JournalszaaVol. 12, No. 2pp. 319–326

On the Solution of an Ill-Posed Non-Linear Fredholm Integral Equation Connected with an Inverse Problem of Thin Film Optics

  • H. Schachtzabel

    Universität Potsdam, Germany
  • H.-A. Braunss

    Universität Potsdam, Germany
  • B. Hofmann

    Technische Hochschule, Zittau, Germany
On the Solution of an Ill-Posed Non-Linear Fredholm Integral Equation Connected with an Inverse Problem of Thin Film Optics cover
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Abstract

We carry out a theoretical analysis of the simultaneous identification of geometrical thick-ness and refractive index profile for inhomogeneous single layer systems from indirect mea-surements. The problem leads to a non-linear integral equation of the first kind with smooth kernel. We present a uniqueness theorem for monotone solutions referring to the Hausdorff moment problem.

Cite this article

H. Schachtzabel, H.-A. Braunss, B. Hofmann, On the Solution of an Ill-Posed Non-Linear Fredholm Integral Equation Connected with an Inverse Problem of Thin Film Optics. Z. Anal. Anwend. 12 (1993), no. 2, pp. 319–326

DOI 10.4171/ZAA/563