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.
Highlights
Disordered mediums can diffuse or localize the light waves due to random multiple scattering that leads to formation of the electromagnetic modes depending on the structural correlations, scattering strength, and dimensionality of the system [1,2,3,4,5,6,7]
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
The following questions are investigated in such a study: (i) whether the field localization can appear for noninteger 3D fractal dimensionality for homogeneous initial states and (ii) if the field localization (3D speckles) can be found in 3D active and nonlinear system where the dynamics are not a time-reversal invariant
Summary
Disordered mediums can diffuse or localize the light waves due to random multiple scattering that leads to formation of the electromagnetic modes depending on the structural correlations, scattering strength, and dimensionality of the system [1,2,3,4,5,6,7]. We study a different dynamic field localization that may occur in strong disordered systems Such localization happens in 3D active percolating medium, where the clusters are filled by the light nanoemitters in the excited state. This 3D percolating structure has a noninteger fractal (Hausdorff) dimensionality due to the percolating transition [10,11,12] that breaks the spatial homogeneity of the medium. The following questions are investigated in such a study: (i) whether the field localization can appear for noninteger 3D fractal dimensionality for homogeneous initial states and (ii) if the field localization (3D speckles) can be found in 3D active and nonlinear system where the dynamics are not a time-reversal invariant.
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