WIAS Preprint No. 605, (2000)

Uniqueness of determining a periodic structure from discrete far field observations



Authors

  • Bruckner, Gottfried
  • Cheng, Jin
  • Yamamoto, Masahiro

2010 Mathematics Subject Classification

  • 35R30 35J05 78A46

Keywords

  • inverse problems, uniqueness, Helmholtz equation, diffractive optics, discrete observations

Abstract

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.

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