THE ENERGY FUNCTIONALS FOR ANISOTROPIC SCATTERING

Scattering theory for anisotropic media is a useful but mathematically very demanding subject. Previous work on scalar scattering in anisotropic media is presently extended to cover the effects of anisotropy on the energy functionals. So, using the fundamental solution, the integral representations,...

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Bibliographic Details
Published inMathematical Methods In Scattering Theory And Biomedical Engineering pp. 31 - 38
Main Authors DASSIOS, G., KARADIMA, K. S.
Format Book Chapter
LanguageEnglish
Published WORLD SCIENTIFIC 01.08.2006
Subjects
Scattering Theory
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ISBN9812568603
9812773193
9789812773197
9789814477598
9814477591
9789812568601
DOI10.1142/9789812773197_0004

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Summary:Scattering theory for anisotropic media is a useful but mathematically very demanding subject. Previous work on scalar scattering in anisotropic media is presently extended to cover the effects of anisotropy on the energy functionals. So, using the fundamental solution, the integral representations, the modified radiation condition and the scattering amplitude, we generate the differential scattering cross-section, the absorption cross-section, the scattering cross-section and furthermore, is explored their interconnection. It is moreover interesting to see that all characteristics of the anisotropic medium are carried by a particular redirected gradient operator, which appears naturally whenever any kind of anisotropy is present.
ISBN:9812568603
9812773193
9789812773197
9789814477598
9814477591
9789812568601
DOI:10.1142/9789812773197_0004