Dispersion relation and band gaps of 3D photonic crystals made of spheres

Autores
Güller, F.; Inchaussandague, M.E.; Depine, R.A.
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper, we introduce a dispersion equation for 3D photonic crystals made of parallel layers of non-overlapping spheres, valid when both wavelength and separation between layers are much larger than the distance between neighbouring spheres. This equation is based on the Korringa-Kohn-Rostoker (KKR) wave calculation method developed by Stefanou et al. and can be used to predict the spectral positions of bandgaps in structures made of dispersive spheres. Perfect agreement between the spectral positions of bandgaps predicted with our simplified equation and those obtained with the numerical code MULTEM2 was observed. We find that this simplified relation allows us to identify two types of bandgaps: those related to the constitutive parameters of the spheres and those related to the three dimensional periodicity (distance between layers). Bandgaps of the first type are independent of the frequency and the distance between layers, while those of the second type depend only on these two quantities. We then analyze the influence of the constitutive parameters of the spheres on the spectral position of bandgaps for spheres immersed in dielectric or magnetic homogeneous media. The number and positions of the bandgaps are affected by the permitivity (permeability) of the host medium if the spheres have dispersive permitivity (permeability).
Fil:Inchaussandague, M.E. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fil:Depine, R.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fuente
Prog. Electromagn. Res. M 2011;19:1-12
Materia
3D photonic crystals
Band gaps
Constitutive parameters
Dispersion equations
Dispersion relations
Homogeneous media
Host mediums
Korringa-kohn-rostoker
Numerical code
Spectral position
Wave calculations
Dispersion (waves)
Energy gap
Permittivity
Photonic crystals
Three dimensional
Spheres
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/2.5/ar
Repositorio
Biblioteca Digital (UBA-FCEN)
Institución
Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
OAI Identificador
paperaa:paper_19378726_v19_n_p1_Guller
Acceder
id BDUBAFCEN_52870646c95ca6ecef33479cf2349489
oai_identifier_str paperaa:paper_19378726_v19_n_p1_Guller
network_acronym_str BDUBAFCEN
repository_id_str 1896
network_name_str Biblioteca Digital (UBA-FCEN)
spelling Dispersion relation and band gaps of 3D photonic crystals made of spheresGüller, F.Inchaussandague, M.E.Depine, R.A.3D photonic crystalsBand gapsConstitutive parametersDispersion equationsDispersion relationsHomogeneous mediaHost mediumsKorringa-kohn-rostokerNumerical codeSpectral positionWave calculationsDispersion (waves)Energy gapPermittivityPhotonic crystalsThree dimensionalSpheresIn this paper, we introduce a dispersion equation for 3D photonic crystals made of parallel layers of non-overlapping spheres, valid when both wavelength and separation between layers are much larger than the distance between neighbouring spheres. This equation is based on the Korringa-Kohn-Rostoker (KKR) wave calculation method developed by Stefanou et al. and can be used to predict the spectral positions of bandgaps in structures made of dispersive spheres. Perfect agreement between the spectral positions of bandgaps predicted with our simplified equation and those obtained with the numerical code MULTEM2 was observed. We find that this simplified relation allows us to identify two types of bandgaps: those related to the constitutive parameters of the spheres and those related to the three dimensional periodicity (distance between layers). Bandgaps of the first type are independent of the frequency and the distance between layers, while those of the second type depend only on these two quantities. We then analyze the influence of the constitutive parameters of the spheres on the spectral position of bandgaps for spheres immersed in dielectric or magnetic homogeneous media. The number and positions of the bandgaps are affected by the permitivity (permeability) of the host medium if the spheres have dispersive permitivity (permeability).Fil:Inchaussandague, M.E. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.Fil:Depine, R.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.2011info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://hdl.handle.net/20.500.12110/paper_19378726_v19_n_p1_GullerProg. Electromagn. Res. M 2011;19:1-12reponame:Biblioteca Digital (UBA-FCEN)instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesinstacron:UBA-FCENenginfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/2.5/ar2026-01-08T10:36:45Zpaperaa:paper_19378726_v19_n_p1_GullerInstitucionalhttps://digital.bl.fcen.uba.ar/Universidad públicaNo correspondehttps://digital.bl.fcen.uba.ar/cgi-bin/oaiserver.cgiana@bl.fcen.uba.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:18962026-01-08 10:36:46.887Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesfalse
dc.title.none.fl_str_mv Dispersion relation and band gaps of 3D photonic crystals made of spheres
title Dispersion relation and band gaps of 3D photonic crystals made of spheres
spellingShingle Dispersion relation and band gaps of 3D photonic crystals made of spheres
Güller, F.
