TY - JOUR
T1 - Magnetodielectric and Metalomagnetic 1D Photonic Crystals Homogenization
T2 - ϵ-μ Local Behavior
AU - Rodríguez Mora, J. I.
AU - Flores Méndez, J.
AU - Zenteno Mateo, B.
AU - Severiano Carrillo, F.
AU - Ambrosio Lázaro, R. C.
N1 - Publisher Copyright:
© 2016 J. I. Rodríguez Mora et al.
PY - 2016
Y1 - 2016
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84973109285&partnerID=8YFLogxK
U2 - 10.1155/2016/7451941
DO - 10.1155/2016/7451941
M3 - Artículo
AN - SCOPUS:84973109285
SN - 1687-8434
VL - 2016
JO - Advances in Materials Science and Engineering
JF - Advances in Materials Science and Engineering
M1 - 7451941
ER -