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Determining a sound-soft polyhedral scatterer by a single far-field measurement


Authors: Giovanni Alessandrini and Luca Rondi
Journal: Proc. Amer. Math. Soc. 133 (2005), 1685-1691
MSC (2000): Primary 35R30; Secondary 35P25
DOI: https://doi.org/10.1090/S0002-9939-05-07810-X
Published electronically: January 13, 2005
MathSciNet review: 2120253
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Abstract: We prove that a sound-soft polyhedral scatterer is uniquely determined by the far-field pattern corresponding to an incident plane wave at one given wavenumber and one given incident direction.


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Additional Information

Giovanni Alessandrini
Affiliation: Dipartimento di Matematica e Informatica, Università degli Studi di Trieste, Trieste, Italy
Email: alessang@univ.trieste.it

Luca Rondi
Affiliation: Dipartimento di Matematica e Informatica, Università degli Studi di Trieste, Trieste, Italy
Email: rondi@univ.trieste.it

DOI: https://doi.org/10.1090/S0002-9939-05-07810-X
Keywords: Inverse acoustic scattering, polyhedra, uniqueness, reflection principle
Received by editor(s): January 22, 2004
Published electronically: January 13, 2005
Additional Notes: This work was supported in part by MIUR under grant no. 2002013279.
Communicated by: M. Gregory Forest
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.