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Title: Stochastic simulation of pulses in nonlinear-optical fibers with random birefringence

Abstract

Numerical simulations of nonlinear pulse propagation in optical fibers with randomly varying birefringence are presented. For short-length-scale randomness the dominant effect is due to phase-velocity birefringence and produces a probabilistic uncertainty that increases with propagation distance for the expected value of the pulse's polarization state. An approximate evolution equation for the probability distribution of the polarization state was derived previously [Physica D [bold 55], 166 (1992)]. Comparisons between this distribution and Monte Carlo simulations are presented that demonstrate the validity of the analytical results. The simulations also show that the polarization state of a pulse is completely randomized on the longer soliton-period length scale. This provides justification for the assumption of a uniformly distributed polarization state used in previous analyses of this problem [Opt. Lett. [bold 16], 1231 (1991); J. Lightwave Technol. [bold 10], 28 (1992)]. Furthermore, the higher-order effects of group birefringence are assessed. In particular, the polarization-state fluctuations induced by the randomness are shown to reduce significantly the effects of pulse splitting and dispersive radiation loss caused by group-velocity birefringence.

Authors:
 [1];  [2]
  1. Computer Research Group (C-3), Los Alamos National Laboratory, MS B258, Los Alamos, New Mexico 87545 (United States)
  2. Engineering Sciences and Applied Mathematics, McCormick School of Engineering and Applied Science, Northwestern University, Evanston, Illinois 60208 (United States)
Publication Date:
OSTI Identifier:
7042382
DOE Contract Number:  
W-7405-ENG-36
Resource Type:
Journal Article
Journal Name:
Journal of the Optical Society of America, Part B: Optical Physics; (United States)
Additional Journal Information:
Journal Volume: 11:5; Journal ID: ISSN 0740-3224
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; OPTICAL FIBERS; SOLITONS; BIREFRINGENCE; MONTE CARLO METHOD; NONLINEAR OPTICS; NUMERICAL SOLUTION; POLARIZATION; SCHROEDINGER EQUATION; SIMULATION; CALCULATION METHODS; DIFFERENTIAL EQUATIONS; EQUATIONS; FIBERS; OPTICS; PARTIAL DIFFERENTIAL EQUATIONS; QUASI PARTICLES; REFRACTION; WAVE EQUATIONS; 661300* - Other Aspects of Physical Science- (1992-)

Citation Formats

Ueda, T, and Kath, W L. Stochastic simulation of pulses in nonlinear-optical fibers with random birefringence. United States: N. p., 1994. Web. doi:10.1364/JOSAB.11.000818.
Ueda, T, & Kath, W L. Stochastic simulation of pulses in nonlinear-optical fibers with random birefringence. United States. doi:10.1364/JOSAB.11.000818.
Ueda, T, and Kath, W L. Sun . "Stochastic simulation of pulses in nonlinear-optical fibers with random birefringence". United States. doi:10.1364/JOSAB.11.000818.
@article{osti_7042382,
title = {Stochastic simulation of pulses in nonlinear-optical fibers with random birefringence},
author = {Ueda, T and Kath, W L},
abstractNote = {Numerical simulations of nonlinear pulse propagation in optical fibers with randomly varying birefringence are presented. For short-length-scale randomness the dominant effect is due to phase-velocity birefringence and produces a probabilistic uncertainty that increases with propagation distance for the expected value of the pulse's polarization state. An approximate evolution equation for the probability distribution of the polarization state was derived previously [Physica D [bold 55], 166 (1992)]. Comparisons between this distribution and Monte Carlo simulations are presented that demonstrate the validity of the analytical results. The simulations also show that the polarization state of a pulse is completely randomized on the longer soliton-period length scale. This provides justification for the assumption of a uniformly distributed polarization state used in previous analyses of this problem [Opt. Lett. [bold 16], 1231 (1991); J. Lightwave Technol. [bold 10], 28 (1992)]. Furthermore, the higher-order effects of group birefringence are assessed. In particular, the polarization-state fluctuations induced by the randomness are shown to reduce significantly the effects of pulse splitting and dispersive radiation loss caused by group-velocity birefringence.},
doi = {10.1364/JOSAB.11.000818},
journal = {Journal of the Optical Society of America, Part B: Optical Physics; (United States)},
issn = {0740-3224},
number = ,
volume = 11:5,
place = {United States},
year = {1994},
month = {5}
}