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14 March 2013 Optimal second-harmonic generation in split-ring resonator arrays
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Previous experimental measurements and numerical simulations give evidence of strong electric and magnetic field interaction between split-ring resonators in dense arrays. One can expect that such interactions have an influence on the second harmonic generation. We apply the Discontinuous Galerkin Time Domain method and the hydrodynamic Maxwell-Vlasov model to simulate the linear and nonlinear optical response from SRR arrays. The simulations show that dense placement of the constituent building blocks appears not always optimal and collective effects can lead to a significant suppression of the near fields at the fundamental frequency and, consequently, to the decrease of the SHG intensity. We demonstrate also the great role of the symmetry degree of the array layout which results in the variation of the SHG efficiency in range of two orders of magnitude.
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Yevgen Grynko, Torsten Meier, Stefan Linden, Fabian B. P. Niesler, Martin Wegener, and Jens Förstner "Optimal second-harmonic generation in split-ring resonator arrays", Proc. SPIE 8623, Ultrafast Phenomena and Nanophotonics XVII, 86230L (14 March 2013);

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