Photonic crystal devices modelled as grating stacks: matrix generalisations of thin film optics

Optical Society o America
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Journal Article
Optics Express, 2004, 12 (8), pp. 1592 - 1604
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A rigorous semi-analytic approach to the modelling of coupling guiding and propagation in complex microstructures embedded in two-dimensional photonic crystals is presented. The method, which is based on Bloch mode expansions an generalised Fresnel coefficients is shown to be able to treat photonic crystal devices in ways which are analogous to those used in thin film optics with uniform media. Asymptotic methods are developed and exemplified through the study of a serpentine waveguide, a potential slow wave device.
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