Dresden 2011 – scientific programme

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HL: Fachverband Halbleiterphysik

HL 66: Joint Session: Plasmonics and Nanophotonics

HL 66.1: Talk

Wednesday, March 16, 2011, 17:15–17:30, GER 38

Simulation of second harmonic generation from split ring resonators with the Discontinuous Galerkin Time Domain method — •Yevgen Grynko, Torsten Meier, and Jens Förstner — Universität Paderborn, Warburger Str. 100, 33098 Paderborn

We report our results of the application of the Discontinuous Galerkin Time Domain (DGTD) method [1] for the simulation of the linear and non-linear response of plasmonic nanostructures. We use DGTD as it has a number of attractive features including adaptive grid refinement and nonlinear stability. In this work, we consider an array of U-shaped split ring resonators. Metallic dispersion is described with a current density equation based on the representation of electron dynamics in terms of electron plasma. It includes linear Drude terms and nonlinear terms for the Lorentz force and convective acceleration of the electron flow. The nonlinear part of the equation causes the doubling of the transmitted frequency leading to the the SH peak in the spectrum. Switching between the terms shows that the "convective" term plays the main role in the observed phenomena. The strength of the the SH peak is comparable to the values reported previously in the experiments [2] and FDTD simulations [3].

[1] J. S. Hesthaven, T. Warburton, 2002, J. Comp. Phys., 181, 186-221. [2] M. W. Klein, et al., 2007, Opt. Express, 15, 5238. [3] Y. Zeng, et al., 2009, Phys. Rev. B 79, 235109-1 - 235109-9.