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Journal Radioengineering №10 for 2015 г.
Article in number:
Features of some numerical methods proposed for solution of the problems of wave scattering by compact obstacles and thin screens
Keywords: wave scattering method of auxiliary currents null field method continued boundary conditions pattern equations
Authors:
S.P. Skobelev - Dr. Sc. (Phys.-Math.), Leading Research Scientist, PJSC «Radiofizika», Associate Professor, Moscow Institute of Physics and Technology (State University) E-mail: s.p.skobelev@mail.ru
Abstract:
Some features of the method of auxiliary currents, null field method, method of continued boundary conditions, and method of pattern equations described in recently published book by A.G. Kyurkchan and N.I. Smirnova «Mathematical modeling in the theory of diffraction with using a priory information about analytical properties of solution», Moscow: Media Publisher, 2014, are considered. The consideration includes effectiveness of the theorem about enclosing the scattered field singularities in the method of auxiliary currents, validity of the theorem about enclosing the scattered field singularities in the null field method, efficiency of the method of continued boundary conditions on the basis of integral equations of the first kind for compact obstacles and thin screens, and efficiency of the method of continued boundary conditions on the basis of integral equations of the second kind for compact obstacles. It is shown that latter method applied to thin screens gives erroneous solutions. The straight analogy of one of the pattern equation method modifications to one method proposed before by other authors is indicated.
Pages: 45-50
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