WIAS Preprint No. 605, (2000)
Uniqueness of determining a periodic structure from discrete far field observations
Authors
- Bruckner, Gottfried
- Cheng, Jin
- Yamamoto, Masahiro
2010 Mathematics Subject Classification
- 35R30 35J05 78A46
Keywords
- inverse problems, uniqueness, Helmholtz equation, diffractive optics, discrete observations
DOI
Abstract
This paper is devoted to the uniqueness in the inverse scattering problem of determining a perfectly reflecting periodic surface from far field observations on a discrete set. Our proof is based on the unique continuation of the solution to the Helmholtz equation from a discrete set.
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