Homogenization of the Maxwell equations in an anisotropic material

Gerhard Kristensson · Radio Science · 2003

This paper contains an overview of the homogenization of anisotropic materials at fixed frequency using the concept of two‐scaled convergence. The homogenized electric and magnetic parameters, the relative permittivity, and the relative permeability are found by suitable averages of the solution of a local problem in the unit cell. A comparison between the exact homogenization method presented in this paper and the traditional mixture formulae, which are based on physical arguments, is made.

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