Scattering of Mathieu beams by a rigid sphere |
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Authors: | A Belafhal A Chafiq Z Hricha |
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Institution: | Laboratoire de Physique Nucléaire, Atomique et Moléculaire, Département de Physique, Faculté des Sciences, Université Chouaïb Doukkali, B. P 20, 24000 El Jadida, Morocco |
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Abstract: | Based on the recent results on the scattering of Bessel beams by a sphere and using the Whittaker integral, the scattering by a rigid sphere centred on a Mathieu beam is derived. The scattering field is expressed as a partial wave series involving the scattering angles relative to the beam axis and Mathieu beam parameters. Some numerical calculations are performed and it is shown that the illumination of a rigid sphere by a Mathieu beam produces asymmetrical scattering as a function of scattering angles θ and ?. The geometrical properties of the scattering Mathieu beam are noted. |
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Keywords: | Mathieu beams Light scattering Rigid sphere |
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