Macroscopic optical response and photonic bands
arXiv:1212.5509 · doi:10.1088/1367-2630/15/4/043037
Abstract
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 longwavelenght approximation as it fully incorporates retardation effects. We test our formalism through the study the propagation of electromagnetic waves in 2D 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 account approximately for the spatial dispersion through a local magnetic permeability and we analyze the resulting dispersion relation, obtaining a region of left-handedness.
arXiv comment17 pages, 8 figures
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Cited by in corpus (6)
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- Tailored Optical Polarization in Nano-Structured Metamaterials
- Keller's Theorem Revisited
- Recursive Calculation of the Optical Response of Multicomponent Metamaterials
- Mie Scattering in the Macroscopic Response and the Photonic Bands of Metamaterials