The Dynamic Three-Dimensional Localization of Fields in Active Percolating Systems

The Dynamic Three-Dimensional Localization of Fields in Active Percolating Systems

We study a dynamic three-dimensional (3D) field localized states in a medium with percolation disorder, where the percolation cluster is filled by the active nanoemitters. In such a system, the incipient percolating cluster generates a fractal radiating structure in which the field is radiated and s...

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Main Author: Gennadiy Burlak
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2019/5867012
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spelling doaj-e1e6f918dfcb4a1886bf80fd67d6416a2021-07-02T04:05:34ZengHindawi LimitedAdvances in Mathematical Physics1687-91201687-91392019-01-01201910.1155/2019/58670125867012The Dynamic Three-Dimensional Localization of Fields in Active Percolating SystemsGennadiy Burlak0CIICAp, Universidad Autónoma del Estado de Morelos, Av. Universidad 1001, Cuernavaca, Morelos 62210, MexicoWe study a dynamic three-dimensional (3D) field localized states in a medium with percolation disorder, where the percolation cluster is filled by the active nanoemitters. In such a system, the incipient percolating cluster generates a fractal radiating structure in which the field is radiated and scattered by the anisotropic inhomogeneity. Our numerical 3D simulations show that such a nonlinear system with noninteger fractal dimension has well-defined localized solutions for fields (3D speckles). The statistics of speckles is studied too.http://dx.doi.org/10.1155/2019/5867012
collection DOAJ
language English
format Article
sources DOAJ
author Gennadiy Burlak
spellingShingle Gennadiy Burlak
The Dynamic Three-Dimensional Localization of Fields in Active Percolating Systems
Advances in Mathematical Physics
author_facet Gennadiy Burlak
author_sort Gennadiy Burlak
title The Dynamic Three-Dimensional Localization of Fields in Active Percolating Systems
title_short The Dynamic Three-Dimensional Localization of Fields in Active Percolating Systems
title_full The Dynamic Three-Dimensional Localization of Fields in Active Percolating Systems
title_fullStr The Dynamic Three-Dimensional Localization of Fields in Active Percolating Systems
title_full_unstemmed The Dynamic Three-Dimensional Localization of Fields in Active Percolating Systems
title_sort dynamic three-dimensional localization of fields in active percolating systems
publisher Hindawi Limited
series Advances in Mathematical Physics
issn 1687-9120
1687-9139
publishDate 2019-01-01
description We study a dynamic three-dimensional (3D) field localized states in a medium with percolation disorder, where the percolation cluster is filled by the active nanoemitters. In such a system, the incipient percolating cluster generates a fractal radiating structure in which the field is radiated and scattered by the anisotropic inhomogeneity. Our numerical 3D simulations show that such a nonlinear system with noninteger fractal dimension has well-defined localized solutions for fields (3D speckles). The statistics of speckles is studied too.
url http://dx.doi.org/10.1155/2019/5867012
work_keys_str_mv AT gennadiyburlak thedynamicthreedimensionallocalizationoffieldsinactivepercolatingsystems
AT gennadiyburlak dynamicthreedimensionallocalizationoffieldsinactivepercolatingsystems
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