Electromagnetic scattering by a system of two parallel uniformly lossy dielectric prolate spheroids

Abstract

By means of modal series expansions of electromagnetic fields in terms of prolate spheroidal vector wave functions, an exact solution is obtained for the electromagnetic plane wave scattering by a system of two parallel uniformly lossy dielectric prolate spheroids. The incident excitation is a monochromatic plane electromagnetic wave of arbitrary polarization and angle of incidence. Translational Addition Theorems for spheroidal vector wave functions are employed in order to transform the outgoing wave from one spheroid into the incoming wave at the other spheroid. Application of appropriate boundary conditions gives 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 incident field expansion coefficients and the system matrix which is independent of the direction and polarization of the incident wave. Numerical results in the form of curves for normalized bistatic and monostatic radar cross sections are given for a variety of parallel two-body system of uniformly lossy dielectric prolate spheroids and different values of distances of separation. >