JPS6031101A - X-ray imaging element - Google Patents
X-ray imaging elementInfo
- Publication number
- JPS6031101A JPS6031101A JP13994583A JP13994583A JPS6031101A JP S6031101 A JPS6031101 A JP S6031101A JP 13994583 A JP13994583 A JP 13994583A JP 13994583 A JP13994583 A JP 13994583A JP S6031101 A JPS6031101 A JP S6031101A
- Authority
- JP
- Japan
- Prior art keywords
- wavelength
- aberration
- zone plate
- case
- fresnel zone
- 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.)
- Granted
Links
Classifications
-
- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B5/00—Optical elements other than lenses
- G02B5/32—Holograms used as optical elements
-
- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B5/00—Optical elements other than lenses
- G02B5/18—Diffraction gratings
- G02B5/1876—Diffractive Fresnel lenses; Zone plates; Kinoforms
Landscapes
- Physics & Mathematics (AREA)
- General Physics & Mathematics (AREA)
- Optics & Photonics (AREA)
- Diffracting Gratings Or Hologram Optical Elements (AREA)
Abstract
Description
【発明の詳細な説明】 (イ)産業上の利用分野 したものに関する。[Detailed description of the invention] (b) Industrial application field related to what was done.
(ロ)従来技術
X線は屈折を利用した収束手段は適用できないが回折を
利用すれば収束或は結像をさせることが可能である。こ
のためX線用のフレネルゾーンプレートが考えられたが
、同心円の間隔が大へんせまく、機械的に工作すること
は困難である。電子線露光による輪帯描画法も考えられ
ているが、実用的な大きさのものを作ることは困難であ
る。そこでホログラフィを用いて干渉縞を記録する方法
が考えられるが、ホログラフィに用いる光の波長塵とし
ても、大へん長い波長の光を用いることになる。しかし
このように長い波長の光を用いて記録したゾーンプレー
トはホログラフィに用いたのと異る波長で用いると結像
の収差が大きく、X線収束用としての性能は非常に低い
ものであった。(b) Conventional technology Although convergence means using refraction cannot be applied to X-rays, it is possible to converge or image them using diffraction. For this reason, a Fresnel zone plate for X-rays was considered, but the spacing between the concentric circles is very small, making it difficult to fabricate mechanically. An annular drawing method using electron beam exposure has also been considered, but it is difficult to make one of a practical size. Therefore, a method of recording interference fringes using holography has been considered, but this would involve using light with a very long wavelength as the wavelength of light used for holography. However, when a zone plate recorded using light with such a long wavelength was used at a wavelength different from that used for holography, the imaging aberration was large, and its performance as an X-ray focusing device was extremely low. .
(ハ) 目 的
本発明はホログラフィによって記録したフレネルゾーン
プレートをホログラフィに用いた波長より短い波長で使
用する場合の収差の低減を目的とする。(c) Purpose The present invention aims to reduce aberrations when a Fresnel zone plate recorded by holography is used at a wavelength shorter than the wavelength used for holography.
(ニ)構 成
本発明は上記目的を達成するため、回転対称的に彎曲し
た曲面上にホログラフィによって干渉縞を記録したフレ
ネルゾーンプレートを提供する。(d) Configuration In order to achieve the above object, the present invention provides a Fresnel zone plate in which interference fringes are recorded by holography on a rotationally symmetrically curved curved surface.
第一図に示すように、平板Pに垂直な軸上に0点、1点
を取り、寸法関係を図示u、V、S、tのように定めて
u 十v = s +t −−nλ(nは整数)・・・
・・・(1)2
の関係を満す、半径rnの同心円のゾーン、すなわちフ
レネルゾーンを形成すれば、点Oから出た光は点工に集
束され、1 / n3. 1 / v3以上の高次の項
を無視すれば、
が得られる。As shown in Figure 1, point 0 and point 1 are taken on the axis perpendicular to the flat plate P, and the dimensional relationships are determined as shown in the diagram, u, V, S, and t. n is an integer)...
...(1) If we form a concentric zone with a radius rn that satisfies the relationship 2, that is, a Fresnel zone, the light emitted from the point O will be focused on the dot, and 1/n3. If we ignore higher-order terms of 1/v3 or higher, we get:
これはフレネルゾーンプレートが凸レンズと同じ作用を
もっていることを示しておシ、その焦点距離は
n2
f=□・・・・・・・・・・・・・・・・・・(3)n
λ
(nは整数rnはn番目の輪帯
の半径)で表わされる。This shows that the Fresnel zone plate has the same effect as a convex lens, and its focal length is n2 f=□・・・・・・・・・・・・・・・(3)n
It is expressed as λ (n is an integer and rn is the radius of the nth ring zone).
