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

Gennadiy Burlak ()

Advances in Mathematical Physics, 2019, vol. 2019, 1-7

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.

Date: 2019
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DOI: 10.1155/2019/5867012

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