An inverse problem in diffractive optics: conditional stability
- 7 March 2002
- journal article
- Published by IOP Publishing in Inverse Problems
- Vol. 18 (2) , 415-433
- https://doi.org/10.1088/0266-5611/18/2/308
Abstract
In this paper, we prove conditional stability for the inverse problem in diffractive optics of determining a periodic curve in the case of perfect reflection. Introducing a time-periodic solution, we formulate the problem in terms of the Helmholtz equation. Taking a plane wave as an incident wave, we observe the total field along a segment which is remote from the unknown curve. Our proof is based on a Carleman estimate for the Laplace operator.Keywords
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