Rojo-Velázquez, G.: Fractional Talbot field of finite gratings: compact analytical formulation. J. Opt. Soc. Am. A 18, 1252-1255
We present a compact analytical formulation for the fractional Talbot effect at the paraxial domain of a finite grating. Our results show that laterally shifted distorted images of the grating basic cell form the Fresnel field at a fractional Talbot plane of the grating. Our formulas give the positions of those images and show that they are given by the convolution of the nondistorted cells (modulated by a quadratic phase factor) with the Fourier transform of the finite-grating pupil. (C) 2001 Optical Society of America.
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