Berlin 2008 – wissenschaftliches Programm

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HL: Fachverband Halbleiterphysik

HL 36: Poster III

HL 36.23: Poster

Mittwoch, 27. Februar 2008, 16:30–19:00, Poster D

Design of photonic structures: Combination of FDTD methods with genetic algorithms — •Christian Matyssek¹, Stefan Meyer², Wolfram Hergert¹, Rüdiger Weiner², and Martin Arnold² — ¹Institute of Physics, MLU Halle-Wittenberg, Von-Seckendorff-Platz 1, 06120 Halle — ²Institute of Mathematics, MLU Halle-Wittenberg, Theodor-Lieser-Straße 5, 06120 Halle

The optimal design of properties of photonic crystals and coherent control approaches to light guidance in nanostructures are two application areas where methods to calculate electromagnetic fields in complicated structures have to be combined with optimization methods. To that purpose we construct a compact FDTD algorithm based on a spatial Yee-grid combined with higher-order accurate time integration schemes. In time integration the solver performance is optimized combining an integrator based on well approved Krylov subspace methods (VODPK, ROWMAP) with preconditioning techniques that take into account the specific structure of the model equations. As an effective global optimization method a genetic algorithm is used. As a first example for the application of the method the optimization of band gaps is demonstrated. The application to the optimization of waveguide structures and metallic nanoparticle arrays is discussed.