Diffraction of electromagnetic waves by a partially screened dielectric anisotropic cylinder
type: Item
instance of: scholarly article
zbMATH Open document ID: 0979.78011
author: A. V. Brovenko
author: P. N. Melezhik
author: A. E. Poedinchuk
publication date: 2001-11-04T00:00:00Z
Mathematics Subject Classification ID: 78A45
Mathematics Subject Classification ID: 45F10
zbMATH DE Number: 1668377
zbMATH Keywords: dual series equations
zbMATH Keywords: regularization
zbMATH Keywords: Riemann-Hilbert problem
zbMATH Keywords: analytical function
zbMATH Keywords: infinite algebraic system
MaRDI profile type: Publication
title: Diffraction of electromagnetic waves by a partially screened dielectric anisotropic cylinder
published in: Dopovidi Natsional'noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky
review text: Mathematically, the considered problem is reduced to dual series equations in trigonometric functions. The convenient technique of reducing these equations to infinite algebraic systems is inapplicable due to slow convergence. An alternative method of solution of the equations, that uses analytical regularization with the aid of the Riemann-Hilbert conjugation problem, is suggested. Thus the system of dual series equations is reduced to reconstruction of some function, analytical outside an arc, by its values on this arc. At the end, an infinite system of algebraic equations is obtained. It is shown, that a solution of this system exists, is unique and can be computed by the reduction technique.
description: scientific article; zbMATH DE number 1668377