English

Semi classical measures and Maxwell's system

Analysis of PDEs 2007-05-23 v1

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 R3\R^3 in the time harmonic and with conductor boundary condition at the flat boundary x3=0x_3=0. Secondly we consider the same system but with Calderon boundary condition. Thirdly, we consider this system in the curved interface case.

Keywords

Cite

@article{arxiv.math/0501127,
  title  = {Semi classical measures and Maxwell's system},
  author = {Hassan Taha},
  journal= {arXiv preprint arXiv:math/0501127},
  year   = {2007}
}

Comments

07/01/2005