Variational methods in nonlinear fiber optics and related fields

BA Malomed - Progress in optics, 2002 - Elsevier
The mathematical basis of nonlinear optics is Maxwell's system of equations governing
propagation of electromagnetic waves in a material medium, combined with relations …

Stochastic perturbation of optical solitons in Schrödinger–Hirota equation

A Biswas - Optics communications, 2004 - Elsevier
The soliton perturbation theory is used to study and analyze the stochastic perturbation of
optical solitons, governed by the Schrödinger–Hirota equation, in addition to deterministic …

Optical solitons in random media

F Abdullaev, J Garnier - Progress in optics, 2005 - Elsevier
Publisher Summary This chapter provides a description of the present status of theory and
experiment about propagation and interaction of optical solitons in random media. A short …

Propagation of an optical pulse in a fiber link with random-dispersion management

BA Malomed, A Berntson - JOSA B, 2001 - opg.optica.org
A model of a long optical communication line consisting of alternating segments with
anomalous and normal dispersion, whose lengths are picked randomly from a certain …

Stochastic perturbation of dispersion-managed optical solitons

A Biswas - Optical and quantum electronics, 2005 - Springer
The stochastic perturbation of dispersion-managed optical solitons is studied in this paper,
in addition to deterministic preturbation terms, by the aid of soliton perturbation theory. The …

Pulse confinement in optical fibers with random dispersion

M Chertkov, I Gabitov, J Moeser - Proceedings of the …, 2001 - National Acad Sciences
Short-range correlated uniform noise in the dispersion coefficient, inherent in many types of
optical fibers, broadens and eventually destroys all initially ultra-short pulses. However …

Stochastic perturbation of non-Kerr law optical solitons

A Biswas, H Ren, S Konar - Optik, 2007 - Elsevier
The dynamics of optical solitons with non-Kerr law non-linearities, in presence of stochastic
perturbation terms, is studied in this paper. The Langevin equations are derived and it is …

Stable propagation and all-optical switching in planar waveguide–antiwaveguide periodic structures

A Kaplan, BV Gisin, BA Malomed - JOSA B, 2002 - opg.optica.org
A planar periodic nonlinear structure composed of alternating waveguiding (WG) and
antiwaveguiding (AWG) sections is considered. Detailed simulations demonstrate that fairly …

Stabilization of dispersion-managed solitons in random optical fibers by strong dispersion management

J Garnier - Optics communications, 2002 - Elsevier
The propagation of dispersion-managed solitons in optical fibers with randomly perturbed
dispersion maps is considered. The interplay between the periodic dispersion management …

Solitons in regular and random split-step systems

R Driben, BA Malomed, PL Chu - JOSA B, 2003 - opg.optica.org
Fundamental properties of solitons in the recently introduced split-step model (SSM) are
investigated. The SSM is a system that consists of periodically alternating dispersive and …