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 Elschner, Schmidt and Yamamoto [Inverse Problems 19 (2003), 779--787].
Cite this article
Johannes Elschner, Masahiro Yamamoto, Uniqueness in Determining Polygonal Periodic Structures. Z. Anal. Anwend. 26 (2007), no. 2, pp. 165–177DOI 10.4171/ZAA/1316