Abstract
Publisher Summary Photorefractive solitons are the arena for a vast and innovative effort in nonlinear optics and nonlinear science as a whole. The chapter focuses on those aspects of the photorefractive soliton-supporting nonlinearity that are associated to the underlying physical mechanism, a light-driven charge migration in a full three-dimensional time-dependent setting. This migration process introduces nonlocality in both space and time, a feature that has a prevailing importance in many observed phenomena, starting from the observation of round 2D solitons. This nonlocality is discussed as the basis for the understanding of many of the peculiarities of the observed self-trapping and to render explicit the great potential that the direct coupling of an optical wave to an intrinsically nonlocal charge migration mechanism affords. Even though the charge migration process is not directly observed in experiments that detect the optical beam intensity, yet this hidden nonlocality is at the very heart of photorefractive self-trapping.
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