کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1537486 | 996588 | 2011 | 6 صفحه PDF | دانلود رایگان |

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 ϕ. The geometrical properties of the scattering Mathieu beam are noted.
Research Highlights
► The representation of Mathieu beams in terms of plane waves is used to derive an analytical formulation of the scattered field in our study.
► The expression of the far-field optical scattering is evaluated by using of a partial wave series.
► Numerical calculations show that the scattering field depends on: spatial propreties of Mathieu beams, radius of sphere and scattering angles.
Journal: Optics Communications - Volume 284, Issue 12, 1 June 2011, Pages 3030–3035