JPH0145861B2 - - Google Patents
Info
- Publication number
- JPH0145861B2 JPH0145861B2 JP11621382A JP11621382A JPH0145861B2 JP H0145861 B2 JPH0145861 B2 JP H0145861B2 JP 11621382 A JP11621382 A JP 11621382A JP 11621382 A JP11621382 A JP 11621382A JP H0145861 B2 JPH0145861 B2 JP H0145861B2
- Authority
- JP
- Japan
- Prior art keywords
- mtf
- magnification
- optical system
- test chart
- lens
- 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
- 238000012360 testing method Methods 0.000 claims description 17
- 230000003287 optical effect Effects 0.000 claims description 16
- 238000005259 measurement Methods 0.000 claims description 12
- 238000003384 imaging method Methods 0.000 claims description 4
- 230000001131 transforming effect Effects 0.000 claims 1
- 238000010586 diagram Methods 0.000 description 9
- 238000004364 calculation method Methods 0.000 description 7
- 238000013461 design Methods 0.000 description 4
- 238000000034 method Methods 0.000 description 3
- 238000012935 Averaging Methods 0.000 description 2
- 238000004519 manufacturing process Methods 0.000 description 2
- 238000012546 transfer Methods 0.000 description 2
- 102100027340 Slit homolog 2 protein Human genes 0.000 description 1
- 101710133576 Slit homolog 2 protein Proteins 0.000 description 1
- 238000007796 conventional method Methods 0.000 description 1
- 238000009795 derivation Methods 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
- 238000000691 measurement method Methods 0.000 description 1
- 238000005316 response function Methods 0.000 description 1
Classifications
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01M—TESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
- G01M11/00—Testing of optical apparatus; Testing structures by optical methods not otherwise provided for
- G01M11/02—Testing optical properties
- G01M11/0292—Testing optical properties of objectives by measuring the optical modulation transfer function
Landscapes
- Chemical & Material Sciences (AREA)
- Analytical Chemistry (AREA)
- Physics & Mathematics (AREA)
- General Physics & Mathematics (AREA)
- Testing Of Optical Devices Or Fibers (AREA)
Description
【発明の詳細な説明】
この発明は、レンズ等の光学系のMTF測定機
に関する。DETAILED DESCRIPTION OF THE INVENTION The present invention relates to an MTF measuring device for optical systems such as lenses.
レンズの性能の指標として用いられるMTF
(Modulation transfer function、コントラスト
伝達率、レスポンス関数とも云う)の測定は、テ
ストチヤートに例えばスリツトとして設けられた
線状パターンを被検レンズで結像させ、得られた
線像の光強度分布をフーリエ変換することによつ
て行なわれ、測定されたMTF値をあらかじめ定
められた規格値と比較してレンズの良否を判定す
る。 MTF used as an indicator of lens performance
To measure the modulation transfer function, contrast transfer rate, and response function, a linear pattern provided as a slit on a test chart is imaged with a test lens, and the light intensity distribution of the obtained line image is measured using a Fourier method. The quality of the lens is determined by comparing the measured MTF value with a predetermined standard value.
MTF測定機の基本的な構成を第1図により説
明すると、光源ランプ1によりスリツト2を形成
したテストチヤート3を照明し、スリツト2の透
過光、すなわち線状パターンの出射光を被検レン
ズ4により結像面5に結像させ、得られた線像の
光強度分布を線像と直角方向に設けた受光素子ア
レイ(広く云えば電荷結合素子(charge
coupled device)以下CCDと略す)6で検出し、
その信号をコンピユータ7に入力してフーリエ変
換演算を行ない、MTFを求める。 The basic configuration of the MTF measuring machine will be explained with reference to FIG. The light intensity distribution of the obtained line image is formed on the imaging plane 5 by a light receiving element array (broadly speaking, a charge coupled device (charge coupled device)).
Detected by coupled device (hereinafter abbreviated as CCD) 6,
The signal is input to the computer 7 and Fourier transform is performed to obtain the MTF.
