[{"quality_controlled":"1","citation":{"chicago":"Metzner, Dominik, Jens Potthoff, Thomas Zentgraf, and Jens Förstner. “Approximating Incoherent Monochromatic Light Sources in FDTD Simulations.” <i>Photonics</i> 13, no. 2 (2026). <a href=\"https://doi.org/10.3390/photonics13020128\">https://doi.org/10.3390/photonics13020128</a>.","short":"D. Metzner, J. Potthoff, T. Zentgraf, J. Förstner, Photonics 13 (2026).","ieee":"D. Metzner, J. Potthoff, T. Zentgraf, and J. Förstner, “Approximating Incoherent Monochromatic Light Sources in FDTD Simulations,” <i>Photonics</i>, vol. 13, no. 2, Art. no. 128, 2026, doi: <a href=\"https://doi.org/10.3390/photonics13020128\">10.3390/photonics13020128</a>.","apa":"Metzner, D., Potthoff, J., Zentgraf, T., &#38; Förstner, J. (2026). Approximating Incoherent Monochromatic Light Sources in FDTD Simulations. <i>Photonics</i>, <i>13</i>(2), Article 128. <a href=\"https://doi.org/10.3390/photonics13020128\">https://doi.org/10.3390/photonics13020128</a>","bibtex":"@article{Metzner_Potthoff_Zentgraf_Förstner_2026, title={Approximating Incoherent Monochromatic Light Sources in FDTD Simulations}, volume={13}, DOI={<a href=\"https://doi.org/10.3390/photonics13020128\">10.3390/photonics13020128</a>}, number={2128}, journal={Photonics}, publisher={MDPI AG}, author={Metzner, Dominik and Potthoff, Jens and Zentgraf, Thomas and Förstner, Jens}, year={2026} }","ama":"Metzner D, Potthoff J, Zentgraf T, Förstner J. Approximating Incoherent Monochromatic Light Sources in FDTD Simulations. <i>Photonics</i>. 2026;13(2). doi:<a href=\"https://doi.org/10.3390/photonics13020128\">10.3390/photonics13020128</a>","mla":"Metzner, Dominik, et al. “Approximating Incoherent Monochromatic Light Sources in FDTD Simulations.” <i>Photonics</i>, vol. 13, no. 2, 128, MDPI AG, 2026, doi:<a href=\"https://doi.org/10.3390/photonics13020128\">10.3390/photonics13020128</a>."},"oa":"1","status":"public","user_id":"158","volume":13,"publisher":"MDPI AG","_id":"63827","abstract":[{"text":"Light-emitting diodes (LEDs) are becoming increasingly important across various sectors of the lighting industry and are being used more frequently. In the field of symbolic projection, research is increasingly focusing on implementing light modulation using energy-efficient, incoherent LEDs rather than lasers. Since light modulation in micro- and nano-optics is typically achieved through phase modulation, Finite-Difference Time-Domain (FDTD) simulations are employed for analysis. The objective of this article is to investigate different approaches for approximating incoherent monochromatic light sources within FDTD simulations. To this end, two approaches based on dipole sources are considered, as well as a method involving plane waves with modulated wavefronts based on Cosine–Fourier functions and a method based on the superposition of Gaussian beams. These methods are evaluated in terms of their accuracy using a two-dimensional double-slit configuration and are compared against a fully incoherent analytical reference.","lang":"eng"}],"issue":"2","publication":"Photonics","keyword":["tet_topic_opticalantenna","tet_topic_numerics","tet_topic_meta"],"type":"journal_article","department":[{"_id":"15"},{"_id":"230"},{"_id":"289"},{"_id":"623"},{"_id":"61"}],"date_created":"2026-02-02T07:18:03Z","publication_status":"published","date_updated":"2026-02-02T21:38:34Z","article_type":"original","intvolume":"        13","title":"Approximating Incoherent Monochromatic Light Sources in FDTD Simulations","year":"2026","publication_identifier":{"issn":["2304-6732"]},"author":[{"full_name":"Metzner, Dominik","first_name":"Dominik","last_name":"Metzner"},{"full_name":"Potthoff, Jens","last_name":"Potthoff","first_name":"Jens"},{"id":"30525","orcid":"0000-0002-8662-1101","first_name":"Thomas","last_name":"Zentgraf","full_name":"Zentgraf, Thomas"},{"last_name":"Förstner","first_name":"Jens","orcid":"0000-0001-7059-9862","full_name":"Förstner, Jens","id":"158"}],"doi":"10.3390/photonics13020128","article_number":"128","main_file_link":[{"open_access":"1","url":"https://www.mdpi.com/2304-6732/13/2/128"}],"language":[{"iso":"eng"}]},{"citation":{"mla":"Hähnel, David, et al. “A Multi-Mode Super-Fano Mechanism for Enhanced Third Harmonic Generation in Silicon Metasurfaces.” <i>Light: Science &#38; Applications</i>, vol. 12, no. 1, Springer Nature, 2023, p. 97, doi:<a href=\"https://doi.org/10.1038/s41377-023-01134-1\">https://doi.org/10.1038/s41377-023-01134-1</a>.","ama":"Hähnel D, Golla C, Albert M, et al. A multi-mode super-fano mechanism for enhanced third harmonic generation in silicon metasurfaces. <i>Light: Science &#38; Applications</i>. 2023;12(1):97. doi:<a href=\"https://doi.org/10.1038/s41377-023-01134-1\">https://doi.org/10.1038/s41377-023-01134-1</a>","bibtex":"@article{Hähnel_Golla_Albert_Zentgraf_Myroshnychenko_Förstner_Meier_2023, title={A multi-mode super-fano mechanism for enhanced third harmonic generation in silicon metasurfaces}, volume={12}, DOI={<a href=\"https://doi.org/10.1038/s41377-023-01134-1\">https://doi.org/10.1038/s41377-023-01134-1</a>}, number={1}, journal={Light: Science &#38; Applications}, publisher={Springer Nature}, author={Hähnel, David and Golla, Christian and Albert, Maximilian and Zentgraf, Thomas and Myroshnychenko, Viktor and Förstner, Jens and Meier, Cedrik}, year={2023}, pages={97} }","apa":"Hähnel, D., Golla, C., Albert, M., Zentgraf, T., Myroshnychenko, V., Förstner, J., &#38; Meier, C. (2023). A multi-mode super-fano mechanism for enhanced third harmonic generation in silicon metasurfaces. <i>Light: Science &#38; Applications</i>, <i>12</i>(1), 97. <a href=\"https://doi.org/10.1038/s41377-023-01134-1\">https://doi.org/10.1038/s41377-023-01134-1</a>","ieee":"D. Hähnel <i>et al.</i>, “A multi-mode super-fano mechanism for enhanced third harmonic generation in silicon metasurfaces,” <i>Light: Science &#38; Applications</i>, vol. 12, no. 1, p. 97, 2023, doi: <a href=\"https://doi.org/10.1038/s41377-023-01134-1\">https://doi.org/10.1038/s41377-023-01134-1</a>.","chicago":"Hähnel, David, Christian Golla, Maximilian Albert, Thomas Zentgraf, Viktor Myroshnychenko, Jens Förstner, and Cedrik Meier. “A Multi-Mode Super-Fano Mechanism for Enhanced Third Harmonic Generation in Silicon Metasurfaces.” <i>Light: Science &#38; Applications</i> 12, no. 1 (2023): 97. <a href=\"https://doi.org/10.1038/s41377-023-01134-1\">https://doi.org/10.1038/s41377-023-01134-1</a>.","short":"D. Hähnel, C. Golla, M. Albert, T. Zentgraf, V. Myroshnychenko, J. Förstner, C. Meier, Light: Science &#38; Applications 12 (2023) 97."