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Directional channel-drop filter based on a slow Bloch mode photonic crystal waveguide section

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A two-dimensional photonic crystal channel-drop filter is proposed. This device has two high group velocity waveguides that are selectively coupled by a single, low group velocity intermediate waveguide section. It exhibits computed quality factors as high as 1300, and directional dropping efficiencies as high as 90%.

©2005 Optical Society of America

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Figures (9)

Fig. 1.
Fig. 1. Directional channel-drop filter principle.
Fig. 2.
Fig. 2. Dispersion characteristics of the directional channel-drop filter.
Fig. 3.
Fig. 3. Directional dropping conditions using a slow Bloch mode in a resonator close to the extreme of its dispersion characteristic.
Fig. 4.
Fig. 4. Photonic Crystal directional channel-drop filter.
Fig. 5.
Fig. 5. Dispersion characteristics of the Photonic Crystal directional channel-drop filter, and primitive cell used for the calculation.
Fig. 6.
Fig. 6. Spectral response of a short resonator (8 missing holes): two SBM Fabry-Perot resonances, 5.6 nm apart, are observed. The corresponding magnetic field distributions are also shown. The vertical black line stands for the symmetry axis orthogonal to the resonator
Fig. 7.
Fig. 7. Spectral characteristic of a 4.50 µm (10 missing holes) PC directional channel-drop filter, for an injection in Port #1. Refined tuning of this particular device was achieved by shifting the holes at the ends of the resonator.
Fig. 8.
Fig. 8. Spectral characteristic of the optimized (20 missing holes) PC directional channel-drop filter, for an injection in Port #1. No shift of the holes at the ends of the resonator was necessary.
Fig. 9.
Fig. 9. Magnetic field distribution of the PC directional channel-drop filter, for an injection in Port #1.

Equations (5)

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Q = ω τ = 2 π c λ τ = λ δ λ
δ λ = λ 2 2 π c τ
L m = ( α τ 2 ) 1 2
k ( ω ) = p π L e f f
F S R = π 2 α 2 L e f f 2


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