On the Bergman–Milton bounds for the homogenization of dielectric composite materials

@article{Duncan2007OnTB,
  title={On the Bergman–Milton bounds for the homogenization of dielectric composite materials},
  author={A. Duncan and T. Mackay and A. Lakhtakia},
  journal={Optics Communications},
  year={2007},
  volume={271},
  pages={470-474}
}
  • A. Duncan, T. Mackay, A. Lakhtakia
  • Published 2007
  • Physics
  • Optics Communications
  • Abstract The Bergman–Milton bounds provide limits on the effective permittivity of a composite material comprising two isotropic dielectric materials. These provide tight bounds for composites arising from many conventional materials. We reconsider the Bergman–Milton bounds in light of the recent emergence of metamaterials, in which unconventional parameter regimes for relative permittivities are encountered. Specifically, it is demonstrated that: (a) for nondissipative materials the bounds may… CONTINUE READING

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