JPS6148130B2 - - Google Patents
Info
- Publication number
- JPS6148130B2 JPS6148130B2 JP11959178A JP11959178A JPS6148130B2 JP S6148130 B2 JPS6148130 B2 JP S6148130B2 JP 11959178 A JP11959178 A JP 11959178A JP 11959178 A JP11959178 A JP 11959178A JP S6148130 B2 JPS6148130 B2 JP S6148130B2
- Authority
- JP
- Japan
- Prior art keywords
- lens
- convex
- lenses
- curvature
- radius
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Expired
Links
- 230000003287 optical effect Effects 0.000 claims description 2
- 230000004075 alteration Effects 0.000 description 17
- 206010010071 Coma Diseases 0.000 description 6
- 201000009310 astigmatism Diseases 0.000 description 5
- 238000010586 diagram Methods 0.000 description 2
- 238000004519 manufacturing process Methods 0.000 description 1
Classifications
-
- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B13/00—Optical objectives specially designed for the purposes specified below
- G02B13/001—Miniaturised objectives for electronic devices, e.g. portable telephones, webcams, PDAs, small digital cameras
- G02B13/0015—Miniaturised objectives for electronic devices, e.g. portable telephones, webcams, PDAs, small digital cameras characterised by the lens design
- G02B13/002—Miniaturised objectives for electronic devices, e.g. portable telephones, webcams, PDAs, small digital cameras characterised by the lens design having at least one aspherical surface
- G02B13/003—Miniaturised objectives for electronic devices, e.g. portable telephones, webcams, PDAs, small digital cameras characterised by the lens design having at least one aspherical surface having two lenses
-
- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B13/00—Optical objectives specially designed for the purposes specified below
- G02B13/18—Optical objectives specially designed for the purposes specified below with lenses having one or more non-spherical faces, e.g. for reducing geometrical aberration
Description
本発明は、高分解能レンズに関する。
本発明の目的は、ビデオデイスク等において要
求の高い高分解能レンズを、最少個数のレンズに
より安価に製作することを目的とするもので、そ
の基本的な特徴は、２個の非球面を用いたレンズ
系からなる構成を有することにある。さらに詳細
に述べると、本発明によるレンズは、２個の凸レ
ンズよりなる光学系において、第１及び第２レン
ズの屈折率をそれぞれn1及びn2とし、第１レンズ
の焦点距離をf1とすると共に、第１面は曲率半径
r1の強い凸面、第２面は凸又は凹の非球面、第２
レンズの前面は曲率半径r3の強い球面、後面はゆ
るい凸又は凹の球面とし、さらに第１レンズと第
２レンズとの間の空気間隔をd2、レンズの総合焦
点距離をｆとするとき、
(i) 16＞ｒ１／ｎ１−１＞12
(ii) 1.9＞ｆ１／ｆ＞1.4
(iii) 12＞ｒ３／ｎ２−１＞８
(iv) 0.9＞ｄ２／ｆ＞0.6
の関係を有し、かつ
(v) 第２面は頂点が球面で近似され少くとも入射
高の４乗に比例する項までを含む非球面である
ことを特徴とするもので、その限定条件の意味
を説明すると次の通りである。
(i)の条件は、第１レンズの屈折率n1に応じた第
１面の曲率半径r1を決定し、正弦条件を満足させ
るための条件式である。もし、ｒ１／ｎ１−１＞16にす
る
と正弦条件が補正過剰となり補正過剰のコマ収差
が発生し、ｒ１／ｎ１−１＜12にすると正弦条件が補正
不
足となり、コマ収差が補正不足となるものであ
り、本条件を満足させることによりコマ収差を良
好に補正することができるものである。
(ii)の条件は、第１レンズの焦点距離f1と全系の
焦点距離ｆとの関係を規定するものである。本発
明のように２枚の凸レンズより構成されるレンズ
系では、第１レンズの焦点距離f1を如何なる範囲
に設定するかは、全系での球面収差とコマ収差と
を良好に補正する上で重要な条件となるものであ
る。もし、ｆ１／ｆ＞1.9のように第１レンズの屈折力
が大のときは球面収差とコマ収差が補正不足とな
り、第２レンズで補正しきれず、またｆ１／ｆ＜1.4の
ように第１レンズの屈折力が小のときは逆に球面
収差とコマ収差が補正過剰となり、第２レンズで
補正できないものであり、本条件を満足させるこ
とにより球面収差及びコマ収差を良好に補正する
ことができるものである。
(iii)、(iv)の条件は、第２レンズの曲率半径r3及び
第１レンズと第２レンズとの間隔d2を規定するも
のである。このr3、d2は相互に関連し合つて非点
収差を補正する上で重要な要件となるものであ
る。(iv)の条件に関連して述べると、もしｄ２／ｆ＞0.
