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  • Vol. 23, Iss. 14 — Jul. 15, 1998
  • pp: 1090–1092

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

Yu. B. Gaididei and *P. L. Christiansen  »View Author Affiliations


Optics Letters, Vol. 23, Issue 14, pp. 1090-1092 (1998)
http://dx.doi.org/10.1364/OL.23.001090


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Abstract

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.

© 1998 Optical Society of America

OCIS Codes
(120.5710) Instrumentation, measurement, and metrology : Refraction
(230.7370) Optical devices : Waveguides
(320.5550) Ultrafast optics : Pulses

Citation
Yu. B. Gaididei and *P. L. Christiansen, "Spatiotemporal collapse in a nonlinear waveguide with a randomly fluctuating refractive index," Opt. Lett. 23, 1090-1092 (1998)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-23-14-1090


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