1 October 1991 Generalized Talbot effect
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Self-imaging phenomena still exist when a plane grating is illuminated by a monochromatic arbitrary wavefield. The surfaces of the self images are curved, the curvature is determined by the second partial derivatives of wavefront functions. The larger the distance between the grating and a self image the more curved the surface is. The fringe density in self images is affected by the first partial derivatives of wavefront functions. Wavefront functions must satisfy some conditions so that self-images appear.
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Hai-Ling Wang, Peng Cheng Miao, Dapeng Yan, Xiao-Wu Ni, and Anzhi He "Generalized Talbot effect", Proc. SPIE 1545, International Conference on the Application and Theory of Periodic Structures, (1 October 1991); doi: 10.1117/12.49426; https://doi.org/10.1117/12.49426

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