Propagation of Modified Bessel-modulated Gaussian beams
with quadratic radial dependence
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
* Corresponding author. E-mail: firstname.lastname@example.org
Received: 20 November 2011; revised version accepted: 25 December 2011
Using a suitable angular spectrum function and based on the Collins diffraction integral, the propagation property of Modified Bessel-modulated Gaussian beams with quadratic radial dependence is studied. It’s shown that the closed-form expressions of these beams passing through a paraxial ABCD optical system can be written in terms of the Humbert’s confluent hypergeometric function of two variables. Our results are illustrated with some numerical examples.
Keywords: Modified Bessel-modulated Gaussian beams; Collins diffraction integral; ABCD optical system.