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

DOI

10.20347/WIAS.PREPRINT.657

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

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