[{"abstract":[{"lang":"eng","text":"AbstractMetasurface holography offers a powerful approach for manipulating wavefronts at the nano and micro scale. Extensive research has been conducted to enhance the multiplexing capacity for diverse wavefronts. However, the independence of multiplexed channels is fundamentally restricted in techniques using single‐layer metasurfaces, resulting in unavoidable crosstalk and the need for post‐filtering of the output wavefronts. Here, a universal wavefront multiplexing concept is presented based on non‐injective transformation. By employing joint optimization on two metasurfaces, different channels can be independently designed without any constraints on the output wavefronts. To validate this approach, ultra‐compact orbital angular momentum (OAM) sorters are designed. In these experiments, the output beams from different channels can be independently mapped to 2D positions with high fineness. In another application of wavefront‐multiplexed holography, 10‐channel multiplexing is experimentally achieved with minimal crosstalk and without the need for post‐processing. These results demonstrate the independence between channels enabled by the non‐injective transformation in the method. The precise wavefront control and high multiplexing capacity underscore its potential for scalable wavefront manipulation devices."}],"publication":"Advanced Materials","language":[{"iso":"eng"}],"year":"2026","quality_controlled":"1","title":"Independent Wavefront Multiplexing with Metasurfaces via Non‐Injective Transformation","publisher":"Wiley","date_created":"2025-10-06T05:42:21Z","status":"public","type":"journal_article","article_type":"original","article_number":"e11823","_id":"61523","project":[{"_id":"53","name":"TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen"},{"_id":"54","name":"TRR 142 - Project Area A"},{"name":"TRR 142 - Project Area B","_id":"55"},{"name":"TRR 142; TP A08: Nichtlineare Kopplung von Zwischenschicht-Exzitonen in van der Waals-Heterostrukturen an plasmonische und dielektrische Nanokavitäten","_id":"65"},{"name":"TRR 142; TP B09: Effiziente Erzeugung mit maßgeschneiderter optischer Phaselage der zweiten Harmonischen mittels Quasi-gebundener Zustände in GaAs Metaoberflächen","_id":"170"}],"department":[{"_id":"15"},{"_id":"230"},{"_id":"289"},{"_id":"623"}],"user_id":"30525","intvolume":" 38","citation":{"chicago":"Jin, Xiao, and Thomas Zentgraf. “Independent Wavefront Multiplexing with Metasurfaces via Non‐Injective Transformation.” Advanced Materials 38 (2026). https://doi.org/10.1002/adma.202511823.","ieee":"X. Jin and T. Zentgraf, “Independent Wavefront Multiplexing with Metasurfaces via Non‐Injective Transformation,” Advanced Materials, vol. 38, Art. no. e11823, 2026, doi: 10.1002/adma.202511823.","ama":"Jin X, Zentgraf T. Independent Wavefront Multiplexing with Metasurfaces via Non‐Injective Transformation. Advanced Materials. 2026;38. doi:10.1002/adma.202511823","short":"X. Jin, T. Zentgraf, Advanced Materials 38 (2026).","bibtex":"@article{Jin_Zentgraf_2026, title={Independent Wavefront Multiplexing with Metasurfaces via Non‐Injective Transformation}, volume={38}, DOI={10.1002/adma.202511823}, number={e11823}, journal={Advanced Materials}, publisher={Wiley}, author={Jin, Xiao and Zentgraf, Thomas}, year={2026} }","mla":"Jin, Xiao, and Thomas Zentgraf. “Independent Wavefront Multiplexing with Metasurfaces via Non‐Injective Transformation.” Advanced Materials, vol. 38, e11823, Wiley, 2026, doi:10.1002/adma.202511823.","apa":"Jin, X., & Zentgraf, T. (2026). Independent Wavefront Multiplexing with Metasurfaces via Non‐Injective Transformation. Advanced Materials, 38, Article e11823. https://doi.org/10.1002/adma.202511823"},"publication_identifier":{"issn":["0935-9648","1521-4095"]},"publication_status":"published","doi":"10.1002/adma.202511823","main_file_link":[{"open_access":"1","url":"https://advanced.onlinelibrary.wiley.com/doi/10.1002/adma.202511823"}],"oa":"1","date_updated":"2026-03-10T08:32:37Z","volume":38,"author":[{"first_name":"Xiao","full_name":"Jin, Xiao","last_name":"Jin"},{"orcid":"0000-0002-8662-1101","last_name":"Zentgraf","id":"30525","full_name":"Zentgraf, Thomas","first_name":"Thomas"}]},{"type":"journal_article","status":"public","_id":"58606","project":[{"name":"TRR 142: TRR 142 - Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen","_id":"53"},{"name":"TRR 142 - A: TRR 142 - Project Area A","_id":"54"},{"name":"TRR 142 - B: TRR 142 - Project Area B","_id":"55"},{"_id":"170","name":"TRR 142 - B09: TRR 142 - Effiziente Erzeugung mit maßgeschneiderter optischer Phaselage der zweiten Harmonischen mittels Quasi-gebundener Zustände in GaAs Metaoberflächen (B09*)"},{"name":"TRR 142 - A08: TRR 142 - Nichtlineare Kopplung von Zwischenschicht-Exzitonen in van der Waals-Heterostrukturen an plasmonische und dielektrische Nanokavitäten (A08)","_id":"65"}],"department":[{"_id":"15"},{"_id":"230"},{"_id":"289"},{"_id":"623"}],"user_id":"30525","article_type":"original","publication_identifier":{"issn":["1530-6984","1530-6992"]},"publication_status":"published","citation":{"ieee":"A. Mathew et al., “Nonreciprocal Metasurfaces with Epsilon-Near-Zero Materials,” Nano Letters, 2025, doi: 