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

Figure 2

The properties of the speckle patterns generated in 3D cube with grids by random scatters (a),(c), and random optical emitters in percolating clusters (b),(d). (a) Central slice of the computer generated speckle pattern consisting of large number of independent scatters with the phases uniformly distributed over ; (b) the field speckle pattern generated by radiated emitters (depicted as point-like spots) placed into a random percolating cluster with the population probability at small time ; (c) the histogram of intensity and the probability density function (dashed red line) for the pattern shown in (a); (d) histogram of intensity (in exponential scale) and the (fitting) probability density function (dashed red line) (see (6)) for the emitter pattern shown in (b). One can see that the probability density functions for (a) and (b) are different functions.

(a)

(b)

(c)

(d)