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A study of propagation of cosh-squared-Gaussian beam through fractional Fourier transform systems

Hashemi S. S., Ghavami S. S., Soltanolkotabi M., Branch F.

Optica Applicata

2011

Vol. 41, nr 4

897--909

In this paper, we consider properties of cosh-squared-Gaussian beam passing through ideal and apertured fractional Fourier transforms (FRFT) systems. We use Collins integral formula and the fact that a hard aperture function can be expanded into a finite sum of complex Gaussian functions. These studies indicate that the normalized intensity distributions with FRFT order are periodic. The variation period is 2 and is independent of the impact of aperture.