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

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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...

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Autores principales: Güller, F., Inchaussandague, M.E., Depine, R.A.
Formato: Artículo publishedVersion
Publicado: 2011
Materias:
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
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_19378726_v19_n_p1_Guller
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_19378726_v19_n_p1_Guller_oai
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Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires
id I28-R145-paper_19378726_v19_n_p1_Guller_oai
record_format dspace
spelling I28-R145-paper_19378726_v19_n_p1_Guller_oai2024-08-16 Güller, F. Inchaussandague, M.E. Depine, R.A. 2011 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. application/pdf http://hdl.handle.net/20.500.12110/paper_19378726_v19_n_p1_Guller info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Prog. Electromagn. Res. M 2011;19:1-12 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 Dispersion relation and band gaps of 3D photonic crystals made of spheres info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_19378726_v19_n_p1_Guller_oai
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-145
collection Repositorio Digital de la Universidad de Buenos Aires (UBA)
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
spellingShingle 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
Güller, F.
Inchaussandague, M.E.
Depine, R.A.
Dispersion relation and band gaps of 3D photonic crystals made of spheres
topic_facet 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
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).
format Artículo
Artículo
publishedVersion
author Güller, F.
Inchaussandague, M.E.
Depine, R.A.
author_facet Güller, F.
Inchaussandague, M.E.
Depine, R.A.
author_sort Güller, F.
title Dispersion relation and band gaps of 3D photonic crystals made of 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
publishDate 2011
url http://hdl.handle.net/20.500.12110/paper_19378726_v19_n_p1_Guller
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_19378726_v19_n_p1_Guller_oai
work_keys_str_mv AT gullerf dispersionrelationandbandgapsof3dphotoniccrystalsmadeofspheres
AT inchaussandagueme dispersionrelationandbandgapsof3dphotoniccrystalsmadeofspheres
AT depinera dispersionrelationandbandgapsof3dphotoniccrystalsmadeofspheres
_version_ 1809357243945058304

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