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Electromagnetic scattering by spheroidal objects with impedance boundary conditions at axial incidence
Author(s) -
Sebak A.,
Shafai L.
Publication year - 1988
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs023i006p01048
Subject(s) - scattering , electrical impedance , boundary value problem , plane wave , physics , plane (geometry) , mathematical analysis , electromagnetic field , cross section (physics) , electromagnetic radiation , prolate spheroid , magnetic field , mathematics , classical mechanics , optics , geometry , quantum mechanics
An analytic solution of a plane electromagnetic wave scattering by coated and impedance prolate spheroidal bodies is obtained, for axial incidence, by expanding the incident and scattered fields in terms of prolate spheroidal vector wave functions. The unknown expansion coefficients are determined by a doubly infinite system of equations derived using the impedance boundary condition, which relates the tangential components of the electric field to those of the magnetic field through an effective surface impedance of the coating. To solve for the unknown coefficients, the system of equations is truncated by retaining only the first N equations in N unknowns, where N depends on the size of the body and the desired accuracy. Numerical results for the scattering cross section are presented to show the effect of different coatings on the magnitude of the scattered field.