スリツト2はレンズの種々の像高位置、アジマ
ス方向について複数本テストチヤート3上に設け
られ、結像面5にはこれらのスリツト2の各線像
に対して夫々直交する如くCCDアレイ6が対応
して設けられる。第2図はテストチヤート3の一
例で、軸上及び周辺部4個所計5個所に半径方向
及び円周方向のスリツト2が設けられ、結像面5
には第3図に示す如く、これに対応する位置に
CCDアレイ6が設けられている。 A plurality of slits 2 are provided on the test chart 3 at various image height positions and azimuth directions of the lens, and a CCD array 6 corresponds to the image forming surface 5 so as to be orthogonal to each line image of these slits 2. It will be established. FIG. 2 shows an example of the test chart 3, in which slits 2 in the radial and circumferential directions are provided at five locations, four on the axis and on the periphery.
as shown in Figure 3, in the corresponding position.
A CCD array 6 is provided.
さて、上記構成のMTF測定機において有限倍
率でのMTF測定は、一般に装置が繁雑になるこ
とや操作のわずらわしさを避けるために、光路長
を一定として測定することが多かつた。 Now, in MTF measurement with a finite magnification in the MTF measurement device having the above configuration, the optical path length is generally measured at a constant value in order to avoid the complexity of the device and the troublesome operation.
この場合、同一設計のレンズにおいても製造誤
差により、焦点距離にバラツキがあるため、結果
的に像の倍率が異なつてしまうことになる。従来
のMTF測定機では、MTFの算出に使用する倍率
は光路長、焦点距離とも各々の設計値を用いて算
出している為、測定演算して求めたMTF値には
誤差の発生が避けられなかつた。 In this case, even lenses of the same design have variations in focal length due to manufacturing errors, resulting in different image magnifications. With conventional MTF measuring instruments, the magnification used to calculate MTF is calculated using the design values of both optical path length and focal length, so errors can be avoided in the MTF value obtained by measurement calculation. Nakatsuta.
又、一つのMTF測定機では光路長を一定にし
ている結果、MTF導出式内の倍率項が固定され
るため焦点距離の設計値が異なる異種のレンズの
MTFを一台の測定機で測定することが出来ず、
単一焦点距離のレンズしか測定出来ないものが多
かつた。 In addition, as a result of keeping the optical path length constant in one MTF measurement device, the magnification term in the MTF derivation formula is fixed, so different types of lenses with different focal length design values can be used.
MTF cannot be measured with one measuring device,
In many cases, only lenses with a single focal length could be measured.
この発明は、上記構成の従来MTF測定機の上
述の欠点を除去した、レンズ等被検光学系の実際
の倍率に対応した正確なMTF値を算出すること
ができ、又種々の焦点距離のレンズ等光学系の
MTFを、光路長を調整することなしに測定する
ことのでるMTF測定機を提供することを目的と
する。 The present invention eliminates the above-mentioned drawbacks of the conventional MTF measuring device configured as described above, can calculate an accurate MTF value corresponding to the actual magnification of the optical system to be tested, such as a lens, and can calculate an accurate MTF value corresponding to the actual magnification of the optical system to be tested, such as a lens. iso-optical system
The purpose of the present invention is to provide an MTF measurement device that can measure MTF without adjusting the optical path length.
以下、本発明を、その実施例を示す図面にもと
づいて詳細に説明する。 EMBODIMENT OF THE INVENTION Hereinafter, the present invention will be described in detail based on drawings showing embodiments thereof.
