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Главная ICHMT DL Текущий год Архив Исполнительный Комитет ICHMT

Pattern equation method based on Wilcox representation

DOI: 10.1615/ICHMT.2007.ConfElectromagLigScat.550
pages 209-212

N. I. Smirnova
Moscow Technical University of Communication and Informatics, Aviamotornaya Street 8A, 111024, Moscow, Russian Federation

A. G. Kyurkchan
Moscow Technical University of Communications and Informatics, Aviamotornaya, 8A, 111024, Moscow, Russia


The variant of the pattern equation method, based on representation of a wave field by Atkinson-Wilcox expansion, is proposed for the solution of wave diffraction problem on compact scatterers. The basic integral-operator equation of the method is deduced and it's algebraization is obtained. Limitations on scatterer geometry, at which algebraic system can be resolved by a reduction method, are established. The analytical solution of plane wave diffraction problem on a sphere is obtained and it is shown, that it merges into the known classical solution at some special value of one of the method parameters. The suggested approach is illustrated by numerical example.

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