},"file_date_updated":"2023-04-21T10:03:30Z","quality_controlled":"1","oa":"1","status":"public","has_accepted_license":"1","_id":"44097","publisher":"Springer Nature","page":"97","volume":12,"ddc":["530"],"user_id":"158","publication":"Light: Science & Applications","issue":"1","abstract":[{"text":"We present strong enhancement of third harmonic generation in an amorphous silicon metasurface consisting of elliptical nano resonators. We show that this enhancement originates from a new type of multi-mode Fano mechanism. These ‘Super-Fano’ resonances are investigated numerically in great detail using full-wave simulations. The theoretically predicted behavior of the metasurface is experimentally verified by linear and nonlinear transmission spectroscopy. Moreover, quantitative nonlinear measurements are performed, in which an absolute conversion efficiency as high as ηmax ≈ 2.8 × 10−7 a peak power intensity of 1.2 GW cm−2 is found. Compared to an unpatterned silicon film of the same thickness amplification factors of up to ~900 are demonstrated. Our results pave the way to exploiting a strong Fano-type multi-mode coupling in metasurfaces for high THG in potential applications.","lang":"eng"}],"date_created":"2023-04-21T09:45:07Z","file":[{"date_created":"2023-04-21T10:00:27Z","creator":"fossie","file_id":"44098","content_type":"application/pdf","file_name":"2023-04 Hähnel - LSA - Multimode Fano THG.pdf","access_level":"open_access","file_size":2088874,"relation":"main_file","date_updated":"2023-04-21T10:00:27Z"},{"content_type":"application/pdf","file_id":"44099","date_updated":"2023-04-21T10:03:30Z","relation":"supplementary_material","access_level":"open_access","file_size":986743,"file_name":"2023-04 Hähnel - LSA - Multimode Fano THG (supplementary information).pdf","date_created":"2023-04-21T10:03:30Z","creator":"fossie"}],"department":[{"_id":"61"},{"_id":"230"},{"_id":"429"}],"type":"journal_article","keyword":["tet_topic_meta"],"publication_identifier":{"issn":["2047-7538"]},"author":[{"full_name":"Hähnel, David","last_name":"Hähnel","first_name":"David"},{"last_name":"Golla","first_name":"Christian","full_name":"Golla, Christian"},{"first_name":"Maximilian","last_name":"Albert","full_name":"Albert, Maximilian"},{"last_name":"Zentgraf","orcid":"0000-0002-8662-1101","first_name":"Thomas","full_name":"Zentgraf, Thomas","id":"30525"},{"last_name":"Myroshnychenko","first_name":"Viktor","full_name":"Myroshnychenko, Viktor","id":"46371"},{"last_name":"Förstner","orcid":"0000-0001-7059-9862","first_name":"Jens","full_name":"Förstner, Jens","id":"158"},{"orcid":"https://orcid.org/0000-0002-3787-3572","last_name":"Meier","first_name":"Cedrik","full_name":"Meier, Cedrik","id":"20798"}],"year":"2023","title":"A multi-mode super-fano mechanism for enhanced third harmonic generation in silicon metasurfaces","intvolume":"        12","article_type":"original","date_updated":"2023-04-21T10:04:05Z","publication_status":"published","language":[{"iso":"eng"}],"doi":"https://doi.org/10.1038/s41377-023-01134-1"},{"user_id":"158","ddc":["530"],"publisher":"American Chemical Society (ACS)","_id":"45596","has_accepted_license":"1","status":"public","oa":"1","project":[{"name":"TRR 142 - B06: TRR 142 - Ultraschnelle kohärente opto-elektronische Kontrolle eines photonischen Quantensystems (B06*)","grant_number":"231447078","_id":"167"},{"_id":"55","name":"TRR 142 - B: TRR 142 - Project Area B"},{"name":"TRR 142: TRR 142 - Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen","grant_number":"231447078","_id":"53"},{"name":"TRR 142 - C05: TRR 142 - Nichtlineare optische Oberflächen basierend auf ZnO-plasmonischen Hybrid-Nanostrukturen (C05)","grant_number":"231447078","_id":"75"},{"_id":"56","name":"TRR 142 - C: TRR 142 - Project Area C"},{"_id":"52","name":"PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing"}],"citation":{"mla":"Hähnel, David, et al. “Efficient Modeling and Tailoring of Nonlinear Wavefronts in Dielectric Metasurfaces.” <i>ACS Photonics</i>, American Chemical Society (ACS), 2023, doi:<a href=\"https://doi.org/10.1021/acsphotonics.2c01967\">10.1021/acsphotonics.2c01967</a>.","bibtex":"@article{Hähnel_Förstner_Myroshnychenko_2023, title={Efficient Modeling and Tailoring of Nonlinear Wavefronts in Dielectric Metasurfaces}, DOI={<a href=\"https://doi.org/10.1021/acsphotonics.2c01967\">10.1021/acsphotonics.2c01967</a>}, journal={ACS Photonics}, publisher={American Chemical Society (ACS)}, author={Hähnel, David and Förstner, Jens and Myroshnychenko, Viktor}, year={2023} }","ama":"Hähnel D, Förstner J, Myroshnychenko V. Efficient Modeling and Tailoring of Nonlinear Wavefronts in Dielectric Metasurfaces. <i>ACS Photonics</i>. Published online 2023. doi:<a href=\"https://doi.org/10.1021/acsphotonics.2c01967\">10.1021/acsphotonics.2c01967</a>","ieee":"D. Hähnel, J. Förstner, and V. Myroshnychenko, “Efficient Modeling and Tailoring of Nonlinear Wavefronts in Dielectric Metasurfaces,” <i>ACS Photonics</i>, 2023, doi: <a href=\"https://doi.org/10.1021/acsphotonics.2c01967\">10.1021/acsphotonics.2c01967</a>.","apa":"Hähnel, D., Förstner, J., &#38; Myroshnychenko, V. (2023). Efficient Modeling and Tailoring of Nonlinear Wavefronts in Dielectric Metasurfaces. <i>ACS Photonics</i>. <a href=\"https://doi.org/10.1021/acsphotonics.2c01967\">https://doi.org/10.1021/acsphotonics.2c01967</a>","short":"D. Hähnel, J. Förstner, V. Myroshnychenko, ACS Photonics (2023).","chicago":"Hähnel, David, Jens Förstner, and Viktor Myroshnychenko. “Efficient Modeling and Tailoring of Nonlinear Wavefronts in Dielectric Metasurfaces.” <i>ACS Photonics</i>, 2023. <a href=\"https://doi.org/10.1021/acsphotonics.2c01967\">https://doi.org/10.1021/acsphotonics.2c01967</a>."},"file_date_updated":"2023-06-13T09:48:17Z","doi":"10.1021/acsphotonics.2c01967","language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1"}],"publication_status":"published","date_updated":"2023-06-13T09:49:12Z","author":[{"full_name":"Hähnel, David","last_name":"Hähnel","first_name":"David"},{"first_name":"Jens","last_name":"Förstner","orcid":"0000-0001-7059-9862","full_name":"Förstner, Jens","id":"158"},{"first_name":"Viktor","last_name":"Myroshnychenko","full_name":"Myroshnychenko, Viktor","id":"46371"}],"publication_identifier":{"issn":["2330-4022","2330-4022"]},"year":"2023","title":"Efficient Modeling and Tailoring of Nonlinear Wavefronts in Dielectric Metasurfaces","department":[{"_id":"61"},{"_id":"230"},{"_id":"429"}],"keyword":["tet_topic_meta"],"type":"journal_article","date_created":"2023-06-13T09:43:25Z","file":[{"content_type":"application/pdf","file_id":"45597","file_size":5382111,"access_level":"open_access","file_name":"2023-06 Hähnel - ACS Photonics - Efficient Modeling and Tailoring of Nonlinear Wavefronts in Dielectric Metasurfaces.pdf","date_updated":"2023-06-13T09:48:17Z","relation":"main_file","date_created":"2023-06-13T09:48:17Z","creator":"fossie"}],"abstract":[{"text":"Dielectric metasurfaces provide a unique platform for efficient harmonic generation and optical wavefront manipulation at the nanoscale. Tailoring phase and amplitude of a nonlinearly generated wave with a high emission efficiency using resonance-based metasurfaces is a challenging task that often requires state-of-the-art numerical methods. Here, we propose a simple yet effective approach combining a sampling method with a Monte Carlo approach to design the third-harmonic wavefront generated by all-dielectric metasurfaces composed of elliptical silicon nanodisks. Using this approach, we theoretically demonstrate the full nonlinear 2π phase control with a uniform and highest possible amplitude in the considered parameter space, allowing us to design metasurfaces operating as third harmonic beam deflectors capable of steering light into a desired direction with high emission efficiency. The TH beam deflection with a record calculated average conversion efficiency of 1.2 × 10–1 W–2 is achieved. We anticipate that the proposed approach will be widely applied as alternative to commonly used optimization algorithms with higher complexity and implementation effort for the design of metasurfaces with other holographic functionalities.","lang":"eng"}],"publication":"ACS