10.1021/acs.nanolett.4c06188.","chicago":"Mathew, Albert, Rebecca Aschwanden, Aditya Tripathi, Piyush Jangid, Basudeb Sain, Thomas Zentgraf, and Sergey Kruk. “Nonreciprocal Metasurfaces with Epsilon-Near-Zero Materials.” Nano Letters, 2025. https://doi.org/10.1021/acs.nanolett.4c06188.","short":"A. Mathew, R. Aschwanden, A. Tripathi, P. Jangid, B. Sain, T. Zentgraf, S. Kruk, Nano Letters (2025).","bibtex":"@article{Mathew_Aschwanden_Tripathi_Jangid_Sain_Zentgraf_Kruk_2025, title={Nonreciprocal Metasurfaces with Epsilon-Near-Zero Materials}, DOI={10.1021/acs.nanolett.4c06188}, journal={Nano Letters}, publisher={American Chemical Society (ACS)}, author={Mathew, Albert and Aschwanden, Rebecca and Tripathi, Aditya and Jangid, Piyush and Sain, Basudeb and Zentgraf, Thomas and Kruk, Sergey}, year={2025} }","mla":"Mathew, Albert, et al. “Nonreciprocal Metasurfaces with Epsilon-Near-Zero Materials.” Nano Letters, American Chemical Society (ACS), 2025, doi:10.1021/acs.nanolett.4c06188.","apa":"Mathew, A., Aschwanden, R., Tripathi, A., Jangid, P., Sain, B., Zentgraf, T., & Kruk, S. (2025). Nonreciprocal Metasurfaces with Epsilon-Near-Zero Materials. Nano Letters. https://doi.org/10.1021/acs.nanolett.4c06188","ama":"Mathew A, Aschwanden R, Tripathi A, et al. Nonreciprocal Metasurfaces with Epsilon-Near-Zero Materials. Nano Letters. Published online 2025. doi:10.1021/acs.nanolett.4c06188"},"date_updated":"2026-04-20T05:06:06Z","author":[{"first_name":"Albert","last_name":"Mathew","full_name":"Mathew, Albert"},{"first_name":"Rebecca","full_name":"Aschwanden, Rebecca","last_name":"Aschwanden"},{"full_name":"Tripathi, Aditya","last_name":"Tripathi","first_name":"Aditya"},{"last_name":"Jangid","full_name":"Jangid, Piyush","first_name":"Piyush"},{"first_name":"Basudeb","last_name":"Sain","full_name":"Sain, Basudeb"},{"first_name":"Thomas","id":"30525","full_name":"Zentgraf, Thomas","orcid":"0000-0002-8662-1101","last_name":"Zentgraf"},{"first_name":"Sergey","last_name":"Kruk","full_name":"Kruk, Sergey"}],"doi":"10.1021/acs.nanolett.4c06188","main_file_link":[{"url":"https://pubs.acs.org/doi/full/10.1021/acs.nanolett.4c06188"}],"publication":"Nano Letters","external_id":{"arxiv":["2501.11920"]},"keyword":["metasurfaces","nanophotonics","nonreciprocity","optical isolators","silicon photonics"],"language":[{"iso":"eng"}],"quality_controlled":"1","year":"2025","publisher":"American Chemical Society (ACS)","date_created":"2025-02-12T12:54:41Z","title":"Nonreciprocal Metasurfaces with Epsilon-Near-Zero Materials"},{"author":[{"first_name":"Tobias","full_name":"Schneider, Tobias","last_name":"Schneider"},{"first_name":"Wenlong","full_name":"Gao, Wenlong","id":"78853","last_name":"Gao"},{"first_name":"Thomas","id":"30525","full_name":"Zentgraf, Thomas","orcid":"0000-0002-8662-1101","last_name":"Zentgraf"},{"id":"27271","full_name":"Schumacher, Stefan","last_name":"Schumacher","orcid":"0000-0003-4042-4951","first_name":"Stefan"},{"last_name":"Ma","full_name":"Ma, Xuekai","id":"59416","first_name":"Xuekai"}],"date_created":"2025-09-12T11:19:22Z","volume":13,"publisher":"Walter de Gruyter GmbH","date_updated":"2025-09-12T11:22:41Z","doi":"10.1515/nanoph-2023-0556","title":"Topological edge and corner states in coupled wave lattices in nonlinear polariton condensates","issue":"4","publication_status":"published","publication_identifier":{"issn":["2192-8614"]},"citation":{"ieee":"T. Schneider, W. Gao, T. Zentgraf, S. Schumacher, and X. Ma, “Topological edge and corner states in coupled wave lattices in nonlinear polariton condensates,” Nanophotonics, vol. 13, no. 4, pp. 509–518, 2024, doi: 10.1515/nanoph-2023-0556.","chicago":"Schneider, Tobias, Wenlong Gao, Thomas Zentgraf, Stefan Schumacher, and Xuekai Ma. “Topological Edge and Corner States in Coupled Wave Lattices in Nonlinear Polariton Condensates.” Nanophotonics 13, no. 4 (2024): 509–18. https://doi.org/10.1515/nanoph-2023-0556.","ama":"Schneider T, Gao W, Zentgraf T, Schumacher S, Ma X. Topological edge and corner states in coupled wave lattices in nonlinear polariton condensates. Nanophotonics. 2024;13(4):509-518. doi:10.1515/nanoph-2023-0556","short":"T. Schneider, W. Gao, T. Zentgraf, S. Schumacher, X. Ma, Nanophotonics 13 (2024) 509–518.","bibtex":"@article{Schneider_Gao_Zentgraf_Schumacher_Ma_2024, title={Topological edge and corner states in coupled wave lattices in nonlinear polariton condensates}, volume={13}, DOI={10.1515/nanoph-2023-0556}, number={4}, journal={Nanophotonics}, publisher={Walter de Gruyter GmbH}, author={Schneider, Tobias and Gao, Wenlong and Zentgraf, Thomas and Schumacher, Stefan and Ma, Xuekai}, year={2024}, pages={509–518} }","mla":"Schneider, Tobias, et al. “Topological Edge and Corner States in Coupled Wave Lattices in Nonlinear Polariton Condensates.” Nanophotonics, vol. 13, no. 4, Walter de Gruyter GmbH, 2024, pp. 509–18, doi:10.1515/nanoph-2023-0556.","apa":"Schneider, T., Gao, W., Zentgraf, T., Schumacher, S., & Ma, X. (2024). Topological edge and corner states in coupled wave lattices in nonlinear polariton condensates. Nanophotonics, 13(4), 509–518. https://doi.org/10.1515/nanoph-2023-0556"},"intvolume":" 