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Variational divergence in wave scattering theory with Kirchhoffean trial functionsIn a recent study of variational improvement of the Kirchhoff approximation for electromagnetic scattering by rough surfaces, a key ingredient in the variational principle was found to diverge for important configurations (e.g., backscatter) if the polarization had any vertical component. The cause and a cure of this divergence are discussed here. The divergence is demonstrated to occur for arbitrary perfectly conducting scatterers and its universal characterstics are determined, by means of a general divergence criterion that is derived. A variational cure for the divergence is prescribed, and it is tested successfully on a standard scattering model.
Document ID
19870040886
Document Type
Reprint (Version printed in journal)
Authors
Bird, J. F. (Johns Hopkins University Laurel, MD, United States)
Date Acquired
August 13, 2013
Publication Date
December 1, 1986
Publication Information
Publication: Optical Society of America, Journal, A: Optics and Image Science
Volume: 3
ISSN: 0740-3232
Subject Category
PHYSICS (GENERAL)
Funding Number(s)
CONTRACT_GRANT: N00024-85-C-5301
CONTRACT_GRANT: NAGW-574
Distribution Limits
Public
Copyright
Other