Weakly bound states in heterogeneous waveguides

We study the spectrum of the Helmholtz equation in a two-dimensional infinite waveguide, containing a weak heterogeneity localized at an internal point, and obeying Dirichlet boundary conditions at its border. We use the variational theorem to derive the conditionfor which the lowest eigenvalue of t...

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Autores principales: Amore, Paolo, Fernández, Francisco Marcelo, Hoffman, Christoph P.
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2016
Materias:
Física
Química
Ciencias Naturales
Ciencias Exactas
Mesoscopic
Nanoscale systems
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/97257
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-97257
record_format dspace
spelling I19-R120-10915-972572023-11-09T12:02:45Z http://sedici.unlp.edu.ar/handle/10915/97257 Weakly bound states in heterogeneous waveguides Amore, Paolo Fernández, Francisco Marcelo Hoffman, Christoph P. 2016-07 2020-06-01T20:00:12Z en Física Química Ciencias Naturales Ciencias Exactas Mesoscopic Nanoscale systems We study the spectrum of the Helmholtz equation in a two-dimensional infinite waveguide, containing a weak heterogeneity localized at an internal point, and obeying Dirichlet boundary conditions at its border. We use the variational theorem to derive the conditionfor which the lowest eigenvalue of the spectrum falls below the continuum threshold and abound state appears, localized at the heterogeneity. We devise a rigorous perturbation scheme and derive the exact expression for the energy to third order in the heterogeneity. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas Articulo Preprint http://creativecommons.org/licenses/by-nc-sa/2.5/ar/ Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Argentina (CC BY-NC-SA 2.5) application/pdf 163-180
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Química
Ciencias Naturales
Ciencias Exactas
Mesoscopic
Nanoscale systems
spellingShingle Física
Química
Ciencias Naturales
Ciencias Exactas
Mesoscopic
Nanoscale systems
Amore, Paolo
Fernández, Francisco Marcelo
Hoffman, Christoph P.
Weakly bound states in heterogeneous waveguides
topic_facet Física
Química
Ciencias Naturales
Ciencias Exactas
Mesoscopic
Nanoscale systems
description We study the spectrum of the Helmholtz equation in a two-dimensional infinite waveguide, containing a weak heterogeneity localized at an internal point, and obeying Dirichlet boundary conditions at its border. We use the variational theorem to derive the conditionfor which the lowest eigenvalue of the spectrum falls below the continuum threshold and abound state appears, localized at the heterogeneity. We devise a rigorous perturbation scheme and derive the exact expression for the energy to third order in the heterogeneity.
format Articulo
Preprint
author Amore, Paolo
Fernández, Francisco Marcelo
Hoffman, Christoph P.
author_facet Amore, Paolo
Fernández, Francisco Marcelo
Hoffman, Christoph P.
author_sort Amore, Paolo
title Weakly bound states in heterogeneous waveguides
title_short Weakly bound states in heterogeneous waveguides
title_full Weakly bound states in heterogeneous waveguides
title_fullStr Weakly bound states in heterogeneous waveguides
title_full_unstemmed Weakly bound states in heterogeneous waveguides
title_sort weakly bound states in heterogeneous waveguides
publishDate 2016
url http://sedici.unlp.edu.ar/handle/10915/97257
work_keys_str_mv AT amorepaolo weaklyboundstatesinheterogeneouswaveguides
AT fernandezfranciscomarcelo weaklyboundstatesinheterogeneouswaveguides
AT hoffmanchristophp weaklyboundstatesinheterogeneouswaveguides
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