第二図Aはこのようなフレネルゾーンプレートを0点か
ら発散する光束W1及び1点に収束する光束W2の2光
波の平面板P上の干渉により作る場合の記録再生の模式
図で、フレネルゾーンプレートはいわゆる点像のホログ
ラムと同じである。このようにして作ったフレネルゾー
ンプレートでは第二図Bに示すように点0からの光をI
に集光させる場合に波長が記録光源の波長と同じであれ
ば、焦点位置は、との輪帯に関しても一定で、■の位置
に無収差の点像が得られる。ところが、このようにして
作成したフレネルゾーンプレー1−を記録光源の波長と
は別の、たとえばX線領域の波長λ1で用いる場合の焦
点距離は
λ
fλ′−−f・・・・・・・・・・・・・・・・・・・
・・・・・・・・・・・(4)λ1
となり、(2)式に相当する結像の関係式は−十−=□
・・・・・・・・・・・・・・・・・・・・・(5)u
l v l fλ1
となるが同時に大きな収差も発生して、列置実用にはな
らない。本発明は、このような問題点を解決するために
第二図の点像のホログラムを球面上に形成することによ
って解決しようとするものである。たとえば、He−C
dレーザの44 ’+−6Aで記録し、これを軟X線領
域の100Aの波長で用いても、実用上十分なだけ収差
補正のなされた大きなフレネルゾーンプレートの提供を
可能にしだものである。Figure 2 A is a schematic diagram of recording and reproducing when such a Fresnel zone plate is created by interference on a plane plate P of two light waves, a light beam W1 diverging from 0 point and a light beam W2 converging to one point. The plate is the same as a so-called point image hologram. In the Fresnel zone plate made in this way, the light from point 0 is
If the wavelength is the same as that of the recording light source, the focal position will be constant with respect to the annular zones and, and an aberration-free point image will be obtained at the position of ■. However, when the Fresnel zone play 1- created in this way is used at a wavelength λ1 in the X-ray region, which is different from the wavelength of the recording light source, the focal length is λ fλ'--f...・・・・・・・・・・・・
・・・・・・・・・・・・(4) λ1 The relational expression for imaging corresponding to equation (2) is −1−=□
・・・・・・・・・・・・・・・・・・・・・(5)u
l v l fλ1 , but large aberrations also occur, making the arrangement impractical. The present invention attempts to solve these problems by forming a point image hologram shown in FIG. 2 on a spherical surface. For example, He-C
Even when recording with a 44'+-6A d laser and using this at a wavelength of 100A in the soft X-ray region, it is possible to provide a large Fresnel zone plate with sufficient aberration correction for practical use. .
(ホ)実施例
フレネルゾーンプレートから200mmの距離に波長λ
’ = 100 A点光源があって、これを200mm
(厳密には200.42949 □)の点に集光させる
場合について考える。(5)式において、U“−v1=
200 mmであるからfλ’=lOOmmである。(E) Example wavelength λ at a distance of 200 mm from the Fresnel zone plate
' = 100 There is a point light source A, which is 200mm
Let us consider the case where the light is focused on a point (strictly speaking, 200.42949 □). In equation (5), U“−v1=
Since it is 200 mm, fλ'=lOOmm.
いまこれを、He−cdレーザーの4416Xの波長で
作成しようとすれば(4)式からλ−4416Aにおけ
る焦点距離はf = 2.26449 mm L、だが
って、(1)式でu=3.89622mmとすれば、■
−5゜16785mmとなる。Now, if we try to create this using the 4416X wavelength of the He-cd laser, the focal length of λ-4416A from equation (4) is f = 2.26449 mm L, so in equation (1), u = 3. If it is .89622mm, ■
-5°16785mm.
第三図は、この記録条件を示す図であるがホログラム面
を、平面あるいは幾つかの球面にした場合の第四図に示
す条件におけるλ’=10OA の再生像は、第五図の
ような収差曲線を示す。この図でRfはプレート面の曲
率半径であり、士の符号はどちら向きの曲面であっても
結果は同じであることを意味する。また横軸はゾーンプ
レートの中心からの距離、縦軸は横収差量を示す。Figure 3 is a diagram showing this recording condition. When the hologram surface is a flat surface or several spherical surfaces, the reproduced image of λ' = 10OA under the conditions shown in Figure 4 is as shown in Figure 5. Aberration curves are shown. In this figure, Rf is the radius of curvature of the plate surface, and the sign of Rf means that the result is the same no matter which direction the curved surface faces. Further, the horizontal axis shows the distance from the center of the zone plate, and the vertical axis shows the amount of lateral aberration.
