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Q: Fachverband Quantenoptik und Photonik

Q 65: Poster Photonik

Q 65.1: Poster

Donnerstag, 22. März 2007, 16:30–18:30, Poster C

Comparison of time integration schemes in FDTD simulations in two dimensions — •Christian Matyssek¹, Oleksiy Kiriyenko¹, Markus Däne¹, Wolfram Hergert¹, Helmut Podhaisky², Rüdiger Weiner², and Martin Arnold² — ¹MLU Halle-Wittenberg, Institut für Physik, Von-Seckendorff-Platz 1, 06120 Halle — ²MLU Halle-Wittenberg, Institut für Mathematik, Theodor-Lieser-Straße 5, 06120 Halle

The Yee formulation of the finite difference time domain (FDTD) method uses a fully explicit leapfrog time-stepping process which is second-order accurate. A limitation of the method is, that its stability is conditional, depending on time steps and spatial discretisation. Thus, during the last years unconditonally stable algorithms to solve the time-dependent Maxwell equations, e.g. based on exponential integrators, have been studied.[1]

We construct FDTD algorithms based on a spatial Yee-grid combined with different higher-order accurate time integration schemes using Krylov subspace techniques. The performance of these integrators is compared. Areas of applications like nonlinear effects in Maxwell's equations will be discussed.

[1] J.S. Kole, M.T. Figge, H. De Raedt, Phys. Rev. E, 066705 (2003)