On applicability of inhomogeneous diffusion approach to localized transport through disordered waveguides

Abstract

In this work we show analytically and numerically that wave transport through random waveguides can be modeled as a diffusion with an inhomogeneous diffusion coefficient (IDC). In localized regime, IDC retains the memory of the source position. In an absorbing random medium, IDC becomes independent of the source.Comment: 5 pages, 3 figure