Effects of localization and amplification on distribution of intensity transmitted through random media

Abstract

We numerically study the statistical distribution of intensity transmitted through quasi-one dimensional random media by varying the dimensionless conductance $g$ and the amount of absorption or gain. Markedly non-Rayleigh distribution is found to be well fitted by the analytical formula of Nieuwenhuizen {\it et al}, Phys. Rev. Lett. {\bf 74}, 2674 (1995) with a single parameter $g^{\prime }$. We show that in the passive random system $g^{\prime }$ is uniquely related to $g$, while in amplifying/absorbing random media $g^{\prime }$ also depends on gain/absorption coefficient.

4 pages, 4 figures, 1 table