Phase Statistics of Light/Photonic Wave Reflected from One-Dimensional Optical Disordered Media and Its Effects on Light Transport Properties

Light wave reflection intensity from optical disordered media is associated with its phase, and the phase statistics influence the reflection statistics. A detailed numerical study is reported for the statistics of the reflection coefficient <inline-formula><math xmlns="http://www.w3.o...

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Autor principal:	Prabhakar Pradhan
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	backscattering phase distribution reflection statistics light localization Applied optics. Photonics TA1501-1820
Acceso en línea:	https://doaj.org/article/f96ef9a341a74ba9ab8886b314906877
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spelling	oai:doaj.org-article:f96ef9a341a74ba9ab8886b3149068772021-11-25T18:43:14ZPhase Statistics of Light/Photonic Wave Reflected from One-Dimensional Optical Disordered Media and Its Effects on Light Transport Properties10.3390/photonics81104852304-6732https://doaj.org/article/f96ef9a341a74ba9ab8886b3149068772021-10-01T00:00:00Zhttps://www.mdpi.com/2304-6732/8/11/485https://doaj.org/toc/2304-6732Light wave reflection intensity from optical disordered media is associated with its phase, and the phase statistics influence the reflection statistics. A detailed numerical study is reported for the statistics of the reflection coefficient <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>\|</mo><mi>R</mi><mrow><mo>(</mo><mi>L</mi><mo>)</mo></mrow><msup><mo>\|</mo><mn>2</mn></msup></mrow></semantics></math></inline-formula> and its associated phase <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>θ</mi></semantics></math></inline-formula> for plane electromagnetic waves reflected from one dimensional Gaussian white-noise optical disordered media, ranging from weak to strong disordered regimes. The full Fokker–Planck (FP) equation for the joint probability distribution in the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>\|</mo><mi>R</mi><mrow><mo>(</mo><mi>L</mi><mo>)</mo></mrow><msup><mo>\|</mo><mn>2</mn></msup><mo>−</mo><mrow><mo>(</mo><mi>θ</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> space is simulated numerically for varying length and disorder strength of the sample; and the statistical optical transport properties are calculated. Results show the parameter regimes of the validation of the random phase approximations (RPA) or uniform phase distribution, within the Born approximation, as well as the contribution of the phase statistics to the different reflections, averaging from nonuniform phase distribution. This constitutes a complete solution for the reflection phase statistics and its effect on light transport properties in a 1D Gaussian white-noise disordered optical potential.Prabhakar PradhanMDPI AGarticlebackscatteringphase distributionreflection statisticslight localizationApplied optics. PhotonicsTA1501-1820ENPhotonics, Vol 8, Iss 485, p 485 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	backscattering phase distribution reflection statistics light localization Applied optics. Photonics TA1501-1820
spellingShingle	backscattering phase distribution reflection statistics light localization Applied optics. Photonics TA1501-1820 Prabhakar Pradhan Phase Statistics of Light/Photonic Wave Reflected from One-Dimensional Optical Disordered Media and Its Effects on Light Transport Properties
description	Light wave reflection intensity from optical disordered media is associated with its phase, and the phase statistics influence the reflection statistics. A detailed numerical study is reported for the statistics of the reflection coefficient <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>\|</mo><mi>R</mi><mrow><mo>(</mo><mi>L</mi><mo>)</mo></mrow><msup><mo>\|</mo><mn>2</mn></msup></mrow></semantics></math></inline-formula> and its associated phase <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>θ</mi></semantics></math></inline-formula> for plane electromagnetic waves reflected from one dimensional Gaussian white-noise optical disordered media, ranging from weak to strong disordered regimes. The full Fokker–Planck (FP) equation for the joint probability distribution in the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>\|</mo><mi>R</mi><mrow><mo>(</mo><mi>L</mi><mo>)</mo></mrow><msup><mo>\|</mo><mn>2</mn></msup><mo>−</mo><mrow><mo>(</mo><mi>θ</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> space is simulated numerically for varying length and disorder strength of the sample; and the statistical optical transport properties are calculated. Results show the parameter regimes of the validation of the random phase approximations (RPA) or uniform phase distribution, within the Born approximation, as well as the contribution of the phase statistics to the different reflections, averaging from nonuniform phase distribution. This constitutes a complete solution for the reflection phase statistics and its effect on light transport properties in a 1D Gaussian white-noise disordered optical potential.
format	article
author	Prabhakar Pradhan
author_facet	Prabhakar Pradhan
author_sort	Prabhakar Pradhan
title	Phase Statistics of Light/Photonic Wave Reflected from One-Dimensional Optical Disordered Media and Its Effects on Light Transport Properties
title_short	Phase Statistics of Light/Photonic Wave Reflected from One-Dimensional Optical Disordered Media and Its Effects on Light Transport Properties
title_full	Phase Statistics of Light/Photonic Wave Reflected from One-Dimensional Optical Disordered Media and Its Effects on Light Transport Properties
title_fullStr	Phase Statistics of Light/Photonic Wave Reflected from One-Dimensional Optical Disordered Media and Its Effects on Light Transport Properties
title_full_unstemmed	Phase Statistics of Light/Photonic Wave Reflected from One-Dimensional Optical Disordered Media and Its Effects on Light Transport Properties
title_sort	phase statistics of light/photonic wave reflected from one-dimensional optical disordered media and its effects on light transport properties
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/f96ef9a341a74ba9ab8886b314906877
work_keys_str_mv	AT prabhakarpradhan phasestatisticsoflightphotonicwavereflectedfromonedimensionalopticaldisorderedmediaanditseffectsonlighttransportproperties
_version_	1718410810741489664

Phase Statistics of Light/Photonic Wave Reflected from One-Dimensional Optical Disordered Media and Its Effects on Light Transport Properties

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