Analytical regularization based analysis of a spherical reflector symmetrically illuminated by an acoustic beam

Sergey S. Vinogradov*, Elena D. Vinogradova, Alexander I. Nosich, Ayhan Altintaş

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)

Abstract

A mathematically accurate and numerically efficient method of analysis of a spherical reflector, fed by a scalar beam produced by a complex source- point feed, is presented. Two cases, soft and hard reflector surface, are considered. In each case the solution of the full-wave integral equation is reduced to dual series equations and then further to a regularized infinite- matrix equation. The latter procedure is based on the analytical inversion of the static part of the problem. Sample numerical results for 50-λ reflectors demonstrate features that escape a high-frequency asymptotic analysis. (C) 2000 Acoustical Society of America.

Original languageEnglish
Pages (from-to)2999-3005
Number of pages7
JournalJournal of the Acoustical Society of America
Volume107
Issue number6
DOIs
Publication statusPublished - Jun 2000
Externally publishedYes

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