Acoustic scattering by a sphere in the time domain

被引：8

作者：

Martin, P. A. ^{[1
]}

机构：

[1] Colorado Sch Mines, Dept Appl Math & Stat, Golden, CO 80401 USA

来源：

WAVE MOTION | 2016年 / 67卷

关键词：

Wave equation; Similarity variables; Legendre polynomial; Laplace transform; TRANSIENT DIFFRACTION; GIBBS PHENOMENON; WAVE; PULSE; FIELD; RADIATION; EQUATION;

D O I：

10.1016/j.wavemoti.2016.07.007

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

A sound pulse is scattered by a sphere leading to an initial boundary value problem for the wave equation. A method for solving this problem is developed using integral representations involving Legendre polynomials in a similarity variable and Volterra integral equations. The method is compared and contrasted with the classical method, which uses Laplace transforms in time combined with separation of variables in spherical polar coordinates. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：68 / 80

页数：13

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