A theoretical study of the scattering
of non-diffracting beams by a rigid sphere.
X waves and helicoidal beams cases
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,
3 Physics Department, College of Applied Sciences, Umm
P.O. Box : 715 ,
* Corresponding author. E-mail: firstname.lastname@example.org
Received: 20 August 2011; revised version accepted: 02 November 2011
An exact analytical solution for the scattering of a non-diffracting beams by a rigid sphere placed on their axis is derived. From our generalized formula, the form functions for scattering by X waves and helicoidal beams are deduced as particular cases. Some examples are given for X waves to show the effect of varying the scattering angle
Keywords: Scattering; Non-diffracting beams; X waves; Helicoidal beams; Rigid sphere.