Magnetodielectric and Metalomagnetic 1D Photonic Crystals Homogenization: ε-μ Local Behavior
A theory for calculating the effective optic response of photonic crystals with metallic and magnetic inclusions is reported, for the case when the wavelength of the electromagnetic fields is much larger than the lattice constant. The theory is valid for any type of Bravais lattice and arbitrary for...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Advances in Materials Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2016/7451941 |
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| author | J. I. Rodríguez Mora J. Flores Méndez B. Zenteno Mateo F. Severiano Carrillo R. C. Ambrosio Lázaro |
| author_facet | J. I. Rodríguez Mora J. Flores Méndez B. Zenteno Mateo F. Severiano Carrillo R. C. Ambrosio Lázaro |
| author_sort | J. I. Rodríguez Mora |
| collection | DOAJ |
| description | A theory for calculating the effective optic response of photonic crystals with metallic and magnetic inclusions is reported, for the case when the wavelength of the electromagnetic fields is much larger than the lattice constant. The theory is valid for any type of Bravais lattice and arbitrary form of inclusions in the unitary cell. An equations system is obtained for macroscopic magnetic field and magnetic induction components expanding microscopic electromagnetic fields in Bloch waves. Permittivity and permeability effective tensors are obtained comparing the equations system with an anisotropic nonlocal homogenous medium. In comparison with other homogenization theories, this work uses only two tensors: nonlocal permeability and permittivity. The proposal showed here is based on the use of permeability equations, which are exact and very simple. We present the explicit form of these tensors in the case of binary 1D photonic crystals. |
| format | Article |
| id | doaj-art-bf40f27014fd4db096d5c7dafba09f0b |
| institution | Kabale University |
| issn | 1687-8434 1687-8442 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Materials Science and Engineering |
| spelling | doaj-art-bf40f27014fd4db096d5c7dafba09f0b2025-02-03T05:47:07ZengWileyAdvances in Materials Science and Engineering1687-84341687-84422016-01-01201610.1155/2016/74519417451941Magnetodielectric and Metalomagnetic 1D Photonic Crystals Homogenization: ε-μ Local BehaviorJ. I. Rodríguez Mora0J. Flores Méndez1B. Zenteno Mateo2F. Severiano Carrillo3R. C. Ambrosio Lázaro4Benemérita Universidad Autónoma de Puebla, Ciudad Universitaria, Boulevard Valsequillo Esquina, Avenida San Claudio s/n, Colonia San Manuel, Apartado Postal J-39, 72570 Puebla, PUE, MexicoBenemérita Universidad Autónoma de Puebla, Ciudad Universitaria, Boulevard Valsequillo Esquina, Avenida San Claudio s/n, Colonia San Manuel, Apartado Postal J-39, 72570 Puebla, PUE, MexicoBenemérita Universidad Autónoma de Puebla, Ciudad Universitaria, Boulevard Valsequillo Esquina, Avenida San Claudio s/n, Colonia San Manuel, Apartado Postal J-39, 72570 Puebla, PUE, MexicoBenemérita Universidad Autónoma de Puebla, Ciudad Universitaria, Boulevard Valsequillo Esquina, Avenida San Claudio s/n, Colonia San Manuel, Apartado Postal J-39, 72570 Puebla, PUE, MexicoBenemérita Universidad Autónoma de Puebla, Ciudad Universitaria, Boulevard Valsequillo Esquina, Avenida San Claudio s/n, Colonia San Manuel, Apartado Postal J-39, 72570 Puebla, PUE, MexicoA theory for calculating the effective optic response of photonic crystals with metallic and magnetic inclusions is reported, for the case when the wavelength of the electromagnetic fields is much larger than the lattice constant. The theory is valid for any type of Bravais lattice and arbitrary form of inclusions in the unitary cell. An equations system is obtained for macroscopic magnetic field and magnetic induction components expanding microscopic electromagnetic fields in Bloch waves. Permittivity and permeability effective tensors are obtained comparing the equations system with an anisotropic nonlocal homogenous medium. In comparison with other homogenization theories, this work uses only two tensors: nonlocal permeability and permittivity. The proposal showed here is based on the use of permeability equations, which are exact and very simple. We present the explicit form of these tensors in the case of binary 1D photonic crystals.http://dx.doi.org/10.1155/2016/7451941 |
| spellingShingle | J. I. Rodríguez Mora J. Flores Méndez B. Zenteno Mateo F. Severiano Carrillo R. C. Ambrosio Lázaro Magnetodielectric and Metalomagnetic 1D Photonic Crystals Homogenization: ε-μ Local Behavior Advances in Materials Science and Engineering |
| title | Magnetodielectric and Metalomagnetic 1D Photonic Crystals Homogenization: ε-μ Local Behavior |
| title_full | Magnetodielectric and Metalomagnetic 1D Photonic Crystals Homogenization: ε-μ Local Behavior |
| title_fullStr | Magnetodielectric and Metalomagnetic 1D Photonic Crystals Homogenization: ε-μ Local Behavior |
| title_full_unstemmed | Magnetodielectric and Metalomagnetic 1D Photonic Crystals Homogenization: ε-μ Local Behavior |
| title_short | Magnetodielectric and Metalomagnetic 1D Photonic Crystals Homogenization: ε-μ Local Behavior |
| title_sort | magnetodielectric and metalomagnetic 1d photonic crystals homogenization ε μ local behavior |
| url | http://dx.doi.org/10.1155/2016/7451941 |
| work_keys_str_mv | AT jirodriguezmora magnetodielectricandmetalomagnetic1dphotoniccrystalshomogenizationemlocalbehavior AT jfloresmendez magnetodielectricandmetalomagnetic1dphotoniccrystalshomogenizationemlocalbehavior AT bzentenomateo magnetodielectricandmetalomagnetic1dphotoniccrystalshomogenizationemlocalbehavior AT fseverianocarrillo magnetodielectricandmetalomagnetic1dphotoniccrystalshomogenizationemlocalbehavior AT rcambrosiolazaro magnetodielectricandmetalomagnetic1dphotoniccrystalshomogenizationemlocalbehavior |