第4図は、本発明のMTF測定機の基本構成の
実施例を示すものであつて、光源1によりスリツ
ト2を設けたテストチヤート3を照明し、被検レ
ンズ4により線像2′を結像させ、これに直交す
る如く設けられたCCD6により強度分布を検出
し演算部でフーリエ変換の演算を行つてMTFを
出力することは第1図により説明した従来の
MTF測定機と同様である。 FIG. 4 shows an embodiment of the basic configuration of the MTF measuring device of the present invention, in which a test chart 3 provided with a slit 2 is illuminated by a light source 1, and a line image 2' is formed by a test lens 4. The method of detecting the intensity distribution using the CCD 6 installed perpendicularly to the image, performing Fourier transform calculations in the calculation section, and outputting the MTF is the conventional method explained in Fig. 1.
It is similar to the MTF measuring machine.
従来の装置では、第2図に例示した如くテスト
チヤート3の1個所の測定点においては一方向に
は1本のスリツトしか設けられていなかつたが、
本実施例のテストチヤート3では1個所の測定点
に平行なスリツトが2本又はそれ以上設けられて
いる。第4図には簡単のためテストチヤート3の
1個所の測定点のみを示しており、2本の平行な
スリツト2a,2bが設けられている。したがつ
て、結像面には平行な2本の線像2a′,2b′が
CCDアレイ6を横切つて形成され、CCDアレイ
6による出力分布図は第5図bに示す如く、ある
距離Dを置いて2つのピークが現れる。このDを
テストチヤート上のスリツト2a,2bの既知の
間隔dで割ることにより正確に倍率mを求めるこ
とができる。 In the conventional device, only one slit was provided in one direction at one measurement point on the test chart 3, as illustrated in FIG.
In the test chart 3 of this embodiment, two or more parallel slits are provided at one measurement point. For simplicity, FIG. 4 shows only one measuring point on the test chart 3, in which two parallel slits 2a and 2b are provided. Therefore, there are two parallel line images 2a' and 2b' on the imaging plane.
In the output distribution diagram formed across the CCD array 6, two peaks appear at a certain distance D, as shown in FIG. 5b. By dividing this D by the known distance d between the slits 2a and 2b on the test chart, the magnification m can be determined accurately.
ところで、従来のMTF測定機では一測定点に
一方向には1本のスリツトしか設けられていなか
つたので、CCDアレイで検出した出力波形は第
5図aに示す如く、1つのピークしか現われず倍
率を正確に測定することはできなかつた。従来の
測定機では、通常光路長を一定としたまゝ、レン
ズの距離リングを回してスリツト像のピークの大
きさを最大にする等の方法でピント合せを行なつ
ていた。しかし、カメラレンズ等の焦点距離は実
際のものについては同一設計の同種のものについ
てもバラツキが多く、上述の如きピント合せによ
り倍率はそのMTF測定機光学系設計時の倍率よ
りも大きく異なつてしまい、倍率を一定として計
算していた従来のMTF測定法ではMTF値に誤差
を生じていた。 By the way, in the conventional MTF measuring machine, only one slit was provided in one direction at one measurement point, so the output waveform detected by the CCD array only showed one peak, as shown in Figure 5a. It was not possible to accurately measure the magnification. In conventional measuring machines, focusing is usually done by keeping the optical path length constant and turning the distance ring on the lens to maximize the size of the peak of the slit image. However, the actual focal lengths of camera lenses, etc. vary widely, even for the same type of lenses with the same design, and due to the above-mentioned focusing, the magnification can vary greatly from the magnification when designing the optical system of the MTF measuring machine. The conventional MTF measurement method, which calculates using a constant magnification, causes errors in MTF values.
計算式でこの事を説明すると、
こゝに
m:投影倍率
L:光路長
f:焦点距離
こゝに
K:比例定数
Ex:CCD出力
A:2πU/m×Δx …(3)
U:空間周波数
従来は、倍率mを一定として(2)式においてAを
定数としてMTFの演算を行なつていたが、実際
には(1)式から焦点距離fが変化すれば、光路長L
を一定にした場合倍率mも変化する。倍率mが変
化すれば(3)式からAが変化し、MTFに影響を及
ぼすことは明らかである。 To explain this using a calculation formula, Here m: Projection magnification L: Optical path length f: Focal length Here, K: Proportionality constant Ex: CCD output A: 2πU/m×Δx …(3) U: Spatial frequency Conventionally, the MTF was calculated with the magnification m constant and A as a constant in equation (2). However, in reality, according to equation (1), if the focal length f changes, the optical path length L
When m is kept constant, the magnification m also changes. It is clear from equation (3) that if the magnification m changes, A will change, which will affect the MTF.