3D photonic crystals
Band gaps
Constitutive parameters
Dispersion equations
Dispersion relations
Homogeneous media
Host mediums
Korringa-kohn-rostoker
Numerical code
Spectral position
Wave calculations
Dispersion (waves)
Energy gap
Permittivity
Photonic crystals
Three dimensional
Spheres
title_short Dispersion relation and band gaps of 3D photonic crystals made of spheres
title_full Dispersion relation and band gaps of 3D photonic crystals made of spheres
title_fullStr Dispersion relation and band gaps of 3D photonic crystals made of spheres
title_full_unstemmed Dispersion relation and band gaps of 3D photonic crystals made of spheres
title_sort Dispersion relation and band gaps of 3D photonic crystals made of spheres
dc.creator.none.fl_str_mv Güller, F.
Inchaussandague, M.E.
Depine, R.A.
author Güller, F.
author_facet Güller, F.
Inchaussandague, M.E.
Depine, R.A.
author_role author
author2 Inchaussandague, M.E.
Depine, R.A.
author2_role author
author
dc.subject.none.fl_str_mv 3D photonic crystals
Band gaps
Constitutive parameters
Dispersion equations
Dispersion relations
Homogeneous media
Host mediums
Korringa-kohn-rostoker
Numerical code
Spectral position
Wave calculations
Dispersion (waves)
Energy gap
Permittivity
Photonic crystals
Three dimensional
Spheres
topic 3D photonic crystals
Band gaps
Constitutive parameters
Dispersion equations
Dispersion relations
Homogeneous media
Host mediums
Korringa-kohn-rostoker
Numerical code
Spectral position
Wave calculations
Dispersion (waves)
Energy gap
Permittivity
Photonic crystals
Three dimensional
Spheres
dc.description.none.fl_txt_mv In this paper, we introduce a dispersion equation for 3D photonic crystals made of parallel layers of non-overlapping spheres, valid when both wavelength and separation between layers are much larger than the distance between neighbouring spheres. This equation is based on the Korringa-Kohn-Rostoker (KKR) wave calculation method developed by Stefanou et al. and can be used to predict the spectral positions of bandgaps in structures made of dispersive spheres. Perfect agreement between the spectral positions of bandgaps predicted with our simplified equation and those obtained with the numerical code MULTEM2 was observed. We find that this simplified relation allows us to identify two types of bandgaps: those related to the constitutive parameters of the spheres and those related to the three dimensional periodicity (distance between layers). Bandgaps of the first type are independent of the frequency and the distance between layers, while those of the second type depend only on these two quantities. We then analyze the influence of the constitutive parameters of the spheres on the spectral position of bandgaps for spheres immersed in dielectric or magnetic homogeneous media. The number and positions of the bandgaps are affected by the permitivity (permeability) of the host medium if the spheres have dispersive permitivity (permeability).
Fil:Inchaussandague, M.E. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fil:Depine, R.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
description In this paper, we introduce a dispersion equation for 3D photonic crystals made of parallel layers of non-overlapping spheres, valid when both wavelength and separation between layers are much larger than the distance between neighbouring spheres. This equation is based on the Korringa-Kohn-Rostoker (KKR) wave calculation method developed by Stefanou et al. and can be used to predict the spectral positions of bandgaps in structures made of dispersive spheres. Perfect agreement between the spectral positions of bandgaps predicted with our simplified equation and those obtained with the numerical code MULTEM2 was observed. We find that this simplified relation allows us to identify two types of bandgaps: those related to the constitutive parameters of the spheres and those related to the three dimensional periodicity (distance between layers). Bandgaps of the first type are independent of the frequency and the distance between layers, while those of the second type depend only on these two quantities. We then analyze the influence of the constitutive parameters of the spheres on the spectral position of bandgaps for spheres immersed in dielectric or magnetic homogeneous media. The number and positions of the bandgaps are affected by the permitivity (permeability) of the host medium if the spheres have dispersive permitivity (permeability).
publishDate 2011
dc.date.none.fl_str_mv 2011
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.12110/paper_19378726_v19_n_p1_Guller
url http://hdl.handle.net/20.500.12110/paper_19378726_v19_n_p1_Guller
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/2.5/ar
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/2.5/ar
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv Prog. Electromagn. Res. M 2011;19:1-12
reponame:Biblioteca Digital (UBA-FCEN)
instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron:UBA-FCEN
reponame_str Biblioteca Digital (UBA-FCEN)
collection Biblioteca Digital (UBA-FCEN)
instname_str Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron_str UBA-FCEN
institution UBA-FCEN
repository.name.fl_str_mv Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
repository.mail.fl_str_mv ana@bl.fcen.uba.ar
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score 12.747614

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