True beam smoothing in the fractional Fourier transform domain

Author: Qiaoffeng Tan   Yingbai Yan   Guofan Jin   Duanyi Xu  

Publisher: Taylor & Francis Ltd

ISSN: 1362-3044

Source: Journal of Modern Optics, Vol.50, Iss.14, 2003-09, pp. : 2147-2153

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Abstract

The design of a diffractive optical element (DOE) for true beam smoothing in the fractional Fourier transform domain is described. Based on the Fresnel integrals, the intensity distribution on the output plane is calculated accurately and the discretization error of the spherical phase factor is avoided. The 'fine design' of the DOE for true beam smoothing is completed with the sampling interval chosen as half of the traditional sampling interval. Simulation results show that the intensity at any point on the output plane fully meets the required demands, not just those sampling points used in the optimization.