Abstract
By using a perturbational approach, we analyze the evolution of solitary waves in a nonlocal medium in the presence of perturbative disorder. An increasing degree of nonlocality may largely hamper the Brownian motion of self-trapped wave-packets. The result is valid for any kind of nonlocality and in the presence of non-paraxial effects. We compare the analytical predictions with numerical simulations based on stochastic partial differential equations.
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Notes
- 1.
We stress that there exist two typologies of disorder: the first one, considered in this chapter, is the random fluctuations of the physical variables related to the medium response. This disorder depends on the spatial variable and on the evolution coordinate and it can be treated as a perturbation. The other one is the so-called structural disorder. It is much stronger with respect to the first one and permits also several forms of light localization. The former one is expected to describe material fluctuations as, e.g. due to the temperature, the latter accounts for externally induced potentials, as considered in the Chap. 4.
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© 2012 Springer Science+Business Media Dordrecht
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Folli, V. (2012). Weakly Disordered Nonlinear Schroedinger Equation. In: Nonlinear Optics and Laser Emission through Random Media. Springer Theses. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-4513-1_3
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DOI: https://doi.org/10.1007/978-94-007-4513-1_3
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