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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