Cross-talk dynamics of optical solitons in a broadband Kerr nonlinear system with weak cubic loss

Journal Article · Mon Nov 15 04:00:00 EST 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.053830· OSTI ID:21528746

Peleg, Avner; Nguyen, Quan M; Chung, Yeojin ^[1]

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1. Department of Mathematics, State University of New York at Buffalo, Buffalo, New York 14260 (United States)

We study the dynamics of fast soliton collisions in a Kerr nonlinear optical waveguide with weak cubic loss. We obtain analytic expressions for the amplitude and frequency shifts in a single two-soliton collision and show that the impact of a fast three-soliton collision is given by the sum of the two-soliton interactions. Our analytic predictions are confirmed by numerical simulations with the perturbed nonlinear Schroedinger (NLS) equation. Furthermore, we show that the deterministic collision-induced dynamics of soliton amplitudes in a broadband waveguide system with N frequency channels is described by a Lotka-Volterra model for N competing species. For a two-channel system we find that stable transmission with equal prescribed amplitudes can be achieved by a proper choice of linear amplifier gain. The predictions of the Lotka-Volterra model are confirmed by numerical solution of a perturbed coupled-NLS model.

• OSTI ID: 21528746
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 82; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
AMPLITUDES
COLLISIONS
COMPUTERIZED SIMULATION
DIFFERENTIAL EQUATIONS
EQUATIONS
GRAVITATIONAL FIELDS
INTERACTIONS
KERR FIELD
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
QUASI PARTICLES
SCHROEDINGER EQUATION
SIMULATION
SOLITONS
WAVE EQUATIONS
WAVEGUIDES