレー回数２回の像
伝送光学系の断面図FIG. 12 is a sectional view of an image transmission optical system according to an eighth embodiment of the present invention with two relays.
【図１３】本発明の第９の実施例のリレー回数３回の像
伝送光学系を備えた硬性鏡光学系の断面図FIG. 13 is a sectional view of a rigid endoscope optical system including an image transmission optical system with a relay number of 3 according to a ninth embodiment of the present invention.
【図１４】本発明の第１の実施例のリレー回数１回の像
伝送光学系の収差曲線図FIG. 14 is an aberration curve diagram of the image transmission optical system with one relay according to the first embodiment of the present invention.
【図１５】本発明の第１の実施例のリレー回数１３回の
像伝送光学系の収差曲線図FIG. 15 is an aberration curve diagram of the image transmission optical system with 13 relays according to the first embodiment of the present invention.
【図１６】本発明の第１の実施例のリレー回数１３回の
光学系で非球面を用いない像伝送光学系の収差曲線図FIG. 16 is an aberration curve diagram of an image transmission optical system that does not use an aspherical surface in the optical system with 13 relays according to the first embodiment of the present invention.
【図１７】本発明の第１の実施例の球面収差およびＭＴ
Ｆを示す図FIG. 17 shows spherical aberration and MT of the first embodiment of the present invention.
Diagram showing F
【図１８】本発明の第２の実施例のリレー回数１回の像
伝送光学系の収差曲線図FIG. 18 is an aberration curve diagram of an image transmission optical system with one relay according to the second embodiment of the present invention.
【図１９】本発明の第２の実施例のリレー回数１３回の
像伝送光学系の収差曲線図FIG. 19 is an aberration curve diagram of the image transmission optical system with 13 relays according to the second embodiment of the present invention.
【図２０】本発明の第２の実施例のリレー回数１３回の
光学系と同じ構成で非球面を用いない像伝送光学系の収
差曲線図FIG. 20 is an aberration curve diagram of an image transmission optical system having the same configuration as the optical system with 13 relays according to the second embodiment of the present invention and using no aspherical surface.
【図２１】本発明の第３の実施例のリレー回数１回の像
伝送光学系の収差曲線図FIG. 21 is an aberration curve diagram of the image transmission optical system with one relay according to the third embodiment of the present invention.
【図２２】本発明の第３の実施例のリレー回数１３回の
像伝送光学系の収差曲線図FIG. 22 is an aberration curve diagram of an image transmission optical system with 13 relays according to the third embodiment of the present invention.
【図２３】本発明の第３の実施例のリレー回数１３回の
光学系と同一構成で非球面を用いない像伝送光学系の収
差曲線図FIG. 23 is an aberration curve diagram of an image transmission optical system having the same configuration as the optical system with 13 relays according to the third embodiment of the present invention and using no aspherical surface.
【図２４】本発明の第４の実施例の収差曲線図FIG. 24 is an aberration curve diagram for the fourth example of the present invention.
【図２５】本発明の第５の実施例の収差曲線図FIG. 25 is an aberration curve diagram of the fifth embodiment of the present invention.
【図２６】本発明の第６の実施例の収差曲線図FIG. 26 is an aberration curve diagram for the sixth example of the present invention.
【図２７】本発明の第７の実施例の収差曲線図FIG. 27 is an aberration curve diagram for the seventh example of the present invention.
【図２８】本発明の第８の実施例のリレー回数１回の像
伝送光学系の収差曲線図FIG. 28 is an aberration curve diagram of an image transmission optical system in which the number of relays is one according to the eighth embodiment of the present invention.
【図２９】本発明の第８の実施例のリレー回数１２回の
像伝送光学系の収差曲線図FIG. 29 is an aberration curve diagram of an image transmission optical system with 12 relays according to an eighth embodiment of the present invention.
