Boundary Integral Calculations of Two-Dimensional Electromagnetic Scattering by Photonic Crystal Fabry-Perot Structures

We compute the transmission properties of two-dimensional (2-D) electromagnetic transverse magnetic (TM) waves that are normally incident on a Fabry--Perot structure with mirrors consisting of photonic crystals. We use a boundary integral formulation with quadratic boundary elements and utilize the Ewald representation for Green's functions. We trace the frequencies of the Fabry--Perot cavity modes traversing the photonic bandgap as the cavity length increases and calculate corresponding Q-values.