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arXiv · 1301.0110

Effective complex permittivity tensor of a periodic array of cylinders

Yuri A. Godin
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Abstract

We determine the effective complex permittivity of a two-dimensional composite, consisting of an arbitrary doubly periodic array of identical circular cylinders in a homogeneous matrix, and whose dielectric properties are complex-valued. Efficient formulas are provided to determine the effective complex permittivity tensor which are in excellent agreement with numerical calculations. We also show that in contrast to the real-valued case, the real and imaginary parts of the effective complex-valued tensor can exhibit non-monotonic behavior as functions of volume fraction of cylinders, and can be either greater or less than that of the constituents.

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Yuri A. Godin. 2013-01-01. Effective complex permittivity tensor of a periodic array of cylinders. https://doi.org/10.1063/1.4803490

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