9
とするとr3は極端に小さい値をとらざるをえず、
非点収差の補正過剰が大きくなりすぎ、逆にｄ２／ｆ＞
0.6とするとr3の値が大きくなりすぎ、非点収差
の補正不足を補正できないものである。そのため
本発明においてはd2を(iv)の条件を満たすべく設定
し、かつこのd2に対応して(iii)の条件を満たすべく
r3を設定することにより良好に非点収差を補正す
ることができるものである。
次に(v)の条件について説明すると、第２面を構
成する非球面においては、第２面の頂点における
接平面に関し、各入射高での接平面までの距離ｘ
は、１／ｒ２＝ｃ、入射高をＰとするとき、
の式によつて表わされ、頂点付近は球面で近似さ
れ入射高が大きくなると少くともA0P4の項を含
むようになるものである。このように、本発明に
よれば、(i)ないし(iv)の条件により、コマ収差、球
面収差、非点収差を良好に補正できるとともに、
さらに(v)の条件により球面収差を高分解能に適合
させるように補正できるものである。
本発明によるレンズは、(i)ないし(iv)の条件によ
り各収差を良好に補正するとともに、(v)の条件に
より第２面に非球面を用いて球面収差を補正する
ことにより、レンズ枚数を２枚にすることがで
き、従来のNA0.4ないし0.5、倍率15ないし20倍
程度の高分解能レンズにおいて、４ないし５枚の
レンズが必要とされていたのに比し、価格を大巾
に低減することができる。また、プラスチツク材
料による成形も可能で、レンズ枚数の減少と併せ
て、重量を大巾に軽減できる。さらに、レンズ枚
数が２枚であるので、心出しも容易になる。
以下、本発明の実施例を図について説明する
と、第１図は本発明によるレンズの基本構成を示
すもので、１は第１レンズ、２は第２レンズであ
り、第１レンズ１の第１面は曲率半径r1の凸球
面、第２面は非球面である。第２レンズ２の前面
も曲率半径r3の凸球面で、後面は曲率半径r4の凸
面又は凹面とする。
本発明のレンズの具体的な設計例を以下に示
し、収差図を第２図ないし第４図にそれぞれ示
す。
The present invention relates to high resolution lenses. The purpose of the present invention is to inexpensively manufacture high-resolution lenses, which are in high demand for video discs, etc., using a minimum number of lenses. It has a configuration consisting of a lens system. More specifically, in the lens according to the present invention, in an optical system consisting of two convex lenses, the refractive indices of the first and second lenses are n 1 and n 2 , respectively, and the focal length of the first lens is f 1 . At the same time, the first surface has a radius of curvature
r 1 strongly convex surface, the second surface is a convex or concave aspheric surface, the second surface is a convex or concave aspheric surface,
The front surface of the lens is a strong spherical surface with a radius of curvature r 3 , the rear surface is a gently convex or concave spherical surface, the air distance between the first lens and the second lens is d 2 , and the total focal length of the lens is f. , (i) 16>r 1 /n 1 -1>12 (ii) 1.9>f 1 /f>1.4 (iii) 12>r 3 /n 2 -1>8 (iv) 0.9>d 2 /f> 0.6, and (v) the second surface is characterized by being an aspheric surface whose apex is approximated by a spherical surface and which includes at least a term proportional to the fourth power of the incident height, and the limiting condition is that The meaning of is explained as follows. Condition (i) is a conditional expression for determining the radius of curvature r 1 of the first surface according to the refractive index n 1 of the first lens and satisfying the sine condition. If r 1 /n 1 -1>16, the sine condition will be over-corrected and over-corrected coma aberration will occur, and if r 1 /n 1-1 <12, the sine condition will be under-corrected and coma will be corrected. By satisfying this condition, it is possible to satisfactorily correct coma aberration. Condition (ii) defines the relationship between the focal length f 1 of the first lens and the focal length f of the entire system. In a lens system composed of two convex lenses as in the present invention, the range in which the focal length f1 of the first lens is set is determined in order to satisfactorily correct spherical aberration and comatic aberration in the entire system. This is an important condition. If the refractive power of the first lens is large, such as f 1 /f>1.9, spherical aberration and comatic aberration will be insufficiently corrected and cannot be fully corrected by the second lens, and if f 1 /f<1.4, Conversely, when the refractive power of the first lens is small, spherical aberration and coma aberration are overcorrected and cannot be corrected by the second lens.By satisfying this condition, spherical aberration and coma aberration can be corrected well. It is something that can be done. Conditions (iii) and (iv) define the radius of curvature r 3 of the second lens and the distance d 2 between the first lens and the second lens. These r 3 and d 2 are related to each other and are important requirements for correcting astigmatism. Regarding condition (iv), if d 2 /f>0.
