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Asymptotic expansions of multiply scattered surface currents
Author(s) -
Ecevit Fatih
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700024
Subject(s) - scattering , scalar (mathematics) , surface (topology) , physics , rotation (mathematics) , convergence (economics) , reflection (computer programming) , mathematical analysis , optics , classical mechanics , mathematics , geometry , computer science , economics , programming language , economic growth
We have recently uncovered the convergence characteristics of multiple scattering iterations for “two‐dimensional” as well as “three‐dimensional scalar (acoustics)” scattering models in the high‐frequency regime. As we have demonstrated, a most distinctive property of these latermodels, compared to their two‐dimensional counterparts, is the dependence of corresponding asymptotic expansions on the relative angle of rotation between the principal axes of the successive reflection points of the optical rays. Concerning the case of fully “three‐dimensional vector (electromagnetic)” scattering problems, here we show that the vectorial nature of the problem, in turn, gives rise to new additional complex structure. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)