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Q: Quantenoptik und Photonik
Q 35: Poster Photonische Kristalle
Q 35.8: Poster
Tuesday, March 14, 2006, 16:30–18:30, Labsaal
Nonlinear time-domain simulations with exponential integrators using Krylov-subspace methods — •Martin Pototschnig1, Jens Niegemann1,2, Lasha Tkeshelashvili3,2, and Kurt Busch1,3,2 — 1Institut für Theoretische Festkörperphysik, Universität Karlsruhe — 2DFG Forschungszentrum Center for Functional Nanostructures (CFN), Universität Karlsruhe — 3Institut für Nanotechnologie, Forschungszentrum Karlsruhe in der Helmholtz-Gemeinschaft
In recent years, nonlinear optical systems have attracted broad interest. We propose to use exponential-integrators combined with Krylov-subspace methods to solve the corresponding nonlinear time-dependent Maxwell equations as well as coupled optical quantum-mechanical systems, such as the Maxwell-Bloch equations. These techniques are known to be well suited for highly oscillatory and stiff problems and, therefore, we expect fast and accurate simulations. We will present comparisons of the performance and accuracy of our approach relative to commonly used methods, in particular to nonlinear Finite-Difference Time-Domain techniques. In addition, we demonstrate that the method is capable of describing the Non-Markovian radiation dynamics of emitters in finite Photonic Crystals.