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Research Article | Open Access

Muti-frequency extended sampling method for the inverse acoustic source problem

Jiyu Sun( ), Jitao Zhang
School of Measurement-Control Technology and Communications Engineering, Harbin University of Science and Technology, Harbin 150080, China
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Abstract

We consider the reconstruction of the compact support of an acoustic source given multiple frequency far field data. We propose a multi-frequency extended sampling method (MESM). The MESM computes the solutions of some ill-posed integral equations and constructs an indicator function to image the source. The behavior of the indicator function is justified. The method is fast and easy to implement. Various numerical examples are presented to show the effectiveness of the MESM for both frequency-independent and frequency-dependent sources.

Keywords

inverse source problemextended sampling methodmultiple frequency data

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Electronic Research Archive
Volume 31 Issue 7,
July 2023
Pages 4216-4231
DOI: 10.3934/era.2023214

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Cite this article:
Sun J, Zhang J. Muti-frequency extended sampling method for the inverse acoustic source problem. Electronic Research Archive, 2023, 31(7): 4216-4231. https://doi.org/10.3934/era.2023214

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Received: 18 April 2023
Revised: 15 May 2023
Accepted: 28 May 2023
Published: 15 July 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)