Abstract

On the basis of the fact that a hard-edged aperture function can be expressed as finite matrices with different weighting coefficients, we obtain the analytical formula for the propagation of the broadband Gaussian Schell- model (BGSM) beam through the apertured fractional Fourier transformation (AFrFT) system. It is shown by numerical examples that the intensity distribution in the plane of a small fractional order is obviously influenced by the bandwidth when the BGSM beams propagate through the AFrFT system. Further extensions are also pointed out.

© 2011 Optical Society of America

Propagation of Bessel–Gaussian beams through a double-apertured fractional Fourier transform optical system

Bin Tang, Chun Jiang, and Haibin Zhu
J. Opt. Soc. Am. A 29(8) 1728-1733 (2012)

Propagation of Laguerre–Gaussian and elegant Laguerre–Gaussian beams in apertured fractional Hankel transform systems

Zhangrong Mei and Daomu Zhao
J. Opt. Soc. Am. A 21(12) 2375-2381 (2004)

Experimental observation of truncated fractional Fourier transform for a partially coherent Gaussian Schell-model beam

Fei Wang, Yangjian Cai, and Qiang Lin
J. Opt. Soc. Am. A 25(8) 2001-2010 (2008)

Fractional Fourier transform for partially coherent off-axis Gaussian Schell-model beam

Chongwei Zheng
J. Opt. Soc. Am. A 23(9) 2161-2165 (2006)

Fractional Fourier transform of truncated elliptical Gaussian beams

Xinyue Du and Daomu Zhao
Appl. Opt. 45(36) 9049-9052 (2006)