Photonics"},{"author":[{"id":"26059","first_name":"Yevgen","last_name":"Grynko","full_name":"Grynko, Yevgen"},{"full_name":"Förstner, Jens","orcid":"0000-0001-7059-9862","first_name":"Jens","last_name":"Förstner","id":"158"}],"publication_identifier":{"isbn":["9783319554372","9783319554389"],"issn":["0342-4111","1556-1534"]},"year":"2017","title":"Simulation of Second Harmonic Generation from Photonic Nanostructures Using the Discontinuous Galerkin Time Domain Method","date_updated":"2022-01-06T06:59:41Z","publication_status":"published","language":[{"iso":"eng"}],"doi":"10.1007/978-3-319-55438-9_9","publication":"Recent Trends in Computational Photonics","abstract":[{"text":"We apply the Discontinuous Galerkin Time Domain (DGTD) method for numerical simulations of the second harmonic generation from various metallic nanostructures. A Maxwell–Vlasov hydrodynamic model is used to describe the nonlinear effects in the motion of the excited free electrons in a metal. The results are compared with the corresponding experimental measurements for split-ring resonators and plasmonic gap antennas.","lang":"eng"}],"date_created":"2018-08-07T10:42:30Z","file":[{"date_created":"2018-08-16T08:05:50Z","creator":"fossie","content_type":"application/pdf","file_id":"3916","access_level":"request","file_size":2798215,"file_name":"Recent-Trends-in-Computational-Photonics - chapter 9 - Grynko - SHG DG.pdf","date_updated":"2022-01-06T06:59:40Z","relation":"main_file"}],"department":[{"_id":"61"}],"type":"book_chapter","keyword":["tet_topic_numerics","tet_topic_shg","tet_topic_meta"],"status":"public","has_accepted_license":"1","publisher":"Springer International Publishing","_id":"3836","page":"261-284","editor":[{"last_name":"Agrawal","first_name":"Arti","full_name":"Agrawal, Arti"}],"ddc":["530"],"user_id":"158","citation":{"short":"Y. Grynko, J. Förstner, in: A. Agrawal (Ed.), Recent Trends in Computational Photonics, Springer International Publishing, Cham, 2017, pp. 261–284.","ama":"Grynko Y, Förstner J. Simulation of Second Harmonic Generation from Photonic Nanostructures Using the Discontinuous Galerkin Time Domain Method. In: Agrawal A, ed. <i>Recent Trends in Computational Photonics</i>. Cham: Springer International Publishing; 2017:261-284. doi:<a href=\"https://doi.org/10.1007/978-3-319-55438-9_9\">10.1007/978-3-319-55438-9_9</a>","chicago":"Grynko, Yevgen, and Jens Förstner. “Simulation of Second Harmonic Generation from Photonic Nanostructures Using the Discontinuous Galerkin Time Domain Method.” In <i>Recent Trends in Computational Photonics</i>, edited by Arti Agrawal, 261–84. Cham: Springer International Publishing, 2017. <a href=\"https://doi.org/10.1007/978-3-319-55438-9_9\">https://doi.org/10.1007/978-3-319-55438-9_9</a>.","bibtex":"@inbook{Grynko_Förstner_2017, place={Cham}, title={Simulation of Second Harmonic Generation from Photonic Nanostructures Using the Discontinuous Galerkin Time Domain Method}, DOI={<a href=\"https://doi.org/10.1007/978-3-319-55438-9_9\">10.1007/978-3-319-55438-9_9</a>}, booktitle={Recent Trends in Computational Photonics}, publisher={Springer International Publishing}, author={Grynko, Yevgen and Förstner, Jens}, editor={Agrawal, ArtiEditor}, year={2017}, pages={261–284} }","apa":"Grynko, Y., &#38; Förstner, J. (2017). Simulation of Second Harmonic Generation from Photonic Nanostructures Using the Discontinuous Galerkin Time Domain Method. In A. Agrawal (Ed.), <i>Recent Trends in Computational Photonics</i> (pp. 261–284). Cham: Springer International Publishing. <a href=\"https://doi.org/10.1007/978-3-319-55438-9_9\">https://doi.org/10.1007/978-3-319-55438-9_9</a>","mla":"Grynko, Yevgen, and Jens Förstner. “Simulation of Second Harmonic Generation from Photonic Nanostructures Using the Discontinuous Galerkin Time Domain Method.” <i>Recent Trends in Computational Photonics</i>, edited by Arti Agrawal, Springer International Publishing, 2017, pp. 261–84, doi:<a href=\"https://doi.org/10.1007/978-3-319-55438-9_9\">10.1007/978-3-319-55438-9_9</a>.","ieee":"Y. Grynko and J. Förstner, “Simulation of Second Harmonic Generation from Photonic Nanostructures Using the Discontinuous Galerkin Time Domain Method,” in <i>Recent Trends in Computational Photonics</i>, A. Agrawal, Ed. Cham: Springer International Publishing, 2017, pp. 261–284."},"file_date_updated":"2022-01-06T06:59:40Z","project":[{"_id":"52","name":"Computing Resources Provided by the Paderborn Center for Parallel Computing"},{"_id":"53","name":"TRR 142"},{"_id":"54","name":"TRR 142 - Project Area A"},{"_id":"62","name":"TRR 142 - Subproject A5"}],"place":"Cham"},{"has_accepted_license":"1","status":"public","volume":122,"ddc":["530"],"user_id":"55706","_id":"3886","publisher":"Springer Nature","page":"45-50","project":[{"_id":"52","name":"Computing Resources Provided by the Paderborn Center for Parallel Computing"}],"citation":{"apa":"Alberti, J., Linnenbank, H., Linden, S., Grynko, Y., &#38; Förstner, J. (2016). The role of electromagnetic interactions in second harmonic generation from plasmonic metamaterials. <i>Applied Physics B</i>, <i>122</i>(2), 45–50. <a href=\"https://doi.org/10.1007/s00340-015-6311-x\">https://doi.org/10.1007/s00340-015-6311-x</a>","ieee":"J. Alberti, H. Linnenbank, S. Linden, Y. Grynko, and J. Förstner, “The role of electromagnetic interactions in second harmonic generation from plasmonic metamaterials,” <i>Applied Physics B</i>, vol. 122, no. 2, pp. 45–50, 2016.","short":"J. Alberti, H. Linnenbank, S. Linden, Y. Grynko, J. Förstner, Applied Physics B 122 (2016) 45–50.","chicago":"Alberti, Julian, Heiko Linnenbank, Stefan Linden, Yevgen Grynko, and Jens Förstner. “The Role of Electromagnetic Interactions in Second Harmonic Generation from Plasmonic Metamaterials.” <i>Applied Physics B</i> 122, no. 2 (2016): 45–50. <a href=\"https://doi.org/10.1007/s00340-015-6311-x\">https://doi.org/10.1007/s00340-015-6311-x</a>.","mla":"Alberti, Julian, et al. “The Role of Electromagnetic Interactions in Second Harmonic Generation from Plasmonic Metamaterials.” <i>Applied Physics B</i>, vol. 122, no. 2, Springer Nature, 2016, pp. 45–50, doi:<a href=\"https://doi.org/10.1007/s00340-015-6311-x\">10.1007/s00340-015-6311-x</a>.","ama":"Alberti J, Linnenbank H, Linden S, Grynko Y, Förstner J. The role of electromagnetic interactions in second harmonic generation from plasmonic metamaterials. <i>Applied Physics B</i>. 2016;122(2):45-50. doi:<a href=\"https://doi.org/10.1007/s00340-015-6311-x\">10.1007/s00340-015-6311-x</a>","bibtex":"@article{Alberti_Linnenbank_Linden_Grynko_Förstner_2016, title={The role of electromagnetic interactions in second harmonic generation from plasmonic metamaterials}, volume={122}, DOI={<a href=\"https://doi.org/10.1007/s00340-015-6311-x\">10.1007/s00340-015-6311-x</a>}, number={2}, journal={Applied Physics B}, publisher={Springer Nature}, author={Alberti, Julian and Linnenbank, Heiko and Linden, Stefan and Grynko, Yevgen and Förstner, Jens}, year={2016}, pages={45–50} }"},"file_date_updated":"2018-08-13T09:04:39Z","intvolume":"       122","article_type":"original","date_updated":"2022-01-06T06:59:48Z","publication_status":"published","publication_identifier":{"issn":["0946-2171","1432-0649"]},"author":[{"first_name":"Julian","last_name":"Alberti","full_name":"Alberti, Julian"},{"last_name":"Linnenbank","first_name":"Heiko","full_name":"Linnenbank, Heiko"},{"full_name":"Linden, Stefan","first_name":"Stefan","last_name":"Linden"},{"id":"26059","last_name":"Grynko","first_name":"Yevgen","full_name":"Grynko, Yevgen"},{"full_name":"Förstner, Jens","first_name":"Jens","orcid":"0000-0001-7059-9862","last_name":"Förstner","id":"158"}],"year":"2016","title":"The role of electromagnetic interactions in second harmonic generation from plasmonic metamaterials","doi":"10.1007/s00340-015-6311-x","language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":" 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 \r\nsignal intensity of the different arrays upon resonant excitation of the fundamental plasmonic mode  strongly depends \r\non 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. \r\n\r\n(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]."