Uniqueness in determining polygonal periodic structures
- Elschner, Johannes
- Yamamoto, Masahiro
2010 Mathematics Subject Classification
- 78A46 35R30
- Diffraction grating, periodic Helmholtz equation, inverse Dirichlet and Neumann problems, polygonal grating profile
We consider the inverse problem of recovering a two-dimensional perfectly reflecting diffraction grating from scattered waves measured above the structure. We establish the uniqueness within the class of general polygonal grating profiles by a minimal number of incoming plane waves, without excluding Rayleigh frequencies and further geometric constraints on the profile. This extends and improves the uniqueness results of .
- Z. Anal. Anwendungen 26 (2007) pp. 165-177