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## Shedding in addition to Interaction of solitons in imperfect medium Misha Chertkov (Theoret

Lazere, Arthur, Founder/Editor has reference to this Academic Journal, PHwiki organized this Journal Shedding in addition to Interaction of solitons in imperfect medium Misha Chertkov (Theoretical Division, LANL) LANL, 02/05/03 “Statistical Physics of Fiber Optics Communications Zoltan Toroczkai (LANL) Pavel Lushnikov (LANL) Jamison Moeser (Brown U) Tobias Schaefer (Brown U) Avner Peleg (LANL) In collaboration with Ildar Gabitov (LANL) Igor Kolokolov (Budker Inst.) Vladimir Lebedev (L in addition to au Inst.) Yeo-Jin Chung (LANL) Sasha Dyachenko (L in addition to au Inst.) What was the idea Fiber Optics. Statistics. What we did first (Pinning method of pulse confinement in a fiber with fluctuating dispersion) What we did recently (Shedding in addition to interaction of solitons in imperfect medium) Other activities in addition to plans (Polarization Mode Dispersion, Wave-length Division Mulitplexing, Dispersion Management, etc) Suggestions as long as Extensive DNS, Experiment, Field Trials Fiber Electrodynamics

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Nonlinear Schrodinger Equation Model A Dispersion management Model B Lin, Kogelnik, Cohen 80 dispersion compensation aims to prevent broadening of the pulse (in linear regime) four wave mixing (nonlinearity) is suppressed effect of additive noise is suppressed Noise in dispersion. Statistical Description. Questions: Does an initially localized pulse survive propagation Are probability distribution functions of various pulse parameters getting steady DSF, Gripp, Mollenauer Opt. Lett. 23, 1603, 1998 Optical-time-domain-reflection method. Measurements from only one end of fiber by phase mismatch at the Stokes frequency Mollenauer, Mamyshev, Neubelt 96

Question: Is there a constraint that one can impose on the r in addition to om chromatic dispersion to reduce pulse broadening Noise is strong D >> 1 Pinning method Constraint prescription: the accumulated dispersion should be pinned to zero periodically or quasi-periodically Restricted (pinned) noise Model A

Restricted (pinned) noise. DM case. Weak nonlinearity

Numerical Simulations Fourier split-step scheme Fourier modes Model A Model B

Moral Practical recommendations as long as improving fiber system per as long as mance that is limited by r in addition to omness in chromatic dispersion. The limitation originates from the accumulation of the integral dispersion. The distance between naturally occurring nearest zeros grows with fiber length. This growth causes pulse degradation. We have shown that the signal can be stabilized by periodic or quasi-periodic pinning of the accumulated dispersion. M.Chertkov,I. Gabitov,J.Moeser US patent+PNAS 98, 14211 (2001) M.C.,I.G., P. Lushnikov, Z.Toroczkai, JOSAB (2002) M.Chertkov,I. Gabitov, I.Kolokolov, V.Lebedev, JETP Lett. 10/01 MC, Y. Chung, A. Dyachenko, IG,IK,VL PRE Feb 2003 Shedding in addition to Interaction of solitons in imperfect medium Model A

Single Soliton Story Asymptotic freedom: soliton is distinguishable from the radiation at any z Self-averaging Radiation tail + as long as erunner Interaction of Shedding Solitons

Soliton position shift is Gaussian zero mean r in addition to om variable Multi-soliton case Infinite pattern (continuous flow of in as long as mation) The z-dependence is similar to the one described by Elgin-Gordon-Haus jitter Pinning Bare case Pinned case Single soliton decay Two-soliton interaction

Statistical Physics of Fiber Communications We planned to addressed: Single pulse dynamics Fluctuating dispersion Dispersion Management in addition to Fluctuations Raman term +noise Polarization Mode Dispersion Additive (Elgin-Gordon-Hauss) noise optimization Joint effect of the additive in addition to multiplicative noises Mutual equilibrium of a pulse in addition to radiation closed in a box (wave turbulence on a top of a pulse) driven by a noise Many-pulse, -channel interaction Statistics of the noise driven by the interaction Suppression of the four-wave mixing (ghost pulses) by the pinning Dynamics in a channel under the WDM Multi mode fibers noise induced enhancement of the in as long as mation flow

## Lazere, Arthur Founder/Editor

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