The purpose of this paper is to prove that the spectrum of an isotropic Maxwell operator with electric permittivity and magnetic permeability that are periodic along certain directions and tending to a constant super-exponentially fast in the remaining directions is purely absolutely continuous. The basic technical tools is a new "operatorial" identity relating the Maxwell operator to a vector-valued Schrödinger operator. The analysis of the spectrum of that operator is then handled as in [3,4].

Original languageEnglish
Pages (from-to)75-85
Number of pages11
JournalCommunications in Mathematical Physics
Volume258
Issue number1
DOIs
StatePublished - 1 Aug 2005

    Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

ID: 50940821