Scattering of a spheroidal particle illuminated by a gaussian beam.

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.

[1]  Gérard Gouesbet,et al.  VALIDITY OF THE LOCALIZED APPROXIMATION FOR ARBITRARY SHAPED BEAMS IN THE GENERALIZED LORENZ-MIE THEORY FOR SPHERES , 1999 .

[2]  Gérard Gouesbet,et al.  Rigorous justification of the localized approximation to the beam-shape coefficients in generalized Lorenz–Mie theory. I. On-axis beams , 1994 .

[3]  A. Doicu,et al.  Computation of the beam-shape coefficients in the generalized Lorenz-Mie theory by using the translational addition theorem for spherical vector wave functions. , 1997, Applied optics.

[4]  D. Hodge.  Eigenvalues and Eigenfunctions of the Spheroidal Wave Equation , 1970 .

[5]  B. P. Sinha,et al.  Electromagnetic plane wave scattering by a system of two parallel conducting prolate spheroids , 1983 .

[6]  Gérard Gréhan,et al.  A concise presentation of the generalized Lorenz-Mie theory for arbitrary location of the scatterer in an arbitrary incident profile , 1988 .

[7]  J. P. Barton,et al.  Internal and near-surface electromagnetic fields for a spheroidal particle with arbitrary illumination. , 1995, Applied optics.

[8]  J J Stamnes,et al.  Scattering of electromagnetic waves by spheroidal particles: a novel approach exploiting the T matrix computed in spheroidal coordinates. , 1998, Applied optics.

[9]  Gérard Gréhan,et al.  Light scattering from a sphere arbitrarily located in a Gaussian beam, using a Bromwich formulation , 1988 .

[10]  S. Asano,et al.  Light scattering by randomly oriented spheroidal particles. , 1980, Applied optics.

[11]  S. Asano,et al.  Light scattering by a spheroidal particle. , 1975, Applied optics.

[12]  G Gouesbet,et al.  Scattering of laser beams by Mie scatter centers: numerical results using a localized approximation. , 1986, Applied optics.

[13]  G. Gouesbet,et al.  Computations of the g(n) coefficients in the generalized Lorenz-Mie theory using three different methods. , 1988, Applied optics.

[14]  S. Asano,et al.  Light scattering properties of spheroidal particles. , 1979, Applied optics.

[15]  L. W. Davis,et al.  Theory of electromagnetic beams , 1979 .

[16]  B. P. Sinha,et al.  Electromagnetic plane wave scattering by a system of two uniformly lossy dielectric prolate spheroids in arbitrary orientation , 1995 .

[17]  P. Barber,et al.  Information content of the scattering matrix for spheroidal particles. , 1985, Applied optics.