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Advances in Materials Science and Engineering - Volume 2016 2016, Article ID 7451941, 5 pages -

Research Article

Benemérita Universidad Autónoma de Puebla, Ciudad Universitaria, Boulevard Valsequillo Esquina, Avenida San Claudio s-n, Colonia San Manuel, Apartado Postal J-39, 72570 Puebla, PUE, Mexico

División de Estudios de Posgrado e Investigación, Maestría en Ciencias en Ingeniería Mecánica, Instituto Tecnológico de Puebla, Avenida Tecnológico 420, Maravillas, 72220 Puebla, PUE, Mexico

Received 23 February 2016; Accepted 12 April 2016

Academic Editor: Francesco dell’Isola

Copyright © 2016 J. I. Rodríguez Mora et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.

Autor: J. I. Rodríguez Mora, J. Flores Méndez, B. Zenteno Mateo, F. Severiano Carrillo, and R. C. Ambrosio Lázaro



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