Dresden 2011 – wissenschaftliches Programm

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O: Fachverband Oberflächenphysik

O 60: Poster Session IV (Solid/liquid interfaces; Semiconductors; Oxides and insulators; Graphene; Plasmonics and nanooptics; Electronic Structure; Surface chemical reactions; Heterogeneous catalysis)

O 60.83: Poster

Mittwoch, 16. März 2011, 17:30–21:00, P4

Improving SHG Calculations with 3D Curved Elements in the Discontinuous Galerkin Method — •Andreas Hille, Rene Kullock, Alexander Haußmann, Stefan Grafström, and Lukas M. Eng — Institut für Angewandte Photophysik, Technische Universität Dresden, 01069 Dresden, Germany

The existence of optical second-harmonic generation (SHG) at metallic surfaces has been well known for a long time in experiment as well as in theory, where several electron gas models [1] exist. Further investigations have dealt with SHG at thin metallic films and nanoparticles, for which these models have been checked against experimental data. In order to apply the model not only to films or spheres but also to more complex structures such as nanorods, efficient and powerful numerical methods are needed.

One such method is the Discontinuous Galerkin method (DG) [2], which allows for explicit time stepping and finite-element-like meshing. We demonstrate here that, due to the nonlinear sensitivity of SHG signals, an accurate boundary description by means of curved elements is necessary in order to obtain reliable and non-erroneous results. Furthermore, we apply this DG method to metallic nanorods and show their usefulness as SHG antennas.

[1] J. E. Sipe, "Analysis of second-harmonic generation at metal surfaces", Phys. Rev. B 21, 10, 1980

[2] J. S. Hesthaven and T. Warburton, "Nodal High-Order Methods on Unstructured Grids", J. Comput. Phys. 181, 186-221 (2002)