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Numerical solution for an inverse scattering problem of non-periodic rough surfaces

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Abstract

The paper presents the first results of a numerical study of inverse diffraction devoted to non-periodic rough surfaces in optics. Two kinds of rough surfaces are considered: first gratings with a finite number of grooves, and second random rough surfaces. For shallow surfaces, adequate Fourier theories have been employed with success. On the other hand, for deeper asperities, rigorous methods are needed and generally, the reconstruction of the profile is more difficult. For both Fourier and rigorous methods, the limit of resolution is studied numerically and numerous examples of reconstruction are given.

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Authors and Affiliations

  1. Laboratoire d'Optique Electromagnétique, E.R.A. 597, Faculté des Sciences et Techniques, Centre de St-Jérôme, F-13397, Marseille Cedex 13, France

    O. Mata Mendez, A. Roger & D. Maystre

Authors
  1. O. Mata Mendez
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  2. A. Roger
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  3. D. Maystre
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Instituto Politecnico National, Escuela Superior de Fisica y Matematicas, Mexico, D.F., Mexico

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Mendez, O.M., Roger, A. & Maystre, D. Numerical solution for an inverse scattering problem of non-periodic rough surfaces. Appl. Phys. B 32, 199–206 (1983). https://doi.org/10.1007/BF00688288

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  • DOI: https://doi.org/10.1007/BF00688288

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