}],"issue":"2","publication":"Applied Physics B","department":[{"_id":"61"}],"keyword":["tet_topic_shg","tet_topic_meta"],"type":"journal_article","date_created":"2018-08-13T08:59:27Z","file":[{"creator":"hclaudia","date_created":"2018-08-13T09:04:39Z","date_updated":"2018-08-13T09:04:39Z","relation":"main_file","access_level":"closed","file_size":863943,"file_name":"2016-03 Alberti,Linnenbank,Lindnen,Grynko,Förstner_The Role of Electromagnetic Interactions In Second Harmonic Generation From Plasmonic Metamaterials_Applied Physics B.pdf","success":1,"content_type":"application/pdf","file_id":"3887"}]},{"issue":"9","publication":"Applied Physics B","keyword":["tet_topic_meta","tet_topic_shg"],"type":"journal_article","department":[{"_id":"15"},{"_id":"230"},{"_id":"61"},{"_id":"289"},{"_id":"293"},{"_id":"170"}],"file":[{"date_updated":"2018-09-04T19:48:55Z","relation":"main_file","file_size":812759,"access_level":"closed","file_name":"2016-08 Grynko THz HHG - Applied Physics B.pdf","content_type":"application/pdf","success":1,"file_id":"4355","creator":"fossie","date_created":"2018-09-04T19:48:55Z"}],"date_created":"2018-03-20T18:13:38Z","date_updated":"2025-01-08T09:17:48Z","publication_status":"published","intvolume":"       122","title":"Simulations of high harmonic generation from plasmonic nanoparticles in the terahertz region","year":"2016","publication_identifier":{"issn":["0946-2171","1432-0649"]},"author":[{"id":"26059","full_name":"Grynko, Yevgen","last_name":"Grynko","first_name":"Yevgen"},{"full_name":"Zentgraf, Thomas","first_name":"Thomas","last_name":"Zentgraf","orcid":"0000-0002-8662-1101","id":"30525"},{"id":"344","first_name":"Torsten","last_name":"Meier","orcid":"0000-0001-8864-2072","full_name":"Meier, Torsten"},{"id":"158","first_name":"Jens","last_name":"Förstner","orcid":"0000-0001-7059-9862","full_name":"Förstner, Jens"}],"doi":"10.1007/s00340-016-6510-0","language":[{"iso":"eng"}],"project":[{"name":"TRR 142: TRR 142 - Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen","grant_number":"231447078","_id":"53"},{"_id":"54","name":"TRR 142 - A: TRR 142 - Project Area A"},{"grant_number":"231447078","_id":"62","name":"TRR 142 - A05: TRR 142 - Plasmonische Nanoantennen verstärkte Licht Emission und Frequenz Konversion in dielektrischen und Halbleiter-Mikrostrukturen (A05)"}],"file_date_updated":"2018-09-04T19:48:55Z","citation":{"apa":"Grynko, Y., Zentgraf, T., Meier, T., &#38; Förstner, J. (2016). Simulations of high harmonic generation from plasmonic nanoparticles in the terahertz region. <i>Applied Physics B</i>, <i>122</i>(9), 242. <a href=\"https://doi.org/10.1007/s00340-016-6510-0\">https://doi.org/10.1007/s00340-016-6510-0</a>","ieee":"Y. Grynko, T. Zentgraf, T. Meier, and J. Förstner, “Simulations of high harmonic generation from plasmonic nanoparticles in the terahertz region,” <i>Applied Physics B</i>, vol. 122, no. 9, p. 242, 2016, doi: <a href=\"https://doi.org/10.1007/s00340-016-6510-0\">10.1007/s00340-016-6510-0</a>.","chicago":"Grynko, Yevgen, Thomas Zentgraf, Torsten Meier, and Jens Förstner. “Simulations of High Harmonic Generation from Plasmonic Nanoparticles in the Terahertz Region.” <i>Applied Physics B</i> 122, no. 9 (2016): 242. <a href=\"https://doi.org/10.1007/s00340-016-6510-0\">https://doi.org/10.1007/s00340-016-6510-0</a>.","short":"Y. Grynko, T. Zentgraf, T. Meier, J. Förstner, Applied Physics B 122 (2016) 242.","mla":"Grynko, Yevgen, et al. “Simulations of High Harmonic Generation from Plasmonic Nanoparticles in the Terahertz Region.” <i>Applied Physics B</i>, vol. 122, no. 9, Springer Nature, 2016, p. 242, doi:<a href=\"https://doi.org/10.1007/s00340-016-6510-0\">10.1007/s00340-016-6510-0</a>.","ama":"Grynko Y, Zentgraf T, Meier T, Förstner J. Simulations of high harmonic generation from plasmonic nanoparticles in the terahertz region. <i>Applied Physics B</i>. 2016;122(9):242. doi:<a href=\"https://doi.org/10.1007/s00340-016-6510-0\">10.1007/s00340-016-6510-0</a>","bibtex":"@article{Grynko_Zentgraf_Meier_Förstner_2016, title={Simulations of high harmonic generation from plasmonic nanoparticles in the terahertz region}, volume={122}, DOI={<a href=\"https://doi.org/10.1007/s00340-016-6510-0\">10.1007/s00340-016-6510-0</a>}, number={9}, journal={Applied Physics B}, publisher={Springer Nature}, author={Grynko, Yevgen and Zentgraf, Thomas and Meier, Torsten and Förstner, Jens}, year={2016}, pages={242} }"},"has_accepted_license":"1","status":"public","ddc":["530"],"user_id":"30525","volume":122,"page":"242","publisher":"Springer Nature","_id":"1454"},{"citation":{"mla":"Niesler, Fabian B., et al. “Collective Effects in Second-Harmonic Generation from Split-Ring-Resonator Arrays.” <i>Conference on Lasers and Electro-Optics 2012</i>, vol. 109, no. 1, QTh3E.2, OSA, 2013, doi:<a href=\"https://doi.org/10.1364/qels.2012.qth3e.2\">10.1364/qels.2012.qth3e.2</a>.","bibtex":"@inproceedings{Niesler_Linden_Förstner_Grynko_Meier_Wegener_2013, series={Physical review letters}, title={Collective effects in second-harmonic generation from split-ring-resonator arrays}, volume={109}, DOI={<a href=\"https://doi.org/10.1364/qels.2012.qth3e.2\">10.1364/qels.2012.qth3e.2</a>}, number={1QTh3E.2}, booktitle={Conference on Lasers and Electro-Optics 2012}, publisher={OSA}, author={Niesler, Fabian B. and Linden, Stefan and Förstner, Jens and Grynko, Yevgen and Meier, Torsten and Wegener, Martin}, year={2013}, collection={Physical review letters} }","ama":"Niesler FB, Linden S, Förstner J, Grynko Y, Meier T, Wegener M. Collective effects in second-harmonic generation from split-ring-resonator arrays. In: <i>Conference on Lasers and Electro-Optics 2012</i>. Vol 109. Physical review letters. OSA; 2013. doi:<a href=\"https://doi.org/10.1364/qels.2012.qth3e.2\">10.1364/qels.2012.qth3e.2</a>","ieee":"F. B. Niesler, S. Linden, J. Förstner, Y. Grynko, T. Meier, and M. Wegener, “Collective effects in second-harmonic generation from split-ring-resonator arrays,” in <i>Conference on Lasers and Electro-Optics 2012</i>, San Jose, California United States, 2013, vol. 109, no. 1, doi: <a href=\"https://doi.org/10.1364/qels.2012.qth3e.2\">10.1364/qels.2012.qth3e.2</a>.","apa":"Niesler, F. B., Linden, S., Förstner, J., Grynko, Y., Meier, T., &#38; Wegener, M. (2013). Collective effects in second-harmonic generation from split-ring-resonator arrays. <i>Conference on Lasers and Electro-Optics 2012</i>, <i>109</i>(1), Article QTh3E.2. <a href=\"https://doi.org/10.1364/qels.2012.qth3e.2\">https://doi.org/10.1364/qels.2012.qth3e.2</a>","chicago":"Niesler, Fabian B., Stefan Linden, Jens Förstner, Yevgen Grynko, Torsten Meier, and Martin Wegener. “Collective Effects in Second-Harmonic Generation from Split-Ring-Resonator Arrays.” In <i>Conference on Lasers and Electro-Optics 2012</i>, Vol. 109. Physical Review Letters. OSA, 2013. <a href=\"https://doi.org/10.1364/qels.2012.qth3e.2\">https://doi.org/10.1364/qels.2012.qth3e.2</a>.","short":"F.B. Niesler, S. Linden, J. Förstner, Y. Grynko, T. Meier, M. 