Parametric resonance of a defect mode in a 2D photonic crystal

The possibility of enhancement of defect modes in photonic band gap structures through the parametric resonance is predicted when periodic modulation of the dielectric constant of the impurity is assumed. The effect is illustrated on an example of a defect mode in a two-dimensional triangular photonic crystal fabricated of GaAs rods embedded in vacuum with InSb defect. The amplitude of the electric field associated with the defect mode obtained from the numerical simulation based on finite-difference time-domain method reveals exponentially growing behavior which is in qualitative agreement with the theoretical prediction.