On one numerical scheme of the solution of a three-dimensional problem of diffraction of an electromagnetic wave on thin ideally conductive screens

Journal Article · Wed Nov 12 00:00:00 EST 2014 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4902266· OSTI ID:22390599

Ryzhakov, G. V. ^[1]

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1. Skolkovo Institute of Science and Technology, Moscow Region, 143025 (Russian Federation)

In the paper, the problem of diffraction on thin ideally conductive screens is reduced to vector hypersingular integral equation with integral treated in the sense of finite Hadamard value. An numerical scheme to solve the equation is introduced. The scheme is based on piecewise approximation of unknown function. The advantage of the scheme is that integral of singular part is reduced to contour integral which can be analytically calculated so numerical calculation are significantly accelerated. Several examples of resulting numerical experiments are given in comparison with known theoretical and experimental data.

• OSTI ID: 22390599
• Journal Information: AIP Conference Proceedings, Vol. 1629, Issue 1; Conference: AMiTaNS 14: 6. International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, Albena (Bulgaria), 26 Jun - 1 Jul 2014; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
APPROXIMATIONS
COMPARATIVE EVALUATIONS
DIFFRACTION
ELECTROMAGNETIC RADIATION
INTEGRAL EQUATIONS
MATHEMATICAL SOLUTIONS
NUMERICAL ANALYSIS
THREE-DIMENSIONAL CALCULATIONS
VECTORS