13","page":"509-518","year":"2024","user_id":"16199","department":[{"_id":"15"},{"_id":"170"},{"_id":"297"},{"_id":"705"},{"_id":"35"},{"_id":"230"},{"_id":"429"},{"_id":"27"}],"project":[{"name":"Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"},{"_id":"53","name":"TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen"},{"name":"TRR 142 - Project Area A","_id":"54"},{"_id":"55","name":"TRR 142 - Project Area B"},{"_id":"61","name":"TRR 142; TP A04: Nichtlineare Quantenprozesstomographie und Photonik mit Polaritonen in Mikrokavitäten"},{"_id":"170","name":"TRR 142; TP B09: Effiziente Erzeugung mit maßgeschneiderter optischer Phaselage der zweiten Harmonischen mittels Quasi-gebundener Zustände in GaAs Metaoberflächen"}],"_id":"61255","language":[{"iso":"eng"}],"type":"journal_article","publication":"Nanophotonics","status":"public","abstract":[{"text":"Abstract\r\n Topological states have been widely investigated in different types of systems and lattices. In the present work, we report on topological edge states in double-wave (DW) chains, which can be described by a generalized Aubry-André-Harper (AAH) model. For the specific system of a driven-dissipative exciton polariton system we show that in such potential chains, different types of edge states can form. For resonant optical excitation, we further find that the optical nonlinearity leads to a multistability of different edge states. This includes topologically protected edge states evolved directly from individual linear eigenstates as well as additional edge states that originate from nonlinearity-induced localization of bulk states. Extending the system into two dimensions (2D) by stacking horizontal DW chains in the vertical direction, we also create 2D multi-wave lattices. In such 2D lattices multiple Su–Schrieffer–Heeger (SSH) chains appear along the vertical direction. The combination of DW chains in the horizonal and SSH chains in the vertical direction then results in the formation of higher-order topological insulator corner states. Multistable corner states emerge in the nonlinear regime.","lang":"eng"}]},{"main_file_link":[{"open_access":"1","url":"https://pubs.acs.org/doi/full/10.1021/acsphotonics.3c01163"}],"doi":"10.1021/acsphotonics.3c01163","author":[{"first_name":"Bingyi","last_name":"Liu","full_name":"Liu, Bingyi"},{"last_name":"Geromel","full_name":"Geromel, René","first_name":"René"},{"first_name":"Zhaoxian","full_name":"Su, Zhaoxian","last_name":"Su"},{"full_name":"Guo, Kai","last_name":"Guo","first_name":"Kai"},{"first_name":"Yongtian","full_name":"Wang, Yongtian","last_name":"Wang"},{"first_name":"Zhongyi","last_name":"Guo","full_name":"Guo, Zhongyi"},{"last_name":"Huang","full_name":"Huang, Lingling","first_name":"Lingling"},{"first_name":"Thomas","orcid":"0000-0002-8662-1101","last_name":"Zentgraf","id":"30525","full_name":"Zentgraf, Thomas"}],"volume":10,"oa":"1","date_updated":"2024-04-16T06:47:40Z","citation":{"chicago":"Liu, Bingyi, René Geromel, Zhaoxian Su, Kai Guo, Yongtian Wang, Zhongyi Guo, Lingling Huang, and Thomas Zentgraf. “Nonlinear Dielectric Geometric-Phase Metasurface with Simultaneous Structure and Lattice Symmetry Design.” ACS Photonics 10, no. 12 (2023): 4357–66. https://doi.org/10.1021/acsphotonics.3c01163.","ieee":"B. Liu et al., “Nonlinear Dielectric Geometric-Phase Metasurface with Simultaneous Structure and Lattice Symmetry Design,” ACS Photonics, vol. 10, no. 12, pp. 4357–4366, 2023, doi: 10.1021/acsphotonics.3c01163.","ama":"Liu B, Geromel R, Su Z, et al. Nonlinear Dielectric Geometric-Phase Metasurface with Simultaneous Structure and Lattice Symmetry Design. ACS Photonics. 2023;10(12):4357-4366. doi:10.1021/acsphotonics.3c01163","apa":"Liu, B., Geromel, R., Su, Z., Guo, K., Wang, Y., Guo, Z., Huang, L., & Zentgraf, T. (2023). Nonlinear Dielectric Geometric-Phase Metasurface with Simultaneous Structure and Lattice Symmetry Design. ACS Photonics, 10(12), 4357–4366. https://doi.org/10.1021/acsphotonics.3c01163","short":"B. Liu, R. Geromel, Z. Su, K. Guo, Y. Wang, Z. Guo, L. Huang, T. Zentgraf, ACS Photonics 10 (2023) 4357–4366.","bibtex":"@article{Liu_Geromel_Su_Guo_Wang_Guo_Huang_Zentgraf_2023, title={Nonlinear Dielectric Geometric-Phase Metasurface with Simultaneous Structure and Lattice Symmetry Design}, volume={10}, DOI={10.1021/acsphotonics.3c01163}, number={12}, journal={ACS Photonics}, publisher={American Chemical Society (ACS)}, author={Liu, Bingyi and Geromel, René and Su, Zhaoxian and Guo, Kai and Wang, Yongtian and Guo, Zhongyi and Huang, Lingling and Zentgraf, Thomas}, year={2023}, pages={4357–4366} }","mla":"Liu, Bingyi, et al. “Nonlinear Dielectric Geometric-Phase Metasurface with Simultaneous Structure and Lattice Symmetry Design.” ACS Photonics, vol. 10, no. 12, American Chemical Society (ACS), 2023, pp. 4357–66, doi:10.1021/acsphotonics.3c01163."