TRANSFORMATION OF MQBG BEAM

BY AN ANNULAR APERTURED ABCD OPTICAL SYSTEM

 

S. Hennani1,2, S. Barmaki2, L. Ez-zariy 1, H. Nebdi1, A. Belafhal1*

1 Laboratoire de Physique Nucléaire, Atomique et Moléculaire,

Département de Physique, Faculté des Sciences, Université Chouaïb Doukkali

B.P. 20, El Jadida 24000, Morocco

2 Laboratoire de Physique Computationnelle et Photonique

Secteur des Sciences, Université de Moncton-campus de Shippagan,

Shippagan, New-Brunswick, E8S 1P6, Canada

* Corresponding author. E-mail:  belafhal@gmail.com

Received: 04 January 2013; revised version accepted: 21 June 2013

 

Abstract

     By using the Collins integral formula and the expanding of a hard aperture function into a finite sum of complex Gaussian terms, a closed-form expression for transformation of Modified Bessel beam of quadratic radial dependence (MQBG beam) by a paraxial ABCD optical system with annular aperture is etablished in this paper. An approximate analytical expression of a diffracted MQBG beam through a circular apertured ABCD optical system is deduced as particular case of the main result. Some numerical simulations are given for studying the response of the laser beam influenced by the propagation distance and the annular aperture sizes.

 

Keywords: Hypergeometric Gauss beams; MQBG beams; ABCD optical system; annular aperture; Huygens- Fresnel diffraction integral.

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