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Semi classical measures and Maxwell's system

Hassan Taha
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Abstract

We are interested in the homogenization of energy like quantities for electromagnetic waves in the high frequency limit for Maxwell's equations with various boundary conditions. We use a scaled variant of H-measures known as semi classical measures or Wigner measures. Firstly, we consider this system in the half space of $\R^3$ in the time harmonic and with conductor boundary condition at the flat boundary $x_3=0$. Secondly we consider the same system but with Calderon boundary condition. Thirdly, we consider this system in the curved interface case.

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Hassan Taha. 2005-01-09. Semi classical measures and Maxwell's system. https://arxiv.org/abs/math/0501127

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