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: 2019
Materias:
FIBRAS OPTICAS
MODULACION
RUIDO
ESTABILIDAD
ECUACIONES DE SCHRÖDINGER
PERTURBACION
Acceso en línea:http://ri.itba.edu.ar/handle/123456789/1783
Aporte de:
Repositorio Institucional Instituto Tecnológico de Buenos Aires (ITBA) de Instituto Tecnológico de Buenos Aires (ITBA)
id I32-R138-123456789-1783
record_format dspace
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 FIBRAS OPTICAS
MODULACION
RUIDO
ESTABILIDAD
ECUACIONES DE SCHRÖDINGER
PERTURBACION
spellingShingle FIBRAS OPTICAS
MODULACION
RUIDO
ESTABILIDAD
ECUACIONES DE SCHRÖDINGER
PERTURBACION
Bonetti, Juan I.
Hernández, Santiago M.
Fierens, Pablo Ignacio
Grosz, Diego
A higher-order perturbation analysis of the nonlinear Schrödinger equation
topic_facet FIBRAS OPTICAS
MODULACION
RUIDO
ESTABILIDAD
ECUACIONES DE SCHRÖDINGER
PERTURBACION
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 2019
url http://ri.itba.edu.ar/handle/123456789/1783
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