},"intvolume":" 10","page":"4357-4366","publication_status":"published","publication_identifier":{"issn":["2330-4022","2330-4022"]},"funded_apc":"1","article_type":"original","user_id":"30525","department":[{"_id":"15"},{"_id":"230"},{"_id":"289"},{"_id":"623"}],"project":[{"name":"TRR 142 - B09: TRR 142 - Effiziente Erzeugung mit maßgeschneiderter optischer Phaselage der zweiten Harmonischen mittels Quasi-gebundener Zustände in GaAs Metaoberflächen (B09*)","_id":"170","grant_number":"231447078"},{"name":"TRR 142 - B: TRR 142 - Project Area B","_id":"55"},{"grant_number":"231447078","_id":"53","name":"TRR 142: TRR 142 - Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen"}],"_id":"49607","status":"public","type":"journal_article","title":"Nonlinear Dielectric Geometric-Phase Metasurface with Simultaneous Structure and Lattice Symmetry Design","date_created":"2023-12-13T14:11:41Z","publisher":"American Chemical Society (ACS)","year":"2023","issue":"12","quality_controlled":"1","language":[{"iso":"eng"}],"keyword":["Electrical and Electronic Engineering","Atomic and Molecular Physics","and Optics","Biotechnology","Electronic","Optical and Magnetic Materials"],"abstract":[{"text":"In this work, we utilize thin dielectric meta-atoms placed on a silver substrate to efficiently enhance and manipulate the third-harmonic generation. We theoretically and experimentally reveal that when the structural symmetry of the meta-atom is incompatible with the lattice symmetry of an array, some generalized nonlinear geometric phases appear, which offers new possibilities for harmonic generation control beyond the accessible symmetries governed by the selection rule. The underlying mechanism is attributed to the modified rotation of the effective principal axis of a dense meta-atom array, where the strong coupling among the units gives rise to a generalized linear geometric phase modulation of the pump light. Therefore, nonlinear geometric phases carried by third-harmonic emissions are the natural result of the wave-mixing process among the modes excited at the fundamental frequency. This mechanism further points out a new strategy to predict the nonlinear geometric phases delivered by the nanostructures according to their linear responses. Our design is simple and efficient and offers alternatives for the nonlinear meta-devices that are capable of flexible photon generation and manipulation.","lang":"eng"}],"publication":"ACS Photonics"},{"has_accepted_license":"1","publication_identifier":{"issn":["1530-6984","1530-6992"]},"publication_status":"published","page":"3196 - 3201","intvolume":" 23","citation":{"apa":"Geromel, R., Georgi, P., Protte, M., Lei, S., Bartley, T., Huang, L., & Zentgraf, T. (2023). Compact Metasurface-Based Optical Pulse-Shaping Device. Nano Letters, 23(8), 3196–3201. https://doi.org/10.1021/acs.nanolett.2c04980","short":"R. Geromel, P. Georgi, M. Protte, S. Lei, T. Bartley, L. Huang, T. Zentgraf, Nano Letters 23 (2023) 3196–3201.","mla":"Geromel, René, et al. “Compact Metasurface-Based Optical Pulse-Shaping Device.” Nano Letters, vol. 23, no. 8, American Chemical Society (ACS), 2023, pp. 3196–201, doi:10.1021/acs.nanolett.2c04980.","bibtex":"@article{Geromel_Georgi_Protte_Lei_Bartley_Huang_Zentgraf_2023, title={Compact Metasurface-Based Optical Pulse-Shaping Device}, volume={23}, DOI={10.1021/acs.nanolett.2c04980}, number={8}, journal={Nano Letters}, publisher={American Chemical Society (ACS)}, author={Geromel, René and Georgi, Philip and Protte, Maximilian and Lei, Shiwei and Bartley, Tim and Huang, Lingling and Zentgraf, Thomas}, year={2023}, pages={3196–3201} }","chicago":"Geromel, René, Philip Georgi, Maximilian Protte, Shiwei Lei, Tim Bartley, Lingling Huang, and Thomas Zentgraf. “Compact Metasurface-Based Optical Pulse-Shaping Device.” Nano Letters 23, no. 8 (2023): 3196–3201. https://doi.org/10.1021/acs.nanolett.2c04980.","ieee":"R. Geromel et al., “Compact Metasurface-Based Optical Pulse-Shaping Device,” Nano Letters, vol. 23, no. 8, pp. 3196–3201, 2023, doi: 10.1021/acs.nanolett.2c04980.","ama":"Geromel R, Georgi P, Protte M, et al. Compact Metasurface-Based Optical Pulse-Shaping Device. Nano Letters. 2023;23(8):3196-3201. doi:10.1021/acs.nanolett.2c04980"},"volume":23,"author":[{"first_name":"René","last_name":"Geromel","full_name":"Geromel, René"},{"last_name":"Georgi","full_name":"Georgi, Philip","first_name":"Philip"},{"first_name":"Maximilian","last_name":"Protte","full_name":"Protte, Maximilian","id":"46170"},{"full_name":"Lei, Shiwei","last_name":"Lei","first_name":"Shiwei"},{"first_name":"Tim","last_name":"Bartley","full_name":"Bartley, Tim","id":"49683"},{"last_name":"Huang","full_name":"Huang, Lingling","first_name":"Lingling"},{"first_name":"Thomas","last_name":"Zentgraf","orcid":"0000-0002-8662-1101","id":"30525","full_name":"Zentgraf, Thomas"}],"date_updated":"2023-05-12T11:17:51Z","oa":"1","doi":"10.1021/acs.nanolett.2c04980","main_file_link":[{"url":"https://pubs.acs.org/doi/full/10.1021/acs.nanolett.2c04980","open_access":"1"}],"type":"journal_article","status":"public","department":[{"_id":"15"},{"_id":"230"},{"_id":"289"},{"_id":"623"}],"user_id":"30525","_id":"44044","project":[{"name":"TRR 142: TRR 142","_id":"53"},{"name":"TRR 142 - B: TRR 142 - Project Area B","_id":"55"},{"name":"TRR 142 - B09: TRR 142 - Subproject B09","_id":"170"},{"_id":"171","name":"TRR 142 - C07: TRR 142 - Subproject C07"},{"_id":"56","name":"TRR 142 - C: TRR 142 - Project Area C"}],"funded_apc":"1","file_date_updated":"2023-04-18T05:50:19Z","article_type":"original","issue":"8","quality_controlled":"1","year":"2023","date_created":"2023-04-18T05:47:22Z","publisher":"American Chemical Society (ACS)","title":"Compact Metasurface-Based Optical Pulse-Shaping Device","publication":"Nano