Replacement of Ensemble Averaging by the Use of a Broadband Source in Scattering of Light from a One-Dimensional Randomly Rough Interface between Two Dielectric Media

By the use of phase perturbation theory we show that if a single realization of a one-dimensional randomly rough interface between two dielectric media is illuminated at normal incidence from either medium by a broadband Gaussian beam, it produces a scattered field whose differential reflection coef...

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Main Authors: Alexei A. Maradudin, Ingve Simonsen
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:International Journal of Antennas and Propagation
Online Access:http://dx.doi.org/10.1155/2018/6768306
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author Alexei A. Maradudin
Ingve Simonsen
author_facet Alexei A. Maradudin
Ingve Simonsen
author_sort Alexei A. Maradudin
collection DOAJ
description By the use of phase perturbation theory we show that if a single realization of a one-dimensional randomly rough interface between two dielectric media is illuminated at normal incidence from either medium by a broadband Gaussian beam, it produces a scattered field whose differential reflection coefficient closely matches the result produced by averaging the differential reflection coefficient produced by a monochromatic incident beam over the ensemble of realizations of the interface profile function.
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series International Journal of Antennas and Propagation
spelling doaj-art-f570f9d39961474bae2f946a65357b092025-02-03T05:43:51ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772018-01-01201810.1155/2018/67683066768306Replacement of Ensemble Averaging by the Use of a Broadband Source in Scattering of Light from a One-Dimensional Randomly Rough Interface between Two Dielectric MediaAlexei A. Maradudin0Ingve Simonsen1Department of Physics and Astronomy, University of California, Irvine, CA 92697, USASurface du Verre et Interfaces, UMR 125 CNRS/Saint-Gobain, 93303 Aubervilliers, FranceBy the use of phase perturbation theory we show that if a single realization of a one-dimensional randomly rough interface between two dielectric media is illuminated at normal incidence from either medium by a broadband Gaussian beam, it produces a scattered field whose differential reflection coefficient closely matches the result produced by averaging the differential reflection coefficient produced by a monochromatic incident beam over the ensemble of realizations of the interface profile function.http://dx.doi.org/10.1155/2018/6768306
spellingShingle Alexei A. Maradudin
Ingve Simonsen
Replacement of Ensemble Averaging by the Use of a Broadband Source in Scattering of Light from a One-Dimensional Randomly Rough Interface between Two Dielectric Media
International Journal of Antennas and Propagation
title Replacement of Ensemble Averaging by the Use of a Broadband Source in Scattering of Light from a One-Dimensional Randomly Rough Interface between Two Dielectric Media
title_full Replacement of Ensemble Averaging by the Use of a Broadband Source in Scattering of Light from a One-Dimensional Randomly Rough Interface between Two Dielectric Media
title_fullStr Replacement of Ensemble Averaging by the Use of a Broadband Source in Scattering of Light from a One-Dimensional Randomly Rough Interface between Two Dielectric Media
title_full_unstemmed Replacement of Ensemble Averaging by the Use of a Broadband Source in Scattering of Light from a One-Dimensional Randomly Rough Interface between Two Dielectric Media
title_short Replacement of Ensemble Averaging by the Use of a Broadband Source in Scattering of Light from a One-Dimensional Randomly Rough Interface between Two Dielectric Media
title_sort replacement of ensemble averaging by the use of a broadband source in scattering of light from a one dimensional randomly rough interface between two dielectric media
url http://dx.doi.org/10.1155/2018/6768306
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AT ingvesimonsen replacementofensembleaveragingbytheuseofabroadbandsourceinscatteringoflightfromaonedimensionalrandomlyroughinterfacebetweentwodielectricmedia