Long-range transmission of solitons in random media

Josselin C. Garnier; Fatkhulla Kh. Abdullaev

doi:10.1117/12.424697

12 April 2001 Long-range transmission of solitons in random media

Josselin C. Garnier, Fatkhulla Kh. Abdullaev

Proceedings Volume 4271, Optical Pulse and Beam Propagation III; (2001) https://doi.org/10.1117/12.424697
Event: Photonics West 2001 - LASE, 2001, San Jose, CA, United States

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.

Citation Download Citation

Josselin C. Garnier and Fatkhulla Kh. Abdullaev "Long-range transmission of solitons in random media", Proc. SPIE 4271, Optical Pulse and Beam Propagation III, (12 April 2001); https://doi.org/10.1117/12.424697

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