そこで本発明のMTF測定機においては、常に
測定時の倍率を検出し、(2)式による計算にこれを
用いて正確なMTF値を算出できるようにしたも
のである。 Therefore, in the MTF measurement device of the present invention, the magnification at the time of measurement is always detected, and this is used in the calculation using equation (2) to calculate an accurate MTF value.
さきに述べた如く、CCD出力の2つのピーク
の間隔Dをテストチヤート上の平行な2つのスリ
ツトの既知の間隔dで割ることにより正確に算出
された倍率mで演算部でのMTF値計算に使用す
るが、このときには補助スリツト2bによる像2
b′は無視されるように処理される。 As mentioned earlier, the MTF value calculation in the arithmetic section is performed using a magnification m that is accurately calculated by dividing the distance D between the two peaks of the CCD output by the known distance d between the two parallel slits on the test chart. However, at this time, the image 2 formed by the auxiliary slit 2b is
b′ is treated as ignored.
第6図に示す他の実施例では、テストチヤート
3には同一の太さの多数の平行なスリツト2がd
の間隔で設けられている。したがつて被検レンズ
4により結像面にはこれと対応して多数の平行な
線像2′が形成され、これと直角方向に設けた
CCDアレイ6の出力は第7図に示す如く多数の
ピークが一定の間隔Dで出現した波形になる。 In another embodiment shown in FIG. 6, the test chart 3 has a large number of parallel slits 2 of the same thickness.
are provided at intervals of Therefore, a large number of parallel line images 2' are formed on the imaging plane by the lens 4 to be tested, and a line image 2' is formed in a direction perpendicular to this.
The output of the CCD array 6 has a waveform in which many peaks appear at regular intervals D, as shown in FIG.
このように多数のスリツトを設けることによ
り、レンズが偏芯した場合にもスリツト像が
CCDアレイの範囲外にはみ出してしまうことが
防止され、従来スリツト像がCCDアレイの外に
はみ出してしまうことにより測定不能であつた偏
心量の多いレンズのMTF値の測定が可能となつ
た。この場合、倍率mの測定にはCCDアレイの
中央部に投影された2本の線像を使用すればよ
い。 By providing a large number of slits in this way, even if the lens is decentered, the slit image will remain unchanged.
This prevents the slit image from protruding outside the range of the CCD array, making it possible to measure the MTF value of a lens with a large amount of eccentricity, which was previously impossible to measure due to the slit image protruding outside the CCD array. In this case, two line images projected onto the center of the CCD array may be used to measure the magnification m.
また、MTF計算時にCCDアレイ上に投影され
た幾本かの線像を使用してそれらを平均化するこ
とにより、チヤート製造時の誤差、CCDのノイ
ズ等を除去することもできる。 Additionally, by averaging several line images projected onto the CCD array during MTF calculation, errors during chart manufacturing, CCD noise, etc. can be removed.
以上の如く、本発明によれば、個々のレンズに
対応した倍率でMTFを算出するため精度の高い
MTF値を求めることができ、又倍率と光路長と
より焦点距離を逆算することができるので焦点距
離測定器として使用することもできる。更に平均
化処理により、ノイズを除去してMTF値の測定
精度を高めることができる等種々の効果が得られ
る。 As described above, according to the present invention, the MTF is calculated with a magnification that corresponds to each lens, so it is possible to calculate the MTF with high accuracy.
Since the MTF value can be determined and the focal length can be calculated backwards from the magnification and optical path length, it can also be used as a focal length measuring device. Furthermore, the averaging process provides various effects such as removing noise and increasing the accuracy of measuring the MTF value.
