@article{3886,
  abstract     = {{ We report on second harmonic generation spectroscopy on a series of rectangular arrays of split-ring resonators. Within the  sample  series, the  lattice  constants are varied, but the area of the unit cell is kept fixed. The SHG 
signal intensity of the different arrays upon resonant excitation of the fundamental plasmonic mode  strongly depends 
on the respective arrangement  of  the  split-ring  resonators. This finding can be explained by variations of  the electromagnetic  interactions  between the  split-ring resonators  in the different arrays. The experimental results are in agreement with  numerical calculations based  on the discontinuous Galerkin time-domain method. 

(PDF) The role of electromagnetic interactions.... Available from: https://www.researchgate.net/publication/297612326_The_role_of_electromagnetic_interactions_in_second_harmonic_generation_from_plasmonic_metamaterials [accessed Aug 13 2018].}},
  author       = {{Alberti, Julian and Linnenbank, Heiko and Linden, Stefan and Grynko, Yevgen and Förstner, Jens}},
  issn         = {{0946-2171}},
  journal      = {{Applied Physics B}},
  keywords     = {{tet_topic_shg, tet_topic_meta}},
  number       = {{2}},
  pages        = {{45--50}},
  publisher    = {{Springer Nature}},
  title        = {{{The role of electromagnetic interactions in second harmonic generation from plasmonic metamaterials}}},
  doi          = {{10.1007/s00340-015-6311-x}},
  volume       = {{122}},
  year         = {{2016}},
}

@article{1454,
  author       = {{Grynko, Yevgen and Zentgraf, Thomas and Meier, Torsten and Förstner, Jens}},
  issn         = {{0946-2171}},
  journal      = {{Applied Physics B}},
  keywords     = {{tet_topic_meta, tet_topic_shg}},
  number       = {{9}},
  pages        = {{242}},
  publisher    = {{Springer Nature}},
  title        = {{{Simulations of high harmonic generation from plasmonic nanoparticles in the terahertz region}}},
  doi          = {{10.1007/s00340-016-6510-0}},
  volume       = {{122}},
  year         = {{2016}},
}

@inproceedings{4315,
  abstract     = {{We simulate numerically light scattering by random irregular particles of two classes of shape: Gaussian random field particles and agglomerated debri particles. Comparison of the angular dependencies of the scattering matrix elements for the case of non-absorbing material shows qualitative similarity of optical properties of both types despite different morphology of scatterers. Absorbing particles result in the difference in linear polarization. However, a strong similarty remains for the intensity curves.}},
  author       = {{Grynko, Yevgen and Zubko, Evgenij}},
  location     = {{Marseille (France)}},
  title        = {{{Light Scattering By Random Irregular Particles With Different Morphology}}},
  year         = {{2014}},
}

@article{1783,
  author       = {{Grynko, Yevgen and Shkuratov, Yuriy and Förstner, Jens}},
  journal      = {{Optical Letters}},
  keywords     = {{tet_topic_scattering}},
  number       = {{23}},
  pages        = {{5153--5156}},
  title        = {{{Light scattering by randomly irregular dielectric particles larger than the wavelength}}},
  doi          = {{10.1364/OL.38.005153}},
  volume       = {{38}},
  year         = {{2013}},
}

@inproceedings{4039,
  abstract     = {{We perform experiments on resonant second-harmonic generation from planar gold split-ring-resonator arrays under normal incidence of light as a function of the lattice constant. Optimum nonlinear conversion occurs at intermediate lattice constants.}},
  author       = {{Niesler, Fabian B. and Linden, Stefan and Förstner, Jens and Grynko, Yevgen and Meier, Torsten and Wegener, Martin}},
  booktitle    = {{Conference on Lasers and Electro-Optics 2012}},
  isbn         = {{9781557529435}},
  keywords     = {{tet_topic_shg, tet_topic_meta}},
  location     = {{San Jose, California United States}},
  number       = {{1}},
  publisher    = {{OSA}},
  title        = {{{Collective effects in second-harmonic generation from split-ring-resonator arrays}}},
  doi          = {{10.1364/qels.2012.qth3e.2}},
  volume       = {{109}},
  year         = {{2013}},
}

