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Title: Propagation of quasisolitons in a fiber Bragg grating written in a slow saturable fiber amplifier

Abstract

We show, by using numerical simulations, that quasisolitons can propagate over a long distance in a fiber Bragg grating that is written in a slow saturable fiber amplifier, such as an erbium-doped fiber amplifier. During the pulse propagation, the front end of the pulse experiences a net gain while the rear end of pulse is attenuated due to the combination of gain saturation and loss. However, the pulse profile almost does not change after propagating over a length of 5 m that is approximately 2500 times larger than the spatial pulse width. The pulse amplitude has an approximately hyperbolic secant profile. We develop a reduced model by using a multiscale analysis to study solitary-wave propagation when nonlinearity and gain are small. When gain saturation also becomes small we find analytically a new family of solitary-wave hyperbolic-secant solutions that approximately solve the reduced model. The solitary waves propagate slightly faster than Bragg solitons that propagate in fiber Bragg gratings without gain and loss.

Authors:
;  [1]
  1. Department of Electrical Engineering, Technion-Israel Institute of Technology, Haifa 32000 (Israel)
Publication Date:
OSTI Identifier:
21546853
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 83; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevA.83.053803; (c) 2011 American Institute of Physics; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 74 ATOMIC AND MOLECULAR PHYSICS; AMPLIFIERS; AMPLITUDES; BRAGG REFLECTION; COMPUTERIZED SIMULATION; DOPED MATERIALS; ERBIUM; GRATINGS; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; OPTICAL FIBERS; PULSES; SATURATION; SOLITONS; WAVE PROPAGATION; ELECTRONIC EQUIPMENT; ELEMENTS; EQUIPMENT; FIBERS; MATERIALS; METALS; QUASI PARTICLES; RARE EARTHS; REFLECTION; SIMULATION

Citation Formats

Shapira, Yuval P, and Horowitz, Moshe. Propagation of quasisolitons in a fiber Bragg grating written in a slow saturable fiber amplifier. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.83.053803.
Shapira, Yuval P, & Horowitz, Moshe. Propagation of quasisolitons in a fiber Bragg grating written in a slow saturable fiber amplifier. United States. https://doi.org/10.1103/PHYSREVA.83.053803
Shapira, Yuval P, and Horowitz, Moshe. Sun . "Propagation of quasisolitons in a fiber Bragg grating written in a slow saturable fiber amplifier". United States. https://doi.org/10.1103/PHYSREVA.83.053803.
@article{osti_21546853,
title = {Propagation of quasisolitons in a fiber Bragg grating written in a slow saturable fiber amplifier},
author = {Shapira, Yuval P and Horowitz, Moshe},
abstractNote = {We show, by using numerical simulations, that quasisolitons can propagate over a long distance in a fiber Bragg grating that is written in a slow saturable fiber amplifier, such as an erbium-doped fiber amplifier. During the pulse propagation, the front end of the pulse experiences a net gain while the rear end of pulse is attenuated due to the combination of gain saturation and loss. However, the pulse profile almost does not change after propagating over a length of 5 m that is approximately 2500 times larger than the spatial pulse width. The pulse amplitude has an approximately hyperbolic secant profile. We develop a reduced model by using a multiscale analysis to study solitary-wave propagation when nonlinearity and gain are small. When gain saturation also becomes small we find analytically a new family of solitary-wave hyperbolic-secant solutions that approximately solve the reduced model. The solitary waves propagate slightly faster than Bragg solitons that propagate in fiber Bragg gratings without gain and loss.},
doi = {10.1103/PHYSREVA.83.053803},
url = {https://www.osti.gov/biblio/21546853}, journal = {Physical Review. A},
issn = {1050-2947},
number = 5,
volume = 83,
place = {United States},
year = {2011},
month = {5}
}