9, r 3 has to take an extremely small value,
Overcorrection of astigmatism becomes too large, and conversely, if d 2 /f>0.6, the value of r 3 becomes too large, making it impossible to correct undercorrection of astigmatism. Therefore, in the present invention, d 2 is set to satisfy condition (iv), and corresponding to this d 2 is set to satisfy condition (iii).
By setting r3 , astigmatism can be corrected well. Next, to explain condition (v), regarding the aspherical surface that constitutes the second surface, regarding the tangent plane at the apex of the second surface, the distance to the tangent plane at each incident height x
is 1/r 2 =c, and when the incident height is P, The area near the apex is approximated by a spherical surface, and as the incident height increases, it includes at least the term A 0 P 4 . As described above, according to the present invention, coma aberration, spherical aberration, and astigmatism can be favorably corrected by the conditions (i) to (iv), and
Furthermore, according to condition (v), spherical aberration can be corrected to suit high resolution. The lens according to the present invention satisfactorily corrects each aberration according to the conditions (i) to (iv), and corrects spherical aberration by using an aspherical surface on the second surface according to the condition (v). can be reduced to two lenses, significantly reducing the price compared to conventional high-resolution lenses with an NA of 0.4 to 0.5 and a magnification of 15 to 20 times, which require four to five lenses. can be reduced to It is also possible to mold the lens using plastic material, which reduces the number of lenses and significantly reduces the weight. Furthermore, since the number of lenses is two, centering becomes easy. Hereinafter, embodiments of the present invention will be explained with reference to the drawings. Fig. 1 shows the basic configuration of a lens according to the present invention, where 1 is a first lens, 2 is a second lens, and the first lens of the first lens 1 is a first lens. The surface is a convex spherical surface with a radius of curvature r 1 , and the second surface is an aspherical surface. The front surface of the second lens 2 is also a convex spherical surface with a radius of curvature r 3 , and the rear surface is a convex surface or a concave surface with a radius of curvature r 4 . A specific design example of the lens of the present invention is shown below, and aberration diagrams are shown in FIGS. 2 to 4, respectively.
【表】【table】
【表】【table】
【表】【table】
第１図は本発明によるレンズの基本構成を示
し、第２図ないし第４図は収差図を示す。
１……第１レンズ、２……第２レンズ。
FIG. 1 shows the basic structure of a lens according to the present invention, and FIGS. 2 to 4 show aberration diagrams. 1...first lens, 2...second lens.
