Acoustic source identification using multiple frequency information

被引：91

作者：

Eller, Matthias ^{[1
]}

Valdivia, Nicolas P. ^{[2
]}

机构：

[1] Georgetown Univ, Dept Math, Washington, DC 20057 USA

[2] USN, Res Lab, Acoust Div, Washington, DC 20375 USA

来源：

INVERSE PROBLEMS | 2009年 / 25卷 / 11期

基金：

美国国家科学基金会;

关键词：

INVERSE SOURCE PROBLEM; IMAGE-FORMATION; HOLOGRAPHY;

D O I：

10.1088/0266-5611/25/11/115005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the inverse problem of identifying the location and shape of a finitely supported acoustic source function, separable with respect to space and frequency, from measurements of the acoustic field on a closed surface for many frequencies. A simple uniqueness proof and an error estimate for the unknown source function are presented. From the uniqueness proof an efficient numerical algorithm for the solution is developed. The algorithm is tested using numerically generated data in dimensions 2 and 3.

引用

页数：20

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