The method of layer potentials for electromagnetic waves in chiral media∗

Let Ω be a bounded domain in R, with surface measure dσ and outward unit normal n. Throughout the paper we shall assume that Ω is Lipschitz (i.e., ∂Ω can be locally described by means of graphs of Lipschitz continuous functions in appropriate systems of coordinates) and that ∂Ω is connected. Also, we set Ω+ := Ω and Ω− := R \ Ω̄. The classical Faraday-Amperé-Maxwell equations in Ω+ or Ω− read { curlE = iωB, curlH = −iωD, (1.1)