Finite element computation of grating scattering matrices and application to photonic crystal band calculations

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Journal Article
Journal of Computational Physics, 2006, 219 (1), pp. 120 - 143
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We consider the calculation of the band structure and Bloch mode basis of two-dimensional photonic crystals, modelled as stacks of one-dimensional diffraction gratings. The scattering properties of each grating are calculated using an efficient finite element method (FEM) and allow the complete mode structure to be derived from a transfer matrix method. A range of numerical examples showing the accuracy, flexibility and utility of the method is presented. © 2006 Elsevier Inc. All rights reserved.
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