【図３０】本発明の第８の実施例のリレー回数１２回の
光学系と同一構成で非球面を用いない像伝送光学系FIG. 30 is an image transmission optical system having the same configuration as the optical system with 12 relays according to the eighth embodiment of the present invention but using no aspherical surface.
【図３１】本発明の第９の実施例の像伝送光学系を有す
る硬性鏡光学系の収差曲線図FIG. 31 is an aberration curve diagram of a rigid endoscope optical system having an image transmission optical system according to a ninth embodiment of the present invention.
【図３２】上記図３１の光学系と同一の構成で非球面を
用いない硬性鏡光学系の収差曲線図32 is an aberration curve diagram of a rigid mirror optical system having the same configuration as the optical system of FIG. 31 and using no aspherical surface.
【図３３】従来の硬性鏡光学系の構成を示す図FIG. 33 is a diagram showing a configuration of a conventional rigid endoscope optical system.
【図３４】図３３の光学系で用いられる像伝送光学系の
断面図34 is a sectional view of an image transmission optical system used in the optical system of FIG.
【図３５】図３４の光学系の球面収差曲線図35 is a spherical aberration curve diagram of the optical system of FIG. 34.
【図３６】図３４に示すレンズ系でリレー回数が５回の
球面収差およびＭＴＦを示す図36 is a diagram showing spherical aberration and MTF when the number of relays is 5 in the lens system shown in FIG.
【図３７】従来の他の像伝送光学系の断面図FIG. 37 is a sectional view of another conventional image transmission optical system.
【図３８】図３７の光学系の球面収差曲線図38 is a spherical aberration curve diagram of the optical system in FIG. 37.
【図３９】従来の更に他の像伝送光学系の断面図FIG. 39 is a sectional view of still another conventional image transmission optical system.
Claims (4)
像のリレーを行なう光学系において、光学系の瞳近傍に
球面収差を補正する非球面を少なくとも一つ設けたこと
を特徴とする像伝送光学系。1. An image transmission optical system comprising at least one aspherical surface for correcting spherical aberration in the vicinity of the pupil of the optical system in an optical system comprising a plurality of lenses and relaying an image at least once. system.
送光学系。 （１） ０．２＜Ｄ／Ｌ＜０．８ ただしＬは１回伝送あたりの物体側の像から伝送後の結
像側の像までの距離、Ｄは前記物体側の像から瞳近傍の
非球面までの距離である。2. The image transmission optical system according to claim 1, wherein the following condition (1) is satisfied. (1) 0.2 <D / L <0.8 where L is the distance from the image on the object side to the image on the imaging side after transmission, and D is the distance from the image on the object side to the vicinity of the pupil. It is the distance to the aspherical surface.
式にて表わされ、前記非球面が屈折率の高い媒質から屈
折率の低い媒質へ光が進む場合は低次の非球面係数が正
で高次の非球面係数が負、又屈折率の低い媒質から屈折
率の高い媒質へ光が進む場合は低次の非球面係数が負で
高次の非球面係数が正であることを特徴とする請求項１
の像伝送光学系。 ここでｘ，ｙは光軸をｘ軸にとり像の方向を正方向とし
面と光軸との交点を原点としてｘ軸に直交する方向をｙ
軸とした時の座標値、Ｃは光軸近傍でこの非球面に接す
る円の曲率半径、ｐは非球面の形状をあらわすパラメー
ター、Ｂ，Ｅ，Ｆ，Ｇ，・・・は夫々２次，４次，６
次，８次，・・・の非点収差係数である。3. An aspherical surface for correcting spherical aberration is represented by the following formula, and when the aspherical surface propagates light from a medium having a high refractive index to a medium having a low refractive index, a low-order aspherical surface. The coefficient is positive and the higher-order aspherical coefficient is negative, and when light travels from a medium with a low refractive index to a medium with a high refractive index, the low-order aspherical coefficient is negative and the high-order aspherical coefficient is positive. Claim 1 characterized by the above.
