JPH0876013A - Projection lens - Google Patents
Projection lensInfo
- Publication number
- JPH0876013A JPH0876013A JP6208282A JP20828294A JPH0876013A JP H0876013 A JPH0876013 A JP H0876013A JP 6208282 A JP6208282 A JP 6208282A JP 20828294 A JP20828294 A JP 20828294A JP H0876013 A JPH0876013 A JP H0876013A
- Authority
- JP
- Japan
- Prior art keywords
- lens
- lens group
- aspherical
- coefficient
- focal length
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Pending
Links
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- Transforming Electric Information Into Light Information (AREA)
- Lenses (AREA)
Abstract
Description
【０００１】[0001]
【産業上の利用分野】本発明は投写レンズ、特にＣＲＴ
上の高精細画像をスクリーン上に拡大投影するビデオプ
ロジェクター用投写レンズに関する。BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a projection lens, particularly a CRT.
The present invention relates to a projection lens for a video projector, which magnifies and projects the above high-definition image on a screen.
【０００２】[0002]
【従来の技術】一般に３管式のビデオプロジェクターで
は、Ｂ（青）、Ｇ（緑）、Ｒ（赤）の３色の単色ＣＲＴ
の各々の画像を投写レンズによりスクリーン上に投影し
合成を行うが、高品位テレビ用などの高精細な画像投写
を行うための投写レンズとしては、色収差補正を行い、
非球面プラスチックレンズ等を用いて有効に収差補正が
行われており、残存収差の低減が図られている。たとえ
ば、特開昭６１−２４７１７号公報、特開昭６３−１６
９６１０号公報等が知られている。2. Description of the Related Art Generally, in a three-tube type video projector, a monochromatic CRT of three colors of B (blue), G (green) and R (red) is used.
Each image of is projected onto the screen by the projection lens and synthesized, but as a projection lens for performing high-definition image projection for high-definition television, chromatic aberration correction is performed,
Aberration correction is effectively performed using an aspherical plastic lens or the like, and residual aberration is reduced. For example, Japanese Patent Laid-Open Nos. 61-24717 and 63-16.
Japanese Patent Publication No. 9610 is known.
【０００３】[0003]
【発明が解決しようとする課題】しかしながら、従来の
高精細度用の投写レンズは、大口径比としようとすると
サジタルフレアの増大等のため、あまり口径比が大きく
できず、大画面への投写では、スクリーン輝度が不十分
となっていた。高輝度な投写画像を得るために、６管式
あるいは９管式などのシステム構成を行うこともできる
が、システムとしての重量、サイズ、コストや調整工数
等の増大を招くこととなる。However, the conventional projection lens for high definition cannot project a large aperture ratio because the sagittal flare increases and the aperture ratio cannot be increased. Then, the screen brightness was insufficient. In order to obtain a high-luminance projected image, a system configuration such as a 6-tube system or a 9-tube system can be used, but this will increase the weight, size, cost, and adjustment man-hours of the system.
【０００４】レンズの改善によって明るい投写像を得る
方法としては、大口径比化を行いＣＲＴから放射される
光量を有効に画像投写することであるが、全系の焦点距
離をそのままに大口径比とすれば、レンズ口径が大きく
なり、重量、コストの増大を招く。すなわち、レンズ口
径をおさえたまま大口径比とするためには、収差特性等
を良好に補正したまま焦点距離の短縮、すなわち広角化
を行う必要がある。A method of obtaining a bright projection image by improving the lens is to enlarge the aperture ratio and effectively project the amount of light emitted from the CRT. However, the focal length of the entire system remains unchanged. In that case, the lens aperture becomes large, resulting in an increase in weight and cost. That is, in order to obtain a large aperture ratio while keeping the lens aperture small, it is necessary to shorten the focal length, that is, widen the angle while satisfactorily correcting aberration characteristics and the like.
【０００５】ところで大口径化にはエルノスター型が有
利だが広角化には適していない。フィールドフラットナ
ーの追加と、非球面化によってペッツバール和およびサ
ジタルフレアーの改善がなされるが、前群の正レンズの
パワーが大のため開口効率が著しく減少するために広角
化には限界がある。By the way, the Ernoster type is advantageous for increasing the diameter, but is not suitable for increasing the angle of view. Although Petzval sum and sagittal flare are improved by adding a field flattener and aspherical surface, there is a limit to widening the angle because the positive lens in the front group has a large power and the aperture efficiency is significantly reduced.
【０００６】広角化にはガウス型がエルノスター型より
も一般的に有利だがビデオプロジェクター用の投写レン
ズに使用する場合には、大口径レンズの張り合わせが困
難なため不適当である。The Gauss type is generally more advantageous than the Ernostar type for widening the angle of view, but when it is used for a projection lens for a video projector, it is unsuitable because it is difficult to attach a large aperture lens.
【０００７】レトロフォーカス型は負レンズが先頭にあ
り入射瞳が前進するので開口効率が高く、広角化には有
利である。しかし軸上光線を先頭の負レンズで広げるた
めに、レンズ径の増大と、球面収差補正のために構成枚
数の増大を引き起こす。In the retrofocus type, the negative lens is at the front and the entrance pupil advances, so that the aperture efficiency is high and it is advantageous for widening the angle. However, since the axial ray is expanded by the leading negative lens, the lens diameter increases and the number of constituent elements increases for spherical aberration correction.
【０００８】本発明は、上記問題点を鑑み、明るい高精
細な投写画像を得るのに適し、半画角が約３０度にもお
よぶ広角な投写レンズを提供することを目的とする。In view of the above problems, it is an object of the present invention to provide a wide-angle projection lens suitable for obtaining a bright and high-definition projected image and having a half angle of view of about 30 degrees.
【０００９】[0009]
【課題を解決するための手段】本発明の構成はペッツバ
ール型を基本としている。ペッツバール型は各レンズ群
が色消しされ正パワーを持った２レンズ群構成で、球面
収差と色収差が良く補正され、コンパクトで大口径化に
は強い構成である。このペッツバール型の前群の正パワ
ーを弱くすることで入射瞳を前進させ、レトロフォーカ
ス的に使い広角化に対応する。ペッツバール型の前レン
ズ群の正パワーが減少すると後方のレンズ群の正パワー
が増大し球面収差が補正不足となるので非球面レンズを
先頭に付加する。ペッツバール和の補正のためと、パワ
ー配置のアンバランスからくる歪曲収差補正のために、
フィールドフラットナーが付加される。また像面性能の
向上のためにフィールドフラットナーの前側に非球面レ
ンズが付加され、増大したペッツバール型後レンズ群の
正パワーを分担しペッツバール型後レンズ群の負担を軽
減する。The structure of the present invention is based on the Petzval type. The Petzval type is a two-lens group structure in which each lens group is achromatic and has a positive power, spherical aberration and chromatic aberration are well corrected, and it is compact and strong in increasing the aperture. By weakening the positive power of the Petzval-type front lens group, the entrance pupil is moved forward, and it is used retrospectively to cope with widening of the angle. When the positive power of the Petzval type front lens unit decreases, the positive power of the rear lens unit increases and spherical aberration is undercorrected, so an aspherical lens is added to the front. For the Petzval sum correction and for the distortion aberration correction due to the imbalance of the power arrangement,
A field flattener is added. In addition, an aspherical lens is added to the front side of the field flattener to improve the image surface performance, and the increased positive power of the Petzval-type rear lens group is shared to reduce the load on the Petzval-type rear lens group.
【００１０】すなわちトータルとして５レンズ群構成と
なる。第１レンズ群は非球面化された弱いパワーの開口
収差補正レンズ。第２レンズ群はペッツバール型の前群
で色消しされた弱いパワーのレンズ群。第３レンズ群は
ペッツバール型の後レンズ群で色消しされた強い正パワ
ーのレンズ群。第４レンズ群は像面性能向上のための非
球面化され、第３レンズ群のパワーを分担する正パワー
のレンズ。第５レンズ群はペッツバール和を補正し、像
面湾曲、歪曲を補正するために非球面化されたフィール
ドフラットナーで、強い負パワーのレンズとする。That is, a total of 5 lens groups is formed. The first lens group is an aspherical lens having a weak power and correcting aperture aberration. The second lens group is a weak power lens group that is achromatized in the Petzval front group. The third lens group is a strong positive power lens group that is achromatized by the Petzval type rear lens group. The fourth lens group is an aspherical lens for improving the image surface performance, and is a positive power lens that shares the power of the third lens group. The fifth lens group is a field flattener which is an aspherical surface for correcting Petzval sum and for correcting field curvature and distortion, and is a lens of strong negative power.
【００１１】上記の考えにもとずき口径比１：１．１、
半画角３０゜という大口径広角レンズのために、下記の
各条件を満たすよう構成するものである。 (1) ｜f1/f0｜＞ 12 (2) ｜f2/f0｜＞ 4.8 (3) 1.0 ＜ f3/f0 ＜ 1.8 (4) 1.9 ＜ f4/f0 ＜ 5 (5) -1.9 ＜ f5/f0 ＜ -1.2 (6) d12/f0 ＜ 0.2 (7) 0.12 ＜ d23/f0 ＜ 0.16 (8) ｆB1 ≦ 0 ただし、 f0 : 投写レンズ全系の焦点距離 f1 : 第１レンズ群の焦点距離 f2 : 第２レンズ群の焦点距離 f3 : 第３レンズ群の焦点距離 f5 : 第５レンズ群の焦点距離 d12 :第１レンズ群と第２レンズ群の光軸上の空気間隔 d23 :第２レンズ群と第３レンズ群の光軸上の空気間隔 ｆB1 :第１レンズ群における非球面形状を有効径内で、
球面にベストフィットし、その球面の曲率を用いて計算
した第１レンズの焦点距離 (9) -1.2 ＜ f2P/f2N ＜ -0.7 (10) -0.6 ＜ f3P/f3N ＜ -0.4 (11) 1.3 ＜ (f2P/f2N)/(f3P/f3N) ＜ 2.4 ただし、 f2P :第２レンズ群の正レンズの合成した焦点距離 f2N :第２レンズ群の負レンズの焦点距離 f3P :第３レンズ群の正レンズの合成した焦点距離 f3N :第３レンズ群の負レンズの焦点距離 (12) -3.5 ＜ f4 /f5 ＜ -0.7 ただし、 ｆ4 :第４レンズ群の焦点距離 ｆ5 :第５レンズ群の焦点距離Based on the above idea, the ratio of aperture diameters is 1: 1.1,
For a large-diameter wide-angle lens with a half angle of view of 30 °, it is constructed so as to satisfy the following conditions. (1) | f1 / f0 |> 12 (2) | f2 / f0 |> 4.8 (3) 1.0 <f3 / f0 <1.8 (4) 1.9 <f4 / f0 <5 (5) -1.9 <f5 / f0 < -1.2 (6) d12 / f0 <0.2 (7) 0.12 <d23 / f0 <0.16 (8) fB1 ≤ 0 where f0: focal length of the entire projection lens system f1: focal length of the first lens group f2: second Focal length of lens group f3: Focal length of third lens group f5: Focal length of fifth lens group d12: Air gap on optical axis between first lens group and second lens group d23: Second lens group and third Air distance on the optical axis of the lens group fB1: The aspherical shape of the first lens group within the effective diameter,
Focal length of the first lens calculated by using the curvature of the best fit spherical surface (9) -1.2 <f2P / f2N <-0.7 (10) -0.6 <f3P / f3N <-0.4 (11) 1.3 < (f2P / f2N) / (f3P / f3N) <2.4 where f2P is the combined focal length of the positive lens of the second lens group f2N is the focal length of the negative lens of the second lens group f3P is the positive lens of the third lens group F3N: Focal length of negative lens of third lens group (12) -3.5 <f4 / f5 <-0.7 where f4: Focal length of fourth lens group f5: Focal length of fifth lens group
【００１２】[0012]
【作用】本発明の投写レンズにおいて、第１レンズ群
は、主として球面収差、コマ収差補正を行う。条件
（１）は、全レンズ系の焦点距離に対する第１レンズ群
の焦点距離を規定する条件であり、条件より焦点距離が
絶対値で小さくなるとf1が正の値を持つときは、開口効
率が減少し像面性能が補正困難になり、またf1が負の値
を持つときは、第２レンズ群に入射する軸上光線高が増
大し、レンズ全体の有効径の増大を招く。また、第１レ
ンズ群で発生する軸外色収差が過大となり、後続するレ
ンズ群による色収差補正が困難となる。In the projection lens of the present invention, the first lens group mainly corrects spherical aberration and coma. The condition (1) defines the focal length of the first lens group with respect to the focal length of the entire lens system. When the focal length becomes smaller in absolute value than the condition, when f1 has a positive value, the aperture efficiency is When f1 has a negative value, the height of the axial ray incident on the second lens group increases, and the effective diameter of the entire lens increases. Further, the off-axis chromatic aberration generated in the first lens group becomes excessive, and it becomes difficult to correct the chromatic aberration by the subsequent lens group.
【００１３】第２レンズ群は、正レンズと負レンズより
構成され、第１レンズ群側に正レンズを配置することに
より、第３レンズ群の最大光線高を低くし、レンズの口
径の増大をおさえ、コンパクト化、軽量化を図ってい
る。条件（２）は、全レンズ系の焦点距離に対する第２
レンズ群の焦点距離を規定する条件であり、条件より焦
点距離が絶対値で小さくなるとf2が正の値を持つとき
は、開口効率が減少し像面性能が補正困難になる。特に
軸外光線の下光線が第２レンズ群を構成する正レンズの
第５レンズ群側の面で、出射角が増大し補正困難とな
る。またf2が負の値を持つときは、第３レンズ群に入射
する軸上光線高が増大し、第３レンズ群の有効径の増大
を招くのみならず球面収差が補正困難となる。The second lens group is composed of a positive lens and a negative lens. By arranging the positive lens on the first lens group side, the maximum ray height of the third lens group is lowered and the aperture of the lens is increased. It is designed to be compact and lightweight. The condition (2) is the second condition for the focal length of all lens systems.
It is a condition that defines the focal length of the lens group. If the absolute value of the focal length is smaller than the condition, when f2 has a positive value, the aperture efficiency decreases and it becomes difficult to correct the image plane performance. In particular, the lower ray of the off-axis ray is increased in the exit angle on the surface of the positive lens forming the second lens group on the side of the fifth lens group, which makes correction difficult. When f2 has a negative value, the height of the axial ray incident on the third lens group increases, which not only causes an increase in the effective diameter of the third lens group but also makes it difficult to correct spherical aberration.