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Optimum nonlinear conversion occurs at intermediate lattice constants.","lang":"eng"}],"date_created":"2018-08-22T09:43:54Z","keyword":["tet_topic_shg","tet_topic_meta"],"type":"conference","department":[{"_id":"15"},{"_id":"293"},{"_id":"170"},{"_id":"61"},{"_id":"230"}],"title":"Collective effects in second-harmonic generation from split-ring-resonator arrays","year":"2013","publication_identifier":{"isbn":["9781557529435"]},"author":[{"last_name":"Niesler","first_name":"Fabian B.","full_name":"Niesler, Fabian B."},{"full_name":"Linden, Stefan","last_name":"Linden","first_name":"Stefan"},{"full_name":"Förstner, Jens","last_name":"Förstner","orcid":"0000-0001-7059-9862","first_name":"Jens","id":"158"},{"full_name":"Grynko, Yevgen","last_name":"Grynko","first_name":"Yevgen","id":"26059"},{"id":"344","last_name":"Meier","first_name":"Torsten","orcid":"0000-0001-8864-2072","full_name":"Meier, Torsten"},{"first_name":"Martin","last_name":"Wegener","full_name":"Wegener, Martin"}],"publication_status":"published","date_updated":"2023-04-16T01:20:07Z","intvolume":"       109","article_number":" QTh3E.2","series_title":"Physical review letters","language":[{"iso":"eng"}],"doi":"10.1364/qels.2012.qth3e.2"},{"publication":"Ultrafast Phenomena and Nanophotonics XVII","abstract":[{"text":"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.","lang":"eng"}],"file":[{"success":1,"content_type":"application/pdf","file_id":"3962","date_updated":"2018-08-21T07:41:47Z","relation":"main_file","access_level":"closed","file_size":1360450,"file_name":"2013-01 Grynko,Meier,Linden,Niesler,Wegener,Förstner_Optimal Second-Harmonic Generation in Split-Ring Resonator Arrays.pdf","date_created":"2018-08-21T07:41:47Z","creator":"hclaudia"}],"date_created":"2018-08-21T07:38:08Z","keyword":["tet_topic_shg","tet_topic_meta"],"type":"conference","department":[{"_id":"15"},{"_id":"293"},{"_id":"170"},{"_id":"61"},{"_id":"230"}],"year":"2013","title":"Optimal second-harmonic generation in split-ring resonator arrays","author":[{"last_name":"Grynko","first_name":"Yevgen","full_name":"Grynko, Yevgen","id":"26059"},{"id":"344","last_name":"Meier","first_name":"Torsten","orcid":"0000-0001-8864-2072","full_name":"Meier, Torsten"},{"first_name":"Stefan","last_name":"Linden","full_name":"Linden, Stefan"},{"first_name":"Fabian B. 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P. and Wegener, Martin and Förstner, Jens}, editor={Betz, Markus and Elezzabi, Abdulhakem Y. and Song, Jin-Joo and Tsen, Kong-Thon}, year={2013}, pages={86230L-86230L–9}, collection={SPIE Proceedings} }","ama":"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. <i>Ultrafast Phenomena and Nanophotonics XVII</i>. Vol 8623. SPIE Proceedings. SPIE; 2013:86230L-86230L - 9. doi:<a href=\"https://doi.org/10.1117/12.2003279\">10.1117/12.2003279</a>","ieee":"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 <i>Ultrafast Phenomena and Nanophotonics XVII</i>, 2013, vol. 8623, pp. 86230L-86230L–9, doi: <a href=\"https://doi.org/10.1117/12.2003279\">10.1117/12.2003279</a>.","apa":"Grynko, Y., Meier, T., Linden, S., Niesler, F. B. P., Wegener, M., &#38; Förstner, J. (2013). Optimal second-harmonic generation in split-ring resonator arrays. In M. Betz, A. Y. Elezzabi, J.-J. Song, &#38; K.-T. Tsen (Eds.), <i>Ultrafast Phenomena and Nanophotonics XVII</i> (Vol. 8623, pp. 86230L-86230L – 9). SPIE. <a href=\"https://doi.org/10.1117/12.2003279\">https://doi.org/10.1117/12.2003279</a>","chicago":"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 <i>Ultrafast Phenomena and Nanophotonics XVII</i>, edited by Markus Betz, Abdulhakem Y. Elezzabi, Jin-Joo Song, and Kong-Thon Tsen, 8623:86230L-86230L – 9. SPIE Proceedings. SPIE, 2013. <a href=\"https://doi.org/10.1117/12.2003279\">https://doi.org/10.1117/12.2003279</a>.","short":"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, pp. 86230L-86230L–9."},"status":"public","has_accepted_license":"1","page":"86230L-86230L-9","_id":"3961","publisher":"SPIE","user_id":"49063","ddc":["530"],"volume":8623,"editor":[{"full_name":"Betz, Markus","first_name":"Markus","last_name":"Betz"},{"last_name":"Elezzabi","first_name":"Abdulhakem Y.","full_name":"Elezzabi, Abdulhakem Y."},{"first_name":"Jin-Joo","last_name":"Song","full_name":"Song, Jin-Joo"},{"full_name":"Tsen, Kong-Thon","first_name":"Kong-Thon","last_name":"Tsen"}]},{"user_id":"16199","ddc":["530"],"volume":1475,"page":"128-130","publisher":"AIP Conference Proceedings","_id":"3967","has_accepted_license":"1","status":"public","conference":{"location":"Bad Honnef","name":"The Fith International Workshop 2012 (AIP conference Proceedings)"},"file_date_updated":"2018-08-30T10:33:33Z","citation":{"mla":"Grynko, Yevgen, et al. <i>Near-Field Coupling and Second-Harmonic Generation in Split-Ring Resonator Arrays</i>. no. 1, AIP Conference Proceedings, 2012, pp. 128–30, doi:<a href=\"https://doi.org/10.1063/1.4750118\">10.1063/1.4750118</a>.","bibtex":"@inproceedings{Grynko_Meier_Linden_Niesler_Wegener_Förstner_2012, title={Near-field coupling and second-harmonic generation in split-ring resonator arrays}, volume={1475}, DOI={<a href=\"https://doi.org/10.1063/1.4750118\">10.1063/1.4750118</a>}, number={1}, publisher={AIP Conference Proceedings}, author={Grynko, Yevgen and Meier, Torsten and Linden, Stefan and Niesler, Fabian B. P. and Wegener, Martin and Förstner, Jens}, year={2012}, pages={128–130} }","ama":"Grynko Y, Meier T, Linden S, Niesler FBP, Wegener M, Förstner J. Near-field coupling and second-harmonic generation in split-ring resonator arrays. In: Vol 1475. AIP Conference Proceedings; 2012:128-130. doi:<a href=\"https://doi.org/10.1063/1.4750118\">10.1063/1.4750118</a>","ieee":"Y. Grynko, T. Meier, S. Linden, F. B. P. Niesler, M. Wegener, and J. Förstner, “Near-field coupling and second-harmonic generation in split-ring resonator arrays,” Bad Honnef, 2012, vol. 1475, no. 1, pp. 128–130, doi: <a href=\"https://doi.org/10.1063/1.4750118\">10.1063/1.4750118</a>.","apa":"Grynko, Y., Meier, T., Linden, S., Niesler, F. B. P., Wegener, M., &#38; Förstner, J. (2012). <i>Near-field coupling and second-harmonic generation in split-ring resonator arrays</i>. <i>1475</i>(1), 128–130. <a href=\"https://doi.org/10.1063/1.4750118\">https://doi.org/10.1063/1.4750118</a>","short":"Y. Grynko, T. Meier, S. Linden, F.B.P. Niesler, M. Wegener, J. Förstner, in: AIP Conference Proceedings, 2012, pp. 128–130.","chicago":"Grynko, Yevgen, Torsten Meier, Stefan Linden, Fabian B. P. Niesler, Martin Wegener, and Jens Förstner. “Near-Field Coupling and Second-Harmonic Generation in Split-Ring Resonator Arrays,” 1475:128–30. AIP Conference Proceedings, 2012. <a href=\"https://doi.org/10.1063/1.4750118\">https://doi.org/10.1063/1.4750118</a>."},"doi":"10.1063/1.4750118","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2025-12-16T11:34:33Z","intvolume":"      1475","title":"Near-field coupling and second-harmonic generation in split-ring resonator arrays","year":"2012","author":[{"full_name":"Grynko, Yevgen","last_name":"Grynko","first_name":"Yevgen","id":"26059"},{"id":"344","orcid":"0000-0001-8864-2072","last_name":"Meier","first_name":"Torsten","full_name":"Meier, Torsten"},{"first_name":"Stefan","last_name":"Linden","full_name":"Linden, Stefan"},{"last_name":"Niesler","first_name":"Fabian B. P.","full_name":"Niesler, Fabian B. P."