第1図はMTF測定機の基本構成の1例を示す
説明図、第2図は従来のテストチヤートの一例を
示す正面図、第3図はそれに対応する結像面の
CCDアレイの配置図、第4図は本発明の実施例
を示す説明図、第5図aは従来の装置における
CCD出力波形を示す図、第5図bは本発明の上
記実施例の装置におけるCCD出力波形を示す図、
第6図は本発明の実施例を示す図、第7図はその
CCD出力波形を示す図である。
2,2a,2b……スリツト、3……テストチ
ヤート、4……レンズ、2′,2a′,2b′……線
像、6……受光素子アレイ。
Fig. 1 is an explanatory diagram showing an example of the basic configuration of an MTF measuring machine, Fig. 2 is a front view showing an example of a conventional test chart, and Fig. 3 is a corresponding image plane.
FIG. 4 is an explanatory diagram showing an embodiment of the present invention, and FIG. 5a is a layout diagram of a CCD array.
A diagram showing a CCD output waveform, FIG. 5b is a diagram showing a CCD output waveform in the apparatus of the above embodiment of the present invention,
Fig. 6 is a diagram showing an embodiment of the present invention, and Fig. 7 is a diagram showing an embodiment of the present invention.
FIG. 3 is a diagram showing a CCD output waveform. 2, 2a, 2b...slit, 3...test chart, 4...lens, 2', 2a', 2b'...line image, 6...light receiving element array.
Claims (1)
検光学系で結像させて得られた線像の強度分布を
フーリエ変換することによつて上記被検光学系の
MTFを求めるMTF測定機において、テストチヤ
ート上に互いに平行な複数本のスリツトを設け、
これに対応する複数本の線像のうちの隣接する線
像間の距離を測定し、該被検光学系の倍率を求
め、これをMTFの算出に用いることを特徴とす
るMTF測定機。 2 上記の複数本の線像について夫々MTFを求
めそれらを平均化することにより被検光学系の
MTFを求めることを特徴とする特許請求の範囲
第1項に記載のMTF測定機。[Claims] 1. The image of the optical system to be tested is determined by Fourier transforming the intensity distribution of the line image obtained by imaging the slit on the test chart with the optical system to be tested, such as a lens.
In an MTF measuring machine that measures MTF, multiple slits are placed parallel to each other on the test chart.
An MTF measurement device characterized in that the distance between adjacent line images among a plurality of corresponding line images is measured, the magnification of the optical system to be tested is determined, and this is used to calculate MTF. 2. Obtain the MTF for each of the multiple line images mentioned above and average them to determine the value of the optical system under test.
The MTF measurement device according to claim 1, characterized in that the MTF is determined.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP11621382A JPS597240A (en) | 1982-07-06 | 1982-07-06 | MTF measuring machine |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP11621382A JPS597240A (en) | 1982-07-06 | 1982-07-06 | MTF measuring machine |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| JPS597240A JPS597240A (en) | 1984-01-14 |
| JPH0145861B2 true JPH0145861B2 (en) | 1989-10-05 |
Family
ID=14681632
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP11621382A Granted JPS597240A (en) | 1982-07-06 | 1982-07-06 | MTF measuring machine |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JPS597240A (en) |
Families Citing this family (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPS60160293A (en) * | 1984-01-31 | 1985-08-21 | Victor Co Of Japan Ltd | Measuring device of space frequency characteristic of display |
| JP2015175822A (en) * | 2014-03-18 | 2015-10-05 | 富士通株式会社 | Focal length measurement method and measurement device |
| JP2015184255A (en) * | 2014-03-26 | 2015-10-22 | 富士通株式会社 | Method and apparatus for measuring focal length |
-
1982
- 1982-07-06 JP JP11621382A patent/JPS597240A/en active Granted
Also Published As
| Publication number | Publication date |
|---|---|
| JPS597240A (en) | 1984-01-14 |
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