@inproceedings{3961,
  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.}},
  author       = {{Grynko, Yevgen and Meier, Torsten and Linden, Stefan and Niesler, Fabian B. P. and Wegener, Martin and Förstner, Jens}},
  booktitle    = {{Ultrafast Phenomena and Nanophotonics XVII}},
  editor       = {{Betz, Markus and Elezzabi, Abdulhakem Y. and Song, Jin-Joo and Tsen, Kong-Thon}},
  keywords     = {{tet_topic_shg, tet_topic_meta}},
  pages        = {{86230L--86230L--9}},
  publisher    = {{SPIE}},
  title        = {{{Optimal second-harmonic generation in split-ring resonator arrays}}},
  doi          = {{10.1117/12.2003279}},
  volume       = {{8623}},
  year         = {{2013}},
}

@inproceedings{3967,
  abstract     = {{We simulate the linear and nonlinear optical response from split-ring resonator (SRR) arrays to study collective effects between the constituent SRRs that determine spectral properties of the second harmonic generation (SHG). We apply the Discontinuous Galerkin Time Domain (DGTD) method and the hydrodynamic Maxwell-Vlasov model to calculate the SHG emission. Our model is able to qualitatively reproduce and explain the non-monotonic dependence of the spectral SHG transmission measured experimentally for SRR arrays with different lattice constants}},
  author       = {{Grynko, Yevgen and Meier, Torsten and Linden, Stefan and Niesler, Fabian B. P. and Wegener, Martin and Förstner, Jens}},
  keywords     = {{tet_topic_meta, tet_topic_shg}},
  location     = {{Bad Honnef}},
  number       = {{1}},
  pages        = {{128--130}},
  publisher    = {{AIP Conference Proceedings}},
  title        = {{{Near-field coupling and second-harmonic generation in split-ring resonator arrays}}},
  doi          = {{10.1063/1.4750118}},
  volume       = {{1475}},
  year         = {{2012}},
}

@article{3970,
  abstract     = {{Optical experiments on second-harmonic generation from split-ring-resonator square arrays show a nonmonotonic dependence of the conversion efficiency on the lattice constant. This finding is interpreted in terms of a competition between dilution effects and linewidth or near-field changes due to interactions among the individual elements in the array.}},
  author       = {{Linden, S. and Niesler, F. B. P. and Förstner, Jens and Grynko, Yevgen and Meier, Torsten and Wegener, M.}},
  issn         = {{0031-9007}},
  journal      = {{Physical Review Letters}},
  keywords     = {{tet_topic_shg, tet_topic_meta}},
  number       = {{1}},
  publisher    = {{American Physical Society (APS)}},
  title        = {{{Collective Effects in Second-Harmonic Generation from Split-Ring-Resonator Arrays}}},
  doi          = {{10.1103/physrevlett.109.015502}},
  volume       = {{109}},
  year         = {{2012}},
}

@inproceedings{4042,
  abstract     = {{A simulation environment for metallic nanostructures based on the Discontinuous Galerkin Time Domain method is presented. It is used to model optical transmission by silver bi‐chiral plasmonic crystals. The results of simulations qualitatively and quantitavely agree with experimental measurements of transmitted circular polarization.}},
  author       = {{Grynko, Yevgen and Förstner, Jens and Meier, Torsten and Radke, André and Gissibl, Timo and Braun, Paul V. and Giessen, Harald}},
  editor       = {{Chigrin, Dmitry N.}},
  keywords     = {{tet_topic_meta}},
  number       = {{1}},
  pages        = {{76--78}},
  publisher    = {{AIP}},
  title        = {{{Application of the Discontinuous Galerkin Time Domain Method to the Optics of Bi-Chiral Plasmonic Crystals}}},
  doi          = {{10.1063/1.3644217}},
  volume       = {{1398}},
  year         = {{2011}},
}

@article{4044,
  abstract     = {{A simulation environment for metallic nanostructures based on the Discontinuous Galerkin Time Domain method is presented. The model is used to compute the linear and nonlinear optical response of split ring resonators and to study physical mechanisms that contribute to second harmonic generation.}},
  author       = {{Grynko, Yevgen and Förstner, Jens and Meier, Torsten}},
  issn         = {{1825-1242}},
  journal      = {{AAPP | Atti della Accademia Peloritana dei Pericolanti}},
  keywords     = {{tet_topic_numerics, tet_topic_shg, tet_topic_meta}},
  number       = {{1}},
  title        = {{{Application of the discontinous Galerkin time domain method to the optics of metallic nanostructures}}},
  doi          = {{10.1478/C1V89S1P041}},
  volume       = {{89}},
  year         = {{2011}},
}