A method based on factorization for solving boundary value problems in diffraction on bodies of finite dimensions
Abstract
A method is proposed for reducing integral WienerHopf equations to an infinite system of linear algebraic equations, which can be solved by the reduction method with exponential convergence of the approximations. The method is applied in some diffraction problems for ideally conducting bodies of finite extent. These problems are: (1) excitation of a periodic structure by the field of a harmonic, electrically polarized plane wave; (2) a periodic structure consisting of a halfplane with a channel along whose axis a uniformly charged filament with charge density is moving at constant velocity; (3) the field excited by a moving source in a plane diaphragmed waveguide; and (4) scattering at isolated waveguide inhomogeneities.
 Publication:

Zhurnal Vychislitelnoi Matematiki i Matematicheskoi Fiziki
 Pub Date:
 June 1975
 Bibcode:
 1975ZVMMF..15..672V
 Keywords:

 Boundary Value Problems;
 Electromagnetic Scattering;
 Wave Diffraction;
 Wiener Hopf Equations;
 Electrodynamics;
 Factor Analysis;
 Harmonic Analysis;
 Integral Equations;
 Plane Waves;
 Polarized Electromagnetic Radiation;
 Waveguides;
 Communications and Radar