The singular sources method for 3D inverse acoustic obstacle scattering problems

M. F. Ben Hassen; K. Erhard; R. Potthast

doi:10.1093/imamat/hxp021

The singular sources method for 3D inverse acoustic obstacle scattering problems

M. F. Ben Hassen
, K. Erhard
, R. Potthast^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We investigate the 'singular sources method' (SSM) for the reconstruction of 3D scattering obstacles with sound-soft, sound-hard or impedance boundary condition. The task of this work is the proof of concept for the 'numerical feasibility' of the SSM for reconstructions of 3D objects in acoustics. To our knowledge, these are the first numerical results for the SSM in three dimensions. In particular, we will show reconstructions for different geometric objects for which the boundary condition is not needed to be known in the reconstruction scheme.

Original language	English
Pages (from-to)	1-16
Number of pages	16
Journal	IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
Volume	75
Issue number	1
DOIs	https://doi.org/10.1093/imamat/hxp021
State	Published - Feb 2010
Externally published	Yes

Keywords

acoustics
field reconstruction
integral equations
inverse scattering
probe method

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10.1093/imamat/hxp021

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AU - Potthast, R.

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AB - We investigate the 'singular sources method' (SSM) for the reconstruction of 3D scattering obstacles with sound-soft, sound-hard or impedance boundary condition. The task of this work is the proof of concept for the 'numerical feasibility' of the SSM for reconstructions of 3D objects in acoustics. To our knowledge, these are the first numerical results for the SSM in three dimensions. In particular, we will show reconstructions for different geometric objects for which the boundary condition is not needed to be known in the reconstruction scheme.

KW - acoustics

KW - field reconstruction

KW - integral equations

KW - inverse scattering

KW - probe method

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JF - IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)

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ER -

The singular sources method for 3D inverse acoustic obstacle scattering problems

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Keywords

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