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

摘要

We present a detailed discussion of scalar wave propagation and lightintensity transport in three dimensional random dielectric media with opticalgain. The intrinsic length and time scales of such amplifying systems arestudied and comprehensively discussed as well as the threshold characteristicsof single- and two-particle propagators. Our semi-analytical theory is based ona self-consistent Cooperon resummation, representing the repeatedself-interference, and incorporates as well optical gain and absorption,modeled in a semi-analytical way by a finite imaginary part of the dielectricfunction. Energy conservation in terms of a generalized Ward identity is takeninto account.