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Title: Propagation and breakup of pulses in fiber amplifiers and dispersion-decreasing fibers with third-order dispersion

Abstract

We develop a theory for pulses propagating in normal dispersion fiber amplifiers with constant and varying gain, and for dispersion-decreasing fibers, including the effect of third-order dispersion. These solutions of the generalized nonlinear Schroedinger equation are based on asymptotical methods, first-order perturbation theory, and a renormalization procedure. We have also found an explicit equation for the critical length corresponding to pulse breakup and a criterion which ensure the accuracy of the asymptotic solutions. This criterion is confirmed numerically, showing that the analytical description of the pulses and the critical length formulas developed here for fiber amplifiers and dispersion-decreasing fibers with third-order dispersion are very accurate.

Authors:
; ;  [1]
  1. Physics Department, University of Auckland, Private Bag 92019, Auckland (New Zealand)
Publication Date:
OSTI Identifier:
22068565
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 84; Journal Issue: 2; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ACCURACY; ASYMPTOTIC SOLUTIONS; FIBERS; GAIN; NONLINEAR PROBLEMS; OPTICAL DISPERSION; PERTURBATION THEORY; PULSES; SCHROEDINGER EQUATION

Citation Formats

Kruglov, Vladimir I, Aguergaray, Claude, and Harvey, John D. Propagation and breakup of pulses in fiber amplifiers and dispersion-decreasing fibers with third-order dispersion. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.84.023823.
Kruglov, Vladimir I, Aguergaray, Claude, & Harvey, John D. Propagation and breakup of pulses in fiber amplifiers and dispersion-decreasing fibers with third-order dispersion. United States. doi:10.1103/PHYSREVA.84.023823.
Kruglov, Vladimir I, Aguergaray, Claude, and Harvey, John D. Mon . "Propagation and breakup of pulses in fiber amplifiers and dispersion-decreasing fibers with third-order dispersion". United States. doi:10.1103/PHYSREVA.84.023823.
@article{osti_22068565,
title = {Propagation and breakup of pulses in fiber amplifiers and dispersion-decreasing fibers with third-order dispersion},
author = {Kruglov, Vladimir I and Aguergaray, Claude and Harvey, John D},
abstractNote = {We develop a theory for pulses propagating in normal dispersion fiber amplifiers with constant and varying gain, and for dispersion-decreasing fibers, including the effect of third-order dispersion. These solutions of the generalized nonlinear Schroedinger equation are based on asymptotical methods, first-order perturbation theory, and a renormalization procedure. We have also found an explicit equation for the critical length corresponding to pulse breakup and a criterion which ensure the accuracy of the asymptotic solutions. This criterion is confirmed numerically, showing that the analytical description of the pulses and the critical length formulas developed here for fiber amplifiers and dispersion-decreasing fibers with third-order dispersion are very accurate.},
doi = {10.1103/PHYSREVA.84.023823},
journal = {Physical Review. A},
issn = {1050-2947},
number = 2,
volume = 84,
place = {United States},
year = {2011},
month = {8}
}