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Efficient computation of photonic crystal waveguide modes with dispersive material

Schmidt, Kersten ; Kappeler, Roman (2010)
Efficient computation of photonic crystal waveguide modes with dispersive material.
In: Opt. Express, 18 (7)
doi: 10.1364/OE.18.007307
Artikel, Bibliographie

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
Art des Eintrags: Bibliographie
Titel: Efficient computation of photonic crystal waveguide modes with dispersive material
Sprache: Englisch
Publikationsjahr: März 2010
Verlag: OSA
Titel der Zeitschrift, Zeitung oder Schriftenreihe: Opt. Express
Jahrgang/Volume einer Zeitschrift: 18
(Heft-)Nummer: 7
DOI: 10.1364/OE.18.007307
URL / URN: 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.

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
Letzte Änderung: 19 Nov 2018 21:50
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