Image transmission optics. Here, x and y are the directions orthogonal to the x axis with the optical axis as the x axis, the image direction as the positive direction, and the origin at the intersection of the plane and the optical axis.
Coordinate values when used as an axis, C is the radius of curvature of a circle in contact with this aspherical surface in the vicinity of the optical axis, p is a parameter that represents the shape of the aspherical surface, B, E, F, G, ... 4th, 6th
Next-order, eighth-order, ... Astigmatism coefficients.
の高い媒質から屈折率の低い媒質へ光が進む場合下記条
件（２）を満足し、又屈折率の低い媒質から屈折率の高
い媒質へ光が進む場合下記条件（３）を満足することを
特徴とする請求項（３）の像伝送光学系。 （２） Ｅ＞０ ， Ｆ＜０ ， Ｇ＜０ （３） Ｅ＜０ ， Ｆ＞０ ， Ｇ＞０4. When light travels from a medium having a high refractive index to a medium having a low refractive index on an aspherical surface for correcting spherical aberration, the following condition (2) is satisfied, and a medium having a low refractive index changes its refractive index from the medium having a low refractive index. The image transmission optical system according to claim 3, wherein the following condition (3) is satisfied when the light travels to a high medium. (2) E> 0, F <0, G <0 (3) E <0, F> 0, G> 0
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP25730494A JPH0894928A (en) | 1994-09-28 | 1994-09-28 | Image transmission optical system |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP25730494A JPH0894928A (en) | 1994-09-28 | 1994-09-28 | Image transmission optical system |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| JPH0894928A true JPH0894928A (en) | 1996-04-12 |
Family
ID=17304507
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP25730494A Withdrawn JPH0894928A (en) | 1994-09-28 | 1994-09-28 | Image transmission optical system |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JPH0894928A (en) |
Cited By (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP2016519341A (en) * | 2013-05-15 | 2016-06-30 | ノバダック テクノロジーズ インコーポレイテッド | High compensation relay system |
| WO2017203926A1 (en) * | 2016-05-25 | 2017-11-30 | オリンパス株式会社 | Optical system for hard mirror |
| US9877654B2 (en) | 2006-02-07 | 2018-01-30 | Novadaq Technologies Inc. | Near infrared imaging |
| US9968244B2 (en) | 2000-07-14 | 2018-05-15 | Novadaq Technologies ULC | Compact fluorescence endoscopy video system |
| US10182709B2 (en) | 2002-01-15 | 2019-01-22 | Novadaq Technologies ULC | Filter for use with imaging endoscopes |
| US10293122B2 (en) | 2016-03-17 | 2019-05-21 | Novadaq Technologies ULC | Endoluminal introducer with contamination avoidance |
| US10768394B2 (en) | 2018-01-22 | 2020-09-08 | Largan Precision Co., Ltd. | Electronic device |
-
1994
- 1994-09-28 JP JP25730494A patent/JPH0894928A/en not_active Withdrawn
Cited By (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US9968244B2 (en) | 2000-07-14 | 2018-05-15 | Novadaq Technologies ULC | Compact fluorescence endoscopy video system |
| US10182709B2 (en) | 2002-01-15 | 2019-01-22 | Novadaq Technologies ULC | Filter for use with imaging endoscopes |
| US9877654B2 (en) | 2006-02-07 | 2018-01-30 | Novadaq Technologies Inc. | Near infrared imaging |
| JP2016519341A (en) * | 2013-05-15 | 2016-06-30 | ノバダック テクノロジーズ インコーポレイテッド | High compensation relay system |
| US10293122B2 (en) | 2016-03-17 | 2019-05-21 | Novadaq Technologies ULC | Endoluminal introducer with contamination avoidance |
| WO2017203926A1 (en) * | 2016-05-25 | 2017-11-30 | オリンパス株式会社 | Optical system for hard mirror |
| US10768394B2 (en) | 2018-01-22 | 2020-09-08 | Largan Precision Co., Ltd. | Electronic device |
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