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Efficient computation of photonic crystal waveguide modes with dispersive material

Schmidt, Kersten ; Kappeler, Roman :
Efficient computation of photonic crystal waveguide modes with dispersive material.
[Online-Edition: http://www.opticsexpress.org/abstract.cfm?URI=oe-18-7-7307]
In: Opt. Express, 18 (7) S. 7307-7322.
[Artikel] , (2010)

Offizielle URL: http://www.opticsexpress.org/abstract.cfm?URI=oe-18-7-7307

Kurzbeschreibung (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.

Typ des Eintrags: Artikel
Erschienen: 2010
Autor(en): Schmidt, Kersten ; Kappeler, Roman
Titel: Efficient computation of photonic crystal waveguide modes with dispersive material
Sprache: Englisch
Kurzbeschreibung (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.

Titel der Zeitschrift, Zeitung oder Schriftenreihe: Opt. Express
Band: 18
(Heft-)Nummer: 7
Verlag: OSA
Freie Schlagworte: Numerical approximation and analysis; Photonic crystal waveguides
Fachbereich(e)/-gebiet(e): 04 Fachbereich Mathematik
04 Fachbereich Mathematik > Numerik und wissenschaftliches Rechnen
Hinterlegungsdatum: 19 Nov 2018 21:50
DOI: 10.1364/OE.18.007307
Offizielle URL: http://www.opticsexpress.org/abstract.cfm?URI=oe-18-7-7307
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