Light Transport and Localization in Diffusive Random Lasers

Abstract

We develop an analytical theory for diffusive random lasers by coupling the transport theory of the disordered medium to the semiclassical laser rate equations, accounting for (coherent) stimulated and (incoherent) spontaneous emission. From the causality of wave propagation in an amplifying, diffusive medium we derive a novel length scale which we identify with the average mode radius of the lasing quasi-modes. We show further that loss at the surface of the laser-active medium is crucial in order to stabilize a stationary lasing state. The solution of the transport theory of random lasers for a layer geometry with appropriate surface boundary conditions yields the spatial profile of the light intensity and of the population inversion. The dependence of the intensity correlation length on the pump rate is in qualitative agreement with experimental and numerical findings.

References in corpus (2)

• Field and intensity correlations in amplifying random media
• Effects of localization and amplification on distribution of intensity transmitted through random media

Cited by in corpus (7)

• Effects of Spatially Nonuniform Gain on Lasing Modes in Weakly Scattering Random Systems
• Physics of quantum light emitters in disordered photonic nanostructures
• Scalar Wave Propagation in Random, Amplifying Media: Influence of Localization Effects on Length and Time Scales and Threshold Behavior
• Statistical outliers in random laser emission
• A Self-Consistent Quantum Field Theory for Random Lasing
• Diffusive to quasi-ballistic random laser: incoherent and coherent models
• Nonlinear sigma model for optical media with linear absorption or gain