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Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Nov;70(5 Pt 2):056607. Epub 2004 Nov 15.

Bloch mode scattering matrix methods for modeling extended photonic crystal structures. II. Applications.

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  • 1Centre for Ultrahigh-Bandwidth Devices for Optical Systems (CUDOS) and School of Physics, University of Sydney, Sydney, New South Wales 2006, Australia. twhite@physics.usyd.edu.au


The Bloch mode scattering matrix method is applied to several photonic crystal waveguide structures and devices, including waveguide dislocations, a Fabry-PĂ©rot resonator, a folded directional coupler, and a Y-junction design. The method is an efficient tool for calculating the properties of extended photonic crystal (PC) devices, in particular when the device consists of a small number of distinct photonic crystal structures, or for long propagation lengths through uniform PC waveguides. The physical insight provided by the method is used to derive simple, semianalytic models that allow fast and efficient calculations of complex photonic crystal structures. We discuss the situations in which such simplifications can be made and provide examples.

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