We study a dynamic three-dimensional (3D) field localized states in a medium with percolation disorder, where the percolation\ncluster is filled by the active nanoemitters. In such a system, the incipient percolating cluster generates a fractal radiating structure\nin which the field is radiated and scattered by the anisotropic inhomogeneity. Our numerical 3D simulations show that such a\nnonlinear system with noninteger fractal dimension has well-defined localized solutions for fields (3D speckles). The statistics of\nspeckles is studied too.
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