【００１４】第３レンズ群と第４レンズ群がメインのパ
ワーを有している。条件（３）は、第３レンズ群のパワ
ーを規定するものであり、上限を越えると、レンズ全長
が増大し、開口効率が減少し、軸外光線の下光線の屈折
が不足して補正困難となる。下限を越し焦点距離が短く
なると、第３群を構成する各正レンズが非常に大きな曲
率をもって厚肉となり、レンズ重量、コストが増大する
のみならずコマ収差、非点収差が過大となるため、良好
な収差補正が望めなくなる。上記第４レンズ群、第５レ
ンズ群はＣＲＴの近くに位置し、軸外光束が通過する光
線高が高くなるので非球面化することにより特に、軸外
収差の補正を有効にすることができる。条件（４）は、
第４レンズ群のパワーを規定するものであり、条件を越
えると、第３レンズ群の正パワーを増減させ収差補正を
困難にする。条件（５）は、第５レンズ群のパワーを規
定するものであり、条件の下限を越えると、ペッツバー
ル和を補正できなくなり像面湾曲を引き起こし像面性能
を確保できなくなり高品位プロジェクション用の投写レ
ンズとしての性能を確保できなくなる。上限を越えると
曲率半径が増大し、第４レンズ群と第５レンズ群との面
間隔でフォーカシングする本発明のようなプロジェクシ
ョン用投写レンズにおいては、フォーカシング範囲が極
度に限定され、汎用性が限定される。条件（６）は、全
レンズ系の焦点距離に対する第１レンズ群の焦点距離を
から第２レンズ群間の光軸上の空気間隔を規定する条件
であり、主として球面収差、コマ収差補正を行う第１レ
ンズ群と第２レンズ群の空気間隔が、上限を越えると、
レンズ全長が過大となるのみならず、第２レンズ群に入
射する軸上光線高が増大し、レンズ全体の有効径の増大
を招く。また、第１レンズ群で発生する軸外色収差が過
大となり、後続するレンズ群による色収差補正が困難と
なる。条件（７）は、第２レンズ群と第３レンズ群間の
光軸上の空気間隔を規定する条件であり、条件を越える
と倍率の色収差、開口効率、像面性能を維持できなくな
る。The third lens group and the fourth lens group have main power. The condition (3) defines the power of the third lens group. If the upper limit is exceeded, the total lens length increases, the aperture efficiency decreases, and the lower ray of the off-axis ray is insufficiently refracted, which makes correction difficult. Becomes If the focal length becomes shorter than the lower limit, each positive lens forming the third lens group becomes thick with a very large curvature, and not only the lens weight and cost increase but also coma and astigmatism become excessive. Good aberration correction cannot be expected. The fourth lens group and the fifth lens group are located near the CRT, and the height of the ray through which the off-axis light flux passes increases. Therefore, by correcting the aspherical surface, it is possible to effectively correct the off-axis aberration. . Condition (4) is
It defines the power of the fourth lens group. If the condition is exceeded, the positive power of the third lens group is increased or decreased to make aberration correction difficult. The condition (5) defines the power of the fifth lens group, and if the lower limit of the condition is exceeded, the Petzval sum cannot be corrected, the field curvature is caused, and the field performance cannot be ensured, and the projection for high-quality projection is performed. The performance as a lens cannot be secured. When the upper limit is exceeded, the radius of curvature increases, and in a projection lens for projection such as the present invention in which focusing is performed at the surface distance between the fourth lens unit and the fifth lens unit, the focusing range is extremely limited and versatility is limited. To be done. The condition (6) is a condition that defines the air distance on the optical axis between the second lens units from the focal length of the first lens unit with respect to the focal length of the entire lens system, and mainly performs spherical aberration and coma aberration correction. If the air gap between the first lens group and the second lens group exceeds the upper limit,
Not only is the overall length of the lens too large, but the height of the axial ray incident on the second lens group increases, which causes an increase in the effective diameter of the entire lens. Further, the off-axis chromatic aberration generated in the first lens group becomes excessive, and it becomes difficult to correct the chromatic aberration by the subsequent lens group. The condition (7) is a condition for defining the air space on the optical axis between the second lens unit and the third lens unit, and if the condition is exceeded, it becomes impossible to maintain chromatic aberration of magnification, aperture efficiency, and image plane performance.
【００１５】周辺光量を充分確保するためには、軸外光
束に対するスクリーン側の瞳位置を第１レンズ群により
接近させる必要があるが、そのためには、第１レンズ群
の周辺部のパワーが負となることが好ましい。条件
（８）は、第１レンズ群の軸外光束に対する屈折力を規
定する条件であり、この条件を越えると、スクリーン側
の瞳位置が第１レンズ群より離れることにより、充分な
周辺光量を確保するためには、第１レンズ群の有効径を
大きくする必要が生じる。In order to secure a sufficient amount of peripheral light, it is necessary to bring the pupil position on the screen side with respect to the off-axis light beam closer to the first lens group. For that purpose, the power of the peripheral portion of the first lens group is negative. It is preferable that The condition (8) is a condition that regulates the refractive power of the first lens group with respect to the off-axis light flux. Above this condition, the pupil position on the screen side moves away from the first lens group, so that a sufficient amount of peripheral light is obtained. In order to secure it, it is necessary to increase the effective diameter of the first lens group.
【００１６】条件（９）は、第２レンズ群の正レンズの
合成焦点距離と負レンズの焦点距離の関係を規定するも
のであり、第２レンズ群として色収差を補正過剰として
いる。上限を越えると、第３レンズ群の色収差の補正量
が増えて第３レンズ群の正レンズのパワーが上昇しコマ
収差を補正できなくなる。下限を越えると第３レンズ群
の色収差補正量が減少し倍率の色収差が補正できなくな
る。条件（１０）は、第３レンズ群の正レンズの合成焦
点距離と負レンズの焦点距離の関係を規定するものであ
り、第３レンズ群として色収差を補正不足としている。
条件（１１）は、第２レンズ群の色収差補正量と第３レ
ンズ群の色収差補正量の関係を規定するものであり、条
件を越えると倍率の色収差の補正が困難となる。The condition (9) defines the relationship between the combined focal length of the positive lens and the focal length of the negative lens of the second lens group, and the chromatic aberration is overcorrected in the second lens group. When the upper limit is exceeded, the correction amount of chromatic aberration of the third lens group increases, the power of the positive lens of the third lens group increases, and it becomes impossible to correct coma aberration. When the value goes below the lower limit, the amount of chromatic aberration correction of the third lens group decreases and chromatic aberration of magnification cannot be corrected. The condition (10) defines the relationship between the combined focal length of the positive lens and the focal length of the negative lens of the third lens group, and the chromatic aberration of the third lens group is insufficiently corrected.
The condition (11) defines the relationship between the chromatic aberration correction amount of the second lens unit and the chromatic aberration correction amount of the third lens unit. If the condition is exceeded, it becomes difficult to correct the chromatic aberration of magnification.
【００１７】条件（１２）は、第４レンズ群と第５レン
ズ群がプラスチックレンズで構成された場合の焦点距離
の関係を規定するもので、第４レンズ群は、温度変化に
よる焦点距離の変動を負パワーをもつ第５レンズ群と相
殺して、像面が移動することを抑える働きがある。条件
（１２）は、温度変化に対する像面の変動を適切に補正
するための第４レンズ群の焦点距離と第５レンズ群の焦
点距離との関係を規定するものであり、条件を越える
と、温度変化による像面の移動が大きくなり、ＣＲＴに
画像を表示した初期の状態とＣＲＴが加熱されて温度上
昇した状態で大きくフォーカスがずれることとなる。The condition (12) defines the relationship between the focal lengths when the fourth lens unit and the fifth lens unit are made of plastic lenses, and the fourth lens unit changes the focal length due to temperature change. Is offset with the fifth lens group having negative power, and has a function of suppressing the movement of the image plane. The condition (12) defines the relationship between the focal length of the fourth lens unit and the focal length of the fifth lens unit for appropriately correcting the fluctuation of the image plane due to the temperature change. The movement of the image plane due to the temperature change becomes large, and the focus is largely deviated in the initial state where an image is displayed on the CRT and the state where the CRT is heated and the temperature is increased.
【００１８】[0018]
【実施例】以下、本発明になる投写レンズの具体的な実
施例について図１を参照して説明する。ただし、実施例
中ｒiは、スクリーンから順に見た第ｉ面の曲率半径、
ｄiは第ｉ面から次の面までの軸上の面間隔、ｎi，νi
は、それぞれの第ｊレンズのｄ線における屈折率、アッ
ベ数である。Ｕ１は第１レンズ群、Ｕ２は第２レンズ
群、Ｕ３は第３レンズ群、Ｕ４は第４レンズ群、Ｕ５は
第５レンズ群を示す。EXAMPLES Specific examples of the projection lens according to the present invention will be described below with reference to FIG. However, in the embodiment, r i is the radius of curvature of the i-th surface seen from the screen in order,
di is the axial spacing from the i-th surface to the next surface, ni, νi
Is the refractive index and Abbe number at the d-line of each j-th lens. U1 is a first lens group, U2 is a second lens group, U3 is a third lens group, U4 is a fourth lens group, and U5 is a fifth lens group.
【００１９】非球面において、Ｓをレンズの光軸からの
開口の半径距離ｈの位置におけるレンズ頂点からの変位
量とするとOn the aspherical surface, let S be the amount of displacement from the lens apex at the position of the radial distance h of the aperture from the optical axis of the lens.
【００２０】[0020]
【数５】 (Equation 5)
【００２１】で示される。ａiは、ｉ次の非球面係数で
ある。本発明の実施例について図面を参照しながら説明
する。図１は本発明に係る投写レンズの第１の実施例に
基づく概略構成図、図２（ａ），（ｂ），（ｃ）は、実
施例に基づく球面収差、非点収差、歪曲収差を示す図で
ある。図２から明らかなように本発明によれば諸収差が
良好に補正されている。本実施例について、ＣＲＴのフ
ェースプレートの蛍光対面がスクリーン側に凹面として
おり、蛍光体の発光が効率よく投写レンズの瞳に入射す
るようなっており、周辺光量の向上を図っている。[0021] ai is an i-th order aspherical surface coefficient. Embodiments of the present invention will be described with reference to the drawings. FIG. 1 is a schematic configuration diagram of a projection lens according to a first embodiment of the present invention, and FIGS. 2A, 2B, and 2C show spherical aberration, astigmatism, and distortion aberration based on the embodiment. FIG. As is clear from FIG. 2, according to the present invention, various aberrations are well corrected. In this embodiment, the face of the CRT face plate facing the fluorescence is a concave surface on the screen side, so that the light emitted from the phosphor is efficiently incident on the pupil of the projection lens to improve the amount of peripheral light.
【００２２】図３に示す第２の実施例では、第２レンズ
群、第３レンズ群とも正レンズ１枚と負レンズ１枚ずつ
によって構成され全体で、７枚のレンズで構成されてい
る。図５で示す第３の実施例、図７で示す第４実施例で
は、ＣＲＴの蛍光体面が平面のフェースプレートを使用
した場合である。第４の実施例では、第２レンズ群をス
クリーン側から順に２枚の正レンズと１枚の負レンズで
構成している。第３レンズ群も２枚の正レンズと１枚の
負レンズで構成している。In the second embodiment shown in FIG. 3, each of the second lens group and the third lens group is composed of one positive lens and one negative lens, and in total is composed of seven lenses. The third embodiment shown in FIG. 5 and the fourth embodiment shown in FIG. 7 are cases in which a face plate having a flat phosphor surface of the CRT is used. In the fourth embodiment, the second lens group is composed of two positive lenses and one negative lens in order from the screen side. The third lens group is also composed of two positive lenses and one negative lens.
【００２３】図９で示す第５の実施例は、請求項１の各
条件を満たしているが、請求項２と請求項３の条件は満
足しない例である。第２レンズ群をスクリーン側から順
に１枚の正レンズと１枚の負レンズで構成している。第
３レンズ群は２枚の正レンズと１枚の負レンズで構成し
ている。The fifth embodiment shown in FIG. 9 is an example in which the conditions of claim 1 are satisfied, but the conditions of claims 2 and 3 are not satisfied. The second lens group is composed of one positive lens and one negative lens in order from the screen side. The third lens group is composed of two positive lenses and one negative lens.
【００２４】図１１で示す第６の実施例は、請求項１と
請求項２の各条件を満たしているが、請求項３の条件は
満足しない例である。第２レンズ群をスクリーン側から
順に２枚の正レンズと１枚の負レンズで構成している。
第３レンズ群も２枚の正レンズと１枚の負レンズで構成
している。軸上の色収差は収差図で明らかなように良く
補正されているが、請求項２の各条件が満たされている
ために倍率の色も良く補正される。第５の実施例では軸
上の色収差は補正されているが請求項２の条件を満たさ
ないため倍率の色収差は補正不足であった。The sixth embodiment shown in FIG. 11 is an example in which the conditions of claim 1 and claim 2 are satisfied, but the condition of claim 3 is not satisfied. The second lens group is composed of two positive lenses and one negative lens in order from the screen side.
The third lens group is also composed of two positive lenses and one negative lens. The axial chromatic aberration is well corrected as is apparent from the aberration diagram, but since the respective conditions of claim 2 are satisfied, the color of magnification is also well corrected. Although the axial chromatic aberration is corrected in the fifth embodiment, the chromatic aberration of magnification is insufficiently corrected because the condition of claim 2 is not satisfied.
【００２５】図１３で示す第７の実施例は、請求項１と
請求項３の各条件を満たしているが、請求項２の条件は
満足しない例である。第２レンズ群をスクリーン側から
順に１枚の正レンズと１枚の負レンズで構成している。
第３レンズ群は２枚の正レンズと１枚の負レンズで構成
している。一般に軸上光線高の低い像面近傍に置かれた
レンズの屈折率や形状の変化は全系に及ぼす影響は少な
い。よってビデオプロジェクター用の投写レンズではフ
ィールドフラットナーとして温度変化による屈折率変化
および形状変化を引き起こすプラスチックレンズが多用
されてきた。しかし軸外光線高は高く影響が大きい。ま
たＣＲＴからの熱で温度変化が一番大きい部分である。
本発明が提供するような高精細画像用のプロジェクター
において、ＣＲＴからの熱の温度変化によってフォーカ
スが変化すれば常時高精細画像を提供することが出来な
い。請求項３はフィールドフラットナーがプラスチック
で構成される場合の温度変化によるフォーカス移動を押
さえる条件である。ＣＲＴの発熱によってフィールドフ
ラットナーの温度が上昇する。フィールドフラットナー
直前のレンズも温度が上昇する。このレンズの温度変化
でフィールドフラットナーの温度変化の影響をキャンセ
ル出来ればよい。よってフィールドフラットナー直前の
レンズをプラスチックで構成することと請求項３の条件
を満たすことで温度変化によるフォーカス移動をキャン
セルできる。The seventh embodiment shown in FIG. 13 is an example in which the conditions of claim 1 and claim 3 are satisfied, but the condition of claim 2 is not satisfied. The second lens group is composed of one positive lens and one negative lens in order from the screen side.
The third lens group is composed of two positive lenses and one negative lens. In general, changes in the refractive index and shape of a lens placed near the image plane where the axial ray height is low have little effect on the entire system. Therefore, in a projection lens for a video projector, a plastic lens that causes a change in refractive index and a change in shape due to a temperature change has been frequently used as a field flattener. However, the off-axis ray height is high and has a large effect. In addition, this is the part where the temperature change is the greatest due to the heat from the CRT.
In the projector for high-definition images as provided by the present invention, if the focus changes due to the temperature change of heat from the CRT, it is not possible to always provide high-definition images. The third aspect is a condition for suppressing the focus movement due to the temperature change when the field flattener is made of plastic. The heat of the CRT raises the temperature of the field flattener. The temperature of the lens just before the field flatner also rises. It suffices if the influence of the temperature change of the field flattener can be canceled by the temperature change of this lens. Therefore, the focus movement due to the temperature change can be canceled by forming the lens just before the field flattener from plastic and satisfying the condition of claim 3.
