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Proceedings Paper

Long-range transmission of solitons in random media
Author(s): Josselin C. Garnier; Fatkhulla Kh. Abdullaev
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Paper Abstract

A statistical approach of the propagation of solitons in media with spatially random perturbations is developed. Applying the inverse scattering transform several regimes are put into evidence which are determined by the mass and the velocity of the incoming soliton and also by the correlation length of the perturbation. The mass of the transmitted soliton may tend to zero exponentially (as a function of the size of the slab) or following a power law; or else the soliton may keep its mass if it is initially large enough, while its velocity decreases at a logarithmic rate or even slower. Numerical simulations are in good agreement with the theoretical results.

Paper Details

Date Published: 12 April 2001
PDF: 11 pages
Proc. SPIE 4271, Optical Pulse and Beam Propagation III, (12 April 2001); doi: 10.1117/12.424697
Show Author Affiliations
Josselin C. Garnier, Ecole Polytechnique (France)
Fatkhulla Kh. Abdullaev, Physical-Technical Institute (Uzbekistan)

Published in SPIE Proceedings Vol. 4271:
Optical Pulse and Beam Propagation III
Yehuda B. Band, Editor(s)

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