Document Type

Journal Article

Department/Unit

Department of Mathematics

Title

Fourier method for recovering acoustic sources from multi-frequency far-field data

Language

English

Abstract

We consider an inverse source problem of determining a source term in the Helmholtz equation from multi-frequency far-field measurements. Based on the Fourier series expansion, we develop a novel non-iterative reconstruction method for solving the problem. A promising feature of this method is that it utilizes the data from only a few observation directions for each frequency. Theoretical uniqueness and stability analysis are provided. Numerical experiments are conducted to illustrate the effectiveness and efficiency of the proposed method in both two and three dimensions.

Keywords

inverse source problem, Helmholtz equation, Fourier expansion, multi-frequency, far-field

Publication Date

2-2017

Source Publication Title

Inverse Problems

Volume

33

Issue

3

Start Page

035001

Publisher

IOS Publishgin

Peer Reviewed

1

Funder

The work of X Wang was supported by the NSFC grant under No. 11671113. The work of Y Guo was supported by the NSFC grants under Nos. 11671111, 11601107 and 41474102. The work of D Zhang was supported by the NSFC grants under No. 11671170. The work of H Liu was supported by the FRG grants from Hong Kong Baptist University, Hong Kong RGC General Research Funds, No. 12302415, and the NSFC grant under No. 11371115.

DOI

10.1088/1361-6420/aa573c

Link to Publisher's Edition

http://dx.doi.org/10.1088/1361-6420/aa573c

ISSN (print)

02665611

ISSN (electronic)

13616420

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