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Proceedings Paper

Fourier analysis of Bloch wave propagation in two-dimensional photonic crystals
Author(s): Benoit Lombardet; L. Andrea Dunbar; Rolando Ferrini; Romuald Houdre
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Paper Abstract

Electromagnetic Bloch waves are the standard representation of the optical field in two-dimensional photonic crystals (2D-PhCs). We present an intuitive description of Bloch waves based on their Fourier transform into series of electromagnetic plane waves. The contribution of each plane wave to the global energy and group velocity is detailed and the valid domain of this decomposition is discussed. This approach enables a continuous description of light propagation from the homogeneous medium to the strongly modulated PhC case and resolves inconsistencies that result from band folding. Finally this model provides a clear physical understanding of the negative refraction effects observed in 2D-PhCs.

Paper Details

Date Published: 15 September 2004
PDF: 11 pages
Proc. SPIE 5450, Photonic Crystal Materials and Nanostructures, (15 September 2004); doi: 10.1117/12.545073
Show Author Affiliations
Benoit Lombardet, Ecole Polytechnique Federale de Lausanne (Switzerland)
L. Andrea Dunbar, Ecole Polytechnique Federale de Lausanne (Switzerland)
Rolando Ferrini, Ecole Polytechnique Federale de Lausanne (Switzerland)
Romuald Houdre, Ecole Polytechnique Federale de Lausanne (Switzerland)

Published in SPIE Proceedings Vol. 5450:
Photonic Crystal Materials and Nanostructures
Richard M. De La Rue; Pierre Viktorovitch; Clivia M. Sotomayor Torres; Michele Midrio, Editor(s)

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