Phase randomness in a one-dimensional disordered absorbing medium

TL;DR

This paper analytically investigates the phase distribution of transmission coefficients in a one-dimensional disordered absorbing medium, revealing a Gaussian distribution with absorption reducing phase fluctuations.

Contribution

It provides an explicit variance expression for the phase distribution and discusses the conditions for the validity of the random phase approximation.

Findings

Phase follows approximately Gaussian distribution.

Absorption suppresses phase fluctuations.

Explicit variance expression derived.

Abstract

Analytical study of the distribution of phase of the transmission coefficient through 1D disordered absorbing system is presented. The phase is shown to obey approximately Gaussian distribution. An explicit expression for the variance is obtained, which shows that absorption suppresses the fluctuations of the phase. The applicability of the random phase approximation is discussed.