On the confinement of photons in a curvilinear lattice photonic crystal cavity

We have designed and studied the confinement capability of a defect cavity on a curvilinear lattice photonic crystal using finite domain time difference (FDTD) method. Gallium arsenide has been used as the base material, where the nonlinear and dispersive nature of the material have been taken into account. The resonant transverse magnetic (TM) and transverse electric (TE) mode frequencies are calculated from frequency analysis and the appropriate field profiles at the resonant frequencies are calculated. It is found that the magnitude of the electric field of the TM and TE mode photons decay exponentially away from the cavity. The temporal decay of the energy in the cavity is also found to be exponential. From the decay of the energy in the cavity, the quality factor of the cavity resonator is calculated.