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Reciprocity theorem and perturbation theory for photonic crystal waveguides

D. Michaelis, U. Peschel, C. Wächter, and A. Bräuer
Phys. Rev. E 68, 065601(R) – Published 11 December 2003
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Abstract

Starting from Maxwell’s equations we derive a reciprocity theorem for photonic crystal waveguides. A set of strongly coupled discrete equations results, which can be applied to the simulation of perturbed photonic crystal waveguides. As an example we analytically study the influence of the dispersion of a two level system on the band structure of a photonic crystal waveguide. In particular, the formation of polariton gaps is discussed.

  • Received 23 July 2003

DOI:https://doi.org/10.1103/PhysRevE.68.065601

©2003 American Physical Society

Authors & Affiliations

D. Michaelis1, U. Peschel2, C. Wächter1, and A. Bräuer1

  • 1Fraunhofer Institut für Angewandte Optik und Feinmechanik, Schillerstraße 1, D-07745 Jena, Germany
  • 2Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, D-07743 Jena, Germany

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Vol. 68, Iss. 6 — December 2003

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