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arXiv · 1402.0552

Generalized effective-medium theory for metamaterials

Brian A. Slovick·Zhi Gang Yu·Srini Krishnamurthy
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Abstract

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.

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Brian A. Slovick, Zhi Gang Yu, Srini Krishnamurthy. 2014-02-04. Generalized effective-medium theory for metamaterials. https://doi.org/10.1103/physrevb.89.155118

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