Statistics of Intensities in Surface Disordered Waveguides

Abstract

Numerical calculations of the statistical distributions of the transmited and reflected intensities from surface disordered waveguides are presented. An oscillating behavior of the enhanced backscattering and localization length as a function of the wavelength is predicted.

Although the transport is strongly non isotropic, the analysis of the probability distributions of the transmitted waves confirms in this configuration distributions predicted by Random Matrix Theory for volume disorder.

We use RMT to analytically deduce the probability densities of reflected waves in the localization regime. Numerical calculations of the coupling to backward modes are also put forward for comparison. Interestingly, the speckle distributions are found to be independent of the transport regime. The predicted probability densities reproduce accurately the numerical results.