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

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  • Gennadiy Burlak

Abstract

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.

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  • Gennadiy Burlak, 2019. "The Dynamic Three-Dimensional Localization of Fields in Active Percolating Systems," Advances in Mathematical Physics, Hindawi, vol. 2019, pages 1-7, February.
    • Handle: RePEc:hin:jnlamp:5867012
    DOI: 10.1155/2019/5867012
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