Lens-based theory of the Lau effect

被引:0
作者
Kolodziejczyk, Andrzej [1 ,2 ]
Jaroszewicz, Zbigniew [3 ,4 ]
Henao, Rodrigo [1 ]
机构
[1] Departamento de Fisica, Universidad de Antioquia, Apartado aereo 1226, Medellín, Colombia
[2] Institute of Physics, Warsaw University of Technology, Koszykowa 75, 00-662 Warsaw, Poland
[3] Facultad de Ciencias, Univ. Nacional sede Medellín, Apartado aereo 3840, Medellín, Colombia
[4] Institute of Applied Optics, Kamionkowska 18, 03-805 Warsaw, Poland
来源
Journal of the Optical Society of America A: Optics and Image Science, and Vision | 2000年 / 17卷 / 04期
关键词
Convolution - Diffraction gratings - Image analysis - Opacity - Optical transfer function;
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摘要
A new theoretical model of the Lau effect is presented. The transmittance of a diffraction grating can be expressed in an equivalent form as the sum of transmittances of thin cylindrical lenses. Therefore it is possible to explain the Lau effect on the basis of the well-known imaging properties of lenses. According to the given approach, the Lau fringes are created by overlapped images of the first grating that are formed by a set of lenses corresponding to the second grating in the setup. The theory leads to an exhaustive description of the Lau-effect parameters. In particular, one can indicate the shape of the Lau fringes and localize planes of the fringes dependent on the axial distance between gratings and their periods. © 2000 Optical Society of America.
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页码:724 / 728
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