An exact analytic solution is presented, by using the method of separation of variables, to the problem of electromagnetic wave scattering by an optically active (chiral) spheroid. Fields outside as well as inside the spheroid are expanded in terms of vector spheroidal eigenfunctions, and a set of simultaneous linear equations is obtained by imposing boundary conditions on the surface of the spheroid. Solution of these equations results in the unknown coefficients in the series expansions of the associated fields. The behavior of the scattered fields is illustrated by plots of scattering cross sections for both prolate and oblate spheroids of different sizes and materials in the resonance region.
The method of separation of variables is used to derive an analytic solution to the problem of electromagnetic scattering by a homogeneous dielectric spheroid with a confocal lossy dielectric coating of arbitrary thickness. The electric and magnetic fields in each different region are expressed in terms of a set of vector spheroidal eigenfunctions, and the solution is obtained by imposing the appropriate boundary conditions at each spheroidal surface. Computed results illustrate the dependence of the scattered field in the far zone on the coating material and its thickness, the size and the material of the spheroid, and on the angle of incidence.
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