(へ)効 果
この第五図から明らかなように、記録光源の相対関係が
一定の場合はゾーンプレートを球面にすることによって
、著しい収差補正が可能なことが判る。(F) Effect As is clear from FIG. 5, when the relative relationship between the recording light sources is constant, it is possible to significantly correct aberrations by making the zone plate spherical.
本発明はこのようにλの波長で作成したフレネルゾーン
プレートをλ1の波長で用いるときに生ずる収差を、フ
レネルゾーンを曲面上に形成することによって大幅に改
良したことを特徴とするものである。The present invention is characterized in that the aberrations that occur when a Fresnel zone plate made at a wavelength of λ is used at a wavelength of λ1 are significantly improved by forming the Fresnel zone on a curved surface.
本実施例ではUまだはVに曲率中心をもつ球面が良い結
果を与えているが、勿論これに限定するものではなく、
また凸球面、凹球面倒れも可能である。In this example, a spherical surface with the center of curvature at U and V gives good results, but of course it is not limited to this.
It is also possible to have a convex spherical surface or a concave spherical surface.
第一図はフレネルゾーンプレートの原理を説明する模式
図、第二図Aは2光波の干渉によってフレネルゾーンプ
レートを作るときの光束及びプレートの関係を示す側面
図、第二図Bは同法により作られたフレネルゾーンプレ
ートの結像状態を説明する側面図、第3図は本発明の一
実施例のフレネルゾーンプレートを作成する場合の光束
及びグレートの関係を示す側面図、第4図は上記によシ
得られるゾーンプレートをX線に用いた場合の光源、像
点の位置関係を示す側面図、第5図は本発明の効果を示
す収差曲線である。
P・・・プレート、0・・・光源、■・・・収束点代理
人 弁理士 縣 浩 介
7−Figure 1 is a schematic diagram explaining the principle of a Fresnel zone plate, Figure 2 A is a side view showing the relationship between the light flux and the plate when creating a Fresnel zone plate by interference of two light waves, and Figure 2 B is a schematic diagram explaining the principle of a Fresnel zone plate. FIG. 3 is a side view illustrating the image formation state of the Fresnel zone plate produced, FIG. 3 is a side view illustrating the relationship between the luminous flux and the grating when producing a Fresnel zone plate according to an embodiment of the present invention, and FIG. 4 is the above-mentioned FIG. 5 is a side view showing the positional relationship between a light source and an image point when the resulting zone plate is used for X-rays, and FIG. 5 is an aberration curve showing the effects of the present invention. P... Plate, 0... Light source, ■... Convergence point agent Patent attorney Hiroshi Agata 7-
Claims (1)
する曲面上に形成される同心円干渉縞を同曲面上に記録
したフレネルゾーンプレート。A Fresnel zone plate that records concentric interference fringes formed on a curved surface with the same axis as the axis of rotational symmetry by the interference of three beams on the same axis.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP13994583A JPS6031101A (en) | 1983-07-29 | 1983-07-29 | X-ray imaging element |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP13994583A JPS6031101A (en) | 1983-07-29 | 1983-07-29 | X-ray imaging element |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| JPS6031101A true JPS6031101A (en) | 1985-02-16 |
| JPH0560080B2 JPH0560080B2 (en) | 1993-09-01 |
Family
ID=15257333
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP13994583A Granted JPS6031101A (en) | 1983-07-29 | 1983-07-29 | X-ray imaging element |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JPS6031101A (en) |
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US5383561A (en) * | 1992-12-29 | 1995-01-24 | Ishida Co., Ltd. | Weight checker-sorter |
| CN113267889A (en) * | 2021-06-08 | 2021-08-17 | 中国科学院长春光学精密机械与物理研究所 | Secondary phase off-axis Fresnel zone plate design method |
Citations (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPS6026905A (en) * | 1983-07-25 | 1985-02-09 | Hitachi Ltd | spherical hologram lens |
-
1983
- 1983-07-29 JP JP13994583A patent/JPS6031101A/en active Granted
Patent Citations (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPS6026905A (en) * | 1983-07-25 | 1985-02-09 | Hitachi Ltd | spherical hologram lens |
Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US5383561A (en) * | 1992-12-29 | 1995-01-24 | Ishida Co., Ltd. | Weight checker-sorter |
| CN113267889A (en) * | 2021-06-08 | 2021-08-17 | 中国科学院长春光学精密机械与物理研究所 | Secondary phase off-axis Fresnel zone plate design method |
| CN113267889B (en) * | 2021-06-08 | 2024-05-24 | 中国科学院长春光学精密机械与物理研究所 | A design method for off-axis Fresnel zone plates with secondary phase |
Also Published As
| Publication number | Publication date |
|---|---|
| JPH0560080B2 (en) | 1993-09-01 |
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