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Time domain Born approximation to the far‐field scattering of plane electromagnetic waves by a penetrable object
Author(s) -
Quak Dirk,
Hoop Adrianus T.
Publication year - 1986
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/rs021i005p00815
Subject(s) - scattering , plane wave , physics , mathematical analysis , inverse scattering problem , isotropy , scattering amplitude , near and far field , codes for electromagnetic scattering by cylinders , born approximation , bounded function , scattering theory , electromagnetic radiation , mathematics , classical mechanics , optics
The low‐contrast or (first‐order) Born approximation is applied to the time domain scattering of a plane electromagnetic wave by a penetrable object of bounded extent, embedded in an isotropic and homogeneous medium. Closed‐form analytic expressions are obtained for the spherical wave far‐field scattering amplitude related to homogeneous objects of the following shapes: an ellipsoid, an elliptic cone of finite height, an elliptic cylinder of finite height, and a tetrahedron. Relaxation effects and anisotropy of the scattering object are included. The results are, among others, useful as test cases for time domain inverse scattering algorithms.