Uniqueness of determining a periodic structure from discrete far field observations
- Bruckner, Gottfried
- Cheng, Jin
- Yamamoto, Masahiro
2010 Mathematics Subject Classification
- 35R30 35J05 78A46
- inverse problems, uniqueness, Helmholtz equation, diffractive optics, discrete observations
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.