Figure 3
From: Bloch surface eigenstates within the radiation continuum
Comparison between FDTD simulations and temporal coupled-mode theory predictions, for a simplified structure where the photonic crystal is replaced with a perfect-metal boundary. Left: data for one column of cylindrical rods with ε=4.9. (a) Band structure for TM modes with l=1.6a. Shaded region is the light cone, states that do not couple to radiation are shown in blue, and states that do are shown in red. The embedded eigenstates are indicated with blue crosses, labeled with the integer n in equation (5). (b) Quality factor Q for leaky modes along the red line in a. Circles are from FDTD simulations, and the red solid line is the prediction from equation (6). The green dashed line shows Q for the same structure without a mirror. (c) Relation between the surface-normal wavevector kx of the embedded eigenstates and the rod-to-mirror distance l. Circles are from FDTD simulations, and lines are predictions from equation (5). Right: (d)–(f) show the same plots as in the left column, but with asymmetric rods as shown in the inset. FDTD, finite-difference time-domain.
