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HL: Fachverband Halbleiterphysik

HL 36: Poster III

HL 36.29: Poster

Wednesday, February 27, 2008, 16:30–19:00, Poster D

Numerical Treatment of Nonlinearities in Higher-Order Time-Domain Methods — •Jan Gieseler¹, Jens Niegemann^1,2,3, Lasha Tkeshlashvili^1,2,3, and Kurt Busch^1,2,3 — ¹Institut für Theoretische Festkörperphysik, Universität Karlsruhe — ²DFG Forschungszentrum Center for Functional Nanostructures (CFN), Universität Karlsruhe — ³Karlsruhe School of Optics & Photonics (KSOP), Universität Karlsruhe

The accurate numerical treatment of field propagation in complex nano-structures often requires the use of higher-order methods. In nonlinear systems, advanced discretization schemes are particularly important to deliver reliable results. In this poster, we demonstrate how to calculate numerical fluxes for the nonlinear Maxwell equations. These fluxes are then used to construct a higher-order discontinuous Galerkin scheme for solving Maxwells equations with a Kerr nonlinearity. Our approach is further compared to standard methods such as FDTD.