Abstract
An approach to expanding a Gaussian beam in terms of the spheroidal wave functions in spheroidal coordinates is presented. The beam-shape coefficients of the Gaussian beam in spheroidal coordinates can be computed conveniently by use of the known expression for beam-shape coefficients, g n, in spherical coordinates. The unknown expansion coefficients of scattered and internal electromagnetic fields are determined by a system of equations derived from the boundary conditions for continuity of the tangential components of the electric and magnetic vectors across the surface of the spheroid. A solution to the problem of scattering of a Gaussian beam by a homogeneous prolate (or oblate) spheroidal particle is obtained. The numerical values of the expansion coefficients and the scattered intensity distribution for incidence of an on-axis Gaussian beam are given.
© 2001 Optical Society of America
Full Article | PDF ArticleMore Like This
Shoji Asano and Giichi Yamamoto
Appl. Opt. 14(1) 29-49 (1975)
Huayong Zhang and Yufa Sun
J. Opt. Soc. Am. B 27(5) 883-887 (2010)
Yingping Han, Gerard Gréhan, and Gerard Gouesbet
Appl. Opt. 42(33) 6621-6629 (2003)