Compactification tuning for nonlinear localized modes in sawtooth lattices
Johansson, M. ; Naether, U. ; Vicencio, R.A.
Resumen: We discuss the properties of nonlinear localized modes in sawtooth lattices, in the framework of a discrete nonlinear Schrödinger model with general on-site nonlinearity. Analytic conditions for existence of exact compact three-site solutions are obtained, and explicitly illustrated for the cases of power-law (cubic) and saturable nonlinearities. These nonlinear compact modes appear as continuations of linear compact modes belonging to a flat dispersion band. While for the linear system a compact mode exists only for one specific ratio of the two different coupling constants, nonlinearity may lead to compactification of otherwise noncompact localized modes for a range of coupling ratios, at some specific power. For saturable lattices, the compactification power can be tuned by also varying the nonlinear parameter. Introducing different on-site energies and anisotropic couplings yields further possibilities for compactness tuning. The properties of strongly localized modes are investigated numerically for cubic and saturable nonlinearities, and in particular their stability over large parameter regimes is shown. Since the linear flat band is isolated, its compact modes may be continued into compact nonlinear modes both for focusing and defocusing nonlinearities. Results are discussed in relation to recent realizations of sawtooth photonic lattices.
Idioma: Inglés
DOI: 10.1103/PhysRevE.92.032912
Año: 2015
Publicado en: Physical Review E 92, 3 (2015), 032912 [11pp.]
ISSN: 2470-0045
Factor impacto JCR: 2.252 (2015)
Categ. JCR: PHYSICS, MATHEMATICAL rank: 6 / 53 = 0.113 (2015) - Q1 - T1
Categ. JCR: PHYSICS, FLUIDS & PLASMAS rank: 10 / 30 = 0.333 (2015) - Q2 - T2
Factor impacto SCIMAGO: 1.183 - Condensed Matter Physics (Q1) - Statistical and Nonlinear Physics (Q1) - Statistics and Probability (Q2)
Financiación: info:eu-repo/grantAgreement/ES/MINECO/FIS2011-25167
Financiación: info:eu-repo/grantAgreement/ES/MINECO/FPDI-2013-18422
Tipo y forma: Article (Published version)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material.
Exportado de SIDERAL (2021-01-21-10:43:11)
Visitas y descargas
Idioma: Inglés
DOI: 10.1103/PhysRevE.92.032912
Año: 2015
Publicado en: Physical Review E 92, 3 (2015), 032912 [11pp.]
ISSN: 2470-0045
Factor impacto JCR: 2.252 (2015)
Categ. JCR: PHYSICS, MATHEMATICAL rank: 6 / 53 = 0.113 (2015) - Q1 - T1
Categ. JCR: PHYSICS, FLUIDS & PLASMAS rank: 10 / 30 = 0.333 (2015) - Q2 - T2
Factor impacto SCIMAGO: 1.183 - Condensed Matter Physics (Q1) - Statistical and Nonlinear Physics (Q1) - Statistics and Probability (Q2)
Financiación: info:eu-repo/grantAgreement/ES/MINECO/FIS2011-25167
Financiación: info:eu-repo/grantAgreement/ES/MINECO/FPDI-2013-18422
Tipo y forma: Article (Published version)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material. Exportado de SIDERAL (2021-01-21-10:43:11)
Permalink:
Visitas y descargas
Este artículo se encuentra en las siguientes colecciones:
Articles
Record created 2016-01-20, last modified 2021-01-21