Current-driven homogenization and effective medium parameters for finite samples

@article{Markel2013CurrentdrivenHA,
  title={Current-driven homogenization and effective medium parameters for finite samples},
  author={Vadim A. Markel and Igor Tsukerman},
  journal={Physical Review B},
  year={2013},
  volume={88},
  pages={125131}
}
Reflection and refraction of electromagnetic waves by artificial periodic composites (metamaterials) can be accurately modeled by an effective medium theory only if the boundary of the medium is explicitly taken into account and the two effective parameters of the medium -- the index of refraction and the impedance -- are correctly determined. Theories that consider infinite periodic composites do not satisfy the above condition. As a result, they cannot model reflection and transmission by… 
Boundary conditions for the effective-medium description of subwavelength multilayered structures
Nanostructures with one-dimensional periodicity, such as multilayered structures, are currently in the focus of active research in the context of hyperbolic metamaterials and photonic topological
Magnetic permeability in Fresnel’s equation
Magnetic permeabilities derived for infinite, periodic media are used in the Fresnel equation to calculate the reflection from corresponding semi-infinite media. By comparison to
A non-asymptotic homogenization theory for periodic electromagnetic structures
TLDR
The proposed theory allows one to define not only bulk, but also position-dependent material parameters and to quantify the trade-off between the accuracy of homogenization and its range of applicability to various illumination conditions.
Nonasymptotic homogenization of periodic electromagnetic structures: Uncertainty principles
We show that artificial magnetism of periodic dielectric or metal/dielectric structures has limitations and is subject to at least two " uncertainty principles ". First, the stronger the magnetic
Analysis of active and passive metamaterials
Metamaterials are composite materials acting as effectively continuous media, which are capable of realizing entirely new phenomena such as negative refraction and transformation optics. This class
Beyond local effective material properties for metamaterials
To discuss the properties of metamaterials on physical grounds and to consider them in applications, effective material parameters are usually introduced and assigned to a given metamaterial. In most
Surface plasmon polaritons sustained at the interface of a nonlocal metamaterial
Studying basic physical effects sustained in metamaterials characterized by specific constitutive relation is a research topic with a long standing tradition. Besides intellectual curiosity, it
Negative index materials: at the frontier of macroscopic electromagnetism
The notions of negative refraction and negative index, introduced by V. Veselago more than 50 years ago, have appeared beyond the frontiers of macroscopic electromagnetism and purely formal during 30
Transition between metamaterial and photonic-crystal behavior in arrays of dielectric rods.
Using finite-difference time-domain simulations, we study the interactions of electromagnetic radiation with a square array of dielectric rods parallel to the electric vector. We observe the electric
...
...

References

SHOWING 1-10 OF 43 REFERENCES
Photonic Crystals: Molding the Flow of Light
Since it was first published in 1995, Photonic Crystals has remained the definitive text for both undergraduates and researchers on photonic band-gap materials and their use in controlling the
Electrodynamics of continuous media
Electrostatics of conductors Static magnetic field Superconductivity The propagation of electromagnetic waves Spatial dispersion Diffraction of X rays in crystals.
Tech. Phys
  • Tech. Phys
  • 1957
Phys. Tech. Phys
  • Phys. Tech. Phys
  • 1959
Phys. Rev. B
  • Phys. Rev. B
  • 2011
Appl. Opt
  • Appl. Opt
  • 1981
Phys. Rev. B
  • Phys. Rev. B
  • 2013
SIAM J. Appl. Math
  • SIAM J. Appl. Math
  • 2003
...
...