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Uniqueness in determining polyhedral sound-hard obstacles with a single incoming wave

Johannes Elschner1 and Masahiro Yamamoto2

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We consider the inverse acoustic scattering problem of determining a sound-hard obstacle by far-field measurements. It is proved that a polyhedral scatterer in {{\bb R}}^n, n\ge 2 , consisting of finitely many solid polyhedra, is uniquely determined by a single incoming plane wave.


PACS

43.40.Sk Mechanical filters

02.30.Zz Inverse problems

MSC

78A46 Inverse scattering problems

78A40 Waves and radiation

Subjects

Mathematical physics

Dates

Issue 3 (June 2008)

Received 10 January 2008, in final form 1 March 2008

Published 4 April 2008



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