Frankfurt 2006 – scientific programme
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Q: Quantenoptik und Photonik
Q 25: Photonische Kristalle II
Q 25.5: Talk
Tuesday, March 14, 2006, 14:45–15:00, HI
Nonlinear-optical response of metamaterials: Theory — •Walter Hoyer1, Tineke Stroucken1, Torsten Meier1, Stephan W. Koch1, Jens Förstner2, Jerome V. Moloney2, Matthias W. Klein3, Christian Enkrich3, Martin Wegener3, and Stefan Linden4 — 1Fachbereich Physik und Wissenschaftliches Zentrum für Materialwissenschaften, Universität Marburg, 35032 Marburg — 2Arizona Center for Mathematical Sciences, University of Arizona, Tucson, AZ 85721, USA — 3Institut für Angewandte Physik, Universität Karlsruhe (TH), 76131 Karlsruhe — 4Institut für Nanotechnologie, Forschungszentrum Karlsruhe, 76021 Karlsruhe
Metamaterials composed of sub-wavelength structures are known to result in fascinating physical effects in the microwave regime[1]. Lately, similar materials have been fabricated also in the optical regime and many of the linear properties are well understood[2]. Here, we present a theoretical approach suitable for the study of nonlinear effects as e.g. second-harmonic generation. The theory is based on a microscopic Vlasov-Maxwell approach which in its classical limit results in an equation for the current density coupled to Maxwell’s equations. Numerical solutions for the case of split-ring resonators are compared to our experiments.
[1] R. A. Shelby, D. R. Smith, S. Schultz, Science 292, 77 (2001)
[2] S. Linden et al., Science 306, 1351 (2004)