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

Author(s): Giovanni Alessandrini; Luca Rondi
Journal: Proc. Amer. Math. Soc. 133 (2005), 1685-1691.
MSC (2000): Primary 35R30; Secondary 35P25
Posted: January 13, 2005
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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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D. Colton and R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory, Springer-Verlag, Berlin Heidelberg New York, 1998. MR 1635980 (99c:35181)

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H. S. M. Coxeter, Regular Polytopes, Dover, New York, 1973. MR 0370327 (51:6554)

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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: 10.1090/S0002-9939-05-07810-X
PII: S 0002-9939(05)07810-X
Keywords: Inverse acoustic scattering, polyhedra, uniqueness, reflection principle
Received by editor(s): January 22, 2004
Posted: January 13, 2005
Additional Notes: This work was supported in part by MIUR under grant no.~2002013279.
Communicated by: M. Gregory Forest
Copyright of article: Copyright 2005, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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