【００２６】（実施例１） 面間の軸線 表面半径(mm) 方向距離(mm) Ｎｄ νｄ ｒ 1 ＝ 383.748 ｄ 1 ＝ 18.0 ｎ 1 ＝ 1.49178 ν 1 ＝57.2 ｒ 2 ＝ 460.791 ｄ 2 ＝ 30.0 ｒ 3 ＝ 375.909 ｄ 3 ＝ 28.0 ｎ 2 ＝ 1.58913 ν 2 ＝61.2 ｒ 4 ＝ -538.012 ｄ 4 ＝ 3.2 ｒ 5 ＝ 1516.069 ｄ 5 ＝ 8.5 ｎ 3 ＝ 1.71736 ν 4 ＝29.5 ｒ 6 ＝ 214.570 ｄ 6 ＝ 30.0 ｒ 7 ＝ 451.512 ｄ 7 ＝ 26.0 ｎ 4 ＝ 1.58913 ν 5 ＝61.2 ｒ 8 ＝ -640.085 ｄ 8 ＝ 2.2 ｒ 9 ＝ 201.659 ｄ 9 ＝ 37.0 ｎ 5 ＝ 1.70000 ν 6 ＝48.0 ｒ10 ＝ -389.122 ｄ10 ＝ 7.0 ｒ11 ＝ 2964.042 ｄ11 ＝ 8.5 ｎ 6 ＝ 1.72825 ν 7 ＝28.3 ｒ12 ＝ 167.689 ｄ12 ＝ 21.8 ｒ13 ＝ 869.446 ｄ13 ＝ 27.0 ｎ 7 ＝ 1.49178 ν 8 ＝57.2 ｒ14 ＝ -256.096 ｄ14 ＝ 91.0 ｒ15 ＝ -108.209 ｄ15 ＝ 5.5 ｎ 8 ＝ 1.49178 ν 9 ＝57.2 ｒ16 ＝ ∞ ｄ16 ＝ 18.0 ｎ 9 ＝ 1.43500 ν 8 ＝50.7 ｒ17 ＝ ∞ ｄ17 ＝ 20.0 ｎ10 ＝ 1.54040 ν10 ＝50.7 ｒ18 ＝-1000.000 （第１面の非球面係数） ａ 3 ＝ 4.06275×10-7 ａ 4 ＝ -6.78757×10-8 ａ 5 ＝ -9.11633×10-11 ａ 6 ＝ 1.35191×10-12 ａ 7 ＝ 6.61316×10-15 ａ 8 ＝ 2.08283×10-17 ａ 9 ＝ 0.0 ａ10 ＝ -1.85764×10-21 （第２面の非球面係数） ａ 3 ＝ 9.65133×10-8 ａ 4 ＝ 1.15166×10-10 ａ 5 ＝ -1.29652×10-11 ａ 6 ＝ 2.23531×10-12 ａ 7 ＝ 1.98604×10-15 ａ 8 ＝ 1.09387×10-16 ａ 9 ＝ 0.0 ａ10 ＝ 1.22730×10-21 （第１３面の非球面係数） ａ 3 ＝ -2.15048×10-6 ａ 4 ＝ 4.67397×10-8 ａ 5 ＝ -6.13710×10-10 ａ 6 ＝ -1.40978×10-12 ａ 7 ＝ 2.93108×10-14 ａ 8 ＝ -2.54276×10-16 ａ 9 ＝ 0.0 ａ10 ＝ -3.97383×10-20 （第１４面の非球面係数） ａ 3 ＝ -2.38734×10-7 ａ 4 ＝ -1.51141×10-8ａ 5 ＝ 5.30480×10-10 ａ 6 ＝ -8.13534×10-13 ａ 7 ＝ -3.98024×10-14 ａ 8 ＝ -2.59009×10-16 ａ 9 ＝ 0.0 ａ10 ＝ 1.65540×10-20 （第１５面の非球面係数） ａ 3 ＝ 0.0 ａ 4 ＝ 3.84332×10-8 ａ 5 ＝ 0.0 ａ 6 ＝ 9.70986×10-12 ａ 7 ＝ 0.0 ａ 8 ＝ -1.25661×10-15 ａ 9 ＝ 0.0 ａ10 ＝ 9.34025×10-20 f1/f0 = 21.038 f2/f0 = -51.45 f3/f0 = 1.22 f4/f0 = 1.97 f5/f0 = -1.533 d12/f0 = 0.19 d23/f0 = 0.13 ｆB1 = -2179.3 f2P/f2N = -1.09 f3P/f3N = -0.58 (f2P/f2N)/(f3P/f3N) = 1.89 f4 /f5 = -1.28 （実施例２） 面間の軸線 表面半径(mm) 方向距離(mm) Ｎｄ νｄ ｒ 1 ＝ 462.954 ｄ 1 ＝ 18.0 ｎ 1 ＝ 1.49178 ν 1 ＝57.2 ｒ 2 ＝ 748.513 ｄ 2 ＝ 38.0 ｒ 3 ＝ 274.419 ｄ 3 ＝ 40.0 ｎ 2 ＝ 1.58913 ν 2 ＝61.2 ｒ 4 ＝ -331.440 ｄ 4 ＝ 1.0 ｒ 5 ＝ 1756.430 ｄ 5 ＝ 8.5 ｎ 3 ＝ 1.71736 ν 3 ＝29.5 ｒ 6 ＝ 208.137 ｄ 6 ＝ 27.6 ｒ 7 ＝ 175.754 ｄ 7 ＝ 40.0 ｎ 4 ＝ 1.70000 ν 4 ＝48.0 ｒ 8 ＝ -375.440 ｄ 8 ＝ 7.0 ｒ 9 ＝-4971.378 ｄ 9 ＝ 8.5 ｎ 5 ＝ 1.72825 ν 5 ＝28.3 ｒ10 ＝ 233.833 ｄ10 ＝ 22.0 ｒ11 ＝ 361.173 ｄ11 ＝ 30.0 ｎ 6 ＝ 1.49178 ν 6 ＝57.2 ｒ12 ＝ -458.921 ｄ12 ＝ 86.1 ｒ13 ＝ -110.438 ｄ13 ＝ 5.5 ｎ 7 ＝ 1.49178 ν 7 ＝57.2 ｒ14 ＝ ∞ ｄ14 ＝ 18.0 ｎ 8 ＝ 1.43500 ν 8 ＝50.7 ｒ15 ＝ ∞ ｄ15 ＝ 20.0 ｎ 9 ＝ 1.54040 ν 9 ＝50.7 ｒ16 ＝-1000.000 （第１面の非球面係数） ａ 3 ＝ -6.61033×10-7 ａ 4 ＝ -4.94071×10-8 ａ 5 ＝ 1.73881×10-11 ａ 6 ＝ 1.34882×10-12 ａ 7 ＝ 8.00424×10-15 ａ 8 ＝ 4.30599×10-17 ａ 9 ＝ 0.0 ａ10 ＝ -9.17529×10-21 （第２面の非球面係数） ａ 3 ＝ 6.59364×10-7 ａ 4 ＝ -6.15586×10-9ａ 5 ＝ 1.22201×10-10 ａ 6 ＝ 4.42982×10-12 ａ 7 ＝ 3.94350×10-15 ａ 8 ＝ 8.43537×10-17 ａ 9 ＝ 0.0 ａ10 ＝ -8.75575×10-21 （第１１面の非球面係数） ａ 3 ＝ 1.43899×10-6 ａ 4 ＝ 3.23390×10-8 ａ 5 ＝ 2.30723×10-10 ａ 6 ＝ 2.27283×10-12 ａ 7 ＝ 7.77285×10-15 ａ 8 ＝ -6.41562×10-18 ａ 9 ＝ 0.0 ａ10 ＝ 2.97791×10-20 （第１２面の非球面係数） ａ 3 ＝ 3.39548×10-7 ａ 4 ＝ 8.64418×10-8 ａ 5 ＝ 6.70257×10-10 ａ 6 ＝ 9.87945×10-14 ａ 7 ＝ -1.30792×10-14 ａ 8 ＝ 2.40616×10-16 ａ 9 ＝ 0.0 ａ10 ＝ 9.73199×10-20 （第１３面の非球面係数） ａ 3 ＝ 0.0 ａ 4 ＝ -1.46709×10-7 ａ 5 ＝ 0.0 ａ 6 ＝ 3.13998×10-11 ａ 7 ＝ 0.0 ａ 8 ＝ -3.91041×10-15 ａ 9 ＝ 0.0 ａ10 ＝ 1.87704×10-19 f1/f0 = 12.24 f2/f0 = 4.93 f3/f0 = 1.77 f4/f0 = 2.11 f5/f0 = -1.63 d12/f0 = 0.19 d23/f0 = 0.14 ｆB1 = -2889.0 f2P/f2N = -0.80 f3P/f3N = -0.58 (f2P/f2N)/(f3P/f3N) = 1.36 f4 /f5 = -1.29 （実施例３） 面間の軸線 表面半径(mm) 方向距離(mm) Ｎｄ νｄ ｒ 1 ＝ 487.657 ｄ 1 ＝ 18.0 ｎ 1 ＝ 1.49178 ν 1 ＝57.2 ｒ 2 ＝ 486.818 ｄ 2 ＝ 38.0 ｒ 3 ＝ 369.330 ｄ 3 ＝ 38.0 ｎ 2 ＝ 1.58913 ν 2 ＝61.2 ｒ 4 ＝ -542.422 ｄ 4 ＝ 3.2 ｒ 5 ＝ 2000.900 ｄ 5 ＝ 8.5 ｎ 3 ＝ 1.71736 ν 4 ＝29.5 ｒ 6 ＝ 215.497 ｄ 6 ＝ 25.8 ｒ 7 ＝ 386.865 ｄ 7 ＝ 29.0 ｎ 4 ＝ 1.58913 ν 5 ＝61.2 ｒ 8 ＝ -386.865 ｄ 8 ＝ 2.2 ｒ 9 ＝ 199.359 ｄ 9 ＝ 37.0 ｎ 5 ＝ 1.70000 ν 6 ＝48.0 ｒ10 ＝ -439.680 ｄ10 ＝ 7.0 ｒ11 ＝ 2119.744 ｄ11 ＝ 8.5 ｎ 6 ＝ 1.72825 ν 7 ＝28.3 ｒ12 ＝ 170.007 ｄ12 ＝ 19.0 ｒ13 ＝ 1165.061 ｄ13 ＝ 30.0 ｎ 7 ＝ 1.49178 ν 8 ＝57.2 ｒ14 ＝ -486.647 ｄ14 ＝ 92.6 ｒ15 ＝ -101.531 ｄ15 ＝ 5.5 ｎ 8 ＝ 1.49178 ν 9 ＝57.2 ｒ16 ＝ ∞ ｄ16 ＝ 18.0 ｎ 9 ＝ 1.43500 ν 8 ＝50.7 ｒ17 ＝ ∞ ｄ17 ＝ 11.0 ｎ10 ＝ 1.54040 ν10 ＝50.7 ｒ18 ＝ ∞ （第１面の非球面係数） ａ 3 ＝ 4.91242×10-7 ａ 4 ＝ -5.65742×10-8 ａ 5 ＝ -1.70558×10-11 ａ 6 ＝ 3.96696×10-13 ａ 7 ＝ 6.43597×10-16 ａ 8 ＝ -1.70996×10-17 ａ 9 ＝ 0.0 ａ10 ＝ 3.14520×10-22 （第２面の非球面係数） ａ 3 ＝ 5.79312×10-7 ａ 4 ＝ 9.08520×10-9 ａ 5 ＝ -1.64739×10-11 ａ 6 ＝ 2.52950×10-12 ａ 7 ＝ -2.28065×10-15 ａ 8 ＝ -1.60954×10-17 ａ 9 ＝ 0.0 ａ10 ＝ 3.33745×10-21 （第１３面の非球面係数） ａ 3 ＝ 5.21708×10-7 ａ 4 ＝ 6.36707×10-8 ａ 5 ＝ 1.44645×10-10 ａ 6 ＝ 4.11463×10-12 ａ 7 ＝ 1.87937×10-14 ａ 8 ＝ -3.50366×10-17 ａ 9 ＝ 0.0 ａ10 ＝ -1.45768×10-20 （第１４面の非球面係数） ａ 3 ＝ -3.24893×10-8 ａ 4 ＝ 9.68941×10-8 ａ 5 ＝ 2.55324×10-10 ａ 6 ＝ 1.58963×10-12 ａ 7 ＝ 4.51870×10-15 ａ 8 ＝ 7.66114×10-16 ａ 9 ＝ 0.0 ａ10 ＝ -2.56543×10-20 （第１５面の非球面係数） ａ 3 ＝ 0.0 ａ 4 ＝ -3.36835×10-8 ａ 5 ＝ 0.0 ａ 6 ＝ 2.09031×10-11 ａ 7 ＝ 0.0 ａ 8 ＝ -2.45306×10-15 ａ 9 ＝ 0.0 ａ10 ＝ 1.46133×10-19 f1/f0 =466.34 f2/f0 = -32.05 f3/f0 = 1.02 f4/f0 = 3.47 f5/f0 = -1.46 d12/f0 = 0.19 d23/f0 = 0.13 ｆB1 = -1346.9 f2P/f2N = -1.13 f3P/f3N = -0.51 (f2P/f2N)/(f3P/f3N) = 2.20 f4 /f5 = -2.37 （実施例４） 面間の軸線 表面半径(mm) 方向距離(mm) Ｎｄ νｄ ｒ 1 ＝ 514.902 ｄ 1 ＝ 18.0 ｎ 1 ＝ 1.49178 ν 1 ＝57.2 ｒ 2 ＝ 450.596 ｄ 2 ＝ 38.0 ｒ 3 ＝ 359.808 ｄ 3 ＝ 22.0 ｎ 2 ＝ 1.58913 ν 2 ＝61.2 ｒ 4 ＝ ∞ ｄ 4 ＝ 2.0 ｒ 5 ＝14648.862 ｄ 5 ＝ 18.5 ｎ 3 ＝ 1.58913 ν 3 ＝61.2 ｒ 6 ＝ -704.699 ｄ 6 ＝ 1.0 ｒ 7 ＝ 792.365 ｄ 7 ＝ 8.5 ｎ 4 ＝ 1.71736 ν 4 ＝29.5 ｒ 8 ＝ 214.939 ｄ 8 ＝ 25.8 ｒ 9 ＝ 504.725 ｄ 9 ＝ 29.0 ｎ 5 ＝ 1.58913 ν 5 ＝61.2 ｒ10 ＝ -329.867 ｄ10 ＝ 2.2 ｒ11 ＝ 183.546 ｄ11 ＝ 37.0 ｎ 6 ＝ 1.58913 ν 6 ＝61.2 ｒ12 ＝ -398.536 ｄ12 ＝ 7.0 ｒ13 ＝ 892.611 ｄ13 ＝ 8.5 ｎ 7 ＝ 1.72825 ν 7 ＝28.3 ｒ14 ＝ 178.914 ｄ14 ＝ 19.0 ｒ15 ＝-7688.312 ｄ15 ＝ 30.0 ｎ 8 ＝ 1.49178 ν 8 ＝57.2 ｒ16 ＝ -427.374 ｄ16 ＝ 90.58 ｒ17 ＝ -97.862 ｄ17 ＝ 5.5 ｎ 9 ＝ 1.49178 ν 9 ＝57.2 ｒ18 ＝ ∞ ｄ18 ＝ 18.0 ｎ 8 ＝ 1.43500 ν 8 ＝50.7 ｒ19 ＝ ∞ ｄ19 ＝ 20.0 ｎ10 ＝ 1.54040 ν10 ＝50.7 ｒ20 ＝ ∞ （第１面の非球面係数） ａ 3 ＝ 4.42714×10-7 ａ 4 ＝ -5.51659×10-8 ａ 5 ＝ -3.17082×10-11 ａ 6 ＝ -3.90978×10-14 ａ 7 ＝ 5.93436×10-16 ａ 8 ＝ 6.73440×10-18 ａ 9 ＝ 0.0 ａ10 ＝ -4.91195×10-22 （第２面の非球面係数） ａ 3 ＝ 6.53716×10-7 ａ 4 ＝ 7.02068×10-9 ａ 5 ＝ -1.50990×10-11 ａ 6 ＝ 2.54830×10-12 ａ 7 ＝ -1.33764×10-15 ａ 8 ＝ -6.29949×10-17 ａ 9 ＝ 0.0 ａ10 ＝ 4.12431×10-21 （第１５面の非球面係数） ａ 3 ＝ 1.12409×10-7 ａ 4 ＝ 5.42728×10-8 ａ 5 ＝ -3.16569×10-11 ａ 6 ＝ 2.55458×10-12 ａ 7 ＝ 2.26652×10-14 ａ 8 ＝ 1.32388×10-16 ａ 9 ＝ 0.0 ａ10 ＝ -5.38260×10-20 （第１６面の非球面係数）ａ 3 ＝ -5.96892×10-7 ａ 4 ＝ 7.92853×10-8 ａ 5 ＝ 1.65590×10-11 ａ 6 ＝ 6.85925×10-13 ａ 7 ＝ 1.08541×10-14 ａ 8 ＝ 8.51906×10-16 ａ 9 ＝ 0.0 ａ10 ＝ -1.01319×10-19 （第１７面の非球面係数） ａ 3 ＝ 0.0 ａ 4 ＝ -9.99210×10-8 ａ 5 ＝ 0.0 ａ 6 ＝ 3.57904×10-11 ａ 7 ＝ 0.0 ａ 8 ＝ -3.59676×10-15 ａ 9 ＝ 0.0 ａ10 ＝ 1.63228×10-19 f1/f0 =40.14 f2/f0 = 24.21 f3/f0 = 1.02 f4/f0 = 4.56 f5/f0 = -1.42 d12/f0 = 0.19 d23/f0 = 0.13 ｆB1 = -1120.7 f2P/f2N = -0.98 f3P/f3N = -0.45 (f2P/f2N)/(f3P/f3N) = 2.19 f4 /f5 = ２.22 （実施例５） 面間の軸線 表面半径(mm) 方向距離(mm) Ｎｄ νｄ ｒ 1 ＝ 1032.483 ｄ 1 ＝ 18.0 ｎ 1 ＝ 1.49178 ν 1 ＝57.2 ｒ 2 ＝ 1269.140 ｄ 2 ＝ 33.8 ｒ 3 ＝ 227.763 ｄ 3 ＝ 28.0 ｎ 2 ＝ 1.58913 ν 2 ＝61.2 ｒ 4 ＝-5128.640 ｄ 4 ＝ 3.0 ｒ 5 ＝ 1603.055 ｄ 5 ＝ 8.5 ｎ 3 ＝ 1.75520 ν 4 ＝27.5 ｒ 6 ＝ 201.548 ｄ 6 ＝ 25.8 ｒ 7 ＝ 405.134 ｄ 7 ＝ 29.0 ｎ 4 ＝ 1.58913 ν 5 ＝61.2 ｒ 8 ＝ -405.133 ｄ 8 ＝ 2.2 ｒ 9 ＝ 270.962 ｄ 9 ＝ 37.0 ｎ 5 ＝ 1.69680 ν 6 ＝55.6 ｒ10 ＝ -329.624 ｄ10 ＝ 1.0 ｒ11 ＝ 1603.055 ｄ11 ＝ 8.5 ｎ 6 ＝ 1.64769 ν 7 ＝33.9 ｒ12 ＝ 206.465 ｄ12 ＝ 19.0 ｒ13 ＝ 182.469 ｄ13 ＝ 30.0 ｎ 7 ＝ 1.49178 ν 8 ＝57.2 ｒ14 ＝ -283.016 ｄ14 ＝ 99.4 ｒ15 ＝ -90.226 ｄ15 ＝ 5.5 ｎ 8 ＝ 1.49178 ν 9 ＝57.2 ｒ16 ＝ ∞ ｄ16 ＝ 18.0 ｎ 9 ＝ 1.43500 ν 8 ＝50.7 ｒ17 ＝ ∞ ｄ17 ＝ 11.0 ｎ10 ＝ 1.54040 ν10 ＝50.7 ｒ18 ＝ ∞ （第１面の非球面係数） ａ 3 ＝ -7.93779×10-6 ａ 4 ＝ 1.17322×10-8 ａ 5 ＝ -8.59960×10-11 ａ 6 ＝ 3.71141×10-12 ａ 7 ＝ -1.22663×10-14 ａ 8 ＝ -8.54443×10-17 ａ 9 ＝ 0.0ａ10 ＝ 1.13715×10-21 （第２面の非球面係数） ａ 3 ＝ -8.62985×10-6 ａ 4 ＝ 7.93979×10-8 ａ 5 ＝ 1.54342×10-10 ａ 6 ＝ 3.13120×10-12 ａ 7 ＝ -1.25531×10-16 ａ 8 ＝ -1.62841×10-16 ａ 9 ＝ 0.0 ａ10 ＝ 1.05044×10-20 （第１３面の非球面係数） ａ 3 ＝ -2.26277×10-6 ａ 4 ＝ 1.15461×10-7 ａ 5 ＝ 4.86158×10-10 ａ 6 ＝ -1.13659×10-11 ａ 7 ＝ 8.25629×10-14 ａ 8 ＝ -9.59040×10-17 ａ 9 ＝ 0.0 ａ10 ＝ 4.56851×10-20 （第１４面の非球面係数） ａ 3 ＝ -4.25350×10-7 ａ 4 ＝ 8.35712×10-8 ａ 5 ＝ 2.00841×10-9 ａ 6 ＝ -4.52178×10-11 ａ 7 ＝ 4.04860×10-13 ａ 8 ＝ 2.04221×10-16 ａ 9 ＝ 0.0 ａ10 ＝ -1.31668×10-19 （第１５面の非球面係数） ａ 3 ＝ -3.13945×10-5 ａ 4 ＝ 9.14236×10-7 ａ 5 ＝ 0.0 ａ 6 ＝ -1.81257×10-10 ａ 7 ＝ 0.0 ａ 8 ＝ 2.22565×10-14 ａ 9 ＝ 0.0 ａ10 ＝ -9.34183×10-19 f1/f0 = 55.5 f2/f0 =-14.00 f3/f0 = 1.02 f4/f0 = 4.83 f5/f0 = -1.34 d12/f0 = 0.17 d23/f0 = 0.13 ｆB1 = -1632.0 f2P/f2N = -1.22 f3P/f3N = -0.38 (f2P/f2N)/(f3P/f3N) = 3.19 f4 /f5 = -3.61 （実施例６） 面間の軸線 表面半径(mm) 方向距離(mm) Ｎｄ νｄ ｒ 1 ＝ 1129.518 ｄ 1 ＝ 18.0 ｎ 1 ＝ 1.49178 ν 1 ＝57.2 ｒ 2 ＝ 1085.714 ｄ 2 ＝ 38.0 ｒ 3 ＝ 402.850 ｄ 3 ＝ 22.0 ｎ 2 ＝ 1.58913 ν 2 ＝61.2 ｒ 4 ＝ ∞ ｄ 4 ＝ 2.0 ｒ 5 ＝ 818.858 ｄ 5 ＝ 18.5 ｎ 3 ＝ 1.58913 ν 3 ＝61.2 ｒ 6 ＝-1514.429 ｄ 6 ＝ 1.0 ｒ 7 ＝ 818.858 ｄ 7 ＝ 8.5 ｎ 4 ＝ 1.71736 ν 4 ＝29.5 ｒ 8 ＝ 190.319 ｄ 8 ＝ 25.8 ｒ 9 ＝ 380.429 ｄ 9 ＝ 29.0 ｎ 5 ＝ 1.58913 ν 5 ＝61.2 ｒ10 ＝ -380.429 ｄ10 ＝ 2.2 ｒ11 ＝ 208.289 ｄ11 ＝ 37.0 ｎ 6 ＝ 1.70000 ν 6 ＝48.0 ｒ12 ＝ -377.454 ｄ12 ＝ 1.0 ｒ13 ＝ 818.858 ｄ13 ＝ 8.5 ｎ 7 ＝ 1.72825 ν 7 ＝28.3 ｒ14 ＝ 154.027 ｄ14 ＝ 19.0 ｒ15 ＝ 177.376 ｄ15 ＝ 30.0 ｎ 8 ＝ 1.49178 ν 8 ＝57.2 ｒ16 ＝ 268.883 ｄ16 ＝ 94.64 ｒ17 ＝ -89.437 ｄ17 ＝ 5.5 ｎ 9 ＝ 1.49178 ν 9 ＝57.2 ｒ18 ＝ ∞ ｄ18 ＝ 18.0 ｎ 8 ＝ 1.43500 ν 8 ＝50.7 ｒ19 ＝ ∞ ｄ19 ＝ 11.0 ｎ10 ＝ 1.54040 ν10 ＝50.7 ｒ20 ＝ ∞ （第１面の非球面係数） ａ 3 ＝ 6.41959×10-7 ａ 4 ＝ -6.09255×10-8 ａ 5 ＝ -1.48342×10-10 ａ 6 ＝ 3.51110×10-12 ａ 7 ＝ -1.24154×10-14 ａ 8 ＝ -1.10966×10-17 ａ 9 ＝ 0.0 ａ10 ＝ -2.95310×10-22 （第２面の非球面係数） ａ 3 ＝ 5.87035×10-7 ａ 4 ＝ 3.10382×10-9 ａ 5 ＝ 1.03789×10-10 ａ 6 ＝ 3.13120×10-12 ａ 7 ＝ -1.25531×10-16 ａ 8 ＝ -1.62841×10-16 ａ 9 ＝ 0.0 ａ10 ＝ 1.05044×10-20 （第１５面の非球面係数） ａ 3 ＝ 7.26319×10-7 ａ 4 ＝ 5.78713×10-8 ａ 5 ＝ 7.12480×10-10 ａ 6 ＝ -1.13659×10-11 ａ 7 ＝ 8.25628×10-14 ａ 8 ＝ -9.59040×10-17 ａ 9 ＝ 0.0 ａ10 ＝ 4.56851×10-20 （第１６面の非球面係数） ａ 3 ＝ 9.16444×10-7 ａ 4 ＝ 6.53283×10-8 ａ 5 ＝ 1.13006×10-9 ａ 6 ＝ -2.55904×10-11 ａ 7 ＝ 2.45469×10-13 ａ 8 ＝ 4.12280×10-16 ａ 9 ＝ 0.0 ａ10 ＝ -8.65147×10-20 （第１７面の非球面係数） ａ 3 ＝ 0.0 ａ 4 ＝ 1.81673×10-7 ａ 5 ＝ 0.0 ａ 6 ＝ -7.12929×10-11 ａ 7 ＝ 0.0 ａ 8 ＝ 9.84234×10-15 ａ 9 ＝ 0.0ａ10 ＝ -2.83949×10-19 f1/f0 =-332.0 f2/f0 =-31.90 f3/f0 = 1.03 f4/f0 = 4.85 f5/f0 = -1.33 d12/f0 = 0.19 d23/f0 = 0.13 ｆB1 = -1238.8 f2P/f2N = -1.14 f3P/f3N = -0.49 (f2P/f2N)/(f3P/f3N) = 2.33 f4 /f5 = -3.66 （実施例７） 面間の軸線 表面半径(mm) 方向距離(mm) Ｎｄ νｄ ｒ 1 ＝ 322.531 ｄ 1 ＝ 18.0 ｎ 1 ＝ 1.49178 ν 1 ＝57.2 ｒ 2 ＝ 326.710 ｄ 2 ＝ 38.0 ｒ 3 ＝ 320.205 ｄ 3 ＝ 30.0 ｎ 2 ＝ 1.58913 ν 2 ＝61.2 ｒ 4 ＝ -657.968 ｄ 4 ＝ 7.5 ｒ 5 ＝ 2343.116 ｄ 5 ＝ 8.5 ｎ 3 ＝ 1.72825 ν 4 ＝28.3 ｒ 6 ＝ 339.001 ｄ 6 ＝ 25.8 ｒ 7 ＝ 409.947 ｄ 7 ＝ 29.0 ｎ 4 ＝ 1.58913 ν 5 ＝61.2 ｒ 8 ＝ -409.947 ｄ 8 ＝ 2.2 ｒ 9 ＝ 197.937 ｄ 9 ＝ 37.0 ｎ 5 ＝ 1.69680 ν 6 ＝55.6 ｒ10 ＝ -482.184 ｄ10 ＝ 2.2 ｒ11 ＝ 2343.116 ｄ11 ＝ 8.5 ｎ 6 ＝ 1.63980 ν 7 ＝34.6 ｒ12 ＝ 141.026 ｄ12 ＝ 19.0 ｒ13 ＝ 1236.002 ｄ13 ＝ 30.0 ｎ 7 ＝ 1.49178 ν 8 ＝57.2 ｒ14 ＝ -500.402 ｄ14 ＝ 80.81 ｒ15 ＝ -101.715 ｄ15 ＝ 7.15 ｎ 8 ＝ 1.49178 ν 9 ＝57.2 ｒ16 ＝ ∞ ｄ16 ＝ 18.0 ｎ 9 ＝ 1.43500 ν 8 ＝50.7 ｒ17 ＝ ∞ ｄ17 ＝ 11.0 ｎ10 ＝ 1.54040 ν10 ＝50.7 ｒ18 ＝ ∞ （第１面の非球面係数） ａ 3 ＝ -2.93279×10-6 ａ 4 ＝ -2.73007×10-8 ａ 5 ＝ -3.25914×10-11 ａ 6 ＝ 4.26848×10-13 ａ 7 ＝ 6.47923×10-16 ａ 8 ＝ 5.21043×10-18 ａ 9 ＝ 0.0 ａ10 ＝ -2.22506×10-21 （第２面の非球面係数） ａ 3 ＝ -2.60895×10-6 ａ 4 ＝ 2.88562×10-8 ａ 5 ＝ -2.70962×10-11 ａ 6 ＝ 3.02743×10-12 ａ 7 ＝ -2.14286×10-15 ａ 8 ＝ -1.30235×10-17 ａ 9 ＝ 0.0 ａ10 ＝ 4.08024×10-21 （第１３面の非球面係数） ａ 3 ＝ 1.01008×10-6 ａ 4 ＝ -3.45844×10-10 ａ 5 ＝ -2.16087×10-10 ａ 6 ＝ 1.05735×10-12 ａ 7 ＝ 1.12817×10-14 ａ 8 ＝ -1.84193×10-16 ａ 9 ＝ 0.0 ａ10 ＝ 1.98847×10-21 （第１４面の非球面係数） ａ 3 ＝ -1.22703×10-6 ａ 4 ＝ 6.80454×10-8 ａ 5 ＝ -7.23959×10-11 ａ 6 ＝ -9.30994×10-14 ａ 7 ＝ -1.13354×10-14 ａ 8 ＝ 3.90308×10-16 ａ 9 ＝ 0.0 ａ10 ＝ 5.98953×10-20 （第１５面の非球面係数） ａ 3 ＝ 1.63422×10-6 ａ 4 ＝ -1.44200×10-8 ａ 5 ＝ 0.0 ａ 6 ＝ 1.11931×10-11 ａ 7 ＝ 0.0 ａ 8 ＝ -2.04190×10-15 ａ 9 ＝ 0.0 ａ10 ＝ 2.78293×10-19 f1/f0 = 105.0 f2/f0 = 5.04 f3/f0 = 1.29 f4/f0 = 3.66 f5/f0 = -1.49 d12/f0 = 0.19 d23/f0 = 0.13 ｆB1 = -1565.2 f2P/f2N = -0.68 f3P/f3N = -0.62 (f2P/f2N)/(f3P/f3N) = 1.10 f4 /f5 = -2.45(Example 1) Axial line between surfaces Surface radius (mm) Direction distance (mm) Nd νd r 1 = 383.748 d 1 = 18.0 n 1 = 1.49178 ν 1 = 57.2 r 2 = 460.791 d 2 = 30.0 r 3 = 375.909 d3 = 28.0 n2 = 1.58913 ν2 = 61.2 r4 = -538.012 d4 = 3.2 r5 = 1516.069 d5 = 8.5 n3 = 1.71736 ν4 = 29.5 r6 = 214.570 d6 = 30.0 r7 = 451.512 d7 = 26.0 n4 = 1.58913 ν5 = 61.2 r8 = -640.085 d8 = 2.2 r9 = 201.659 d9 = 37.0 n5 = 1.70000 ν6 = 48.0 r10 = -389.122 d10 = 7.0 r11 = 2964.042 d11 8.5 n6 = 1.72825 ν7 = 28.3 r12 = 167.689 d12 = 21.8 r13 = 869.446 d13 = 27.0 n7 = 1.49178 ν8 = 57.2 r14 = -256.096 d14 = 91.0 r15 = -108.209 d15 = 5.549178 n8 57.2 r16 = ∞ d16 = 18.0 n9 = 1.43500 ν8 = 50.7 r17 = ∞ d17 = 20.0 n10 = 1.54040 ν10 = 50.7 r18 = -1000.000 (of the first surface Surface coefficients) a 3 = 4.06275 × 10 -7 a 4 = -6.78757 × 10 -8 a 5 = -9.11633 × 10 -11 a 6 = 1.35191 × 10 -12 a 7 = 6.61316 × 10 -15 a 8 = 2.08283 × 10 -17 a 9 = 0.0 a 10 = -1.85764 × 10 -21 (aspherical surface coefficient of the second surface) a 3 = 9.65133 × 10 -8 a 4 = 1.15166 × 10 -10 a 5 = -1.29652 × 10 -11 a 6 = 2.23531 × 10 -12 a 7 = 1.98604 × 10 -15 a 8 = 1.09387 × 10 -16 a 9 = 0.0 a 10 = 1.22730 × 10 -21 (aspherical surface coefficient of the 13th surface) a 3 = -2.15048 × 10 -6 a 4 = 4.67397 x 10 -8 a 5 = -6.137 10 x 10 -10 a 6 = -1.40978 x 10 -12 a 7 = 2.93108 x 10 -14 a 8 = -2.54276 x 10 -16 a 9 = 0.0 a 10 = -3.97383 × 10 -20 (aspherical coefficients of the 14th surface) a 3 = -2.38734 × 10 -7 a 4 = -1.51141 × 10 -8 a 5 = 5.30480 × 10 -10 a 6 = -8.13534 × 10 - 13 a 7 = -3.98024 × 10 -14 a 8 = -2.59009 × 10 -16 a 9 = 0.0 a10 = 1.65540 × 10 -20 ( aspherical coefficients of the 15th surface) a 3 = 0.0 a 4 = 3.84332 × 10 - 8 a 5 0.0 a 6 = 9.70986 × 10 -12 a 7 = 0.0 a 8 = -1.25661 × 10 -15 a 9 = 0.0 a10 = 9.34025 × 10 -20 f1 / f0 = 21.038 f2 / f0 = -51.45 f3 / f0 = 1.22 f4 / f0 = 1.97 f5 / f0 = -1.533 d12 / f0 = 0.19 d23 / f0 = 0.13 fB1 = -2179.3 f2P / f2N = -1.09 f3P / f3N = -0.58 (f2P / f2N) / (f3P / f3N) = 1.89 f4 / f5 = -1.28 (Example 2) Axial line between surfaces Surface radius (mm) Directional distance (mm) Nd νd r 1 = 462.954 d 1 = 18.0 n 1 = 1.49178 ν 1 = 57.2 r 2 = 748.513 d 2 = 38.0 r 3 = 274.419 d 3 = 40.0 n 2 = 1.58913 ν 2 = 61.2 r 4 = -331.440 d 4 = 1.0 r 5 = 1756.430 d 5 = 8.5 n 3 = 1.71736 ν 3 = 29.5 r 6 = 208.137 d 6 = 27.6 r 7 = 175.754 d7 = 40.0 n4 = 1.70000 ν4 = 48.0 r8 = -375.440 d8 = 7.0 r9 = -4971.378 d9 = 8.5 n5 = 1.72825 ν5 = 28.3 r10 = 233.833 d10 = 22.0 r11 = 361.361. d11 = 30.0 n6 = 1.49178 ν6 = 57.2 r12 = -458.921 d12 = 86.1 r13 = -110.438 d13 = 5.5 n 7 = 1.49178 ν 7 ＝ 57.2 r14 ＝ ∞ d14 ＝ 18.0 n 8 ＝ 1.43500 ν 8 ＝ 50.7 r15 ＝ ∞ d15 ＝ 20.0 n 9 ＝ 1.54040 ν 9 ＝ 50.7 r16 ＝ -1000.000 (aspherical coefficient of the first surface) a 3 = -6.61033 × 10 -7 a 4 = -4.94071 × 10 -8 a 5 = 1.73881 × 10 -11 a 6 = 1.34882 × 10 -12 a 7 = 8.00424 × 10 -15 a 8 = 4.30599 × 10 -17 a 9 = 0.0 a10 = -9.17529 × 10 -21 (aspherical surface coefficient of the second surface) a 3 = 6.59364 × 10 -7 a 4 = -6.15586 × 10 -9 a 5 = 1.22201 × 10 -10 a 6 = 4.42982 × 10 -12 a 7 = 3.94 350 x 10 -15 a 8 = 8.43537 x 10 -17 a 9 = 0.0 a 10 = -8.75575 x 10 -21 (aspherical surface coefficient of the 11th surface) a 3 = 1.43899 x 10 -6 a 4 = 3.23390 × 10 -8 a 5 = 2.30723 × 10 -10 a 6 = 2.27283 × 10 -12 a 7 = 7.77285 × 10 -15 a 8 = -6.41562 × 10 -18 a 9 = 0.0 a 10 = 2.97791 × 10 -20 (Aspherical surface coefficient of the 12th surface) a 3 = 3.39548 × 10 -7 a 4 = 8.64418 × 10 -8 a 5 = 6.70257 × 10 -10 a 6 = 9.87945 × 10 -1 4 a 7 = -1.30792 × 10 -14 a 8 = 2.40616 × 10 -16 a 9 = 0.0 a10 = 9.73199 × 10 -20 ( aspherical coefficients of the 13th surface) a 3 = 0.0 a 4 = -1.46709 × 10 - 7 a 5 = 0.0 a 6 = 3.13998 x 10 -11 a 7 = 0.0 a 8 = -3.91041 x 10 -15 a 9 = 0.0 a 10 = 1.87 704 x 10 -19 f1 / f0 = 12.24 f2 / f0 = 4.93 f3 / f0 = 1.77 f4 / f0 = 2.11 f5 / f0 = -1.63 d12 / f0 = 0.19 d23 / f0 = 0.14 fB1 = -2889.0 f2P / f2N = -0.80 f3P / f3N = -0.58 (f2P / f2N) / (f3P / f3N) = 1.36 f4 / f5 = -1.29 (Example 3) Axes between surfaces Surface radius (mm) Direction distance (mm) Nd νd r 1 = 487.657 d 1 = 18.0 n 1 = 1.49178 ν 1 = 57.2 r 2 = 486.818 d 2 = 38.0 r 3 = 369.330 d 3 = 38.0 n 2 = 1.58913 ν 2 = 61.2 r 4 = -542.422 d 4 = 3.2 r 5 = 2000.900 d 5 = 8.5 n 3 = 1.71736 ν 4 = 29.5 r 6 = 215.497 d 6 = 25.8 r7 = 386.865 d7 = 29.0 n4 = 1.58913 ν5 = 61.2 r8 = -386.865 d8 = 2.2 r9 = 199.359 d9 = 37.0 n5 = 1.70000 6 = 48.0 r10 = -439.680 d10 = 7.0 r11 = 2119.744 d11 = 8.5 n6 = 1.72825 ν7 = 28.3 r12 = 170.007 d12 = 19.0 r13 = 1165.061 d13 = 30.0 n7 = 1.49178 ν8 = 14-14 = 57.2 92.6 r15 = -101.531 d15 = 5.5 n8 = 1.49178 ν9 = 57.2 r16 = ∞ d16 = 18.0 n9 = 1.43500 ν8 = 50.7 r17 = ∞ d17 = 11.0 n10 = 1.54040 ν10 = 50.7 r1 = ∞ Aspherical coefficient) a 3 = 4.91242 × 10 -7 a 4 = -5.65742 × 10 -8 a 5 = -1.70558 × 10 -11 a 6 = 3.96696 × 10 -13 a 7 = 6.43597 × 10 -16 a 8 =- 1.70996 × 10 -17 a 9 = 0.0 a 10 = 3.14520 × 10 -22 (aspherical surface coefficient of the second surface) a 3 = 5.79312 × 10 -7 a 4 = 9.08520 × 10 -9 a 5 = -1.64739 × 10 -11 a 6 = 2.52950 × 10 -12 a 7 = -2.28065 × 10 -15 a 8 = -1.60954 × 10 -17 a 9 = 0.0 a 10 = 3.33745 × 10 -21 (aspherical surface coefficient of the 13th surface) a 3 = 5.21708 × 10 -7 a 4 = 6.36707 × 10 -8 a 5 = 1. 