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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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2019/5867012 |
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| author | Gennadiy Burlak |
| author_facet | Gennadiy Burlak |
| author_sort | Gennadiy Burlak |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-e1e6f918dfcb4a1886bf80fd67d6416a |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-e1e6f918dfcb4a1886bf80fd67d6416a2025-02-03T01:25:41ZengWileyAdvances 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 |
| spellingShingle | Gennadiy Burlak The Dynamic Three-Dimensional Localization of Fields in Active Percolating Systems Advances in Mathematical Physics |
| title | 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_short | The Dynamic Three-Dimensional Localization of Fields in Active Percolating Systems |
| title_sort | dynamic three dimensional localization of fields in active percolating systems |
| url | http://dx.doi.org/10.1155/2019/5867012 |
| work_keys_str_mv | AT gennadiyburlak thedynamicthreedimensionallocalizationoffieldsinactivepercolatingsystems AT gennadiyburlak dynamicthreedimensionallocalizationoffieldsinactivepercolatingsystems |