},{"first_name":"Martin","last_name":"Wegener","full_name":"Wegener, Martin"},{"full_name":"Förstner, Jens","orcid":"0000-0001-7059-9862","last_name":"Förstner","first_name":"Jens","id":"158"}],"type":"conference","keyword":["tet_topic_meta","tet_topic_shg"],"department":[{"_id":"15"},{"_id":"230"},{"_id":"170"},{"_id":"293"},{"_id":"61"},{"_id":"35"},{"_id":"34"}],"file":[{"content_type":"application/pdf","success":1,"file_id":"4327","file_size":330893,"access_level":"closed","file_name":"2012 Grynko,Meier T,Lindne,Niesler,Wegener,Förstner_Near-Field coupling and Second-Harmonic Generation in Split-Ring Resonator Arrays.pdf","date_updated":"2018-08-30T10:33:33Z","relation":"main_file","date_created":"2018-08-30T10:33:33Z","creator":"hclaudia"}],"date_created":"2018-08-21T07:55:56Z","abstract":[{"lang":"eng","text":"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"}],"issue":"1"},{"date_created":"2018-08-21T08:34:01Z","file":[{"content_type":"application/pdf","file_id":"3971","date_updated":"2018-09-04T19:18:47Z","relation":"main_file","file_size":1280595,"access_level":"open_access","file_name":"2012 Niesler,Linden,Förstner,Grynko,Meier,Wegener_Collective Effects in Second-Harmonic Generation from Split-Ring-Resonator Arrays.pdf","date_created":"2018-08-21T08:37:59Z","creator":"hclaudia"}],"department":[{"_id":"15"},{"_id":"293"},{"_id":"170"},{"_id":"230"},{"_id":"35"},{"_id":"34"},{"_id":"61"}],"type":"journal_article","keyword":["tet_topic_shg","tet_topic_meta"],"publication":"Physical Review Letters","issue":"1","abstract":[{"lang":"eng","text":"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."}],"language":[{"iso":"eng"}],"article_number":"015502","doi":"10.1103/physrevlett.109.015502","publication_identifier":{"issn":["0031-9007","1079-7114"]},"author":[{"first_name":"S.","last_name":"Linden","full_name":"Linden, S."},{"full_name":"Niesler, F. B. P.","first_name":"F. B. P.","last_name":"Niesler"},{"id":"158","first_name":"Jens","last_name":"Förstner","orcid":"0000-0001-7059-9862","full_name":"Förstner, Jens"},{"id":"26059","last_name":"Grynko","first_name":"Yevgen","full_name":"Grynko, Yevgen"},{"full_name":"Meier, Torsten","first_name":"Torsten","orcid":"0000-0001-8864-2072","last_name":"Meier","id":"344"},{"full_name":"Wegener, M.","last_name":"Wegener","first_name":"M."}],"year":"2012","title":"Collective Effects in Second-Harmonic Generation from Split-Ring-Resonator Arrays","intvolume":"       109","article_type":"original","date_updated":"2025-12-16T16:42:04Z","publication_status":"published","oa":"1","citation":{"apa":"Linden, S., Niesler, F. B. P., Förstner, J., Grynko, Y., Meier, T., &#38; Wegener, M. (2012). Collective Effects in Second-Harmonic Generation from Split-Ring-Resonator Arrays. <i>Physical Review Letters</i>, <i>109</i>(1), Article 015502. <a href=\"https://doi.org/10.1103/physrevlett.109.015502\">https://doi.org/10.1103/physrevlett.109.015502</a>","ieee":"S. Linden, F. B. P. Niesler, J. Förstner, Y. Grynko, T. Meier, and M. Wegener, “Collective Effects in Second-Harmonic Generation from Split-Ring-Resonator Arrays,” <i>Physical Review Letters</i>, vol. 109, no. 1, Art. no. 015502, 2012, doi: <a href=\"https://doi.org/10.1103/physrevlett.109.015502\">10.1103/physrevlett.109.015502</a>.","chicago":"Linden, S., F. B. P. Niesler, Jens Förstner, Yevgen Grynko, Torsten Meier, and M. Wegener. “Collective Effects in Second-Harmonic Generation from Split-Ring-Resonator Arrays.” <i>Physical Review Letters</i> 109, no. 1 (2012). <a href=\"https://doi.org/10.1103/physrevlett.109.015502\">https://doi.org/10.1103/physrevlett.109.015502</a>.","short":"S. Linden, F.B.P. Niesler, J. Förstner, Y. Grynko, T. Meier, M. Wegener, Physical Review Letters 109 (2012).","mla":"Linden, S., et al. “Collective Effects in Second-Harmonic Generation from Split-Ring-Resonator Arrays.” <i>Physical Review Letters</i>, vol. 109, no. 1, 015502, American Physical Society (APS), 2012, doi:<a href=\"https://doi.org/10.1103/physrevlett.109.015502\">10.1103/physrevlett.109.015502</a>.","ama":"Linden S, Niesler FBP, Förstner J, Grynko Y, Meier T, Wegener M. Collective Effects in Second-Harmonic Generation from Split-Ring-Resonator Arrays. <i>Physical Review Letters</i>. 2012;109(1). doi:<a href=\"https://doi.org/10.1103/physrevlett.109.015502\">10.1103/physrevlett.109.015502</a>","bibtex":"@article{Linden_Niesler_Förstner_Grynko_Meier_Wegener_2012, title={Collective Effects in Second-Harmonic Generation from Split-Ring-Resonator Arrays}, volume={109}, DOI={<a href=\"https://doi.org/10.1103/physrevlett.109.015502\">10.1103/physrevlett.109.015502</a>}, number={1015502}, journal={Physical Review Letters}, publisher={American Physical Society (APS)}, author={Linden, S. and Niesler, F. B. P. and Förstner, Jens and Grynko, Yevgen and Meier, Torsten and Wegener, M.}, year={2012} }"},"file_date_updated":"2018-09-04T19:18:47Z","publisher":"American Physical Society (APS)","_id":"3970","urn":"39702","volume":109,"ddc":["530"],"user_id":"16199","status":"public","has_accepted_license":"1"},{"publisher":"AIP","_id":"4042","page":"76-78","editor":[{"full_name":"Chigrin, Dmitry N.","first_name":"Dmitry N.","last_name":"Chigrin"}],"volume":1398,"user_id":"14972","conference":{"name":"American Institute of Physics Conference Series 1398"},"status":"public","citation":{"short":"Y. Grynko, J. Förstner, T. Meier, A. Radke, T. Gissibl, P.V. Braun, H. Giessen, 1398 (2011) 76–78.","chicago":"Grynko, Yevgen, Jens Förstner, Torsten Meier, André Radke, Timo Gissibl, Paul V. Braun, and Harald Giessen. “Application of the Discontinuous Galerkin Time Domain Method to the Optics of Bi-Chiral Plasmonic Crystals.” Edited by Dmitry N. Chigrin.  AIP Conference Proceedings. AIP, 2011. <a href=\"https://doi.org/10.1063/1.3644217\">https://doi.org/10.1063/1.3644217</a>.","apa":"Grynko, Y., Förstner, J., Meier, T., Radke, A., Gissibl, T., Braun, P. V., &#38; Giessen, H. (2011). <i>Application of the Discontinuous Galerkin Time Domain Method to the Optics of Bi-Chiral Plasmonic Crystals</i> (D. N. Chigrin, Ed.; Vol. 1398, Issue 1, pp. 76–78). AIP. <a href=\"https://doi.org/10.1063/1.3644217\">https://doi.org/10.1063/1.3644217</a>","ieee":"Y. Grynko <i>et al.</i>, “Application of the Discontinuous Galerkin Time Domain Method to the Optics of Bi-Chiral Plasmonic Crystals,” vol. 1398, no. 1. AIP, pp. 76–78, 2011, doi: <a href=\"https://doi.org/10.1063/1.3644217\">10.1063/1.3644217</a>.","ama":"Grynko Y, Förstner J, Meier T, et al. Application of the Discontinuous Galerkin Time Domain Method to the Optics of Bi-Chiral Plasmonic Crystals. Chigrin DN, ed. 2011;1398(1):76-78. doi:<a href=\"https://doi.org/10.1063/1.3644217\">10.1063/1.3644217</a>","bibtex":"@article{Grynko_Förstner_Meier_Radke_Gissibl_Braun_Giessen_2011, series={ AIP Conference Proceedings}, title={Application of the Discontinuous Galerkin Time Domain Method to the Optics of Bi-Chiral Plasmonic Crystals}, volume={1398}, DOI={<a href=\"https://doi.org/10.1063/1.3644217\">10.1063/1.3644217</a>}, number={1}, publisher={AIP}, 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.