An effective theory of pulse propagation in a nonlinear and disordered medium in two dimensions

2010/10/04 by G. Schwiete, Schwiete, G., A. M. Finkelstein +1
Physics and Astronomy · #Advanced Fiber Laser Technologies #FOS: Physical sciences #Laser-Matter Interactions and Applications #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Nonlinear Photonic Systems #Optics (physics.optics) #Quantum Gases (cond-mat.quant-gas)

paper · pdf · doi:10.48550/arxiv.1010.0726

openalex publication_date 2010/10/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We develop an effective theory of pulse propagation in a nonlinear \it and disordered medium. The theory is formulated in terms of a nonlinear diffusion equation. Despite its apparent simplicity this equation describes novel phenomena which we refer to as "locked explosion" and "diffusive" collapse. The equation can be applied to such distinct physical systems as laser beams propagating in disordered photonic crystals or Bose-Einstein condensates expanding in a disordered environment.

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