Scalar Wave Propagation in Random, Amplifying Media: Influence of Localization Effects on Length and Time Scales and Threshold Behavior

TL;DR

This paper investigates scalar wave and light intensity transport in three-dimensional random media with optical gain, analyzing length and time scales, threshold behavior, and the effects of localization using a semi-analytical self-consistent theory.

Contribution

It introduces a semi-analytical self-consistent Cooperon resummation approach that includes optical gain and absorption effects for studying wave localization in amplifying media.

Findings

Analysis of intrinsic length and time scales in amplifying systems

Discussion of threshold characteristics of propagators

Inclusion of gain and absorption effects in a unified theoretical framework

Abstract

We present a detailed discussion of scalar wave propagation and light intensity transport in three dimensional random dielectric media with optical gain. The intrinsic length and time scales of such amplifying systems are studied and comprehensively discussed as well as the threshold characteristics of single- and two-particle propagators. Our semi-analytical theory is based on a self-consistent Cooperon resummation, representing the repeated self-interference, and incorporates as well optical gain and absorption, modeled in a semi-analytical way by a finite imaginary part of the dielectric function. Energy conservation in terms of a generalized Ward identity is taken into account.