An inverse problem in periodic diffractive optics: global uniqueness with a single wavenumber
- 8 May 2003
- journal article
- Published by IOP Publishing in Inverse Problems
- Vol. 19 (3) , 779-787
- https://doi.org/10.1088/0266-5611/19/3/318
Abstract
We consider the problem of recovering a perfectly reflecting two-dimensional diffraction grating from the knowledge of one wavenumber, one incident direction and the total field measured above the grating. We prove a global uniqueness result within the class of polygonal grating profiles. The proof relies on the analyticity of solutions to the Helmholtz equation and the Rayleigh expansion of the scattered field.Keywords
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