Electromagnetic scattering by systems of arbitrarily oriented spheroids
Abstract
An exact solution is obtained for the problem of scattering of electromagnetic waves by spheroids of arbitrary orientation. The solution is obtained in general by expanding the incident, scattered, and transmitted electromagnetic fields in terms of appropriate vector spheroidal eigenfunctions. The excitation is a monochromatic uniform plane electromagnetic wave of arbitrary polarization and angle of incidence. The boundary conditions at the surface of a given spheroid are imposed by using the rotational translational addition theorems for vector spheroidal wave functions which transfer the outgoing waves from all the other spheroids as incoming waves to the spheroid under consideration. Imposing the boundary conditions at the surfaces of each of n spheroids leads to a set of algebraic equations, the solution of which can be expressed in matrix form. It is possible to evaluate the unknown transmitted and scattered field expansion coefficients for a new direction of incidence and for a different polarization without repeatedly solving a new set of equations. Numerical results are presented for the bistatic and backscattering cross sections for two prolate spheroids. An analytic solution to the problem of electromagnetic coupling between two spheroidal dipole antennas in an arbitrary configuration is also obtained.
 Publication:

Ph.D. Thesis
 Pub Date:
 May 1990
 Bibcode:
 1990PhDT........65C
 Keywords:

 Electromagnetic Scattering;
 Prolate Spheroids;
 Dipole Antennas;
 Matrices (Mathematics);
 Wave Functions;
 Communications and Radar