}, year={2011}, pages={76–78}, collection={ AIP Conference Proceedings} }","mla":"Grynko, Yevgen, et al. <i>Application of the Discontinuous Galerkin Time Domain Method to the Optics of Bi-Chiral Plasmonic Crystals</i>. Edited by Dmitry N. Chigrin, vol. 1398, no. 1, AIP, 2011, pp. 76–78, doi:<a href=\"https://doi.org/10.1063/1.3644217\">10.1063/1.3644217</a>."},"series_title":" AIP Conference Proceedings","language":[{"iso":"eng"}],"doi":"10.1063/1.3644217","author":[{"id":"26059","first_name":"Yevgen","last_name":"Grynko","full_name":"Grynko, Yevgen"},{"id":"158","first_name":"Jens","orcid":"0000-0001-7059-9862","last_name":"Förstner","full_name":"Förstner, Jens"},{"id":"344","full_name":"Meier, Torsten","last_name":"Meier","first_name":"Torsten","orcid":"0000-0001-8864-2072"},{"first_name":"André","last_name":"Radke","full_name":"Radke, André"},{"full_name":"Gissibl, Timo","last_name":"Gissibl","first_name":"Timo"},{"last_name":"Braun","first_name":"Paul V.","full_name":"Braun, Paul V."},{"full_name":"Giessen, Harald","last_name":"Giessen","first_name":"Harald"}],"year":"2011","title":"Application of the Discontinuous Galerkin Time Domain Method to the Optics of Bi-Chiral Plasmonic Crystals","intvolume":"      1398","date_updated":"2026-02-24T15:10:33Z","publication_status":"published","date_created":"2018-08-22T10:04:09Z","department":[{"_id":"15"},{"_id":"293"},{"_id":"170"},{"_id":"230"}],"keyword":["tet_topic_meta"],"type":"conference","issue":"1","abstract":[{"text":"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.","lang":"eng"}]},{"has_accepted_license":"1","status":"public","user_id":"16199","ddc":["530"],"volume":89,"urn":"40448","_id":"4044","file_date_updated":"2018-09-04T19:11:52Z","citation":{"chicago":"Grynko, Yevgen, Jens Förstner, and Torsten Meier. “Application of the Discontinous Galerkin Time Domain Method to the Optics of Metallic Nanostructures.” <i>AAPP | Atti Della Accademia Peloritana Dei Pericolanti</i> 89, no. 1 (2011). <a href=\"https://doi.org/10.1478/C1V89S1P041\">https://doi.org/10.1478/C1V89S1P041</a>.","short":"Y. Grynko, J. Förstner, T. Meier, AAPP | Atti Della Accademia Peloritana Dei Pericolanti 89 (2011).","ieee":"Y. Grynko, J. Förstner, and T. Meier, “Application of the discontinous Galerkin time domain method to the optics of metallic nanostructures,” <i>AAPP | Atti della Accademia Peloritana dei Pericolanti</i>, vol. 89, no. 1, Art. no. C1V89S1P041, 2011, doi: <a href=\"https://doi.org/10.1478/C1V89S1P041\">10.1478/C1V89S1P041</a>.","apa":"Grynko, Y., Förstner, J., &#38; Meier, T. (2011). Application of the discontinous Galerkin time domain method to the optics of metallic nanostructures. <i>AAPP | Atti Della Accademia Peloritana Dei Pericolanti</i>, <i>89</i>(1), Article C1V89S1P041. <a href=\"https://doi.org/10.1478/C1V89S1P041\">https://doi.org/10.1478/C1V89S1P041</a>","bibtex":"@article{Grynko_Förstner_Meier_2011, title={Application of the discontinous Galerkin time domain method to the optics of metallic nanostructures}, volume={89}, DOI={<a href=\"https://doi.org/10.1478/C1V89S1P041\">10.1478/C1V89S1P041</a>}, number={1C1V89S1P041}, journal={AAPP | Atti della Accademia Peloritana dei Pericolanti}, author={Grynko, Yevgen and Förstner, Jens and Meier, Torsten}, year={2011} }","ama":"Grynko Y, Förstner J, Meier T. Application of the discontinous Galerkin time domain method to the optics of metallic nanostructures. <i>AAPP | Atti della Accademia Peloritana dei Pericolanti</i>. 2011;89(1). doi:<a href=\"https://doi.org/10.1478/C1V89S1P041\">10.1478/C1V89S1P041</a>","mla":"Grynko, Yevgen, et al. “Application of the Discontinous Galerkin Time Domain Method to the Optics of Metallic Nanostructures.” <i>AAPP | Atti Della Accademia Peloritana Dei Pericolanti</i>, vol. 89, no. 1, C1V89S1P041, 2011, doi:<a href=\"https://doi.org/10.1478/C1V89S1P041\">10.1478/C1V89S1P041</a>."},"oa":"1","publication_status":"published","date_updated":"2025-12-16T11:21:11Z","article_type":"original","intvolume":"        89","title":"Application of the discontinous Galerkin time domain method to the optics of metallic nanostructures","year":"2011","author":[{"id":"26059","last_name":"Grynko","first_name":"Yevgen","full_name":"Grynko, Yevgen"},{"id":"158","first_name":"Jens","orcid":"0000-0001-7059-9862","last_name":"Förstner","full_name":"Förstner, Jens"},{"id":"344","last_name":"Meier","first_name":"Torsten","orcid":"0000-0001-8864-2072","full_name":"Meier, Torsten"}],"publication_identifier":{"issn":["1825-1242"]},"doi":"10.1478/C1V89S1P041","article_number":"C1V89S1P041","language":[{"iso":"eng"}],"abstract":[{"text":"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.","lang":"eng"}],"issue":"1","publication":"AAPP | Atti della Accademia Peloritana dei Pericolanti","keyword":["tet_topic_numerics","tet_topic_shg","tet_topic_meta"],"type":"journal_article","department":[{"_id":"15"},{"_id":"293"},{"_id":"170"},{"_id":"230"},{"_id":"35"},{"_id":"34"},{"_id":"61"}],"file":[{"content_type":"application/pdf","file_id":"4045","file_size":258268,"access_level":"open_access","file_name":"2011 Grynko,Förstner,Meier_Application of the discontinous Galerkin time domain method to the optics of metallic nanostructures.pdf","date_updated":"2018-09-04T19:11:52Z","relation":"main_file","date_created":"2018-08-22T10:17:27Z","creator":"hclaudia"}],"date_created":"2018-08-22T10:18:44Z"},{"ddc":["530"],"user_id":"55706","_id":"4241","publisher":"IEEE","has_accepted_license":"1","conference":{"end_date":"2006-05-26","location":"Long Beach, CA (USA)","start_date":"2006-05-21","name":"Quantum Electronics and Laser Science Conference"},"status":"public","citation":{"bibtex":"@inproceedings{Klein_Enkrich_Wegener_Förstner_Moloney_Hoyer_Stroucken_Meier_Koch_Linden_2006, title={Optical experiments on second-harmonic generation from metamaterials consisting of split-ring resonators}, DOI={<a href=\"https://doi.org/10.1109/cleo.2006.4629006\">10.1109/cleo.2006.4629006</a>}, number={QThE3}, booktitle={2006 Conference on Lasers and Electro-Optics and 2006 Quantum Electronics and Laser Science Conference}, publisher={IEEE}, author={Klein, M. W. and Enkrich, C. and Wegener, M. and Förstner, Jens and Moloney, J. V. and Hoyer, W. and Stroucken, T. and Meier, Torsten and Koch, S. W. and Linden, S.}, year={2006} }","ama":"Klein MW, Enkrich C, Wegener M, et al. Optical experiments on second-harmonic generation from metamaterials consisting of split-ring resonators. In: <i>2006 Conference on Lasers and Electro-Optics and 2006 Quantum Electronics and Laser Science Conference</i>. IEEE; 2006. doi:<a href=\"https://doi.org/10.1109/cleo.2006.4629006\">10.1109/cleo.2006.4629006</a>","short":"M.W. Klein, C. Enkrich, M. Wegener, J. Förstner, J.V. Moloney, W. Hoyer, T. Stroucken, T. Meier, S.W. Koch, S. Linden, in: 2006 Conference on Lasers and Electro-Optics and 2006 Quantum Electronics and Laser Science Conference, IEEE, 2006.","chicago":"Klein, M. W., C. Enkrich, M. Wegener, Jens Förstner, J. V. Moloney, W. Hoyer, T. Stroucken, Torsten Meier, S. W. Koch, and S. Linden. “Optical Experiments on Second-Harmonic Generation from Metamaterials Consisting of Split-Ring Resonators.” In <i>2006 Conference on Lasers and Electro-Optics and 2006 Quantum Electronics and Laser Science Conference</i>. IEEE, 2006. <a href=\"https://doi.org/10.1109/cleo.2006.4629006\">https://doi.org/10.1109/cleo.2006.4629006</a>.","ieee":"M. W. Klein <i>et al.