Image produced by MQBG beams propagating

through a fractional Fourier transform system

with two hard-edged apertures


S. Hennani, H. Nebdi, A. Belafhal*

Laboratoire de Physique Nucléaire, Atomique et Moléculaire,

Département de Physique, Faculté des Sciences, Université Chouaïb Doukkali

B.P. 20, El Jadida 24000, Morocco

* Corresponding author. E-mail:

Received: 18 February 2013; revised version accepted: 20 October 2013



     In this paper, we  investigate a detailed study of the optical image produced by MQBG beams propagating through a Fractional Fourier Transform system (FFT) with two circular apertures. The approximate analytical formula of the MQBG intensity distribution was derived by using the extended Huygens-Fresnel principle and the expansion of the hard-edged circular aperture function. Some numerical simulations are illustrated to the effects of a FFT optical system on the propagation of MQBG beams. The simulations show that the order of the Fractional Fourier Transform and the beam parameters change the field distribution.


Keywords: MQBG Beams; Fractional Fourier Transform; Propagation properties.

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