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Efficient computation of photonic crystal waveguide modes with dispersive material

Kersten Schmidt 1, 2 Roman Kappeler 3
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
CNRS - Centre National de la Recherche Scientifique : UMR7231, UMA - Unité de Mathématiques Appliquées, Inria Saclay - Ile de France
Abstract : The optimization of PhC waveguides is a key issue for successfully designing PhC devices. Since this design task is computationally expensive, efficient methods are demanded. The available codes for computing photonic bands are also applied to PhC waveguides. They are reliable but not very efficient, which is even more pronounced for dispersive material. We present a method based on higher order finite elements with curved cells, which allows to solve for the band structure taking directly into account the dispersiveness of the materials. This is accomplished by reformulating the wave equations as a linear eigenproblem in the complex wave-vectors k. For this method, we demonstrate the high efficiency for the computation of guided PhC waveguide modes by a convergence analysis. © 2010 Optical Society of America.
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Kersten Schmidt, Roman Kappeler. Efficient computation of photonic crystal waveguide modes with dispersive material. Optics Express, Optical Society of America - OSA Publishing, 2010, 18 (7), pp.7307-7322. ⟨10.1364/oe.18.007307⟩. ⟨hal-00873062⟩



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