Macroscopic optical response and photonic bands
We develop a formalism for the calculation of the macroscopic dielectric response of composite systems made of particles of one material embedded periodically within a matrix of another material, each of which is characterized by a well-defined dielectric function. The nature of these dielectric fun...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2013-01-01
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| Series: | New Journal of Physics |
| Online Access: | https://doi.org/10.1088/1367-2630/15/4/043037 |
| _version_ | 1827874387793018880 |
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| author | J S Pérez-Huerta Guillermo P Ortiz Bernardo S Mendoza W Luis Mochán |
| author_facet | J S Pérez-Huerta Guillermo P Ortiz Bernardo S Mendoza W Luis Mochán |
| author_sort | J S Pérez-Huerta |
| collection | DOAJ |
| description | We develop a formalism for the calculation of the macroscopic dielectric response of composite systems made of particles of one material embedded periodically within a matrix of another material, each of which is characterized by a well-defined dielectric function. The nature of these dielectric functions is arbitrary, and could correspond to dielectric or conducting, transparent or opaque, absorptive and dispersive materials. The geometry of the particles and the Bravais lattice of the composite are also arbitrary. Our formalism goes beyond the long-wavelength approximation as it fully incorporates retardation effects . We test our formalism through the study of the propagation of electromagnetic waves in two-dimensional photonic crystals made of periodic arrays of cylindrical holes in a dispersionless dielectric host. Our macroscopic theory yields a spatially dispersive macroscopic response which allows the calculation of the full photonic band structure of the system, as well as the characterization of its normal modes, upon substitution into the macroscopic field equations. We can also account approximately for the spatial dispersion through a local magnetic permeability and analyze the resulting dispersion relation, obtaining a region of left handedness. |
| first_indexed | 2024-03-12T16:51:32Z |
| format | Article |
| id | doaj.art-4ac49a1980e04f2298171292de7986f7 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:51:32Z |
| publishDate | 2013-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-4ac49a1980e04f2298171292de7986f72023-08-08T11:08:41ZengIOP PublishingNew Journal of Physics1367-26302013-01-0115404303710.1088/1367-2630/15/4/043037Macroscopic optical response and photonic bandsJ S Pérez-Huerta0Guillermo P Ortiz1Bernardo S Mendoza2W Luis Mochán3Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México , Apartado Postal 48-3, 62251 Cuernavaca, Morelos, MexicoDepartamento de Física, Facultad de Ciencias Exactas, Naturales y Agrimensura, Universidad Nacional del Nordeste , Avenida Libertad 5400 Campus-UNNE, W3404AAS Corrientes, ArgentinaDivision of Photonics, Centro de Investigaciones en Optica, León, Guanajuato, MexicoInstituto de Ciencias Físicas, Universidad Nacional Autónoma de México , Apartado Postal 48-3, 62251 Cuernavaca, Morelos, MexicoWe develop a formalism for the calculation of the macroscopic dielectric response of composite systems made of particles of one material embedded periodically within a matrix of another material, each of which is characterized by a well-defined dielectric function. The nature of these dielectric functions is arbitrary, and could correspond to dielectric or conducting, transparent or opaque, absorptive and dispersive materials. The geometry of the particles and the Bravais lattice of the composite are also arbitrary. Our formalism goes beyond the long-wavelength approximation as it fully incorporates retardation effects . We test our formalism through the study of the propagation of electromagnetic waves in two-dimensional photonic crystals made of periodic arrays of cylindrical holes in a dispersionless dielectric host. Our macroscopic theory yields a spatially dispersive macroscopic response which allows the calculation of the full photonic band structure of the system, as well as the characterization of its normal modes, upon substitution into the macroscopic field equations. We can also account approximately for the spatial dispersion through a local magnetic permeability and analyze the resulting dispersion relation, obtaining a region of left handedness.https://doi.org/10.1088/1367-2630/15/4/043037 |
| spellingShingle | J S Pérez-Huerta Guillermo P Ortiz Bernardo S Mendoza W Luis Mochán Macroscopic optical response and photonic bands New Journal of Physics |
| title | Macroscopic optical response and photonic bands |
| title_full | Macroscopic optical response and photonic bands |
| title_fullStr | Macroscopic optical response and photonic bands |
| title_full_unstemmed | Macroscopic optical response and photonic bands |
| title_short | Macroscopic optical response and photonic bands |
| title_sort | macroscopic optical response and photonic bands |
| url | https://doi.org/10.1088/1367-2630/15/4/043037 |
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