Electromagnetic scattering by dielectric prolate spheroids

Cooray, M. Francis R. (1986) Electromagnetic scattering by dielectric prolate spheroids. Masters thesis, Memorial University of Newfoundland.

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Abstract

Exact solutions are obtained for scattering of a monochromatic plane electromagnetic wave of arbitrary polarization and angle of incidence by a single dielectric prolate spheroid and a system of two dielectric prolate spheroids in parallel configuration. Modal series expansions of electromagnet fields in terms of normalized prolate spheroidal vector wave functions are used to obtain these solutions. The prolate spheroids are composed of homogeneous and perfect dielectric material, and are assumed to be embedded in a non-lossy infinite homogeneous and isotropic medium which contains the incident place electromagnetic wave. The medium and the scatterers are all assumed to be non-ferromagnetic (magnetic permeabilities of the material of each spheroid and that of the medium assumed to be approximately equal to the permeability of free space) with no free charge in any region. -- The field solution gives the unknown coefficients in the series expansions of the scattered and transmitted fields, in terms of the known coefficients in the series expansion of the incident field by means of a matrix transformation, in which the system matrix depends only on the scatterer ensemble. This eliminates the necessity for repeatedly solving a new set of simultaneous equations to obtain the unknown expansion field coefficients for a new direction of incidence. Numerical results are given as curves of bi-static and back-scattering cross-sections for a variety of prolate spheroids composed of dielectric materials of different refractive indices. Moreover, for two body scattering, different parallel configurations and mutual separations of the two spheroids are also considered.

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