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