Dresden 2009 – scientific programme

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O: Fachverband Oberflächenphysik

O 31: Nano-optics of metallic and semiconducting nanostructures (theory)

O 31.7: Talk

Wednesday, March 25, 2009, 12:00–12:15, SCH A216

The Discontinuous Galerkin Time-Domain Method for Nanophotonics — Kai Stannigel¹, •Michael König^{1, 2}, Jens Niegemann^{1, 2, 3}, and Kurt Busch^{1, 2, 3} — ¹Institut für Theoretische Festkörperphysik, Universität Karlsruhe — ²Karlsruhe School of Optics & Photonics (KSOP), Universität Karlsruhe — ³DFG Centrum für Funktionelle Nanostrukturen (CFN), Universität Karlsruhe

Numerical methods have become invaluable tools for research in the field of photonics and plasmonics. The Discontinuous Galerkin Time-Domain (DGTD) method, complemented by numerous extensions, allows us to solve Maxwell’s equations on unstructured grids while maintaining an efficient, explicit time-stepping scheme. Using adaptive meshes we can accurately resolve complex geometric features without staircasing, thereby overcoming one of the key limitations of the widely used Finite-Difference Time-Domain algorithm.

As an example, we apply the DGTD method in three dimensions to the analysis of V-shaped silver nanostructures. In particular, we discuss local field enhancement effects, the onset of the quasi-static limit, and we investigate the possibility of coherent control.