Soliton solutions and self-steepening in the photon-conserving nonlinear Schrödinger equation

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

Artículo de Publicación Periódica:
Soliton solutions and self-steepening in the photon-conserving nonlinear Schrödinger equation

dc.contributor.author	Hernández, Santiago M.
dc.contributor.author	Bonetti, Juan I.
dc.contributor.author	Linale, N.
dc.contributor.author	Grosz, Diego
dc.contributor.author	Fierens, Pablo Ignacio
dc.date	info:eu-repo/date/embargoEnd/2022-01-01
dc.date.accessioned	2021-01-22T01:30:26Z
dc.date.available	2021-01-22T01:30:26Z
dc.date.issued	2020-12-09
dc.description.abstract	"We have recently introduced a new modeling equation for the propagation of pulses in optical waveguides, the photon-conserving Nonlinear Schrödinger Equation (pcNLSE) which, unlike the canonical NLSE, guarantees strict conservation of both the energy and the number of photons for any arbitrary frequency-dependent nonlinearity. In this paper, we analyze some properties of this new equation in the familiar case where the nonlinear coefficient of the waveguide does not change sign. We show that the pcNLSE effectively adds a correction term to the NLSE proportional to the deviation of the self-steepening (SS) parameter from the photon-conserving condition in the NLSE. Furthermore, we describe the role of the self-steepening parameter in the context of the conservation of the number of photons and derive an analytical expression for the relation of the SS parameter with the time delay experienced by pulses upon propagation. Finally, we put forth soliton-like solutions of the pcNLSE that, unlike NLSE solitons, conserve the number of photons for any arbitrary SS parameter. "	en
dc.identifier.issn	1745-5030
dc.identifier.uri	http://ri.itba.edu.ar/handle/123456789/3309
dc.language.iso	en	en
dc.relation	info:eu-repo/semantics/altIdentifier/doi/10.1080/17455030.2020.1856970
dc.rights	info:eu-repo/semantics/embargoedAccess
dc.subject	SOLITONES	es
dc.subject	OPTICA NO LINEAL	es
dc.subject	ECUACIONES DIFERENCIALES NO LINEALES	es
dc.title	Soliton solutions and self-steepening in the photon-conserving 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: Hernández, Santiago M. Instituto Balseiro; Argentina.
itba.description.filiation	Fil: Hernández, Santiago M. Universidad Nacional de Cuyo; Argentina.
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: Grosz, Diego. Comisión Nacional de Energía Atómica; Argentina.
itba.description.filiation	Fil: Grosz, Diego. Consejo Nacional de Investigaciones Científicas y Técnicas; 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.