Quasi-analytical perturbation analysis of the generalized nonlinear Schrödinger equation

Bonetti, Juan I.; Hernández, Santiago M.; Fierens, Pablo Ignacio; Temprana, Eduardo G.; Grosz, Diego

Artículo de Publicación Periódica:
Quasi-analytical perturbation analysis of the generalized nonlinear Schrödinger equation

dc.contributor.author	Bonetti, Juan I.
dc.contributor.author	Hernández, Santiago M.
dc.contributor.author	Fierens, Pablo Ignacio
dc.contributor.author	Temprana, Eduardo G.
dc.contributor.author	Grosz, Diego
dc.date.accessioned	2019-10-24T14:33:09Z
dc.date.available	2019-10-24T14:33:09Z
dc.date.issued	2019
dc.description.abstract	"The Generalized Nonlinear Schrödinger Equation (GNLSE) finds several applications, especially in describing pulse propagation in nonlinear fiber optics. A well-known and thoroughly studied phenomenon in nonlinear wave propagation is that of modulation instability (MI). MI is approached as a weak perturbation to a pump and the analysis is based on preserving those terms linear on the perturbation and disregarding higher-order terms. In this sense, the linear MI analysis is relevant to the understanding of the onset of many other nonlinear phenomena, but its application is limited to the evolution of the perturbation over short distances. In this work, we propose quasi-analytical approximations to the propagation of a perturbation consisting of additive white noise that go beyond the linear modulation instability analysis. Moreover, we show these approximations to be in excellent agreement with numerical simulations and experimental measurements. "	en
dc.identifier.issn	1860-0832
dc.identifier.uri	http://ri.itba.edu.ar/handle/123456789/1805
dc.language.iso	en	en
dc.relation	info:eu-repo/semantics/altIdentifier/doi/10.1007/978-3-030-10892-2_24
dc.relation	info:eu-repo/grantAgreement/FONCyT/PI2015/AR. Ciudad Autónoma de Buenos Aires
dc.relation	info:eu-repo/grantAgreement/ONR Global/Visiting Scientists Program/
dc.subject	PERTURBACION	es
dc.subject	ONDAS	es
dc.subject	MODULACION	es
dc.subject	FIBRAS OPTICAS	es
dc.subject	ECUACIONES DE SCHRÖDINGER	es
dc.title	Quasi-analytical perturbation analysis of the generalized nonlinear Schrödinger equation	en
dc.type	Artículos de Publicaciones Periódicas	es
dc.type	info:eu-repo/semantics/acceptedVersion
dspace.entity.type	Artículo de Publicación Periódica
itba.description.filiation	Fil: Bonetti, Juan I. Instituto Balseiro; Argentina.
itba.description.filiation	Fil: Bonetti, Juan I. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.
itba.description.filiation	Fil: Hernández, Santiago M. Instituto Balseiro; Argentina.
itba.description.filiation	Fil: Fierens, Pablo Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.
itba.description.filiation	Fil: Fierens, Pablo Ignacio. Instituto Tecnológico de Buenos Aires; Argentina.
itba.description.filiation	Fil: Temprana, Eduardo G. Universidad de California; Estados Unidos.
itba.description.filiation	Fil: Grosz, Diego. Instituto Balseiro; Argentina.
itba.description.filiation	Fil: Grosz, Diego. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.