Indexed on: 23 Jun '16Published on: 22 Jun '16Published in: Journal of Quantitative Spectroscopy & Radiative Transfer
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.
Indexed on: 25 Feb '10
Published on: 25 Feb '10 in IEEE transactions on ultrasonics, ferroelectrics, and frequency control
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