analysis of the scattering far-field

of a nondiffracting parabolic beam by a rigid sphere

 

A. Belafhal1*, L. Ez-zariy1, A. Chafiq2, H. Nebdi3

1 Laboratoire de Physique Nucléaire, Atomique et Moléculaire

Département de Physique, Faculté des Sciences, Université Chouaïb Doukkali, B. P 20, 24000 El Jadida, Morocco

2 CPR Mohammed V, 4600 Safi, Morocco

3 Physics Department, College of Applied Sciences, Umm Al-Qura University,

P.O. Box : 715 , Makkah 21955, Saudi Arabia. E-mail: hbnebdi@uqu.edu.sa

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

Received: 22 March 2011; revised version accepted: 23 July 2011

 

Abstract

     The purpose of this paper is to provide a complete, rigorous and detailed analysis of the scattering far-field of a nondiffracting parabolic beam by a rigid sphere centered along the propagation axis of this beam. By use of a partial wave series involving the scattering polar angle relative to the beam axis, the half-cone angle of the wave vector components of the parabolic beam, and the azimuthal angle, we evaluate the far-field scattering distribution. We also illustrate the obtained results with some numerical calculations.

 

Keywords: Parabolic beams; Light scattering; Function form; Rigid sphere.

© 2015