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Spectral‐ and spatial‐domain filtering and sampling approach to the numerical solution of electromagnetic scattering problems
Author(s) -
Veeken R. W. C.
Publication year - 1987
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/rs022i006p00935
Subject(s) - scattering , mathematics , residual , sampling (signal processing) , domain (mathematical analysis) , electromagnetic field , electromagnetic radiation , mathematical analysis , near and far field , algorithm , optics , physics , quantum mechanics , detector
A new systematic approach is developed for the numerical treatment of electromagnetic scattering problems. It employs a filtering and sampling procedure that is applied, alternately, to the spectral domain and the spatial‐domain electromagnetic field representations. The resulting linear algebraic problem is solved by minimizing, iteratively, the root‐mean‐square value of the residual. Numerical results are obtained for the scattering by inhomogeneous, penetrable objects in one, two and three dimensions.