Claims (1)
１及び第２レンズの屈折率をそれぞれn1及びn2と
し、第１レンズの焦点距離をf1とすると共に、第
１面は曲率半径r1の強い凸面、第２面は凸又は凹
の非球面、第２レンズの前面は曲率半径r3の強い
球面、後面はゆるい凸又は凹の球面とし、さらに
第１レンズと第２レンズとの間の空気間隔をd2、
レンズの総合焦点距離をｆとするとき、 (i) 16＞ｒ１／ｎ１−１＞12 (ii) 1.9＞ｆ１／ｆ＞1.4 (iii) 12＞ｒ３／ｎ２−１＞８ (iv) 0.9＞ｄ２／ｆ＞0.6 の関係を有し、かつ (v) 第２面は頂点が球面で近似され少くとも入射
高の４乗に比例する項までを含む非球面である
ことを特徴とする高分解能レンズ。[Claims] 1. In an optical system consisting of two convex lenses, the refractive indices of the first and second lenses are n 1 and n 2 , respectively, the focal length of the first lens is f 1 , and the first The surface is a strongly convex surface with a radius of curvature r 1 , the second surface is a convex or concave aspheric surface, the front surface of the second lens is a strong spherical surface with a radius of curvature r 3 , the rear surface is a gently convex or concave spherical surface, and the first lens and The air distance between the second lens and the second lens is d 2 ,
When the total focal length of the lens is f, (i) 16>r 1 /n 1 -1>12 (ii) 1.9>f 1 /f>1.4 (iii) 12>r 3 /n 2 -1>8 (iv) The relationship is 0.9>d 2 /f>0.6, and (v) the second surface is an aspherical surface whose apex is approximated by a spherical surface and includes at least a term proportional to the fourth power of the incident height. A high-resolution lens featuring
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP11959178A JPS5545084A (en) | 1978-09-26 | 1978-09-26 | High resolution lens |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP11959178A JPS5545084A (en) | 1978-09-26 | 1978-09-26 | High resolution lens |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| JPS5545084A JPS5545084A (en) | 1980-03-29 |
| JPS6148130B2 true JPS6148130B2 (en) | 1986-10-22 |
Family
ID=14765157
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP11959178A Granted JPS5545084A (en) | 1978-09-26 | 1978-09-26 | High resolution lens |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JPS5545084A (en) |
Families Citing this family (14)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| DE3249662C2 (en) * | 1982-05-29 | 1988-08-04 | Optische Werke G. Rodenstock, 8000 Muenchen, De | Scanning lens |
| DE3220408C2 (en) | 1982-05-29 | 1985-05-15 | Optische Werke G. Rodenstock, 8000 München | Scanning lens |
| JPS58219511A (en) * | 1982-06-16 | 1983-12-21 | Olympus Optical Co Ltd | Lens for optical disc |
| JPS5926714A (en) * | 1982-08-05 | 1984-02-13 | Olympus Optical Co Ltd | Lens for optical disc |
| US4595264A (en) * | 1982-09-13 | 1986-06-17 | Olympus Optical Co., Ltd. | Lens system for optical recording type disks |
| GB2143962A (en) * | 1983-07-25 | 1985-02-20 | Philips Electronic Associated | Projection lens systems |
| JPS60247213A (en) * | 1984-05-22 | 1985-12-06 | Alps Electric Co Ltd | Objective lens for optical pickup |
| JPS61177407A (en) * | 1985-02-01 | 1986-08-09 | Konishiroku Photo Ind Co Ltd | Objective lens for recording and reproducing of optical information recording medium |
| JPH07119889B2 (en) * | 1985-09-20 | 1995-12-20 | コニカ株式会社 | Condensing optical system for recording / reproducing optical system of optical information recording medium |
| JP5609736B2 (en) | 2011-03-28 | 2014-10-22 | 株式会社豊田自動織機 | Electric compressor |
| CN104603551B (en) | 2012-07-11 | 2018-05-18 | 特灵国际有限公司 | For the method and apparatus of vibration isolation |
| IN2015DN01982A (en) | 2012-08-17 | 2015-08-14 | Trane Int Inc | |
| US10731648B2 (en) | 2014-11-07 | 2020-08-04 | Trane International Inc. | Sound control for a heating, ventilation, and air conditioning unit |
| US10030660B1 (en) | 2017-05-31 | 2018-07-24 | Trane International Inc. | Pulsation and vibration control device |
-
1978
- 1978-09-26 JP JP11959178A patent/JPS5545084A/en active Granted
Also Published As
| Publication number | Publication date |
|---|---|
| JPS5545084A (en) | 1980-03-29 |
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