Letters","file":[{"success":1,"relation":"main_file","content_type":"application/pdf","file_size":1315966,"file_id":"44045","file_name":"acs.nanolett.2c04980.pdf","access_level":"closed","date_updated":"2023-04-18T05:50:19Z","creator":"zentgraf","date_created":"2023-04-18T05:50:19Z"}],"abstract":[{"lang":"eng","text":"Dispersion is present in every optical setup and is often an undesired effect, especially in nonlinear-optical experiments where ultrashort laser pulses are needed. Typically, bulky pulse compressors consisting of gratings or prisms are used\r\nto address this issue by precompensating the dispersion of the optical components. However, these devices are only able to compensate for a part of the dispersion (second-order dispersion). Here, we present a compact pulse-shaping device that uses plasmonic metasurfaces to apply an arbitrarily designed spectral phase delay allowing for a full dispersion control. Furthermore, with specific phase encodings, this device can be used to temporally reshape the incident laser pulses into more complex pulse forms such as a double pulse. We verify the performance of our device by using an SHG-FROG measurement setup together with a retrieval algorithm to extract the dispersion that our device applies to an incident laser pulse."}],"language":[{"iso":"eng"}],"keyword":["Mechanical Engineering","Condensed Matter Physics","General Materials Science","General Chemistry","Bioengineering"],"ddc":["530"]},{"title":"Dispersion control with integrated plasmonic metasurfaces","conference":{"end_date":"2023-05-12","location":"San Jose, USA","name":"CLEO: Fundamental Science 2023","start_date":"2023-05-07"},"doi":"10.1364/cleo_fs.2023.fth4d.3","publisher":"Optica Publishing Group","date_updated":"2023-08-14T08:22:31Z","date_created":"2023-08-14T08:19:22Z","author":[{"last_name":"Geromel","full_name":"Geromel, René","first_name":"René"},{"first_name":"Philip","full_name":"Georgi, Philip","last_name":"Georgi"},{"first_name":"Maximilian","last_name":"Protte","full_name":"Protte, Maximilian","id":"46170"},{"last_name":"Bartley","full_name":"Bartley, Tim","id":"49683","first_name":"Tim"},{"full_name":"Huang, Lingling","last_name":"Huang","first_name":"Lingling"},{"orcid":"0000-0002-8662-1101","last_name":"Zentgraf","id":"30525","full_name":"Zentgraf, Thomas","first_name":"Thomas"}],"year":"2023","citation":{"apa":"Geromel, R., Georgi, P., Protte, M., Bartley, T., Huang, L., & Zentgraf, T. (2023). Dispersion control with integrated plasmonic metasurfaces. CLEO: Fundamental Science 2023, Article FTh4D.3. CLEO: Fundamental Science 2023, San Jose, USA. https://doi.org/10.1364/cleo_fs.2023.fth4d.3","mla":"Geromel, René, et al. “Dispersion Control with Integrated Plasmonic Metasurfaces.” CLEO: Fundamental Science 2023, FTh4D.3, Optica Publishing Group, 2023, doi:10.1364/cleo_fs.2023.fth4d.3.","short":"R. Geromel, P. Georgi, M. Protte, T. Bartley, L. Huang, T. Zentgraf, in: CLEO: Fundamental Science 2023, Optica Publishing Group, 2023.","bibtex":"@inproceedings{Geromel_Georgi_Protte_Bartley_Huang_Zentgraf_2023, series={Technical Digest Series}, title={Dispersion control with integrated plasmonic metasurfaces}, DOI={10.1364/cleo_fs.2023.fth4d.3}, number={FTh4D.3}, booktitle={CLEO: Fundamental Science 2023}, publisher={Optica Publishing Group}, author={Geromel, René and Georgi, Philip and Protte, Maximilian and Bartley, Tim and Huang, Lingling and Zentgraf, Thomas}, year={2023}, collection={Technical Digest Series} }","ieee":"R. Geromel, P. Georgi, M. Protte, T. Bartley, L. Huang, and T. Zentgraf, “Dispersion control with integrated plasmonic metasurfaces,” presented at the CLEO: Fundamental Science 2023, San Jose, USA, 2023, doi: 10.1364/cleo_fs.2023.fth4d.3.","chicago":"Geromel, René, Philip Georgi, Maximilian Protte, Tim Bartley, Lingling Huang, and Thomas Zentgraf. “Dispersion Control with Integrated Plasmonic Metasurfaces.” In CLEO: Fundamental Science 2023. Technical Digest Series. Optica Publishing Group, 2023. https://doi.org/10.1364/cleo_fs.2023.fth4d.3.","ama":"Geromel R, Georgi P, Protte M, Bartley T, Huang L, Zentgraf T. Dispersion control with integrated plasmonic metasurfaces. In: CLEO: Fundamental Science 2023. Technical Digest Series. Optica Publishing Group; 2023. doi:10.1364/cleo_fs.2023.fth4d.3"},"publication_status":"published","article_number":"FTh4D.3","language":[{"iso":"eng"}],"project":[{"grant_number":"231447078","_id":"53","name":"TRR 142: TRR 142 - Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen"},{"_id":"55","name":"TRR 142 - B: TRR 142 - Project Area B"},{"grant_number":"231447078","name":"TRR 142 - B09: TRR 142 - Effiziente Erzeugung mit maßgeschneiderter optischer Phaselage der zweiten Harmonischen mittels Quasi-gebundener Zustände in GaAs Metaoberflächen (B09*)","_id":"170"}],"_id":"46485","series_title":"Technical Digest Series","user_id":"30525","department":[{"_id":"15"},{"_id":"230"},{"_id":"289"},{"_id":"623"}],"abstract":[{"text":"We present a miniaturized pulse shaping device that creates an arbitrary dispersion through the interaction of multiple metasurfaces on less than 2 mm3 volume. For this, a metalens and a grating-metasurface between two silver mirrors are fabricated. The grating contains further phase information to achieve the device's