Effective complex permittivity tensor of a periodic array of cylinders

@article{Godin2013EffectiveCP,
  title={Effective complex permittivity tensor of a periodic array of cylinders},
  author={Yuri A. Godin},
  journal={Journal of Mathematical Physics},
  year={2013},
  volume={54},
  pages={053505-053505}
}
  • Yuri A. Godin
  • Published 1 January 2013
  • Physics, Mathematics
  • Journal of Mathematical Physics
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… 

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