Scalar wave diffraction by axially symmetrical system of infinitely thin perfectly conducting circular rings

Y. A. Tuchkin, E. Karacuha, F. Dikmen

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

A new strong mathematically rigorous and numerically efficient method for solving the boundary value problem of scalar wave diffraction by a system of infinitely thin circular ring shaped screens is proposed. The method is based on the combination of the orthogonal polynomials approach and on the ideas of the methods of analytical regularisation. The solution is generalisation of the investigation done for one ring. As a result of the suggested regularisation procedure, the initial boundary value problem was equivalently reduced to the infinite system of the linear algebraic equations of the second kind, i.e. to an equation of the type (I+H)x=b, x, b∈l2 in the space l2 of square summable sequences. This equation can be solved numerically by means of a truncation method with, in principle, any required accuracy.

Original languageEnglish
Title of host publicationProceedings of 3rd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 1998
PublisherIEEE Computer Society
Pages39-41
Number of pages3
ISBN (Electronic)9660206216
DOIs
Publication statusPublished - 1998
Externally publishedYes
Event3rd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 1998 - Tbilisi, Georgia
Duration: 2 Nov 19985 Nov 1998

Publication series

NameProceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED
ISSN (Print)2165-3585
ISSN (Electronic)2165-3593

Conference

Conference3rd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 1998
Country/TerritoryGeorgia
CityTbilisi
Period2/11/985/11/98

Bibliographical note

Publisher Copyright:
© 1998 Inst. For Appl. Prob. of Mech and Math. of NASU.

Fingerprint

Dive into the research topics of 'Scalar wave diffraction by axially symmetrical system of infinitely thin perfectly conducting circular rings'. Together they form a unique fingerprint.

Cite this