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IMA Journal of Applied Mathematics Advance Access originally published online on February 18, 2009
IMA Journal of Applied Mathematics 2009 74(2):264-272; doi:10.1093/imamat/hxp005
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© The Author 2009. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

On recovering polyhedral scatterers with acoustic far-field measurements

Hongyu Liu{dagger}

Department of Mathematics, University of Washington, Box 354350, Seattle, WA 98195, USA

{dagger} Email: hyliu{at}u.washington.edu, hyliu{at}math.washington.edu

Received on January 23, 2008; Revision received September 2, 2008. Accepted on January 18, 2009

We prove that an acoustic sound-hard scatterer, consisting of finitely many solid polyhedra in Rn(n ≥ 2), is uniquely determined by the far-field patterns corresponding to n – 1 different incident waves. By suitable modifications, the method can also be used to show a similar uniqueness result in the setting without knowing the a priori physical properties of the underlying scatterer.

Keywords: inverse acoustic scattering; identifiability and uniqueness; polyhedral scatterers.


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