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

T. P. White, L. C. Botten, C. Martijn de Sterke, R. C. McPhedran, A. A. Asatryan, and T. N. Langtry
Phys. Rev. E 70, 056607 – Published 15 November 2004

Abstract

The Bloch mode scattering matrix method is applied to several photonic crystal waveguide structures and devices, including waveguide dislocations, a Fabry-Pérot 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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  • Received 8 April 2004

DOI:https://doi.org/10.1103/PhysRevE.70.056607

©2004 American Physical Society

Authors & Affiliations

T. P. White1,*, L. C. Botten2, C. Martijn de Sterke1, R. C. McPhedran1, A. A. Asatryan2, and T. N. Langtry2

  • 1Centre for Ultrahigh-Bandwidth Devices for Optical Systems (CUDOS) and School of Physics, University of Sydney, Sydney, New South Wales 2006, Australia
  • 2Centre for Ultrahigh-Bandwidth Devices for Optical Systems (CUDOS) and School of Mathematical Sciences, University of Technology, Sydney, New South Wales 2007, Australia

  • *Electronic address: twhite@physics.usyd.edu.au

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Vol. 70, Iss. 5 — November 2004

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