</i>, “Optical experiments on second-harmonic generation from metamaterials consisting of split-ring resonators,” in <i>2006 Conference on Lasers and Electro-Optics and 2006 Quantum Electronics and Laser Science Conference</i>, Long Beach, CA (USA), 2006.","apa":"Klein, M. W., Enkrich, C., Wegener, M., Förstner, J., Moloney, J. V., Hoyer, W., … Linden, S. (2006). Optical experiments on second-harmonic generation from metamaterials consisting of split-ring resonators. In <i>2006 Conference on Lasers and Electro-Optics and 2006 Quantum Electronics and Laser Science Conference</i>. Long Beach, CA (USA): IEEE. <a href=\"https://doi.org/10.1109/cleo.2006.4629006\">https://doi.org/10.1109/cleo.2006.4629006</a>","mla":"Klein, M. W., et al. “Optical Experiments on Second-Harmonic Generation from Metamaterials Consisting of Split-Ring Resonators.” <i>2006 Conference on Lasers and Electro-Optics and 2006 Quantum Electronics and Laser Science Conference</i>, QThE3, IEEE, 2006, doi:<a href=\"https://doi.org/10.1109/cleo.2006.4629006\">10.1109/cleo.2006.4629006</a>."},"file_date_updated":"2018-08-29T08:28:36Z","doi":"10.1109/cleo.2006.4629006","language":[{"iso":"eng"}],"article_number":"QThE3","date_updated":"2022-01-06T07:00:40Z","publication_status":"published","author":[{"last_name":"Klein","first_name":"M. W.","full_name":"Klein, M. W."},{"full_name":"Enkrich, C.","first_name":"C.","last_name":"Enkrich"},{"last_name":"Wegener","first_name":"M.","full_name":"Wegener, M."},{"full_name":"Förstner, Jens","first_name":"Jens","last_name":"Förstner","orcid":"0000-0001-7059-9862","id":"158"},{"full_name":"Moloney, J. V.","last_name":"Moloney","first_name":"J. V."},{"full_name":"Hoyer, W.","last_name":"Hoyer","first_name":"W."},{"last_name":"Stroucken","first_name":"T.","full_name":"Stroucken, T."},{"orcid":"0000-0001-8864-2072","first_name":"Torsten","last_name":"Meier","full_name":"Meier, Torsten","id":"344"},{"first_name":"S. W.","last_name":"Koch","full_name":"Koch, S. W."},{"first_name":"S.","last_name":"Linden","full_name":"Linden, S."}],"publication_identifier":{"eissn":["2160-9004 "],"isbn":["9781557528131"]},"year":"2006","title":"Optical experiments on second-harmonic generation from metamaterials consisting of split-ring resonators","keyword":["tet_topic_meta"],"type":"conference","date_created":"2018-08-29T08:24:41Z","file":[{"file_name":"2006 Klein et all_Optical Experiments on Second-Harmonic Generation from Metamaterials Consisting of Split-Ring Resonators.pdf","access_level":"closed","file_size":585441,"relation":"main_file","date_updated":"2018-08-29T08:28:36Z","file_id":"4242","content_type":"application/pdf","success":1,"creator":"hclaudia","date_created":"2018-08-29T08:28:36Z"}],"abstract":[{"text":"We discuss second-harmonic generation experiments on planar arrays of magnetic split-ring resonators, using 150 fs pulses at 1.5 mum wavelength. Lithographic tuning reveals by far the largest signals when exciting the magnetic-dipole resonance.","lang":"eng"}],"extern":"1","publication":"2006 Conference on Lasers and Electro-Optics and 2006 Quantum Electronics and Laser Science Conference"},{"date_created":"2018-08-28T10:36:37Z","type":"conference","keyword":["tet_topic_meta"],"department":[{"_id":"15"},{"_id":"293"},{"_id":"170"},{"_id":"230"},{"_id":"35"},{"_id":"34"},{"_id":"61"}],"publication":"Photonic Metamaterials: From Random to Periodic","abstract":[{"lang":"eng","text":"We study optical second-harmonic generation from planar arrays of magnetic split-ring resonators at 1.5 microns resonance wavelength. We obtain by far the largest signals when exciting the magnetic-dipole resonance. "}],"extern":"1","article_number":"TuC5","language":[{"iso":"eng"}],"doi":"10.1364/meta.2006.tuc5","year":"2006","title":"Optical Experiments on Second-Harmonic Generation with Metamaterials Composed of Split-Ring Resonators","publication_identifier":{"isbn":["155752808X"]},"author":[{"first_name":"Matthias W.","last_name":"Klein","full_name":"Klein, Matthias W."},{"full_name":"Enkrich, Christian","first_name":"Christian","last_name":"Enkrich"},{"first_name":"Martin","last_name":"Wegener","full_name":"Wegener, Martin"},{"full_name":"Förstner, Jens","first_name":"Jens","last_name":"Förstner","orcid":"0000-0001-7059-9862","id":"158"},{"last_name":"Moloney","first_name":"Jerome V.","full_name":"Moloney, Jerome V."},{"full_name":"Hoyer, Walter","last_name":"Hoyer","first_name":"Walter"},{"full_name":"Stroucken, Tineke","last_name":"Stroucken","first_name":"Tineke"},{"first_name":"Torsten","orcid":"0000-0001-8864-2072","last_name":"Meier","full_name":"Meier, Torsten","id":"344"},{"full_name":"Koch, Stephan W.","last_name":"Koch","first_name":"Stephan W."},{"full_name":"Linden, Stefan","last_name":"Linden","first_name":"Stefan"}],"date_updated":"2025-12-16T11:25:31Z","publication_status":"published","citation":{"mla":"Klein, Matthias W., et al. “Optical Experiments on Second-Harmonic Generation with Metamaterials Composed of Split-Ring Resonators.” <i>Photonic Metamaterials: From Random to Periodic</i>, TuC5, OSA, 2006, doi:<a href=\"https://doi.org/10.1364/meta.2006.tuc5\">10.1364/meta.2006.tuc5</a>.","bibtex":"@inproceedings{Klein_Enkrich_Wegener_Förstner_Moloney_Hoyer_Stroucken_Meier_Koch_Linden_2006, title={Optical Experiments on Second-Harmonic Generation with Metamaterials Composed of Split-Ring Resonators}, DOI={<a href=\"https://doi.org/10.1364/meta.2006.tuc5\">10.1364/meta.2006.tuc5</a>}, number={TuC5}, booktitle={Photonic Metamaterials: From Random to Periodic}, publisher={OSA}, author={Klein, Matthias W. and Enkrich, Christian and Wegener, Martin and Förstner, Jens and Moloney, Jerome V. and Hoyer, Walter and Stroucken, Tineke and Meier, Torsten and Koch, Stephan W. and Linden, Stefan}, year={2006} }","ama":"Klein MW, Enkrich C, Wegener M, et al. Optical Experiments on Second-Harmonic Generation with Metamaterials Composed of Split-Ring Resonators. In: <i>Photonic Metamaterials: From Random to Periodic</i>. OSA; 2006. doi:<a href=\"https://doi.org/10.1364/meta.2006.tuc5\">10.1364/meta.2006.tuc5</a>","ieee":"M. W. Klein <i>et al.</i>, “Optical Experiments on Second-Harmonic Generation with Metamaterials Composed of Split-Ring Resonators,” 2006, doi: <a href=\"https://doi.org/10.1364/meta.2006.tuc5\">10.1364/meta.2006.tuc5</a>.","apa":"Klein, M. W., Enkrich, C., Wegener, M., Förstner, J., Moloney, J. V., Hoyer, W., Stroucken, T., Meier, T., Koch, S. W., &#38; Linden, S. (2006). Optical Experiments on Second-Harmonic Generation with Metamaterials Composed of Split-Ring Resonators. <i>Photonic Metamaterials: From Random to Periodic</i>, Article TuC5. <a href=\"https://doi.org/10.1364/meta.2006.tuc5\">https://doi.org/10.1364/meta.2006.tuc5</a>","short":"M.W. Klein, C. Enkrich, M. Wegener, J. Förstner, J.V. Moloney, W. Hoyer, T. Stroucken, T. Meier, S.W. Koch, S. Linden, in: Photonic Metamaterials: From Random to Periodic, OSA, 2006.","chicago":"Klein, Matthias W., Christian Enkrich, Martin Wegener, Jens Förstner, Jerome V. Moloney, Walter Hoyer, Tineke Stroucken, Torsten Meier, Stephan W. Koch, and Stefan Linden. “Optical Experiments on Second-Harmonic Generation with Metamaterials Composed of Split-Ring Resonators.” In <i>Photonic Metamaterials: From Random to Periodic</i>. OSA, 2006. <a href=\"https://doi.org/10.1364/meta.2006.tuc5\">https://doi.org/10.1364/meta.2006.tuc5</a>."},"_id":"4191","publisher":"OSA","user_id":"16199","status":"public"}]