The Angular Intensity Correlation Functions C^{(1)} and C^{(10)} for the Scattering of Light from Randomly Rough Dielectric and Metal Surfaces

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dc.creatorLeskova, Tamara A.
dc.creatorSimonsen, Ingve
dc.creatorMaradudin, Alexei A.
dc.date1999-11-02
dc.date.accessioned2026-07-07T03:14:57Z
dc.date.available2026-07-07T03:14:57Z
dc.descriptionWe study the statistical properties of the scattering matrix S(q|k) for the problem of the scattering of light from a randomly rough one-dimensional surface, defined by the equation $x_3 = \zx$, where the surface profile function $\zx$ constitutes a zero-mean, stationary, Gaussian random process, through the effects of $S(q|k)$ on the angular intensity correlation function C(q,k|q',k'). The existence of both the C^{(1)} and C^{(10)} correlation functions is consistent with the amplitude of the scattered field obeying complex Gaussian statistics in the limit of a long surface. We show that the deviation of the statistics of the scattering matrix from circular Gaussian statistics and the C^{(10)} correlation function are determined by exactly the same statistical moment. As the random surface becomes rougher, the amplitude of the scattered field no longer obeys complex Gaussian statistics but obeys complex circular Gaussian statistics instead. In this case, the C^{(10)} correlation function should vanish. This result is confirmed by numerical simulation calculations.
dc.descriptionRevTeX, 10 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/9911001
dc.identifierhttp://arxiv.org/abs/cond-mat/9911001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/29873
dc.subjectDisordered Systems and Neural Networks
dc.subjectMaterials Science
dc.titleThe Angular Intensity Correlation Functions C^{(1)} and C^{(10)} for the Scattering of Light from Randomly Rough Dielectric and Metal Surfaces
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