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Proceedings Paper

Determination of the normalized surface height autocorrelation function of a two-dimensional randomly rough dielectric surface by the inversion of light scattering data in p-polarization
Author(s): J. B. Kryvi; I. Simonsen; A. A. Maradudin
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Paper Abstract

The contribution to the mean differential reflection coefficient from the in-plane, co-polarized scattering of p- polarized light from a two-dimensional randomly rough dielectric surface is used to invert scattering data to obtain the normalized surface height autocorrelation function of the surface. Within phase perturbation theory this contribution to the mean differential reflection coefficient possesses singularities (poles) when the polar scattering angle θs equals ±θB= ± tan-1E, where E is the dielectric constant of the dielectric medium and θB is the Brewster angle. Nevertheless, we show in this paper that if the mean differential reflection coefficient is measured only in the angular range |θs| < θB, these data can be inverted to yield accurate results for the normalized surface height correlation function for weakly rough surfaces. Several parameterized forms of this correlation function, and the minimization of a cost function with respect to the parameters defining these representations, are used in the inversion scheme. This approach also yields the rms height of the surface roughness, and the dielectric constant of the scattering medium if it is not known in advance. The input data used in this minimization procedure consist of computer simulation results for surfaces defined by exponential and Gaussian surface height correlation functions, without and with the addition of multiplicative noise. The proposed inversion scheme is computationally efficient.

Paper Details

Date Published: 26 September 2016
PDF: 14 pages
Proc. SPIE 9961, Reflection, Scattering, and Diffraction from Surfaces V, 99610F (26 September 2016); doi: 10.1117/12.2236236
Show Author Affiliations
J. B. Kryvi, NTNU Norwegian Univ. of Sciences and Technology (Norway)
I. Simonsen, NTNU Norwegian Univ. of Sciences and Technology (Norway)
Surface du Verre et Interfaces, CNRS (France)
A. A. Maradudin, Univ. of California, Irvine (United States)


Published in SPIE Proceedings Vol. 9961:
Reflection, Scattering, and Diffraction from Surfaces V
Leonard M. Hanssen, Editor(s)

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