Applied Physics A

, 123:88 | Cite as

Microscopic calculations of dielectric properties for hyperbolic metamaterials

  • Maxim N. Anokhin
  • Alexey A. Tishchenko
  • Mikhail N. Strikhanov
Part of the following topical collections:
  1. Advanced Metamaterials and Nanophotonics


We theoretically study macroscopic dielectric properties of hyperbolic metamaterials proceeding from microscopic description. The theory constructed gives the answer to the question “what properties should microscopic elements have in order to macroscopic system consisting of these elements would be a hyperbolic metamaterial.” Generalized Clausius–Mossotti relation as well as existing conditions for such metamaterials is obtained with help of the local field theory. The perpendicular and parallel components of the dielectric permittivity are found as functions of microscopic parameters of a single particle and a dielectric matrix.


Dielectric Permittivity Dielectric Function Spatial Dispersion Parallel Component Permittivity Tensor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



This work was supported by the Ministry of Education and Science of the Russian Federation, the project 3.1110.2014/K and by Competitiveness Growth Programme of National Research Nuclear University “MEPhI.”


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Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.National Research Nuclear University MEPhIMoscowRussia

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