pulse shaping functionality.","lang":"eng"}],"status":"public","type":"conference","publication":"CLEO: Fundamental Science 2023"},{"publication_identifier":{"isbn":["978-0-323-90614-2"]},"publication_status":"published","citation":{"chicago":"Zentgraf, Thomas, Basudeb Sain, and Shuang Zhang. “Symmetry Governed Nonlinear Selection Rules in Nanophotonics .” In Fundamentals and Applications of Nonlinear Nanophotonics, edited by Nicoae C. Panoiu, 1st ed. Nanophotonics Series. Amsterdam: Elsevier, 2023. https://doi.org/10.1016/B978-0-323-90614-2.00011-0.","ieee":"T. Zentgraf, B. Sain, and S. Zhang, “Symmetry governed nonlinear selection rules in nanophotonics ,” in Fundamentals and Applications of Nonlinear Nanophotonics, 1st ed., N. C. Panoiu, Ed. Amsterdam: Elsevier, 2023.","ama":"Zentgraf T, Sain B, Zhang S. Symmetry governed nonlinear selection rules in nanophotonics . In: Panoiu NC, ed. Fundamentals and Applications of Nonlinear Nanophotonics. 1st ed. Nanophotonics Series. Elsevier; 2023. doi:10.1016/B978-0-323-90614-2.00011-0","short":"T. Zentgraf, B. Sain, S. Zhang, in: N.C. Panoiu (Ed.), Fundamentals and Applications of Nonlinear Nanophotonics, 1st ed., Elsevier, Amsterdam, 2023.","mla":"Zentgraf, Thomas, et al. “Symmetry Governed Nonlinear Selection Rules in Nanophotonics .” Fundamentals and Applications of Nonlinear Nanophotonics, edited by Nicoae C. Panoiu, 1st ed., Elsevier, 2023, doi:10.1016/B978-0-323-90614-2.00011-0.","bibtex":"@inbook{Zentgraf_Sain_Zhang_2023, place={Amsterdam}, edition={1}, series={Nanophotonics Series}, title={Symmetry governed nonlinear selection rules in nanophotonics }, DOI={10.1016/B978-0-323-90614-2.00011-0}, booktitle={Fundamentals and Applications of Nonlinear Nanophotonics}, publisher={Elsevier}, author={Zentgraf, Thomas and Sain, Basudeb and Zhang, Shuang}, editor={Panoiu, Nicoae C.}, year={2023}, collection={Nanophotonics Series} }","apa":"Zentgraf, T., Sain, B., & Zhang, S. (2023). Symmetry governed nonlinear selection rules in nanophotonics . In N. C. Panoiu (Ed.), Fundamentals and Applications of Nonlinear Nanophotonics (1st ed.). Elsevier. https://doi.org/10.1016/B978-0-323-90614-2.00011-0"},"place":"Amsterdam","author":[{"first_name":"Thomas","last_name":"Zentgraf","orcid":"0000-0002-8662-1101","id":"30525","full_name":"Zentgraf, Thomas"},{"first_name":"Basudeb","full_name":"Sain, Basudeb","last_name":"Sain"},{"full_name":"Zhang, Shuang","last_name":"Zhang","first_name":"Shuang"}],"date_updated":"2025-05-21T08:44:11Z","doi":"10.1016/B978-0-323-90614-2.00011-0","main_file_link":[{"url":"https://www.sciencedirect.com/science/article/pii/B9780323906142000110"}],"type":"book_chapter","status":"public","editor":[{"first_name":"Nicoae C.","full_name":"Panoiu, Nicoae C.","last_name":"Panoiu"}],"department":[{"_id":"15"},{"_id":"230"},{"_id":"289"},{"_id":"623"}],"series_title":"Nanophotonics Series","user_id":"30525","_id":"47543","project":[{"_id":"55","name":"TRR 142 - B: TRR 142 - Project Area B"},{"name":"TRR 142 - B09: TRR 142 - Effiziente Erzeugung mit maßgeschneiderter optischer Phaselage der zweiten Harmonischen mittels Quasi-gebundener Zustände in GaAs Metaoberflächen (B09*)","_id":"170","grant_number":"231447078"},{"grant_number":"231447078","_id":"53","name":"TRR 142: TRR 142 - Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen"}],"edition":"1","year":"2023","date_created":"2023-10-04T06:22:23Z","publisher":"Elsevier","title":"Symmetry governed nonlinear selection rules in nanophotonics ","publication":"Fundamentals and Applications of Nonlinear Nanophotonics","language":[{"iso":"eng"}]},{"title":"Geometric-phase metalens to be used for tunable optical tweezers in microfluidics","doi":"10.1080/02678292.2023.2171146","date_updated":"2025-05-23T05:52:46Z","publisher":"Taylor & Francis","volume":50,"date_created":"2023-01-27T12:42:16Z","author":[{"full_name":"Geromel, René","last_name":"Geromel","first_name":"René"},{"first_name":"Roman","last_name":"Rennerich","full_name":"Rennerich, Roman"},{"first_name":"Thomas","id":"30525","full_name":"Zentgraf, Thomas","orcid":"0000-0002-8662-1101","last_name":"Zentgraf"},{"last_name":"Kitzerow","id":"254","full_name":"Kitzerow, Heinz-Siegfried","first_name":"Heinz-Siegfried"}],"year":"2023","page":"1193-1203","intvolume":" 50","citation":{"bibtex":"@article{Geromel_Rennerich_Zentgraf_Kitzerow_2023, title={Geometric-phase metalens to be used for tunable optical tweezers in microfluidics}, volume={50}, DOI={10.1080/02678292.2023.2171146}, number={7–10}, journal={Liquid Crystals}, publisher={Taylor & Francis}, author={Geromel, René and Rennerich, Roman and Zentgraf, Thomas and Kitzerow, Heinz-Siegfried}, year={2023}, pages={1193–1203} }","short":"R. Geromel, R. Rennerich, T. Zentgraf, H.-S. Kitzerow, Liquid Crystals 50 (2023) 1193–1203.","mla":"Geromel, René, et al. “Geometric-Phase Metalens to Be Used for Tunable Optical Tweezers in Microfluidics.” Liquid Crystals, vol. 50, no. 7–10, Taylor & Francis, 2023, pp. 1193–203, doi:10.1080/02678292.2023.2171146.","apa":"Geromel, R., Rennerich, R., Zentgraf, T., & Kitzerow, H.-S. (2023). Geometric-phase metalens to be used for tunable optical tweezers in microfluidics. Liquid Crystals, 50(7–10), 1193–1203. https://doi.org/10.1080/02678292.2023.2171146","ieee":"R. Geromel, R. Rennerich, T. Zentgraf, and H.