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Resonances in microstructured optical waveguides

Natalia M. Litchinitser, Steven C. Dunn, Brian Usner, Benjamin J. Eggleton, Thomas P. White, Ross C. McPhedran, and C. Martijn de Sterke

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Abstract

We propose a simple physical model that predicts the optical properties of a class of microstructured waveguides consisting of high-index inclusions that surround a low-index core. On the basis of this model, it is found that a large regime exists where transmission minima are determined by the geometry of the individual high-index inclusions. The locations of these minima are found to be largely unaffected by the relative position of the inclusions. As a result of this insight the difficult problem of analyzing the properties of complex structures can be reduced to the much simpler problem of analyzing the properties of an individual high-index inclusion in the structure.

©2003 Optical Society of America

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Figures (3)
Fig. 1.
Fig. 1. Microstructured optical waveguide geometries (n2 > n1 in all three cases).

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Fig. 2.
Fig. 2. (a) Schematic of planar structure (n1=1.4, n2=1.8, d=3.437µm), (b) calculated transmission spectra for planar and ring structure of length L=5cm, (c) analytical modal cutoff condition, and (d) absolute value of the electric field in high index layer (vertical straight lines show the borders of high index layer).

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Fig. 3.
Fig. 3. (a) Transmission spectrum for fundamental mode of MOF shown in the inset (n1=1.44, n2=1.8, d=3.8µm). Straight dashed lines show analytical predictions (from Eq. (2)) for resonant wavelengths. (b) Analytical versus numerical predictions for resonant wavelengths for different d. (c) Longitudinal component of the Poynting vector Sz, and (d) Sz along X axis for two wavelengths. Straight dashed lines show the position of the high-index inclusion.

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Equations (2)

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λ m = 2 d m n 2 2 − n 1 2 ,
λ m = 2 d n 2 2 − n 1 2 m + 1 2 ,

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