WIAS Preprint No. 657, (2001)

Inverse problem of diffractive optics: Conditional stability



Authors

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

2010 Mathematics Subject Classification

  • 35R30 35J05 78A47

Keywords

  • inverse scattering, perfectly reflecting periodic grating, profile reconstruction, far field data, conditional stability, Helmholtz equation

Abstract

In this paper we prove conditional stability for an inverse problem in diffractive optics of determining a periodic curve from far field observations on a segment, in the case of perfect reflection. Our proof is based on a Carleman estimate for the Laplace operator.

Appeared in

  • Inverse Problems 18 (2002), pp. 415-433

Download Documents