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Characterization and modeling of Fano resonances in chalcogenide photonic crystal membranes

Christian Grillet, Darren Freeman, Barry Luther-Davies, Steve Madden, Ross McPhedran, David J. Moss, Michael J. Steel, and Benjamin J. Eggleton

Open Access Open Access

Abstract

We demonstrate resonant guiding in a chalcogenide glass photonic crystal membrane. We observe strong resonances in the optical transmission spectra at normal incidence, associated with Fano coupling between free space and guided modes. We obtain good agreement with modeling results based on three-dimensional finite-difference time-domain simulations, and identify the guided modes near the centre of the first Brillouin zone responsible for the main spectral features.

©2006 Optical Society of America

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Figures (7)
Fig. 1.
Fig. 1. Electron micrographs of a chalcogenide glass photonic crystal membrane imaged at 0° and 45°. The Au coating creates the visible surface texture.

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Fig. 2.
Fig. 2. Experimental setup used to measure the optical transmission spectrum.

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Fig. 3.
Fig. 3. Experimental optical transmission spectrum on a logarithmic scale. Radius r = 250 nm.

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Fig. 4.
Fig. 4. Experimental and theoretical transmission spectra compared on a linear scale. Radius r = 250nm.

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Fig. 5.
Fig. 5. Photonic band diagram obtained by 3D plane wave calculations along with electric field intensity distributions of the modes responsible for the main Fano resonances. High intensity distribution regions are in red.

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Fig. 6.
Fig. 6. Influence of holes radii on the spectral position of E1b and O1b and their related Qfactor.

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Fig. 7.
Fig. 7. Experimental and theoretical transmission spectra compared on a linear scale. Radius r = 300nm.

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Equations (2)

Equations on this page are rendered with MathJax. Learn more.

∣ k 0 ∣ sin θ = ∣ β / / + κ G ∣
ε ( ω ) = ε ∞ + Δε a ( iω ) 2 − b ( iω ) + c
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