Modeling of Isotropic Backward-Wave Materials Composed of Resonant Spheres

Abstract

A possibility to realize isotropic artificial backward-wave materials is theoretically analyzed. An improved mixing rule for the effective permittivity of a composite material consisting of two sets of resonant dielectric spheres in a homogeneous background is presented. The equations are validated using the Mie theory and numerical simulations. The effect of a statistical distribution of sphere sizes on the increasing of losses in the operating frequency band is discussed and some examples are shown.

15 pages, 7 figures

References in corpus (3)

• Strong spatial dispersion in wire media in the very large wavelength limit
• Frequency range and explicit expressions for negative permittivity and permeability for an isotropic medium formed by a lattice of perfectly conducting $\Omega$ particles
• Isotropic three-dimensional left-handed meta-materials

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