skip to main content

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

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.
Authors:
 [1]
  1. Skolkovo Institute of Science and Technology, Moscow Region, 143025 (Russian Federation)
Publication Date:
OSTI Identifier:
22390599
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1629; Journal 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)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; APPROXIMATIONS; COMPARATIVE EVALUATIONS; DIFFRACTION; ELECTROMAGNETIC RADIATION; INTEGRAL EQUATIONS; MATHEMATICAL SOLUTIONS; NUMERICAL ANALYSIS; THREE-DIMENSIONAL CALCULATIONS; VECTORS