44645 x 10 -10 a 6 = 4.11463 x 10 -12 a 7 = 1.87937 x 10 -14 a 8 = -3.50366 x 10 -17 a 9 = 0.0 a 10 = -1.45768 x 10 -20 (Aspherical coefficient of the 14th surface) ) A 3 = -3.24893 x 10 -8 a 4 = 9.68941 x 10 -8 a 5 = 2.55324 x 10 -10 a 6 = 1.58963 x 10 -12 a 7 = 4.51870 x 10 -15 a 8 = 7.66114 x 10 -16 a9 = 0.0 a10 = -2.56543 × 10 -20 (aspherical surface coefficient of the fifteenth surface) a3 = 0.0 a4 = -3.36835 × 10 -8 a5 = 0.0 a6 = 2.09031 × 10 -11 a7 = 0.0 a8 = -2.45306 × 10 -15 a9 = 0.0 a10 = 1.46133 × 10 -19 f1 / f0 = 466.34 f2 / f0 = -32.05 f3 / f0 = 1.02 f4 / f0 = 3.47 f5 / f0 = -1.46 d12 / f0 = 0.19 d23 / f0 = 0.13 fB1 = -1346.9 f2P / f2N = -1.13 f3P / f3N = -0.51 (f2P / f2N) / (f3P / f3N) = 2.20 f4 / f5 = -2.37 (Example 4) Axis Surface radius (mm) Directional distance (mm) Nd νd r 1 = 514.902 d 1 = 18.0 n 1 = 1.49178 ν 1 = 57.2 r 2 = 450.596 d 2 = 38.0 r 3 = 359.808 d 3 = 22.0 n 2 = 1.58913 ν 2 = 61.2 r 4 = ∞ d4 = 2.0 r5 = 14648.862 d5 = 18.5 n3 = 1.58913 ν3 = 61.2 r6 = -704.699 d6 = 1.0 r7 = 792.365 d7 = 8.5 n4 = 1.71736 ν4 = 29.5 r8 = 214.939 d8 = 25.8 r9 = 504.725 d9 = 29.0 n5 = 1.58913 ν5 = 61.2 r10 = -329.867 d10 = 2.2 r11 = 183.546 d11 = 37.0 n6 = 1.58913 ν6 = 61.2 r12 = -398.536 d12 = 892.611 d13 = 8.5 n7 = 1.72825 ν7 = 28.3 r14 = 178.914 d14 = 19.0 r15 = -7688.312 d15 = 30.0 n8 = 1.49178 ν8 = 57.2 r16 = -427.374 d16 = 90.58 -9r17 = 17d = 1.49178 ν 9 ＝ 57.2 r18 ＝ ∞ d18 ＝ 18.0 n 8 ＝ 1.43500 ν 8 ＝ 50.7 r19 ＝ ∞ d19 ＝ 20.0 n10 ＝ 1.54040 ν10 ＝ 50.7 r20 ＝ ∞ (aspherical coefficient of the first surface) a 3 ＝ 4.42714 × 10 -7 a 4 = -5.51659 x 10 -8 a 5 = -3.17082 x 10 -11 a 6 = -3.90978 x 10 -14 a 7 = 5.93436 x 10 -16 a 8 = 6.73440 x 10 -18 a 9 = 0.0 a10 = -4.91195 × 10 -22 (aspherical coefficient of the second surface) a 3 = 6.53716 × 10 -7 a 4 = 7.02068 × 10 -9 a 5 = -1.50990 × 10 -11 a 6 = 2.54830 × 10 -12 a 7 = -1.33764 x 10 -15 a 8 = -6.29949 x 10 -17 a 9 = 0.0 a10 = 4.12431 x 10 -21 (aspherical surface coefficient of the 15th surface) a 3 = 1.12409 x 10 -7 a 4 = 5.42728 × 10 -8 a 5 = -3.16569 × 10 -11 a 6 = 2.55458 × 10 -12 a 7 = 2.26652 × 10 -14 a 8 = 1.32388 × 10 -16 a 9 = 0.0 a10 = -5.38260 × 10 - 20 (aspherical coefficients of the 16th surface) a 3 = -5.96892 × 10 -7 a 4 = 7.92853 × 10 -8 a 5 = 1.65590 × 10 -11 a 6 = 6.85925 × 10 -13 a 7 = 1.08541 × 10 - 14 a 8 = 8.51906 × 10 -16 a 9 = 0.0 a 10 = -1.013 19 × 10 -19 (aspherical surface coefficient of the 17th surface) a 3 = 0.0 a 4 = -9.99 210 × 10 -8 a 5 = 0.0 a 6 = 3.57904 x 10 -11 a 7 = 0.0 a 8 = -3.59676 x 10 -15 a 9 = 0.0 a10 = 1.63228 x 10 -19 f1 / f0 = 40.14 f2 / f0 = 24.21 f3 / f0 = 1.02 f4 / f0 = 4.56 f5 / f0 = -1.42 d12 / f0 = 0.19 d23 / f0 = 0.13 fB1 = -1120.7 f2P / f2N = -0.98 f3P / f3N = -0.45 (f2P / f2N) / (f3P / f3N) = 2.19 f4 / f5 = 2.22 (Example 5) Axes between surfaces Surface radius (mm) Directional distance (mm) Nd νd r 1 = 1032.483 d 1 = 18.0 n 1 = 1.49178 ν 1 = 57.2 r 2 = 1269.140 d 2 = 33.8 r 3 = 227.763 d 3 = 28.0 n 2 = 1.58913 ν 2 = 61.2 r 4 = -5128.640 d 4 = 3.0 r 5 = 1603.055 d 5 = 8.5 n 3 = 1.75520 ν 4 = 27.5 r 6 = 201.548 d 6 = 25.8 r 7 = 405.134 d 7 = 29.0 n 4 = 1.58913 ν 5 = 61.2 r 8 = -405.133 d 8 = 2.2 r 9 = 270.962 d 9 = 37.0 n 5 = 1.69680 ν 6 = 55.6 r 10 = -329.624 d 10 = 1.0 r 11 = 1603.055 d 11 = 8.5 n 6 = 1.64769 ν 7 33.9 r12 = 206.465 d12 = 19.0 r13 = 182.469 d13 = 30.0 n7 = 1.49178 ν8 = 57.2 r14 = -283.016 d14 = 99.4 r15 = -90.226 d15 = 5.5 n8 = 1.49178 ν9 = 57.2 ∞r16 9 = 1.43500 ν 8 = 50 .7 r17 = ∞ d17 = 11.0 n10 = 1.54040 ν10 = 50.7 r18 = ∞ (aspherical surface coefficient of the first surface) a 3 = -7.93779 x 10 -6 a 4 = 1.17322 x 10 -8 a 5 = -8.59960 x 10 -11 a 6 = 3.71141 x 10 -12 a 7 = -1.22663 x 10 -14 a 8 = -8.54443 x 10 -17 a 9 = 0.0 a 10 = 1.13715 x 10 -21 (aspherical surface coefficient of the second surface) a 3 = -8.62985 x 10 -6 a 4 = 7.93979 x 10 -8 a 5 = 1.54342 x 10 -10 a 6 = 3.13120 x 10 -12 a 7 = -1.25531 x 10 -16 a 8 = -1.62841 x 10 -16 a 9 = 0.0 a10 = 1.05044 × 10 -20 (aspherical surface coefficient of the 13th surface) a 3 = -2.26277 × 10 -6 a 4 = 1.15461 × 10 -7 a 5 = 4.86158 × 10 -10 a 6 = -1.13659 × 10 -11 a 7 = 8.25629 x 10 -14 a 8 = -9.59040 x 10 -17 a 9 = 0.0 a 10 = 4.56851 x 10 -20 (aspherical surface coefficient of 14th surface) a 3 = -4.25350 x 10 -7 a 4 = 8.35712 x 10 -8 a 5 = 2.00841 x 10 -9 a 6 = -4.52178 x 10 -11 a 7 = 4.04 860 x 10 -13 a 8 = 2.04221 x 10 -16 a 9 = 0.0 a 10 = -1.31668 x 1 0 -19 (aspherical surface coefficient of the 15th surface) a 3 = -3.13945 × 10 -5 a 4 = 9.14236 × 10 -7 a 5 = 0.0 a 6 = -1.81257 × 10 -10 a 7 = 0.0 a 8 = 2.22565 × 10 -14 a 9 = 0.0 a 10 = -9.34183 × 10 -19 f1 / f0 = 55.5 f2 / f0 = -14.00 f3 / f0 = 1.02 f4 / f0 = 4.83 f5 / f0 = -1.34 d12 / f0 = 0.17 d23 / f0 = 0.13 fB1 = -1632.0 f2P / f2N = -1.22 f3P / f3N = -0.38 (f2P / f2N) / (f3P / f3N) = 3.19 f4 / f5 = -3.61 (Example 6) Axial surface radius between the surfaces ( mm) Directional distance (mm) Nd νd r 1 = 1129.518 d 1 = 18.0 n 1 = 1.49178 ν 1 ＝ 57.2 r 2 ＝ 1085.714 d 2 ＝ 38.0 r 3 ＝ 402.850 d 3 ＝ 22.0 n 2 ＝ 1.58913 ν 2 ＝ 61.2 r 4 = ∞ d 4 = 2.0 r 5 = 818.858 d 5 = 18.5 n 3 = 1.58913 ν 3 = 61.2 r 6 = -1514.429 d 6 = 1.0 r 7 = 818.858 d 7 = 8.5 n 4 = 1.71736 ν 4 = 29.5 r 8 = 190.319 d8 = 25.8 r9 = 380.429 d9 = 29.0 n5 = 1.58913 ν5 = 61.2 r10 = -380.429 d10 = 2.2 r11 = 208.289 d11 = 37.0 n 6 = 1.70000 ν6 = 48.0 r12 = -377.454 d12 = 1.0 r13 = 818.858 d13 = 8.5 n7 = 1.72825 ν7 = 28.3 r14 = 154.027 d14 = 19.0 r15 = 177.376 d15 = 30.0 n8 = 16 = 4949178 268.883 d16 = 94.64 r17 = -89.437 d17 = 5.5 n9 = 1.49178 ν9 = 57.2 r18 = ∞ d18 = 18.0 n8 = 1.43500 ν8 = 50.7 r19 = ∞ d19 = 11.0 n10 = 1.54040 ν10 = 1.54040 ν10 Aspherical coefficient of one surface) a 3 = 6.41959 × 10 -7 a 4 = -6.09255 × 10 -8 a 5 = -1.48342 × 10 -10 a 6 = 3.51110 × 10 -12 a 7 = -1.24154 × 10 -14 a8 = -1.10966 × 10 -17 a9 = 0.0 a10 = -2.95310 × 10 -22 (aspherical surface coefficient of the second surface) a3 = 5.87035 × 10 -7 a4 = 3.10382 × 10 -9 a5 = 1.03789 × 10 -10 a 6 = 3.13120 × 10 -12 a 7 = -1.25531 × 10 -16 a 8 = -1.62841 × 10 -16 a 9 = 0.0 a 10 = 1.05044 × 10 -20 (aspherical surface coefficient of the 15th surface) a 3 = 7.26319 × 10 -7 a 4 = 5.78713 × 10 - 8 a 5 = 7.12480 × 10 -10 a 6 = -1.13659 × 10 -11 a 7 = 8.25628 × 10 -14 a 8 = -9.59040 × 10 -17 a 9 = 0.0 a 10 = 4.56851 × 10 -20 (16th surface) A 3 = 9.16444 × 10 -7 a 4 = 6.53283 × 10 -8 a 5 = 1.13006 × 10 -9 a 6 = -2.55904 × 10 -11 a 7 = 2.45469 × 10 -13 a 8 = 4.12280 × 10 -16 a 9 = 0.0 a 10 = -8.65147 × 10 -20 (aspherical surface coefficient of the 17th surface) a 3 = 0.0 a 4 = 1.81673 × 10 -7 a 5 = 0.0 a 6 = -7.12929 × 10 -11 a7 = 0.0 a8 = 9.84234 x 10 -15 a9 = 0.0 a10 = -2.83949 x 10 -19 f1 / f0 = -332.0 f2 / f0 = -31.90 f3 / f0 = 1.03 f4 / f0 = 4.85 f5 / f0 = -1.33 d12 / f0 = 0.19 d23 / f0 = 0.13 fB1 = -1238.8 f2P / f2N = -1.14 f3P / f3N = -0.49 (f2P / f2N) / (f3P / f3N) = 2.33 f4 / f5 = -3.66 (Example) 7) Axes between surfaces Surface radius (mm) Direction distance (mm) Nd νd r 1 = 322.531 d 1 = 18.0 n 1 = 1.49178 ν 1 = 57.2 r 2 = 326.710 d 2 = 38.0 r 3 = 320.205 d 3 = 30.0 n 2 = 1.58913 ν 2 61.2 r4 = -657.968 d4 = 7.5 r5 = 2343.116 d5 = 8.5 n3 = 1.72825 ν4 = 28.3 r6 = 339.001 d6 = 25.8 r7 = 409.947 d7 = 29.0 n4 = 1.58913 ν5 = 61.2 r8 = -409.947 d8 = 2.2 r9 = 197.937 d9 = 37.0 n5 = 1.69680 ν6 = 55.6 r10 = −482.184 d10 = 2.2 r11 = 2343.116 d11 = 8.5 n6 = 1.63980 ν7 = 34.6d12 = 141.0 = 19.0 r13 = 1236.002 d13 = 30.0 n7 = 1.49178 ν8 = 57.2 r14 = -500.402 d14 = 80.81 r15 = -101.715 d15 = 7.15 n8 = 1.49178 ν9 = 57.2 r16 = ∞ d3 = 81.4 = 31.4 = 50.7 r17 = ∞ d17 = 11.0 n10 = 1.54040 ν10 = 50.7 r18 = ∞ (aspherical surface coefficient of the first surface) a 3 = -2.93279 x 10 -6 a 4 = -2.73007 x 10 -8 a 5 = -3.25914 x 10 -11 a 6 = 4.26848 × 10 -13 a 7 = 6.47923 × 10 -16 a 8 = 5.21043 × 10 -18 a 9 = 0.0 a 10 = -2.22506 × 10 -21 (aspherical surface coefficient of the second surface) a 3 -2.60895 × 10 -6 a 4 = 2.88562 × 10 -8 a 5 = -2.70962 × 10 -11 a 6 = 3.02743 × 10 -12 a 7 = -2.14286 × 10 -15 a 8 = -1.30235 × 10 -17 a 9 = 0.0 a10 = 4.08024 × 10 -21 (aspherical surface coefficient of the 13th surface) a 3 = 1.01008 × 10 -6 a 4 = -3.45844 × 10 -10 a 5 = -2.16087 × 10 -10 a 6 = 1.05735 × 10 -12 a 7 = 1.128 17 × 10 -14 a 8 = -1.84 193 × 10 -16 a 9 = 0.0 a 10 = 1.98847 × 10 -21 (aspherical coefficient of 14th surface) a 3 = -1.22703 × 10 -6 a 4 = 6.80454 x 10 -8 a 5 = -7.23959 x 10 -11 a 6 = -9.30994 x 10 -14 a 7 = -1.13354 x 10 -14 a 8 = 3.90308 x 10 -16 a 9 = 0.0 a 10 = 5.98953 x 10 -20 (aspherical surface coefficient of the 15th surface) a 3 = 1.63422 × 10 -6 a 4 = -1.44 200 × 10 -8 a 5 = 0.0 a 6 = 1.11931 × 10 -11 a 7 = 0.0 a 8 = -2.04190 × 10 -15 a 9 = 0.0 a 10 = 2.78293 × 10 -19 f1 / f0 = 105.0 f2 / f0 = 5.04 f3 / f0 = 1.29 f4 / f0 = 3.66 f5 / f0 = -1.49 d12 / f0 = 0.19 d23 / f0 = 0.13 fB1 = -1565.2 f2P / f2N = -0.68 f3P / f3N = -0.62 (f2P / f2N) / (f3P / f3N) = 1.10 f4 / f5 = -2.45
【００２７】[0027]
【発明の効果】本発明は、スクリーン側より順に非球面
を有する第１レンズ群、正レンズと負レンズよりなる第
２レンズ群、両凸の正レンズと負レンズよりなる第３レ
ンズ群、非球面を有する正レンズの第４レンズ群および
非球面を有する負の第５レンズ群により構成され、前記
の各諸条件を満足することにより、明るい高精細な投写
画像を得るのに適し、半画角が約３０度にもおよぶ広角
な投写レンズを提供するものである。According to the present invention, the first lens group having an aspherical surface in order from the screen side, the second lens group including a positive lens and a negative lens, the third lens group including a biconvex positive lens and a negative lens, It is composed of a positive fourth lens group having a spherical surface and a negative fifth lens group having an aspherical surface, and by satisfying each of the above conditions, it is suitable for obtaining a bright and high-definition projected image. A wide-angle projection lens having an angle of about 30 degrees is provided.
【図１】本発明の第１実施例の投写レンズの構成図FIG. 1 is a configuration diagram of a projection lens according to a first embodiment of the present invention.
【図２】本発明の第１実施例の投写レンズによる諸収差
図（ａ）は球面収差、（ｂ）は非点収差、（ｃ）は歪曲
収差,（ｄ）はメリディオナル方向の横収差を示す図FIG. 2 is a diagram showing various aberrations of the projection lens according to the first embodiment of the present invention, in which (a) is spherical aberration, (b) is astigmatism, (c) is distortion, and (d) is lateral aberration in the meridional direction. Figure
【図３】本発明の第２実施例の投写レンズの構成図FIG. 3 is a configuration diagram of a projection lens according to a second embodiment of the present invention.
【図４】本発明の第２実施例の投写レンズによる諸収差
図FIG. 4 is a diagram of various aberrations caused by the projection lens of the second example of the present invention.
【図５】本発明の第３実施例の投写レンズの構成図FIG. 5 is a configuration diagram of a projection lens according to a third embodiment of the present invention.
【図６】本発明の第３実施例の投写レンズによる諸収差
図FIG. 6 is a diagram of various types of aberration caused by the projection lens of the third example of the present invention.
【図７】本発明の第４実施例の投写レンズの構成図FIG. 7 is a configuration diagram of a projection lens of Example 4 of the present invention.
【図８】本発明の第４実施例の投写レンズによる諸収差
図FIG. 8 is a diagram of various types of aberration caused by the projection lens of the fourth example of the present invention.
【図９】本発明の第５実施例の投写レンズの構成図FIG. 9 is a configuration diagram of a projection lens of Example 5 of the present invention.
【図１０】本発明の第５実施例の投写レンズによる諸収
差図FIG. 10 is a diagram of various types of aberration caused by the projection lens of the fifth example of the present invention.
【図１１】本発明の第６実施例の投写レンズの構成図FIG. 11 is a configuration diagram of a projection lens of Example 6 of the present invention.
【図１２】本発明の第６実施例の投写レンズによる諸収
差図FIG. 12 is a diagram of various types of aberration caused by the projection lens of the sixth example of the present invention.
【図１３】本発明の第７実施例の投写レンズの構成図FIG. 13 is a configuration diagram of a projection lens of Example 7 of the present invention.
【図１４】本発明の第７実施例の投写レンズによる諸収
差図 （ａ）は球面収差、（ｂ）は非点収差、（ｃ）は歪曲収
差,（ｄ）はメリディオナル方向の横収差を示す図 球面収差図において、実線はｅ線、１点鎖線はｇ線に対
する収差を示し、非点収差図において、実線は、サジタ
ル収差（Ｓ）方向、波線はメリディオナル（Ｍ）方向の
収差、横収差図において実線はｅ線、鎖線はｇ線に対す
る収差を示す。FIG. 14 is a diagram of various aberrations caused by the projection lens of the seventh example of the present invention, where (a) is spherical aberration, (b) is astigmatism, (c) is distortion, and (d) is lateral aberration in the meridional direction. In the spherical aberration diagram, the solid line shows the aberration for the e-line and the dashed-dotted line shows the aberration for the g-line, and in the astigmatism diagram, the solid line shows the sagittal aberration (S) direction, and the broken line shows the aberration in the meridional (M) direction. In the aberration diagram, the solid line shows the aberration for the e-line and the chain line shows the aberration for the g-line.
Ｕ１ 第１レンズ群 Ｕ２ 第２レンズ群 Ｕ３ 第３レンズ群 Ｕ４ 第４レンズ群 Ｕ５ 第５レンズ群 Ｓ 透明媒体 Ｐ ＣＲＴのフェースプレート U1 First lens group U2 Second lens group U3 Third lens group U4 Fourth lens group U5 Fifth lens group S Transparent medium P CRT face plate
Claims (7)
１レンズ群、正レンズと負レンズよりなる第２レンズ
群、両凸の正レンズと負レンズよりなる第３レンズ群、
非球面を有する正レンズの第４レンズ群および非球面を
有する負の第５レンズ群からなり、下記の各条件を満た
すことを特徴とする投写レンズ。 (1) ｜f1/f0｜＞ 12 (2) ｜f2/f0｜＞ 4.8 (3) 1.0 ＜ f3/f0 ＜ 1.8 (4) 1.9＜ f4/f0 ＜ 5 (5) -1.9 ＜ f5/f0 ＜ -1.2 (6) d12/f0 ＜ 0.2 (7) 0.12 ＜ d23/f0 ＜ 0.16 (8) ｆB1 ≦ 0 ただし、 f0 :投写レンズ全系の焦点距離 f1 :第１レンズ群の焦点距離 f2 :第２レンズ群の焦点距離 f3 :第３レンズ群の焦点距離 f4 :第４レンズ群の焦点距離 f5 :第５レンズ群の焦点距離 d12 :第１レンズ群と第２レンズ群の光軸上の空気間隔 d23 :第２レンズ群と第３レンズ群の光軸上の空気間隔 ｆB1 :第１レンズ群における非球面形状を有効径内で、
球面にベストフィットし、その球面の曲率を用いて計算
した第１レンズの焦点距離1. A first lens group having an aspherical surface in order from the screen side, a second lens group including a positive lens and a negative lens, a third lens group including a biconvex positive lens and a negative lens,
A projection lens comprising a positive fourth lens group having an aspherical surface and a negative fifth lens group having an aspherical surface, and satisfying the following respective conditions. (1) | f1 / f0 |> 12 (2) | f2 / f0 |> 4.8 (3) 1.0 <f3 / f0 <1.8 (4) 1.9 <f4 / f0 <5 (5) -1.9 <f5 / f0 < -1.2 (6) d12 / f0 <0.2 (7) 0.12 <d23 / f0 <0.16 (8) fB1 ≤ 0 where f0: focal length of the entire projection lens system f1: focal length of the first lens group f2: second Focal length of lens group f3: Focal length of third lens group f4: Focal length of fourth lens group f5: Focal length of fifth lens group d12: Air gap on optical axis between first lens group and second lens group d23: Air space on the optical axis between the second lens group and the third lens group fB1: The aspherical shape of the first lens group within the effective diameter,
The focal length of the first lens that best fits the sphere and is calculated using the curvature of the sphere
第２レンズ群および第３レンズ群が下記の条件を満たす
焦点距離を有した正レンズおよび負レンズで構成された
ことを特徴とする投写レンズ。 (9) -1.2 ＜ f2P/f2N ＜ -0.7 (10) -0.6 ＜ f3P/f3N ＜ -0.4 (11) 1.3 ＜ (f2P/f2N)/(f3P/f3N) ＜ 2.4 ただし、 f2P :第２レンズ群の正レンズの合成した焦点距離 f2N :第２レンズ群の負レンズの焦点距離 f3P :第３レンズ群の正レンズの合成した焦点距離 f3N :第３レンズ群の負レンズの焦点距離2. The projection lens according to claim 1, wherein
A projection lens, wherein the second lens group and the third lens group are composed of a positive lens and a negative lens having focal lengths satisfying the following conditions. (9) -1.2 <f2P / f2N <-0.7 (10) -0.6 <f3P / f3N <-0.4 (11) 1.3 <(f2P / f2N) / (f3P / f3N) <2.4 However, f2P: Second lens group F2N: Focal length of negative lens of second lens group f3N: Focal length of positive lens of third lens group f3N: Focal length of negative lens of third lens group
第４レンズ群および第５レンズ群が下記の条件を満たす
焦点距離を有したプラスチックレンズで構成されたこと
を特徴とする投写レンズ。 (12) -3.5 ＜ f4 /f5 ＜ -0.7 ただし、 ｆ4 :第４レンズ群の焦点距離 ｆ5 :第５レンズ群の焦点距離3. The projection lens according to claim 1, wherein:
A projection lens, wherein the fourth lens group and the fifth lens group are composed of plastic lenses having focal lengths that satisfy the following conditions. (12) -3.5 <f4 / f5 <-0.7 where f4: focal length of 4th lens group f5: focal length of 5th lens group