-S. Kitzerow, “Geometric-phase metalens to be used for tunable optical tweezers in microfluidics,” Liquid Crystals, vol. 50, no. 7–10, pp. 1193–1203, 2023, doi: 10.1080/02678292.2023.2171146.","chicago":"Geromel, René, Roman Rennerich, Thomas Zentgraf, and Heinz-Siegfried Kitzerow. “Geometric-Phase Metalens to Be Used for Tunable Optical Tweezers in Microfluidics.” Liquid Crystals 50, no. 7–10 (2023): 1193–1203. https://doi.org/10.1080/02678292.2023.2171146.","ama":"Geromel R, Rennerich R, Zentgraf T, Kitzerow H-S. Geometric-phase metalens to be used for tunable optical tweezers in microfluidics. Liquid Crystals. 2023;50(7-10):1193-1203. doi:10.1080/02678292.2023.2171146"},"quality_controlled":"1","issue":"7-10","language":[{"iso":"eng"}],"_id":"40513","project":[{"grant_number":"231447078","name":"TRR 142: TRR 142","_id":"53"},{"_id":"55","name":"TRR 142 - B: TRR 142 - Project Area B"},{"name":"TRR 142 - B09: TRR 142 - Effiziente Erzeugung mit maßgeschneiderter optischer Phaselage der zweiten Harmonischen mittels Quasi-gebundener Zustände in GaAs Metaoberflächen (B09*)","_id":"170","grant_number":"231447078"}],"department":[{"_id":"313"},{"_id":"230"},{"_id":"638"},{"_id":"15"},{"_id":"623"}],"user_id":"30525","abstract":[{"text":"Geometric-phase dielectric meta-lenses made of silicon with high numerical aperture and short focal lengths are fabricated and characterised. For circularly polarised light, the same meta-lens can act as a converging or diverging lens, depending on the handedness of the circular polarisation. This effect enables application for optical tweezers that trap or release µm-size polymer beads floating in a microfluidic channel on demand. An electrically addressable polarisation converter based on liquid crystals may be used to switch between the two states of polarisation, at which the light transmitted through the meta-lens is focused (trapping) or defocussed (releasing), respectively.","lang":"eng"}],"status":"public","publication":"Liquid Crystals","type":"journal_article"},{"publication":"Conference on Lasers and Electro-Optics","type":"conference","abstract":[{"text":"Efficient third-harmonic generation control is theoretically studied. Dielectric nanostructures placed on the metallic substrate could offer effective geometric-phase modulation on third-harmonic signals by selecting proper structure rotational symmetry.","lang":"eng"}],"status":"public","_id":"46484","project":[{"grant_number":"231447078","name":"TRR 142: TRR 142 - Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen","_id":"53"},{"grant_number":"231447078","_id":"170","name":"TRR 142 - B09: TRR 142 - Effiziente Erzeugung mit maßgeschneiderter optischer Phaselage der zweiten Harmonischen mittels Quasi-gebundener Zustände in GaAs Metaoberflächen (B09*)"},{"name":"TRR 142 - B: TRR 142 - Project Area B","_id":"55"}],"department":[{"_id":"15"},{"_id":"230"},{"_id":"289"},{"_id":"623"}],"series_title":"Technical Digest Series","user_id":"30525","article_number":"FTh1A.7","language":[{"iso":"eng"}],"publication_status":"published","year":"2022","citation":{"ieee":"B. Liu, L. Huang, and T. Zentgraf, “Efficient Third-harmonic Generation Control with Ultrathin Dielectric Geometric-phase Metasurface,” presented at the CLEO: QELS_Fundamental Science 2022, San Jose, USA, 2022, doi: 10.1364/cleo_qels.2022.fth1a.7.","chicago":"Liu, Bingyi, Lingling Huang, and Thomas Zentgraf. “Efficient Third-Harmonic Generation Control with Ultrathin Dielectric Geometric-Phase Metasurface.” In Conference on Lasers and Electro-Optics. Technical Digest Series. Optica Publishing Group, 2022. https://doi.org/10.1364/cleo_qels.2022.fth1a.7.","ama":"Liu B, Huang L, Zentgraf T. Efficient Third-harmonic Generation Control with Ultrathin Dielectric Geometric-phase Metasurface. In: Conference on Lasers and Electro-Optics. Technical Digest Series. Optica Publishing Group; 2022. doi:10.1364/cleo_qels.2022.fth1a.7","apa":"Liu, B., Huang, L., & Zentgraf, T. (2022). Efficient Third-harmonic Generation Control with Ultrathin Dielectric Geometric-phase Metasurface. Conference on Lasers and Electro-Optics, Article FTh1A.7. CLEO: QELS_Fundamental Science 2022, San Jose, USA. https://doi.org/10.1364/cleo_qels.2022.fth1a.7","short":"B. Liu, L. Huang, T. Zentgraf, in: Conference on Lasers and Electro-Optics, Optica Publishing Group, 2022.","bibtex":"@inproceedings{Liu_Huang_Zentgraf_2022, series={Technical Digest Series}, title={Efficient Third-harmonic Generation Control with Ultrathin Dielectric Geometric-phase Metasurface}, DOI={10.1364/cleo_qels.2022.fth1a.7}, number={FTh1A.7}, booktitle={Conference on Lasers and Electro-Optics}, publisher={Optica Publishing Group}, author={Liu, Bingyi and Huang, Lingling and Zentgraf, Thomas}, year={2022}, collection={Technical Digest Series} }","mla":"Liu, Bingyi, et al. “Efficient Third-Harmonic Generation Control with Ultrathin Dielectric Geometric-Phase Metasurface.” Conference on Lasers and Electro-Optics, FTh1A.7, Optica Publishing Group, 2022, doi:10.1364/cleo_qels.2022.fth1a.7."