Nonexistence of surface waves on selected surfaces of a 2D photonic crystal

Summary form only given. Photonic crystals can be employed as the substrates of planar antenna to minimize or eliminate the radiation energy loss into the substrate. Previously, surface waves of two-dimensional (2D) photonic crystals has been studied in the case that a complete bandgap exists for only one polarization state. We study the surface waves of a 2D photonic crystal with a complete photonic bandgap for both the TE polarization and the TM polarization. In our analysis, we use the finite-difference frequency-domain method, which can compute the surface waves nearly 100 times faster than the commonly-used Fourier-transform frequency-domain method.