Theoretical investigation of one-dimensional cavities in two-dimensional photonic crystals

We study numerically the features of the resonant peak of one-dimensional (1-D) dielectric cavities in a two-dimensional (2-D) hexagonal lattice. We use both the transfer matrix method and the finite difference time-domain (FDTD) method to calculate the transmission coefficient. We compare the two methods and discuss their results for the transmission and quality factor Q of the resonant peak. We also examine the dependence of Q on absorption and losses, the thickness of the sample, and the lateral width of the cavity. The Q-factor dependence on the width of the source in the FDTD calculations is also given.