Optimal second-harmonic generation in split-ring resonator arrays

Y. Grynko, T. Meier, S. Linden, F.B.P. Niesler, M. Wegener, J. Förstner, in: M. Betz, A.Y. Elezzabi, J.-J. Song, K.-T. Tsen (Eds.), Ultrafast Phenomena and Nanophotonics XVII, SPIE, 2013.

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Abstract
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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Proceedings Title
Ultrafast Phenomena and Nanophotonics XVII
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86230L-86230L-9
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Grynko Y, Meier T, Linden S, Niesler FBP, Wegener M, Förstner J. Optimal second-harmonic generation in split-ring resonator arrays. In: Betz M, Elezzabi AY, Song J-J, Tsen K-T, eds. Ultrafast Phenomena and Nanophotonics XVII. SPIE; 2013. doi:10.1117/12.2003279
Grynko, Y., Meier, T., Linden, S., Niesler, F. B. P., Wegener, M., & Förstner, J. (2013). Optimal second-harmonic generation in split-ring resonator arrays. In M. Betz, A. Y. Elezzabi, J.-J. Song, & K.-T. Tsen (Eds.), Ultrafast Phenomena and Nanophotonics XVII. SPIE. https://doi.org/10.1117/12.2003279
@inproceedings{Grynko_Meier_Linden_Niesler_Wegener_Förstner_2013, title={Optimal second-harmonic generation in split-ring resonator arrays}, DOI={10.1117/12.2003279}, number={86230L-86230L–9}, booktitle={Ultrafast Phenomena and Nanophotonics XVII}, publisher={SPIE}, author={Grynko, Yevgen and Meier, Torsten and Linden, Stefan and Niesler, Fabian B. P. and Wegener, Martin and Förstner, Jens}, editor={Betz, Markus and Elezzabi, Abdulhakem Y. and Song, Jin-Joo and Tsen, Kong-ThonEditors}, year={2013} }
Grynko, Yevgen, Torsten Meier, Stefan Linden, Fabian B. P. Niesler, Martin Wegener, and Jens Förstner. “Optimal Second-Harmonic Generation in Split-Ring Resonator Arrays.” In Ultrafast Phenomena and Nanophotonics XVII, edited by Markus Betz, Abdulhakem Y. Elezzabi, Jin-Joo Song, and Kong-Thon Tsen. SPIE, 2013. https://doi.org/10.1117/12.2003279.
Y. Grynko, T. Meier, S. Linden, F. B. P. Niesler, M. Wegener, and J. Förstner, “Optimal second-harmonic generation in split-ring resonator arrays,” in Ultrafast Phenomena and Nanophotonics XVII, 2013.
Grynko, Yevgen, et al. “Optimal Second-Harmonic Generation in Split-Ring Resonator Arrays.” Ultrafast Phenomena and Nanophotonics XVII, edited by Markus Betz et al., 86230L-86230L-9, SPIE, 2013, doi:10.1117/12.2003279.
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