Spatial Solitons and Anderson Localization
Kestutis Staliunas
TL;DR
This paper demonstrates that Anderson localization can stabilize optical spatial solitons in resonators with randomly distorted mirrors, showing enhanced stability through numerical and analytical methods.
Contribution
It introduces the novel concept that Anderson localization can be used to stabilize spatial solitons in optical resonators with random mirror distortions.
Findings
Solitons are more stable in resonators with random mirror distortions.
Numerical simulations confirm enhanced stability of solitons.
Analytical models support the numerical findings.
Abstract
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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