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(Color online) (a) The triangular lattice of air hole structure under consideration and (b) its dispersion diagram for the TE surface modes with various values of the termination factor . defines the light line, where is the momentum parallel to the waveguide, the angular frequency, and the speed of light.
(Color online) (a) The dispersion relations of the coupled and uncoupled surface modes of a triangular lattice with the termination factor . The inset shows the corresponding structure and the separation distance between two surfaces. Coupled odd (even) modes are denoted by open (solid) symbols. (b) The cross-sectional profiles of the magnetic field amplitudes of even and odd modes along the when and . The dashed lines indicate the positions of the surfaces. Spatial field distributions for corresponding modes are also shown in the insets.
Dependence of waveguide transmission for the even modes on the separation distance . The dash-dotted line indicates the band edge of the uncoupled surface mode when .
(a) (Color online) The dispersion relation of the coupled modes of a triangular lattice PC with an air trench of width . Notice that the termination factor alters depending on the value of . (b) Dependence of waveguide transmission on the air trench width.
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