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Periodic wavelet expansions for analysis of scattering from metallic cylinders
Author(s) -
Steinberg B. Z.,
Leviatan Y.
Publication year - 1994
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.4650070604
Subject(s) - wavelet , scattering , mathematical analysis , method of moments (probability theory) , mathematics , galerkin method , cylinder , moment (physics) , basis (linear algebra) , extension (predicate logic) , matrix (chemical analysis) , cross section (physics) , basis function , geometry , physics , optics , classical mechanics , materials science , computer science , quantum mechanics , statistics , nonlinear system , artificial intelligence , estimator , composite material , programming language
The recent application of wavelet transforms in method‐of‐moments solutions for scattering problems is extended to cases involving metallic cylinders whose periphery contain a variety of length scale features ranging from smoothly varying large‐scale features to rapidly varying small‐scale ones. The basic idea is to first consider a periodic extension of the equivalent current in the arc‐length variable with a period identical to the scatterer circumference, and then to expand this representation, using a set of periodic wavelets derived from a conventional basis of wavelets by a periodic extension. Using a Galerkin method and subsequently applying a threshold procedure, a substantial reduction in the number of elements of the moment‐method matrix is attained without virtually affecting the solution accuracy. The proposed extension is illustrated by a numerical study of TM (transverse magnetic) scattering from a cylinder of elliptic cross section. © 1994 John Wiley & Sons, Inc.