Uniqueness Theorems for the Inverse Problem of Acoustic Scattering
- 1 November 1983
- journal article
- Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics
- Vol. 31 (3) , 253-259
- https://doi.org/10.1093/imamat/31.3.253
Abstract
Uniqueness theorems are obtained for the problem of determining the shape of a sound-soft or sound-hard obstacle from a knowledge of (1) the far-field pattern at a fixed value of the wave number and a finite number of distinct incident fields, or (2) the total scattering cross section for an interval of wave numbers and the incident field propagating in an arbitrary direction.Keywords
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