Modified nonlinear Schrödinger equation for frequency-dependent nonlinear profiles of arbitrary sign

Bonetti, Juan I.; Linale, N.; Sánchez, Alfredo D.; Hernández, Santiago M.; Fierens, Pablo Ignacio; Grosz, Diego

artículo de publicación periódica.page.titleprefix
Modified nonlinear Schrödinger equation for frequency-dependent nonlinear profiles of arbitrary sign

dc.contributor.author	Bonetti, Juan I.
dc.contributor.author	Linale, N.
dc.contributor.author	Sánchez, Alfredo D.
dc.contributor.author	Hernández, Santiago M.
dc.contributor.author	Fierens, Pablo Ignacio
dc.contributor.author	Grosz, Diego
dc.date	2020
dc.date.accessioned	2022-11-17T18:17:52Z
dc.date.available	2022-11-17T18:17:52Z
dc.date.issued	2019
dc.description.abstract	In recent times, materials exhibiting frequency-dependent optical nonlinearities, such as nanoparticle-doped glasses and other metamaterials, have gathered significant interest. The simulation of the propagation of intense light pulses in such media, by means of the nonlinear Schrödinger equation (NLSE), poses the problem in that straightforward inclusion of a frequency-dependent nonlinearity may lead to unphysical results, namely, neither the energy nor the photon number is conserved in general. Inspired by a simple quantum-mechanical argument, we derive an energy- and photon-conserving NLSE (pcNLSE). Unlike others, our approach relies only on the knowledge of the frequency-dependent nonlinearity profile and a generalization of Miller’s rule for nonlinear susceptibility, enabling the simulation of nonlinear profiles of arbitrary frequency dependence and sign. Moreover, the proposed pcNLSE can be efficiently solved by the same numerical techniques commonly used to deal with the NLSE. Relevant simulation results supporting our theoretical approach are presented.	en
dc.identifier.issn	0740-3224
dc.identifier.uri	https://ri.itba.edu.ar/handle/123456789/4032
dc.language.iso	en
dc.relation	info:eu-repo/semantics/altIdentifier/doi/10.1364/JOSAB.36.003139
dc.rights	info:eu-repo/semantics/embargoedAccess
dc.subject	ECUACIONES DE SCHRÖDINGER	es
dc.subject	ECUACIONES DIFERENCIALES NO LINEALES	es
dc.subject	OPTICA NO LINEAL	es
dc.title	Modified nonlinear Schrödinger equation for frequency-dependent nonlinear profiles of arbitrary sign	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. Comisión Nacional de Energía Atómica; Argentina.
itba.description.filiation	Fil: Bonetti, Juan I. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.
itba.description.filiation	Fil: Linale, L. Comisión Nacional de Energía Atómica; Argentina.
itba.description.filiation	Fil: Linale, L. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.
itba.description.filiation	Fil: Sánchez, Alfredo D. Comisión Nacional de Energía Atómica; Argentina.
itba.description.filiation	Fil: Sánchez, Alfredo D. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.
itba.description.filiation	Fil: Hernández, Santiago M. Comisión Nacional de Energía Atómica; Argentina.
itba.description.filiation	Fil: Hernández, Santiago M. Instituto Balseiro; Argentina.
itba.description.filiation	Fil: Fierens, Pablo Ignacio. Instituto Tecnológico de Buenos Aires; Argentina.
itba.description.filiation	Fil: Fierens, Pablo Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.
itba.description.filiation	Fil: Grosz, Diego. Comisión Nacional de Energía Atómica; Argentina.
itba.description.filiation	Fil: Grosz, Diego. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.