Theory of light diffusion through amplifying photonic lattice

TL;DR

This paper develops a theoretical framework for understanding how light diffuses through an amplifying disordered honeycomb photonic lattice, highlighting the effects of scattering, amplification, and interference near lasing conditions.

Contribution

It introduces a Dirac Hamiltonian-based model to analyze light diffusion and interference effects in an amplifying photonic lattice, revealing control mechanisms for localization behaviors.

Findings

Transmission coefficient increases near lasing threshold

Interference correction to diffusion is enhanced near threshold

Transition between weak anti-localization and localization can be controlled

Abstract

We present a study of radiation propagation through disordered amplifying honeycomb photonic lattice, where elastic scattering provides feedback for light generation. To explore the interplay of different scattering mechanisms and the amplification background, we consider the Dirac Hamiltonian with a random potential and derive diffusion equation for the average intensity of light. The transmission coefficient and interference correction to the diffusion coefficient are enhanced near the lasing threshold. The transition between weak anti-localization and weak localization behaviours might be controlled by the parameters associated with the amplification and inter-valley scattering rates.