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, Safi ,46000, Morocco

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

P.O. Box : 715 , Makkah 21955, Saudi Arabia

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

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 . The scattering field is investigated also versus the wavenumber-radius product (ka) as well as the polar angle  and half-cone angle .


Keywords:  Scattering; Non-diffracting beams; X waves; Helicoidal beams; Rigid sphere.

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