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Theory of light diffusion through amplifying photonic lattice

2020/08/28 by SK Firoz Islam, Islam, SK Firoz, A. A. Zyuzin +1
Engineering · Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Nonlinear Photonic Systems #Random lasers and scattering media #Terahertz technology and applications

paper · pdf · doi:10.48550/arxiv.2008.12675

openalex publication_date 2020/08/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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