},"date_updated":"2023-08-14T08:18:20Z","publisher":"Optica Publishing Group","author":[{"full_name":"Liu, Bingyi","last_name":"Liu","first_name":"Bingyi"},{"last_name":"Huang","full_name":"Huang, Lingling","first_name":"Lingling"},{"first_name":"Thomas","id":"30525","full_name":"Zentgraf, Thomas","last_name":"Zentgraf","orcid":"0000-0002-8662-1101"}],"date_created":"2023-08-14T08:13:24Z","title":"Efficient Third-harmonic Generation Control with Ultrathin Dielectric Geometric-phase Metasurface","conference":{"end_date":"2022-05-20","location":"San Jose, USA","name":"CLEO: QELS_Fundamental Science 2022","start_date":"2022-05-15"},"doi":"10.1364/cleo_qels.2022.fth1a.7"},{"abstract":[{"text":"Subwavelength dielectric resonators assembled into metasurfaces have become a versatile tool for miniaturizing optical components approaching the nanoscale. An important class of metasurface functionalities is associated with asymmetry in both the generation and transmission of light with respect to reversals of the positions of emitters and receivers. The nonlinear light–matter interaction in metasurfaces offers a promising pathway towards miniaturization of the asymmetric control of light. Here we demonstrate asymmetric parametric generation of light in nonlinear metasurfaces. We assemble dissimilar nonlinear dielectric resonators into translucent metasurfaces that produce images in the visible spectral range on being illuminated by infrared radiation. By design, the metasurfaces produce different and completely independent images for the reversed direction of illumination, that is, when the positions of the infrared emitter and the visible light receiver are exchanged. Nonlinearity-enabled asymmetric control of light by subwavelength resonators paves the way towards novel nanophotonic components via dense integration of large quantities of nonlinear resonators into compact metasurface designs.","lang":"eng"}],"publication":"Nature Photonics","keyword":["Atomic and Molecular Physics","and Optics","Electronic","Optical and Magnetic Materials"],"language":[{"iso":"eng"}],"year":"2022","quality_controlled":"1","title":"Asymmetric parametric generation of images with nonlinear dielectric metasurfaces","publisher":"Springer Science and Business Media LLC","date_created":"2022-06-21T05:52:43Z","status":"public","type":"journal_article","article_type":"original","_id":"32088","project":[{"name":"TRR 142: TRR 142","_id":"53","grant_number":"231447078"},{"name":"TRR 142 - B: TRR 142 - Project Area B","_id":"55"},{"_id":"170","name":"TRR 142 - B09: TRR 142 - Effiziente Erzeugung mit maßgeschneiderter optischer Phaselage der zweiten Harmonischen mittels Quasi-gebundener Zustände in GaAs Metaoberflächen (B09*)","grant_number":"231447078"}],"department":[{"_id":"15"},{"_id":"230"},{"_id":"289"},{"_id":"623"}],"user_id":"30525","intvolume":" 16","page":"561–565","citation":{"chicago":"Kruk, Sergey S., Lei Wang, Basudeb Sain, Zhaogang Dong, Joel Yang, Thomas Zentgraf, and Yuri Kivshar. “Asymmetric Parametric Generation of Images with Nonlinear Dielectric Metasurfaces.” Nature Photonics 16 (2022): 561–565. https://doi.org/10.1038/s41566-022-01018-7.","ieee":"S. S. Kruk et al., “Asymmetric parametric generation of images with nonlinear dielectric metasurfaces,” Nature Photonics, vol. 16, pp. 561–565, 2022, doi: 10.1038/s41566-022-01018-7.","ama":"Kruk SS, Wang L, Sain B, et al. Asymmetric parametric generation of images with nonlinear dielectric metasurfaces. Nature Photonics. 2022;16:561–565. doi:10.1038/s41566-022-01018-7","apa":"Kruk, S. S., Wang, L., Sain, B., Dong, Z., Yang, J., Zentgraf, T., & Kivshar, Y. (2022). Asymmetric parametric generation of images with nonlinear dielectric metasurfaces. Nature Photonics, 16, 561–565. https://doi.org/10.1038/s41566-022-01018-7","bibtex":"@article{Kruk_Wang_Sain_Dong_Yang_Zentgraf_Kivshar_2022, title={Asymmetric parametric generation of images with nonlinear dielectric metasurfaces}, volume={16}, DOI={10.1038/s41566-022-01018-7}, journal={Nature Photonics}, publisher={Springer Science and Business Media LLC}, author={Kruk, Sergey S. and Wang, Lei and Sain, Basudeb and Dong, Zhaogang and Yang, Joel and Zentgraf, Thomas and Kivshar, Yuri}, year={2022}, pages={561–565} }","mla":"Kruk, Sergey S., et al. “Asymmetric Parametric Generation of Images with Nonlinear Dielectric Metasurfaces.” Nature Photonics, vol. 16, Springer Science and Business Media LLC, 2022, pp. 561–565, doi:10.1038/s41566-022-01018-7.","short":"S.S. Kruk, L. Wang, B. Sain, Z. Dong, J. Yang, T. Zentgraf, Y. Kivshar, Nature Photonics 16 (2022) 561–565."},"publication_identifier":{"issn":["1749-4885","1749-4893"]},"publication_status":"published","doi":"10.1038/s41566-022-01018-7","main_file_link":[{"url":"https://arxiv.org/abs/2108.04425","open_access":"1"}],"date_updated":"2025-05-21T08:49:00Z","oa":"1","volume":16,"author":[{"last_name":"Kruk","full_name":"Kruk, Sergey S.","first_name":"Sergey S."},{"last_name":"Wang","full_name":"Wang, Lei","first_name":"Lei"},{"first_name":"Basudeb","last_name":"Sain","full_name":"Sain, Basudeb"},{"first_name":"Zhaogang","last_name":"Dong","full_name":"Dong, Zhaogang"},{"first_name":"Joel","last_name":"Yang","full_name":"Yang, Joel"},{"first_name":"Thomas","full_name":"Zentgraf, Thomas","id":"30525","orcid":"0000-0002-8662-1101","last_name":"Zentgraf"},{"first_name":"Yuri","last_name":"Kivshar","full_name":"Kivshar, Yuri"}]}]