Trace formula for dielectric cavities III: TE modes

E. Bogomolny 1, R. Dubertrand 2

Physical Review E 86 (2012) 026202

The construction of the semiclassical trace formula for the resonances with the transverse electric (TE) polarization for two-dimensional dielectric cavities is discussed. Special attention is given to the derivation of the two first terms of Weyl's series for the average number of such resonances. The obtained formulas agree well with numerical calculations for dielectric cavities of different shapes.

  • 1. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
    CNRS : UMR8626 – Université Paris XI - Paris Sud
  • 2. Institut fur Theoretische Physik,
    University of Heidelberg