Bistatic Scattering and Backscattering of Electromagnetic Waves by Conducting and Coated Dielectric Spheroids: A New Analysis Using Mathematica Package

Abstract

Abstract-Solutions to electromagnetic scattering at any angle of incidence by a perfectly conducting spheroid and a homogeneous dielectric spheroid coated with a dielectric layer are obtained by solving Maxwell's equations together with boundary conditions. The method used is that of expanding electric and magnetic fields in the spheroidal coordinates in terms of the spheroidal vector wave functions and matching their respective boundary conditions at spheroidal interfaces. In this formulation, the column vector of the series expansion coefficients of the scattered field is obtained from that of the incident field by means of a matrix transformation, which is in turn obtained from a system of equations derived from boundary conditions. The matrix depends only on the scatterer's properties; hence the scattered field at a different direction of incidence is obtained without repeatedly solving a new set of simultaneous equations. Different from the previous work, the present work developed an accurate and efficient Mathematica source code for more accurate solution to the problem. Normalized bistatic and backscattering cross sections are obtained for conducting (for verification purpose), homogeneous dielectric (for verification purpose), and coated dielectric prolate (for some new results) spheroids, with real and complex permittivities. Numerically exact results for the coated dielectric prolate spheroids are newly obtained and are not found in existing literature.

Depolarization and Polarization of Light Scattering by Dustlike Tropospheric Aerosols

“…The polarization state of a beam of light is traditionally described by a vector I = (I, Q, U, V ) T composed of four Stokes parameters (T means transpose) [14][15][16][17][18][19][20][21][22][23]. The first Stokes parameter, I, is the intensity, while the other three parameters describe the polarization state of the beam.…”

Electromagnetic radiation from a prolate spheroidal antenna enclosed in a confocal spheroidal radome

“…There is no program available for computing the radiation patterns of the prolate spheroidal antennas. Hence, this work also aims to develop a Mathematica package, capable of computing the radiation patterns of a prolate spheroidal antenna enclosed in a confocal radome of arbitrary thickness and dielectric constant, based on previous programs developed and modified by Li et al [8] and [9]. To the authors' best knowledge, there is no literature available so far for theoretically or numerically analyzing effects due to a spheroidal radome covering spheroidal antennas.…”

FDTD Analysis of an Anisotropically Coated Missile

“…We will limit ourselves here to consideration of the vectors N 1 and M 1 in the first relation in Eq. (5).…”

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