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

Emmanuel Drouard, Haroldo T. Hattori, Christian Grillet, Andrzej Kazmierczak, Xavier Letartre, Pedro Rojo-Romeo, and Pierre Viktorovitch

Open Access Open Access

Abstract

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.

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Fig. 2.
Fig. 2. Dispersion characteristics of the directional channel-drop filter.

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Fig. 3.
Fig. 3. Directional dropping conditions using a slow Bloch mode in a resonator close to the extreme of its dispersion characteristic.

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Fig. 4.
Fig. 4. Photonic Crystal directional channel-drop filter.

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Fig. 5.
Fig. 5. Dispersion characteristics of the Photonic Crystal directional channel-drop filter, and primitive cell used for the calculation.

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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

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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.

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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.

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Fig. 9.
Fig. 9. Magnetic field distribution of the PC directional channel-drop filter, for an injection in Port #1.

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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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