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Title: Self-similar propagation in a graded-index nonlinear-fiber amplifier with an external source

Abstract

We present exact analytical solutions describing spatial bright, trigonometric, and kink-type of self-similar waves, as well as the trains of such waves to the nonlinear Schroedinger equation appropriately modified to model beam propagation in graded-index, nonlinear fiber amplifier with an external source. We show that this model is appropriate for the self-similar propagation in asymmetric twin-core fiber amplifier. The asymmetric twin-core fiber is composed of two adjoining, closely spaced, single mode fibers in which the active one is a graded-index nonlinear fiber and the passive one is a step-index fiber. We obtain these self-similar waves using a Moebius transformation. Our procedure is applicable both for self-focusing and self-defocusing Kerr nonlinearities.

Authors:
;  [1]
  1. 15647 Avenida Alcachofa, San Diego, California 92128 (United States)
Publication Date:
OSTI Identifier:
21408717
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 81; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevA.81.043820; (c) 2010 The American Physical Society; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AMPLIFIERS; ANALYTICAL SOLUTION; ASYMMETRY; FOCUSING; NONLINEAR PROBLEMS; SCHROEDINGER EQUATION; TRANSFORMATIONS; DIFFERENTIAL EQUATIONS; ELECTRONIC EQUIPMENT; EQUATIONS; EQUIPMENT; MATHEMATICAL SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS

Citation Formats

Raju, Thokala Soloman, Panigrahi, Prasanta K, and Indian Institute of Science Education and Research. Self-similar propagation in a graded-index nonlinear-fiber amplifier with an external source. United States: N. p., 2010. Web. doi:10.1103/PHYSREVA.81.043820.
Raju, Thokala Soloman, Panigrahi, Prasanta K, & Indian Institute of Science Education and Research. Self-similar propagation in a graded-index nonlinear-fiber amplifier with an external source. United States. https://doi.org/10.1103/PHYSREVA.81.043820
Raju, Thokala Soloman, Panigrahi, Prasanta K, and Indian Institute of Science Education and Research. Thu . "Self-similar propagation in a graded-index nonlinear-fiber amplifier with an external source". United States. https://doi.org/10.1103/PHYSREVA.81.043820.
@article{osti_21408717,
title = {Self-similar propagation in a graded-index nonlinear-fiber amplifier with an external source},
author = {Raju, Thokala Soloman and Panigrahi, Prasanta K and Indian Institute of Science Education and Research},
abstractNote = {We present exact analytical solutions describing spatial bright, trigonometric, and kink-type of self-similar waves, as well as the trains of such waves to the nonlinear Schroedinger equation appropriately modified to model beam propagation in graded-index, nonlinear fiber amplifier with an external source. We show that this model is appropriate for the self-similar propagation in asymmetric twin-core fiber amplifier. The asymmetric twin-core fiber is composed of two adjoining, closely spaced, single mode fibers in which the active one is a graded-index nonlinear fiber and the passive one is a step-index fiber. We obtain these self-similar waves using a Moebius transformation. Our procedure is applicable both for self-focusing and self-defocusing Kerr nonlinearities.},
doi = {10.1103/PHYSREVA.81.043820},
url = {https://www.osti.gov/biblio/21408717}, journal = {Physical Review. A},
issn = {1050-2947},
number = 4,
volume = 81,
place = {United States},
year = {2010},
month = {4}
}