Use Of The Concept Of Bragg Diffraction For The Analysis Of Light Scattered From Random Rough Surfaces

Hans M. Pedersen

doi:10.1117/12.934072

7 December 1982 Use Of The Concept Of Bragg Diffraction For The Analysis Of Light Scattered From Random Rough Surfaces

Hans M. Pedersen

Proceedings Volume 0358, Applications of Mathematics in Modern Optics; (1982) https://doi.org/10.1117/12.934072
Event: 26th Annual Technical Symposium, 1982, San Diego, United States

Abstract

The roughness dependence of fully developed speckle patterns is known to manifest itself through spectral and angular correlations, i.e. correlations in the reciprocal (K-) space. In this paper we show how this dependence can be given a simple physical interpretation by use of the concept of Bragg diffraction. To that end, we briefly investigate the formal analog between the first Born scattering theory and Beckmann's theory of rough surface diffraction. Then, on the basis of earlier results, we present a K-space version of the van Cittert-Zernike theorem which enables us to use an equivalent Bragg-diffraction problem to analyse the K-space correlations. Finally, we show that earlier results for the roughness dependent spectral and angular correlations, as well as the roughness-dependence of polychromatic speckle, can be found from our analysis by simple physical considerations.

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Hans M. Pedersen "Use Of The Concept Of Bragg Diffraction For The Analysis Of Light Scattered From Random Rough Surfaces", Proc. SPIE 0358, Applications of Mathematics in Modern Optics, (7 December 1982); https://doi.org/10.1117/12.934072

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