Quantcast

A study of nondiffracting Lommel beams propagating in a medium containing spherical scatterers

Research paper by A. Belafhal, L. Ez-zariy, Z. Hricha

Indexed on: 23 Jun '16Published on: 22 Jun '16Published in: Journal of Quantitative Spectroscopy & Radiative Transfer



Abstract

By means of the expansion of the nondiffracting beams on plane waves with help of the Whittaker integral, an exact analytical expression of the far-field form function of the scattering of the acoustic and optical nondiffracting Lommel beams propagating in a medium containing spherical particles, considered as rigid and single spheres, is investigated in this work. The form function of the scattering of the high order Bessel beam by a rigid and isolated sphere is deduced, from our finding, as a special case. The effects of the wave number-sphere radius product(ka)(ka), the polar angle (ϕ)(ϕ), the propagation half-cone angle (β)(β) and the scattering angle (θ)(θ) on the far-field form function of the scattered wave have been analyzed and discussed numerically. The numerical results show that the illumination of a rigid sphere by Lommel beams produces asymmetrical scattering.