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Efficient computation of photonic crystal waveguide modes with dispersive material

Schmidt, Kersten and Kappeler, Roman (2010):
Efficient computation of photonic crystal waveguide modes with dispersive material.
In: Opt. Express, OSA, pp. 7307-7322, 18, (7), DOI: 10.1364/OE.18.007307, [Online-Edition: http://www.opticsexpress.org/abstract.cfm?URI=oe-18-7-7307],
[Article]

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.

Item Type: Article
Erschienen: 2010
Creators: Schmidt, Kersten and Kappeler, Roman
Title: Efficient computation of photonic crystal waveguide modes with dispersive material
Language: English
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.

Journal or Publication Title: Opt. Express
Volume: 18
Number: 7
Publisher: OSA
Uncontrolled Keywords: Numerical approximation and analysis; Photonic crystal waveguides
Divisions: 04 Department of Mathematics
04 Department of Mathematics > Numerical Analysis and Scientific Computing
Date Deposited: 19 Nov 2018 21:50
DOI: 10.1364/OE.18.007307
Official URL: http://www.opticsexpress.org/abstract.cfm?URI=oe-18-7-7307
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