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Langtry TN, Asatryan AA, Botten LC, et al. Effects of disorder in two-dimensional photonic crystal waveguides. Phys Rev E Stat Nonlin Soft Matter Phys. 2003;68(2):026611doi: 10.1103/PhysRevE.68.026611.
Langtry, T. N., Asatryan, A. A., Botten, L. C., de Sterke, C. M., McPhedran, R. C., & Robinson, P. A. (2003). Effects of disorder in two-dimensional photonic crystal waveguides. Physical review. E, Statistical, nonlinear, and soft matter physics, 68(2), 026611. https://doi.org/10.1103/PhysRevE.68.026611
Langtry, T N, et al. "Effects of disorder in two-dimensional photonic crystal waveguides." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 68,2 (2003): 026611. doi: https://doi.org/10.1103/PhysRevE.68.026611
Langtry TN, Asatryan AA, Botten LC, de Sterke CM, McPhedran RC, Robinson PA. Effects of disorder in two-dimensional photonic crystal waveguides. Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Aug;68(2):026611. doi: 10.1103/PhysRevE.68.026611. Epub 2003 Aug 22. PMID: 14525137.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Aug;68(2):026611. doi: 10.1103/PhysRevE.68.026611. Epub 2003 Aug 22.

Effects of disorder in two-dimensional photonic crystal waveguides.

Physical review. E, Statistical, nonlinear, and soft matter physics

T N Langtry, A A Asatryan, L C Botten, C M de Sterke, R C McPhedran, P A Robinson

Affiliations

  1. CUDOS and Department of Mathematical Sciences, University of Technology, Sydney, New South Wales 2007, Australia.

PMID: 14525137 DOI: 10.1103/PhysRevE.68.026611

Abstract

The effects of randomness on the guiding properties of waveguides embedded in disordered two-dimensional photonic crystals composed of a finite cluster of circular cylinders of infinite length are investigated for TM-polarized radiation. Different degrees of disorder in the radius, filling fraction, refractive index, and position are considered for both straight and 90 degrees bent guides. The crystals exhibit similar sensitivity to refractive index and radius disorder, with a degree of disorder from 15%-20% yielding little substantial change in the guiding properties. A smaller range of position disorder is also considered. For strong disorder in radius and refractive index, the guide effectively closes. These results were obtained by a Monte Carlo simulation method, and the performance of this method is analyzed. The method requires at least ten realizations in some cases for convergence to commence; substantially more realizations are required for moderate and strong disorder to achieve accurate results.

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