A higher-order perturbation analysis of the nonlinear Schrödinger equation

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"A well-known and thoroughly studied phenomenon in nonlinear wave propagation is that of modulation instability (MI). MI is usually approached as a perturbation to a pump, and its analysis is based on preserving only terms which are linear on the perturbation, discarding those of higher order....

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Autores principales: Bonetti, Juan I., Hernández, Santiago M., Fierens, Pablo Ignacio, Grosz, Diego
Formato: Artículos de Publicaciones Periódicas acceptedVersion
Lenguaje:Inglés
Publicado: 2020
Materias:
MODULACION
FIBRAS OPTICAS
RUIDO
ECUACIONES DE SCHRÖDINGER
PERTURBACION
DISPERSION RAMAN
Acceso en línea:http://ri.itba.edu.ar/handle/123456789/1913
Aporte de:
Repositorio Institucional Instituto Tecnológico de Buenos Aires (ITBA) de Instituto Tecnológico de Buenos Aires (ITBA)
id I32-R138-123456789-1913
record_format dspace
spelling I32-R138-123456789-19132022-12-07T13:07:04Z A higher-order perturbation analysis of the nonlinear Schrödinger equation Bonetti, Juan I. Hernández, Santiago M. Fierens, Pablo Ignacio Grosz, Diego MODULACION FIBRAS OPTICAS RUIDO ECUACIONES DE SCHRÖDINGER PERTURBACION DISPERSION RAMAN "A well-known and thoroughly studied phenomenon in nonlinear wave propagation is that of modulation instability (MI). MI is usually approached as a perturbation to a pump, and its analysis is based on preserving only terms which are linear on the perturbation, discarding those of higher order. In this sense, the linear MI analysis is relevant to the understanding of the onset of many other nonlinear phenomena, such as supercontinuum generation, but it has limitations as it can only be applied to the propagation of the perturbation over short distances. In this work, we propose approximations to the propagation of a perturbation, consisting of additive white noise, that go beyond the linear modulation instability analysis, and show them to be in excellent agreement with numerical simulations and experimental measurements." 2020-03-25T13:54:34Z 2020-03-25T13:54:34Z 2019-06 Artículos de Publicaciones Periódicas info:eu-repo/semantics/acceptedVersion 1007-5704 http://ri.itba.edu.ar/handle/123456789/1913 en info:eu-repo/semantics/altIdentifier/doi/10.1016/j.cnsns.2018.12.010 info:eu-repo/grantAgreement/CONICET/PIP/1122015/0100001CO/AR. Ciudad Autónoma de Buenos Aires application/pdf
institution Instituto Tecnológico de Buenos Aires (ITBA)
institution_str I-32
repository_str R-138
collection Repositorio Institucional Instituto Tecnológico de Buenos Aires (ITBA)
language Inglés
topic MODULACION
FIBRAS OPTICAS
RUIDO
ECUACIONES DE SCHRÖDINGER
PERTURBACION
DISPERSION RAMAN
spellingShingle MODULACION
FIBRAS OPTICAS
RUIDO
ECUACIONES DE SCHRÖDINGER
PERTURBACION
DISPERSION RAMAN
Bonetti, Juan I.
Hernández, Santiago M.
Fierens, Pablo Ignacio
Grosz, Diego
A higher-order perturbation analysis of the nonlinear Schrödinger equation
topic_facet MODULACION
FIBRAS OPTICAS
RUIDO
ECUACIONES DE SCHRÖDINGER
PERTURBACION
DISPERSION RAMAN
description "A well-known and thoroughly studied phenomenon in nonlinear wave propagation is that of modulation instability (MI). MI is usually approached as a perturbation to a pump, and its analysis is based on preserving only terms which are linear on the perturbation, discarding those of higher order. In this sense, the linear MI analysis is relevant to the understanding of the onset of many other nonlinear phenomena, such as supercontinuum generation, but it has limitations as it can only be applied to the propagation of the perturbation over short distances. In this work, we propose approximations to the propagation of a perturbation, consisting of additive white noise, that go beyond the linear modulation instability analysis, and show them to be in excellent agreement with numerical simulations and experimental measurements."
format Artículos de Publicaciones Periódicas
acceptedVersion
author Bonetti, Juan I.
Hernández, Santiago M.
Fierens, Pablo Ignacio
Grosz, Diego
author_facet Bonetti, Juan I.
Hernández, Santiago M.
Fierens, Pablo Ignacio
Grosz, Diego
author_sort Bonetti, Juan I.
title A higher-order perturbation analysis of the nonlinear Schrödinger equation
title_short A higher-order perturbation analysis of the nonlinear Schrödinger equation
title_full A higher-order perturbation analysis of the nonlinear Schrödinger equation
title_fullStr A higher-order perturbation analysis of the nonlinear Schrödinger equation
title_full_unstemmed A higher-order perturbation analysis of the nonlinear Schrödinger equation
title_sort higher-order perturbation analysis of the nonlinear schrödinger equation
publishDate 2020
url http://ri.itba.edu.ar/handle/123456789/1913
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