Spatial Solitons and Anderson Localization

Details Spatial Solitons and Anderson Localization Spatial Solitons and Anderson Localization

2002-05-03

arxiv.org/abs/cond-mat/0205061v2

Physics

Condensed Matter

Statistical Mechanics

submitted to Phys.Rev.A

Scientific paper

10.1103/PhysRevA.68.013801

Stochastic (Anderson) localization is the spatial localization of the wave-function of quantum particles in random media. We show, that a corresponding phenomenon can stabilize spatial solitons in optical resonators: spatial solitons in resonators with randomly distorted mirrors are more stable than in perfect mirror resonators. We demonstrate the phenomenon numerically, by investigating solitons in lasers with saturable absorber, and analytically by deriving and analyzing coupled equations of spatially coherent and incoherent field components.

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