Electromagnetic plane wave scattering by uniformly lossy dielectric prolate spheroids

Nag, Soumya (1994) Electromagnetic plane wave scattering by uniformly lossy dielectric prolate spheroids. Masters thesis, Memorial University of Newfoundland.

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Abstract

Using modal series expansions of electromagnetic fields in terms of prolate spheroidal vector wave functions, an exact solution is obtained for the scattering by: (a) a single uniformly lossy dielectric prolate spheroid, (b) a system of two uniformly lossy dielectric prolate spheroids in arbitrary orientation, and (c) as an important special case a system of two uniformly lossy dielectric prolate spheroids in parallel configuration embedded in free space. In all the above cases, the excitation being a monochromatic plane electromagnetic wave of arbitrary polarization and angle of incidence. Since the dielectric materials of the scatterers are of complex relative permittivities, complex eigenvalues are evaluated for the spheroidal scalar wave functions of transmitted components of E-field and H-field expansions. Rotational-Translational Addition Theorems and Translational Addition Theorems for spheroidal vector wave functions are used to study the scattering by a system of two spheroids in arbitrary configuration and as a special case by a system of two spheroids in parallel configuration respectively. These theorems are used to transform the outgoing wave from one spheroid into the incoming wave at the other spheroid. The field solution determines the column vector of the unknown coefficients of the series expansions of the scattered and transmitted fields expressed in terms of the column vector of the known coefficients of the series expansions of the incident field and the system matrix which is independent of the direction and polarization of the incident wave. Numerical results in the form of plots for normalized bistatic and monostatic radar cross sections are given for a variety of uniformly lossy dielectric prolate spheroids with resonant or near resonant lengths. Also for two-body scattering, different arbitrary configurations including parallel configurations of the spheroids at different distances of separation have been considered.

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