Beam shape coefficients and scattering

of zeroth order Mathieu beam by homogeneous sphere


A. Chafiq1, H. Nebdi2, A. Belafhal2*

1  CRMFE de Safi, 46000, Safi, Morocco

2  Laboratoire de Physique Nucléaire, Atomique et Moléculaire,

Département de Physique, Faculté des Sciences, Université Chouaïb Doukkali

B.P. 20, El Jadida 24000, Morocco

* Corresponding author. E-mail:

Received: 02 March 2014; revised version accepted: 11 July 2014



     In this paper, we use the integral localized approximation for computing the beam shape coefficients (BSCs) for Mathieu beams. These coefficients are of great interest in the description of beams in the generalized Lorenz-Mie theory. The BSCs are used in the calculation of the scattered field components by homogeneous sphere. For sake of the simplicity, we use the BSCs in calculating the far-field components of scattered Mathieu beams. All through this work, the effects of various parameters on the scattered intensity are analysed numerically.


Keywords: Beam shape coefficients; Scattering; Mathieu beams; Integral localized approximation; Generalized Lorenz-Mie theory.


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