Fresnel diffraction calculation through the fast fractional Fourier transform

David Mas; Carlos Ferreira; Javier Garcia

doi:10.1117/12.308852

22 May 1998 Fresnel diffraction calculation through the fast fractional Fourier transform

David Mas, Carlos Ferreira, Javier Garcia

Proceedings Volume 3490, Optics in Computing '98; (1998) https://doi.org/10.1117/12.308852
Event: Optics in Computing '98, 1998, Bruges, Belgium

Abstract

A new method for the calculation of the Fresnel diffraction patterns through a fast fractional Fourier transform (FRT) is presented. The FRT can be efficiently calculated for any order by using the fast-Fourier transform algorithm. The resemblances between the FRT and the Fresnel integrals allow the use of that algorithm to calculate efficiently the Fresnel integral of any object, with independence of its shape.

Citation Download Citation

David Mas, Carlos Ferreira, and Javier Garcia "Fresnel diffraction calculation through the fast fractional Fourier transform", Proc. SPIE 3490, Optics in Computing '98, (22 May 1998); https://doi.org/10.1117/12.308852

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