Generalized effective-medium theory for metamaterials

We present an effective-medium model for calculating the frequency-dependent effective permittivity epsilon ( omega ) and permeability mu ( omega ) of metamaterial composites containing spherical particles with arbitrary permittivity and permeability. The model is derived from the zero-scattering co...

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Bibliographic Details
Published in:Physical review. B, Condensed matter and materials physics Condensed matter and materials physics, 2014-04, Vol.89 (15), Article 155118
Main Authors: Slovick, Brian A., Yu, Zhi Gang, Krishnamurthy, Srini
Format: Article
Language:English
Subjects:
Approximation
Condensed matter
Dielectric constant
Dispersions
Mathematical analysis
Mathematical models
Metamaterials
Permeability
Permittivity
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Summary:We present an effective-medium model for calculating the frequency-dependent effective permittivity epsilon ( omega ) and permeability mu ( omega ) of metamaterial composites containing spherical particles with arbitrary permittivity and permeability. The model is derived from the zero-scattering condition within the dipole approximation, but does not invoke any additional long-wavelength approximations. As a result, it captures the effects of spatial dispersion and predicts a finite effective refractive index and antiresonances in epsilon ( omega ) and mu ( omega ), in agreement with numerical finite-element calculations.
ISSN:1098-0121
1550-235X
DOI:10.1103/PhysRevB.89.155118