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Complex dispersion relation calculations with the applications to absorptive photonic crystals
ETH Zurich, Switzerland.
ETH Zurich, Switzerland.
2010 (English)In: International Journal for Numerical Methods in Engineering, ISSN 0029-5981, E-ISSN 1097-0207, Vol. 84, p. 849-863Article in journal (Refereed) Published
Abstract [en]

A high-order discontinuous Galerkin method for calculations of complex dispersion relations of two-dimensional photonic crystals is presented. The medium is characterized by a complex-valued permittivityand we relate for this absorptive system the spectral parameter to the time frequency. We transform thenon-linear eigenvalue problem for a Lorentz material in air into a non-Hermitian linear eigenvalue problemand uses a Krylov space method to compute approximate eigenvalues. Moreover, we study the impact ofthe penalty term numerically and illustrate the high convergence rate of the method.

Place, publisher, year, edition, pages
Wiley-Blackwell, 2010. Vol. 84, p. 849-863
National Category
Computational Mathematics Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-81946DOI: 10.1002/nme.2926OAI: oai:DiVA.org:lnu-81946DiVA, id: diva2:1304763
Available from: 2019-04-13 Created: 2019-04-13 Last updated: 2019-05-07Bibliographically approved

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Engström, Christian

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