ＥＦＬが203mm,口径比が1:1.1で、以下に示す諸元の投
写レンズ。 面間の軸線 表面半径(mm) 方向距離(mm) Ｎｄ νｄ ｒ 1 ＝ 383.748 ｄ 1 ＝ 18.0 ｎ 1 ＝ 1.49178 ν 1 ＝57.2 ｒ 2 ＝ 460.791 ｄ 2 ＝ 30.0 ｒ 3 ＝ 375.909 ｄ 3 ＝ 28.0 ｎ 2 ＝ 1.58913 ν 2 ＝61.2 ｒ 4 ＝ -538.012 ｄ 4 ＝ 3.2 ｒ 5 ＝ 1516.069 ｄ 5 ＝ 8.5 ｎ 3 ＝ 1.71736 ν 4 ＝29.5 ｒ 6 ＝ 214.570 ｄ 6 ＝ 30.0 ｒ 7 ＝ 451.512 ｄ 7 ＝ 26.0 ｎ 4 ＝ 1.58913 ν 5 ＝61.2 ｒ 8 ＝ -640.085 ｄ 8 ＝ 2.2 ｒ 9 ＝ 201.659 ｄ 9 ＝ 37.0 ｎ 5 ＝ 1.70000 ν 6 ＝48.0 ｒ10 ＝ -389.122 ｄ10 ＝ 7.0 ｒ11 ＝ 2964.042 ｄ11 ＝ 8.5 ｎ 6 ＝ 1.72825 ν 7 ＝28.3 ｒ12 ＝ 167.689 ｄ12 ＝ 21.8 ｒ13 ＝ 869.446 ｄ13 ＝ 27.0 ｎ 7 ＝ 1.49178 ν 8 ＝57.2 ｒ14 ＝ -256.096 ｄ14 ＝ 91.0 ｒ15 ＝ -108.209 ｄ15 ＝ 5.5 ｎ 8 ＝ 1.49178 ν 9 ＝57.2 ｒ16 ＝ ∞ ｄ16 ＝ 18.0 ｎ 9 ＝ 1.43500 ν 8 ＝50.7 ｒ17 ＝ ∞ ｄ17 ＝ 20.0 ｎ10 ＝ 1.54040 ν10 ＝50.7 ｒ18 ＝-1000.000 （第１面の非球面係数） ａ 3 ＝ 4.06275×10-7 ａ 4 ＝ -6.78757×10-8 ａ 5 ＝ -9.11633×10-11 ａ 6 ＝ 1.35191×10-12 ａ 7 ＝ 6.61316×10-15 ａ 8 ＝ 2.08283×10-17 ａ 9 ＝ 0.0 ａ10 ＝ -1.85764×10-21 （第２面の非球面係数） ａ 3 ＝ 9.65133×10-8 ａ 4 ＝ 1.15166×10-10 ａ 5 ＝ -1.29652×10-11 ａ 6 ＝ 2.23531×10-12 ａ 7 ＝ 1.98604×10-15 ａ 8 ＝ 1.09387×10-16 ａ 9 ＝ 0.0 ａ10 ＝ 1.22730×10-21 （第１３面の非球面係数） ａ 3 ＝ -2.15048×10-6 ａ 4 ＝ 4.67397×10-8 ａ 5 ＝ -6.13710×10-10 ａ 6 ＝ -1.40978×10-12 ａ 7 ＝ 2.93108×10-14 ａ 8 ＝ -2.54276×10-16 ａ 9 ＝ 0.0 ａ10 ＝ -3.97383×10-20 （第１４面の非球面係数） ａ 3 ＝ -2.38734×10-7 ａ 4 ＝ -1.51141×10-8 ａ 5 ＝ 5.30480×10-10 ａ 6 ＝ -8.13534×10-13 ａ 7 ＝ -3.98024×10-14 ａ 8 ＝ -2.59009×10-16 ａ 9 ＝ 0.0 ａ10 ＝ 1.65540×10-20 （第１５面の非球面係数） ａ 3 ＝ 0.0 ａ 4 ＝ 3.84332×10-8 ａ 5 ＝ 0.0 ａ 6 ＝ 9.70986×10-12 ａ 7 ＝ 0.0 ａ 8 ＝ -1.25661×10-15 ａ 9 ＝ 0.0 ａ10 ＝ 9.34025×10-20 ｄ12／ｆ0＝0.15 ｆB1＝-15281.6 ここでＮｄはレンズ素子の屈折率、νｄはアッベ数、ｒ
１からｒ１８は順次のレンズ面で正は右からたてた半径
を、負は左からたてた半径をそれぞれ示す。ｒ１，ｒ
２，ｒ１３，ｒ１４，ｒ１５は,Ｓを光軸からの開口の
半径距離ｈの位置におけるレンズ頂点からの変位量、ａ
３からａ１０までを定数としたとき、 【数１】 で示される非球面のレンズ面である。4. The projection lens according to claim 1, wherein
A projection lens with an EFL of 203 mm and an aperture ratio of 1: 1.1, with the following specifications. Axes between surfaces Surface radius (mm) Directional distance (mm) Nd νd r 1 = 383.748 d 1 = 18.0 n 1 = 1.49178 ν 1 = 57.2 r 2 = 460.791 d 2 = 30.0 r 3 = 375.909 d 3 = 28.0 n 2 = 1.58913 ν 2 = 61.2 r 4 = -538.012 d 4 = 3.2 r 5 = 1516.069 d 5 = 8.5 n 3 = 1.71736 ν 4 = 29.5 r 6 = 214.570 d 6 = 30.0 r 7 = 451.512 d 7 = 26.0 n 4 = 1.58913 ν 5 = 61.2 r 8 = -640.085 d 8 = 2.2 r 9 = 201.659 d 9 = 37.0 n 5 = 1.70000 ν 6 = 48.0 r 10 = -389.122 d 10 = 7.0 r 11 = 2964.042 d 11 = 8.5 n 6 = 1.72825 ν 7 28.3 r12 = 167.689 d12 = 21.8 r13 = 869.446 d13 = 27.0 n7 = 1.49178 ν8 = 57.2 r14 = -256.096 d14 = 91.0 r15 = -108.209 d15 = 5.5 n8 = 1.49178 ν9 = 57.2 1/8 9 = 1.43500 ν 8 = 50.7 r17 = ∞ d17 = 20.0 n10 = 1.54040 ν10 = 50.7 r18 = -1000.000 (aspherical surface coefficient of the first surface) a 3 = 4.06275 × 1 0 -7 a 4 = -6.78757 x 10 -8 a 5 = -9.11633 x 10 -11 a 6 = 1.35191 x 10 -12 a 7 = 6.61316 x 10 -15 a 8 = 2.08283 x 10 -17 a 9 = 0.0 a10 = -1.85764 x 10 -21 (aspherical surface coefficient of the second surface) a 3 = 9.65133 x 10 -8 a 4 = 1.15166 x 10 -10 a 5 = -1.29652 x 10 -11 a 6 = 2.23531 x 10 -12 a 7 = 1.98604 × 10 -15 a 8 = 1.09387 × 10 -16 a 9 = 0.0 a10 = 1.22730 × 10 -21 (aspherical surface coefficient of the 13th surface) a 3 = -2.15048 × 10 -6 a 4 = 4.67397 × 10 -8 a 5 = -6.13710 x 10 -10 a 6 = -1.40978 x 10 -12 a 7 = 2.93108 x 10 -14 a 8 = -2.54276 x 10 -16 a 9 = 0.0 a 10 = -3.97383 x 10 -20 ( Aspherical coefficient of the 14th surface) a3 = -2.38734 x 10 -7 a 4 = -1.51141 x 10 -8 a 5 = 5.30480 x 10 -10 a 6 = -8.13534 x 10 -13 a 7 = -3.98024 x 10 -14 a 8 = -2.59009 x 10 -16 a 9 = 0.0 a 10 = 1.65540 x 10 -20 (aspherical surface coefficient of the 15th surface) a 3 = 0.0 a 4 = 3.84332 x 10 -8 a 5 = 0.0 a 6 = 9.70986 x 10 -12 a 7 = 0.0 a8 = -1.25661 × 10 -15 a9 = 0.0 a10 = 9.34025 × 10 -20 d12 / f0 = 0.15 fB1 = -15281.6 where Nd is the refractive index of the lens element, νd is the Abbe number, and r
Reference numerals 1 to r18 denote sequential lens surfaces, where positive is a radius from the right and negative is a radius from the left. r1, r
2, r13, r14, and r15 are displacement amounts from the lens vertex at the position of the radial distance h of the aperture from the optical axis, a
When 3 to a10 are constants, Is an aspherical lens surface.
ＦＬが191mm,口径比が1:1.1で、以下に示す諸元の投写
レンズ。 面間の軸線 表面半径(mm) 方向距離(mm) Ｎｄ νｄ ｒ 1 ＝ 462.954 ｄ 1 ＝ 18.0 ｎ 1 ＝ 1.49178 ν 1 ＝57.2 ｒ 2 ＝ 748.513 ｄ 2 ＝ 38.0 ｒ 3 ＝ 274.419 ｄ 3 ＝ 40.0 ｎ 2 ＝ 1.58913 ν 2 ＝61.2 ｒ 4 ＝ -331.440 ｄ 4 ＝ 1.0 ｒ 5 ＝ 1756.430 ｄ 5 ＝ 8.5 ｎ 3 ＝ 1.71736 ν 3 ＝29.5 ｒ 6 ＝ 208.137 ｄ 6 ＝ 27.6 ｒ 7 ＝ 175.754 ｄ 7 ＝ 40.0 ｎ 4 ＝ 1.70000 ν 4 ＝48.0 ｒ 8 ＝ -375.440 ｄ 8 ＝ 7.0 ｒ 9 ＝-4971.378 ｄ 9 ＝ 8.5 ｎ 5 ＝ 1.72825 ν 5 ＝28.3 ｒ10 ＝ 233.833 ｄ10 ＝ 22.0 ｒ11 ＝ 361.173 ｄ11 ＝ 30.0 ｎ 6 ＝ 1.49178 ν 6 ＝57.2 ｒ12 ＝ -458.921 ｄ12 ＝ 86.1 ｒ13 ＝ -110.438 ｄ13 ＝ 5.5 ｎ 7 ＝ 1.49178 ν 7 ＝57.2 ｒ14 ＝ ∞ ｄ14 ＝ 18.0 ｎ 8 ＝ 1.43500 ν 8 ＝50.7 ｒ15 ＝ ∞ ｄ15 ＝ 20.0 ｎ 9 ＝ 1.54040 ν 9 ＝50.7 ｒ16 ＝-1000.000 （第１面の非球面係数） ａ 3 ＝ -6.61033×10-7 ａ 4 ＝ -4.94071×10-8 ａ 5 ＝ 1.73881×10-11 ａ 6 ＝ 1.34882×10-12 ａ 7 ＝ 8.00424×10-15 ａ 8 ＝ 4.30599×10-17 ａ 9 ＝ 0.0 ａ10 ＝ -9.17529×10-21 （第２面の非球面係数） ａ 3 ＝ 6.59364×10-7 ａ 4 ＝ -6.15586×10-9 ａ 5 ＝ 1.22201×10-10 ａ 6 ＝ 4.42982×10-12 ａ 7 ＝ 3.94350×10-15 ａ 8 ＝ 8.43537×10-17 ａ 9 ＝ 0.0 ａ10 ＝ -8.75575×10-21 （第１１面の非球面係数） ａ 3 ＝ 1.43899×10-6 ａ 4 ＝ 3.23390×10-8 ａ 5 ＝ 2.30723×10-10 ａ 6 ＝ 2.27283×10-12 ａ 7 ＝ 7.77285×10-15 ａ 8 ＝ -6.41562×10-18 ａ 9 ＝ 0.0 ａ10 ＝ 2.97791×10-20 （第１２面の非球面係数） ａ 3 ＝ 3.39548×10-7 ａ 4 ＝ 8.64418×10-8 ａ 5 ＝ 6.70257×10-10 ａ 6 ＝ 9.87945×10-14ａ 7 ＝ -1.30792×10-14 ａ 8 ＝ 2.40616×10-16 ａ 9 ＝ 0.0 ａ10 ＝ 9.73199×10-20 （第１３面の非球面係数） ａ 3 ＝ 0.0 ａ 4 ＝ -1.46709×10-7 ａ 5 ＝ 0.0 ａ 6 ＝ 3.13998×10-11 ａ 7 ＝ 0.0 ａ 8 ＝ -3.91041×10-15 ａ 9 ＝ 0.0 ａ10 ＝ 1.87704×10-19 ｄ12／ｆ0＝0.193 ｆB1＝-5286.7 ここでＮｄはレンズ素子の屈折率、νｄはアッベ数、ｒ
１からｒ１８は順次のレンズ面で正は右からたてた半径
を、負は左からたてた半径をそれぞれ示す。ｒ１，ｒ
２，ｒ１３，ｒ１４，ｒ１５は,Ｓを光軸からの開口の
半径距離ｈの位置におけるレンズ頂点からの変位量、ａ
３からａ１０までを定数としたとき、 【数２】 で示される非球面のレンズ面である。5. The projection lens according to claim 1, wherein E
A projection lens with an FL of 191 mm and an aperture ratio of 1: 1.1 with the following specifications. Axes between surfaces Surface radius (mm) Directional distance (mm) Nd νd r 1 = 462.954 d 1 = 18.0 n 1 = 1.49178 ν 1 = 57.2 r 2 = 748.513 d 2 = 38.0 r 3 = 274.419 d 3 = 40.0 n 2 = 1.58913 ν 2 = 61.2 r 4 = -331.440 d 4 = 1.0 r 5 = 1756.430 d 5 = 8.5 n 3 = 1.71736 ν 3 = 29.5 r 6 = 208.137 d 6 = 27.6 r 7 = 175.754 d 7 = 40.0 n 4 = 1.70000 ν 4 = 48.0 r 8 = -375.440 d 8 = 7.0 r 9 = -4971.378 d 9 = 8.5 n 5 = 1.72825 ν 5 = 28.3 r 10 = 233.833 d 10 = 22.0 r 11 = 361.173 d 11 = 30.0 n 6 = 1.49178 ν 57.2 r12 = -458.921 d12 = 86.1 r13 = -110.438 d13 = 5.5 n7 = 1.49178 ν7 = 57.2 r14 = ∞ d14 = 18.0 n8 = 1.43500 ν8 = 50.7 r15 = ∞ d15 = 20.040 ν9 = 1.540 50.7 r16 = -1000.000 (aspherical surface coefficient of the first surface) a3 = -6.61033 × 10 -7 a 4 = -4.94071 × 10 -8 a 5 = 1.73881 × 10 -11 a 6 = 1.34882 × 10 -12 a 7 = 8.0 0424 × 10 -15 a 8 = 4.30599 × 10 -17 a 9 = 0.0 a10 = -9.17529 ( aspherical coefficients of the second surface) × 10 -21 a 3 = 6.59364 × 10 -7 a 4 = -6.15586 × 10 - 9 a 5 = 1.22201 x 10 -10 a 6 = 4.42982 x 10 -12 a 7 = 3.94350 x 10 -15 a 8 = 8.43537 x 10 -17 a 9 = 0.0 a 10 = -8.75575 x 10 -21 (11th surface) Aspherical coefficient) a 3 = 1.43899 × 10 -6 a 4 = 3.23390 × 10 -8 a 5 = 2.30723 × 10 -10 a 6 = 2.27283 × 10 -12 a 7 = 7.77285 × 10 -15 a 8 = -6.41562 × 10 -18 a 9 = 0.0 a 10 = 2.97791 × 10 -20 (aspherical surface coefficient of the 12th surface) a 3 = 3.39548 × 10 -7 a 4 = 8.64418 × 10 -8 a 5 = 6.70257 × 10 -10 a 6 = 9.87945 × 10 -14 a 7 = -1.30792 × 10 -14 a 8 = 2.40616 × 10 -16 a 9 = 0.0 a10 = 9.73199 × 10 -20 (aspherical surface coefficient of the 13th surface) a 3 = 0.0 a 4 =- 1.46709 × 10 -7 a 5 = 0.0 a 6 = 3.13998 × 10 -11 a 7 = 0.0 a 8 = -3.91041 × 10 -15 a 9 = 0.0 a10 = 1.87704 × 10 -19 d12 / f0 = 0.193 fB1 -5286.7 where Nd is the refractive index of the lens element, [nu] d is Abbe's number, r
Reference numerals 1 to r18 denote sequential lens surfaces, where positive is a radius from the right and negative is a radius from the left. r1, r
2, r13, r14, and r15 are displacement amounts from the lens vertex at the position of the radial distance h of the aperture from the optical axis, a
When 3 to a10 are constants, Is an aspherical lens surface.
