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J Opt Soc Am A Opt Image Sci Vis. 2001 Jun;18(6):1252-6.

Fractional Talbot field and of finite gratings: compact analytical formulation.

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  • 1Instituto Nacional de Astrofísica, Optica y Electrónica, Puebla, México. arrizon@inaoep.mx


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.

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