Abstract

Splitting of the double-degenerate defect states in the bandgap of the two-dimensional photonic crystal by means of symmetrical distortion of the lattice is studied. The effect is analogous to the static Jahn–Teller effect in solids. We propose a device that uses the effect to tune the light propagation through a 90°-bend waveguide. The resonant coupling of the photon modes at the corner can be tuned by the symmetry and magnitude of the distortion of the lattice.

© 2004 Optical Society of America

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Figures (4)

Fig. 1
Fig. 1

Splitting of the degenerate E defect states (after the supercell plane-wave calculations11) under B1 [(a), (b)] and B2 [(c), (d)] distortions. The Jahn–Teller cell is overlaid.

Fig. 2
Fig. 2

Structure studied of the coupled-cavity 90°-bend waveguide with the corner unit cell distorted by the B1 perturbation, as shown in the inset. The black and gray circles represent the rods of the ideal lattice and defects, respectively. The perfect matched layers are shown by gray stripes.

Fig. 3
Fig. 3

(a) Computed transmission coefficient of the structure with Δr/a=0 (dashed curve) and 0.13 (solid curve). (b) The relative transmission intensity inside the bandgap for the structures with Δr/a=0 (curve with o markers), 0.10 (curve with downward-pointing triangles), 0.13 (curve with stars), and 0.2 (curve with upward-pointing triangles). The inset shows the relative transmission intensity as a function of the lattice distortion.

Fig. 4
Fig. 4

Pattern of the z-component of the electric field in the frequency domain for the resonant frequency ω=0.349 at (a) Δr/a=0 and (b) 0.13.

Equations (1)

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[H0(r)+V(r)]Ψ(r)=ω2c2Ψ(r).

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