Spatiotemporal collapse in a nonlinear waveguide with a randomly fluctuating refractive index

Analytical results, based on the virial theorem and the Furutsu-Novikov theorem, of the spatiotemporal evolution of a pulse in a nonlinear waveguide with a randomly fluctuating refractive index are presented. For initial conditions in which total collapse occurs in a homogeneous waveguide, random fl...

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Bibliographic Details
Published in:Optics letters 1998-07, Vol.23 (14), p.1090-1092
Main Authors: Gaididei, Y B, Christiansen, P L
Format: Article
Language:English
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Summary:Analytical results, based on the virial theorem and the Furutsu-Novikov theorem, of the spatiotemporal evolution of a pulse in a nonlinear waveguide with a randomly fluctuating refractive index are presented. For initial conditions in which total collapse occurs in a homogeneous waveguide, random fluctuations postpone the collapse. Sufficiently large-amplitude and short-wavelength fluctuations can cause an initially localized pulse to spread instead of contracting. We show that the disorder can be applied to induce a high degree of controllability of the spatiotemporal extent of the pulses in the nonlinear waveguide.
ISSN:0146-9592
1539-4794
DOI:10.1364/OL.23.001090