ＥＦＬが202mm,口径比が1:1.1で、以下に示す諸元の投
写レンズ。 面間の軸線 表面半径(mm) 方向距離(mm) Ｎｄ νｄ ｒ 1 ＝ 487.657 ｄ 1 ＝ 18.0 ｎ 1 ＝ 1.49178 ν 1 ＝57.2 ｒ 2 ＝ 486.818 ｄ 2 ＝ 38.0 ｒ 3 ＝ 369.330 ｄ 3 ＝ 38.0 ｎ 2 ＝ 1.58913 ν 2 ＝61.2 ｒ 4 ＝ -542.422 ｄ 4 ＝ 3.2 ｒ 5 ＝ 2000.900 ｄ 5 ＝ 8.5 ｎ 3 ＝ 1.71736 ν 4 ＝29.5 ｒ 6 ＝ 215.497 ｄ 6 ＝ 25.8 ｒ 7 ＝ 386.865 ｄ 7 ＝ 29.0 ｎ 4 ＝ 1.58913 ν 5 ＝61.2 ｒ 8 ＝ -386.865 ｄ 8 ＝ 2.2 ｒ 9 ＝ 199.359 ｄ 9 ＝ 37.0 ｎ 5 ＝ 1.70000 ν 6 ＝48.0 ｒ10 ＝ -439.680 ｄ10 ＝ 7.0 ｒ11 ＝ 2119.744 ｄ11 ＝ 8.5 ｎ 6 ＝ 1.72825 ν 7 ＝28.3 ｒ12 ＝ 170.007 ｄ12 ＝ 19.0 ｒ13 ＝ 1165.061 ｄ13 ＝ 30.0 ｎ 7 ＝ 1.49178 ν 8 ＝57.2 ｒ14 ＝ -486.647 ｄ14 ＝ 92.6 ｒ15 ＝ -101.531 ｄ15 ＝ 5.5 ｎ 8 ＝ 1.49178 ν 9 ＝57.2 ｒ16 ＝ ∞ ｄ16 ＝ 18.0 ｎ 9 ＝ 1.43500 ν 8 ＝50.7 ｒ17 ＝ ∞ ｄ17 ＝ 11.0 ｎ10 ＝ 1.54040 ν10 ＝50.7 ｒ18 ＝ ∞ （第１面の非球面係数） ａ 3 ＝ 4.91242×10-7 ａ 4 ＝ -5.65742×10-8 ａ 5 ＝ -1.70558×10-11 ａ 6 ＝ 3.96696×10-13 ａ 7 ＝ 6.43597×10-16 ａ 8 ＝ -1.70996×10-17 ａ 9 ＝ 0.0 ａ10 ＝ 3.14520×10-22 （第２面の非球面係数） ａ 3 ＝ 5.79312×10-7 ａ 4 ＝ 9.08520×10-9 ａ 5 ＝ -1.64739×10-11 ａ 6 ＝ 2.52950×10-12 ａ 7 ＝ -2.28065×10-15 ａ 8 ＝ -1.60954×10-17 ａ 9 ＝ 0.0 ａ10 ＝ 3.33745×10-21 （第１３面の非球面係数） ａ 3 ＝ 5.21708×10-7 ａ 4 ＝ 6.36707×10-8 ａ 5 ＝ 1.44645×10-10 ａ 6 ＝ 4.11463×10-12 ａ 7 ＝ 1.87937×10-14 ａ 8 ＝ -3.50366×10-17 ａ 9 ＝ 0.0 ａ10 ＝ -1.45768×10-20 （第１４面の非球面係数） ａ 3 ＝ -3.24893×10-8 ａ 4 ＝ 9.68941×10-8 ａ 5 ＝ 2.55324×10-10 ａ 6 ＝ 1.58963×10-12 ａ 7 ＝ 4.51870×10-15 ａ 8 ＝ 7.66114×10-16 ａ 9 ＝ 0.0 ａ10 ＝ -2.56543×10-20 （第１５面の非球面係数） ａ 3 ＝ 0.0 ａ 4 ＝ -3.36835×10-8 ａ 5 ＝ 0.0 ａ 6 ＝ 2.09031×10-11ａ 7 ＝ 0.0 ａ 8 ＝ -2.45306×10-15 ａ 9 ＝ 0.0 ａ10 ＝ 1.46133×10-19 ｄ12／ｆ0＝0.19 ｆB1＝-2236.02 ここでＮｄはレンズ素子の屈折率、νｄはアッベ数、ｒ
１からｒ１８は順次のレンズ面で正は右からたてた半径
を、負は左からたてた半径をそれぞれ示す。ｒ１，ｒ
２，ｒ１３，ｒ１４，ｒ１５は,Ｓを光軸からの開口の
半径距離ｈの位置におけるレンズ頂点からの変位量、ａ
３からａ１０までを定数としたとき、 【数３】 で示される非球面のレンズ面である。6. The projection lens according to claim 1, wherein
A projection lens with an EFL of 202 mm and an aperture ratio of 1: 1.1, with the following specifications. Axial line between surfaces Surface radius (mm) Direction distance (mm) Nd νd r 1 = 487.657 d 1 = 18.0 n 1 = 1.49178 ν 1 = 57.2 r 2 = 486.818 d 2 = 38.0 r 3 = 369.330 d 3 = 38.0 n 2 = 1.58913 ν 2 = 61.2 r 4 = -542.422 d 4 = 3.2 r 5 = 2000.900 d 5 = 8.5 n 3 = 1.71736 ν 4 = 29.5 r 6 = 215.497 d 6 = 25.8 r 7 = 386.865 d 7 = 29.0 n 4 = 1.58913 ν 5 = 61.2 r 8 ＝ -386.865 d 8 ＝ 2.2 r 9 ＝ 199.359 d 9 ＝ 37.0 n 5 ＝ 1.70000 ν 6 ＝ 48.0 r10 ＝ －439.680 d10 ＝ 7.0 r11 ＝ 2119.744 d 11 ＝ 8.5 n 6 ＝ 1.72825 ν 7 28.3 r12 = 170.007 d12 = 19.0 r13 = 1165.061 d13 = 30.0 n7 = 1.49178 ν8 = 57.2 r14 = -486.647 d14 = 92.6 r15 = -101.531 d15 = 5.5 n8 = 1.49178 ν9 = 57.2 ∞r16 9 = 1.43500 ν 8 = 50.7 r17 = ∞ d17 = 11.0 n10 = 1.54040 ν10 = 50.7 r18 = ∞ (aspherical coefficient of the first surface) a 3 = 4.91242 × 10 -7 a 4 = -5.65742 x 10 -8 a 5 = -1.70558 x 10 -11 a 6 = 3.96696 x 10 -13 a 7 = 6.43597 x 10 -16 a 8 = -1.70996 x 10 -17 a 9 = 0.0 a10 = 3.14520 × 10 -22 (aspherical surface coefficient of the second surface) a 3 = 5.79312 × 10 -7 a 4 = 9.08520 × 10 -9 a 5 = -1.64739 × 10 -11 a 6 = 2.52950 × 10 -12 a 7 =- 2.28065 x 10 -15 a 8 = -1.60954 x 10 -17 a 9 = 0.0 a10 = 3.33745 x 10 -21 (aspherical surface coefficient of the 13th surface) a 3 = 5.21708 x 10 -7 a 4 = 6.36707 x 10 -8 a 5 = 1.44645 × 10 -10 a 6 ＝ 4.11463 × 10 -12 a 7 = 1.87937 × 10 -14 a 8 ＝ -3.50366 × 10 -17 a 9 ＝ 0.0 a10 ＝ -1.45768 × 10 -20 Aspherical coefficient) a 3 = -3.24893 × 10 -8 a 4 = 9.68941 × 10 -8 a 5 = 2.55324 × 10 -10 a 6 = 1.58963 × 10 -12 a 7 = 4.51870 × 10 -15 a 8 = 7.66114 × 10 −16 a 9 = 0.0 a 10 = −2.56543 × 10 −20 (aspherical surface coefficient of the 15th surface) a 3 = 0.0 a 4 = −3.36835 × 10 −8 a 5 = 0.0 a 6 = 2.09031 × 10 −11 a 7 = 0.0 a8 = -2.45306 × 10 -15 a9 = 0.0 a10 = 1.46133 × 10 -19 d12 / f0 = 0.19 fB1 = -2236.02 where Nd is the refractive index of the lens element, νd is the Abbe's number, r
Reference numerals 1 to r18 denote sequential lens surfaces, where positive is a radius from the right and negative is a radius from the left. r1, r
2, r13, r14, and r15 are displacement amounts from the lens vertex at the position of the radial distance h of the aperture from the optical axis, a
When 3 to a10 are constants, Is an aspherical lens surface.
ＥＦＬが201mm,口径比が1:1.1で、以下に示す諸元の投
写レンズ。 面間の軸線 表面半径(mm) 方向距離(mm) Ｎｄ νｄ ｒ 1 ＝ 514.902 ｄ 1 ＝ 18.0 ｎ 1 ＝ 1.49178 ν 1 ＝57.2 ｒ 2 ＝ 450.596 ｄ 2 ＝ 38.0 ｒ 3 ＝ 359.808 ｄ 3 ＝ 22.0 ｎ 2 ＝ 1.58913 ν 2 ＝61.2 ｒ 4 ＝ ∞ ｄ 4 ＝ 2.0 ｒ 5 ＝14648.862 ｄ 5 ＝ 18.5 ｎ 3 ＝ 1.58913 ν 3 ＝61.2 ｒ 6 ＝ -704.699 ｄ 6 ＝ 1.0 ｒ 7 ＝ 792.365 ｄ 7 ＝ 8.5 ｎ 4 ＝ 1.71736 ν 4 ＝29.5 ｒ 8 ＝ 214.939 ｄ 8 ＝ 25.8 ｒ 9 ＝ 504.725 ｄ 9 ＝ 29.0 ｎ 5 ＝ 1.58913 ν 5 ＝61.2 ｒ10 ＝ -329.867 ｄ10 ＝ 2.2 ｒ11 ＝ 183.546 ｄ11 ＝ 37.0 ｎ 6 ＝ 1.58913 ν 6 ＝61.2 ｒ12 ＝ -398.536 ｄ12 ＝ 7.0 ｒ13 ＝ 892.611 ｄ13 ＝ 8.5 ｎ 7 ＝ 1.72825 ν 7 ＝28.3 ｒ14 ＝ 178.914 ｄ14 ＝ 19.0 ｒ15 ＝-7688.312 ｄ15 ＝ 30.0 ｎ 8 ＝ 1.49178 ν 8 ＝57.2 ｒ16 ＝ -427.374 ｄ16 ＝ 90.58 ｒ17 ＝ -97.862 ｄ17 ＝ 5.5 ｎ 9 ＝ 1.49178 ν 9 ＝57.2 ｒ18 ＝ ∞ ｄ18 ＝ 18.0 ｎ 8 ＝ 1.43500 ν 8 ＝50.7 ｒ19 ＝ ∞ ｄ19 ＝ 20.0 ｎ10 ＝ 1.54040 ν10 ＝50.7 ｒ20 ＝ ∞ （第１面の非球面係数） ａ 3 ＝ 4.42714×10-7 ａ 4 ＝ -5.51659×10-8 ａ 5 ＝ -3.17082×10-11 ａ 6 ＝ -3.90978×10-14 ａ 7 ＝ 5.93436×10-16 ａ 8 ＝ 6.73440×10-18 ａ 9 ＝ 0.0 ａ10 ＝ -4.91195×10-22 （第２面の非球面係数） ａ 3 ＝ 6.53716×10-7 ａ 4 ＝ 7.02068×10-9 ａ 5 ＝ -1.50990×10-11 ａ 6 ＝ 2.54830×10-12 ａ 7 ＝ -1.33764×10-15 ａ 8 ＝ -6.29949×10-17 ａ 9 ＝ 0.0 ａ10 ＝ 4.12431×10-21 （第１５面の非球面係数） ａ 3 ＝ 1.12409×10-7 ａ 4 ＝ 5.42728×10-8 ａ 5 ＝ -3.16569×10-11 ａ 6 ＝ 2.55458×10-12 ａ 7 ＝ 2.26652×10-14 ａ 8 ＝ 1.32388×10-16 ａ 9 ＝ 0.0 ａ10 ＝ -5.38260×10-20 （第１６面の非球面係数） ａ 3 ＝ -5.96892×10-7 ａ 4 ＝ 7.92853×10-8 ａ 5 ＝ 1.65590×10-11 ａ 6 ＝ 6.85925×10-13 ａ 7 ＝ 1.08541×10-14 ａ 8 ＝ 8.51906×10-16 ａ 9 ＝ 0.0 ａ10 ＝ -1.01319×10-19 （第１７面の非球面係数） ａ 3 ＝ 0.0 ａ 4 ＝ -9.99210×10-8 ａ 5 ＝ 0.0 ａ 6 ＝ 3.57904×10-11 ａ 7 ＝ 0.0 ａ 8 ＝ -3.59676×10-15 ａ 9 ＝ 0.0 ａ10 ＝ 1.63228×10-19 ｄ12／ｆ0＝0.189 ｆB1＝-1704．79 ここでＮｄはレンズ素子の屈折率、νｄはアッベ数、ｒ
１からｒ１８は順次のレンズ面で正は右からたてた半径
を、負は左からたてた半径をそれぞれ示す。ｒ１，ｒ
２，ｒ１３，ｒ１４，ｒ１５は,Ｓを光軸からの開口の
半径距離ｈの位置におけるレンズ頂点からの変位量、ａ
３からａ１０までを定数としたとき、 【数４】 で示される非球面のレンズ面である。7. The projection lens according to claim 1, wherein
A projection lens with an EFL of 201 mm and an aperture ratio of 1: 1.1, with the following specifications. Axial line between surfaces Surface radius (mm) Direction distance (mm) Nd νd r 1 = 514.902 d 1 = 18.0 n 1 = 1.49178 ν 1 = 57.2 r 2 = 450.596 d 2 = 38.0 r 3 = 359.808 d 3 = 22.0 n 2 = 1.58913 ν 2 = 61.2 r 4 = ∞ d 4 = 2.0 r 5 = 146488.862 d 5 = 18.5 n 3 = 1.58913 ν 3 = 61.2 r 6 = -704.699 d 6 = 1.0 r 7 = 792.365 d 7 = 8.5 n 4 = 1.71736 ν 4 = 29.5 r 8 ＝ 214.939 d 8 ＝ 25.8 r 9 ＝ 504.725 d 9 ＝ 29.0 n 5 ＝ 1.58913 ν 5 ＝ 61.2 r10 ＝ -329.867 d10 ＝ 2.2 r11 ＝ 183.546 d11 ＝ 37.0 n 6 ＝ 1.561.2 ν 6 r12 = -398.536 d12 = 7.0 r13 = 892.611 d13 = 8.5 n7 = 1.72825 ν7 = 28.3 r14 = 178.914 d14 = 19.0 r15 = -7688.312 d15 = 30.0 n8 = 1.49178 ν8 = 57.2 r37 = 427.16 = 427. = -97.862 d17 = 5.5 n9 = 1.49178 ν9 = 57.2 r18 = ∞ d18 = 18.0 n8 = 1.43500 ν8 = 50.7 r19 = ∞ d19 = 20.0 n10 = 1. 54040 ν10 = 50.7 r20 = ∞ (aspherical coefficients of the first surface) a 3 = 4.42714 × 10 -7 a 4 = -5.51659 × 10 -8 a 5 = -3.17082 × 10 -11 a 6 = -3.90978 × 10 - 14 a 7 = 5.93436 x 10 -16 a 8 = 6.73440 x 10 -18 a 9 = 0.0 a 10 = -4.91195 x 10 -22 (aspherical coefficient of the second surface) a 3 = 6.53716 x 10 -7 a 4 = 7.02068 × 10 -9 a 5 = -1.50990 × 10 -11 a 6 = 2.54830 × 10 -12 a 7 = -1.33764 × 10 -15 a 8 = -6.29949 × 10 -17 a 9 = 0.0 a 10 = 4.12431 × 10 -21 (Aspherical surface coefficient of the 15th surface) a 3 = 1.12409 × 10 −7 a 4 = 5.42728 × 10 −8 a 5 = −3.16569 × 10 −11 a 6 = 2.55458 × 10 −12 a 7 = 2.26652 × 10 −14 a8 = 1.32388 x 10 -16 a9 = 0.0 a10 = -5.38260 x 10 -20 (aspherical surface coefficient of the 16th surface) a 3 = -5.96892 x 10 -7 a 4 = 7.92853 x 10 -8 a 5 = 1.65590 × 10 -11 a 6 = 6.85925 × 10 -13 a 7 = 1.08541 × 10 -14 a 8 = 8.51906 × 10 -16 a 9 = 0.0 a10 = -1.01319 × 10 -19 ( aspherical coefficients of the 17th surface) 3 = 0.0 a 4 = -9.99210 × 10 -8 a 5 = 0.0 a 6 = 3.57904 × 10 -11 a 7 = 0.0 a 8 = -3.59676 × 10 -15 a 9 = 0.0 a10 = 1.63228 × 10 -19 d12 / f0 = 0.189 fB1 = -1704.79 where Nd is the refractive index of the lens element, νd is the Abbe number, r
Reference numerals 1 to r18 denote sequential lens surfaces, where positive is a radius from the right and negative is a radius from the left. r1, r
2, r13, r14, and r15 are displacement amounts from the lens vertex at the position of the radial distance h of the aperture from the optical axis, a
When 3 to a10 are constants, Is an aspherical lens surface.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP6208282A JPH0876013A (en) | 1994-09-01 | 1994-09-01 | Projection lens |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP6208282A JPH0876013A (en) | 1994-09-01 | 1994-09-01 | Projection lens |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| JPH0876013A true JPH0876013A (en) | 1996-03-22 |
Family
ID=16553667
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP6208282A Pending JPH0876013A (en) | 1994-09-01 | 1994-09-01 | Projection lens |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JPH0876013A (en) |
Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP2007086612A (en) * | 2005-09-26 | 2007-04-05 | Fujinon Corp | Imaging lens |
| CN113419330A (en) * | 2021-06-07 | 2021-09-21 | 江西晶超光学有限公司 | Optical system, camera module, electronic equipment and carrier |
| CN115826211A (en) * | 2023-02-17 | 2023-03-21 | 深圳市雷影光电科技有限公司 | Full-frame wide-angle automatic focusing lens with super-large aperture |
-
1994
- 1994-09-01 JP JP6208282A patent/JPH0876013A/en active Pending
Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP2007086612A (en) * | 2005-09-26 | 2007-04-05 | Fujinon Corp | Imaging lens |
| CN113419330A (en) * | 2021-06-07 | 2021-09-21 | 江西晶超光学有限公司 | Optical system, camera module, electronic equipment and carrier |
| CN113419330B (en) * | 2021-06-07 | 2022-05-13 | 江西晶超光学有限公司 | Optical system, camera module, electronic equipment and carrier |
| CN115826211A (en) * | 2023-02-17 | 2023-03-21 | 深圳市雷影光电科技有限公司 | Full-frame wide-angle automatic focusing lens with super-large aperture |
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