Inverse design of nonlinear metasurfaces for sum frequency generation
Open accessAbstract
Sum frequency generation (SFG) has multiple applications, from optical sources to imaging, where efficient conversion requires either long interaction distances or large field concentrations in a quadratic nonlinear material. Metasurfaces provide an essential avenue to enhanced SFG due to resonance with extreme field enhancements with an integrated ultrathin platform. In this work, we formulate a general theoretical framework for multi‐objective topology optimization of nanopatterned metasurfaces that facilitate high‐efficiency SFG and simultaneously select the emitted direction and tailor the metasurface polarization response. Based on this framework, we present novel metasurface designs showcasing ultimate flexibility in transforming the outgoing nonlinearly generated light for applications spanning from imaging to polarimetry. For example, one of our metasurfaces produces highly polarized and directional SFG emission with an efficiency of over 0.2 cm 2 GW −1 in a 10 nm signal operating bandwidth.
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ISTs offer one of the largest χ(2) available in condensed matter systems.
“ISTs offer one of the largest χ (2) available in condensed matter systems [37]”
From Inverse Design of an All-Dielectric Nonlinear Polaritonic Metasurface. (2025) · cites this paper as [37]
The Results section discusses χ(2) in metasurface design and identifies InGaP as the nonlinear material used in the examples. Searches for ISTs, intersubband transitions, and a comparison of χ(2) values across condensed-matter systems found no passage addressing the claim. (LLM, conf=0.74)
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References 64 · Cited by 12
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- [1]Doughty B. Lin L. Premadasa U. I. Ma Y.-Z. Considerations in upconversion: a practical guide to sum-frequency generation spectrometer design and implementation Biointerphases 17 2 021201 2022 10.1116/6.0001817 35473296 · DOI
- [2]Junaid S. Mid-infrared upconversion based hyperspectral imaging Opt. Express 26 3 2203 2211 2018 10.1364/OE.26.002203 29401760 · DOI
- [3]Ashik A. S. O’Donnell C. F. Kumar S. C. Ebrahim-Zadeh M. Tidemand-Lichtenberg P. Pedersen C. Mid-infrared upconversion imaging using femtosecond pulses Photonics Res. 7 7 783 791 2019 10.1364/PRJ.7.000783 · DOI
- [4]Hanninen A. M. Prince R. C. Ramos R. Plikus M. V. Potma E. O. High-resolution infrared imaging of biological samples with third-order sum-frequency generation microscopy Biomed. Opt. Express 9 10 4807 4817 2018 10.1364/BOE.9.004807 30319904 PMC6179410 · DOI
- [5]Camacho-Morales M. D. R. Infrared upconversion imaging in nonlinear metasurfaces Adv. Photonics 3 3 036002 2021 10.1117/1.AP.3.3.036002 · DOI
- [6]Zhu Z. Nonlinear polarization imaging by parametric upconversion Optica 9 11 1297 1302 2022 10.1364/OPTICA.471177 · DOI
- [7]Koshelev K. L. Tonkaev P. Kivshar Y. S. Nonlinear chiral metaphotonics: a perspective Adv. Photonics 5 6 064001 2023 10.1117/1.AP.5.6.064001 · DOI
- [8]Angelis C. D. Leo G. Neshev D. N. Nonlinear Meta-Optics London CRC Press 2020 10.1201/b22515 · DOI
- [9]Grinblat G. Nonlinear dielectric nanoantennas and metasurfaces: frequency conversion and wavefront control ACS Photonics 8 12 3406 3432 2021 10.1021/acsphotonics.1c01356 · DOI
- [10]Huang L. J. Xu L. Powell D. A. Padilla W. J. Miroshnichenko A. E. Resonant leaky modes in all-dielectric metasystems: fundamentals and applications Phys. Rep. 1008 1 66 2023 10.1016/j.physrep.2023.01.001 · DOI
- [11]Kuznetsov A. I. Roadmap for optical metasurfaces ACS Photonics 11 3 816 865 2024 10.1021/acsphotonics.3c00457 38550347 PMC10971570 · DOI · Paper page
- [12]Marino G. Zero-order second harmonic generation from AlGaAs-on-insulator metasurfaces ACS Photonics 6 5 1226 1231 2019 10.1021/acsphotonics.9b00110 · DOI
- [13]Kivshar Y. Miroshnichenko A. Meta-optics with Mie resonances Opt. Photonics News 28 1 24 31 2017 10.1364/OPN.28.1.000024 · DOI
- [14]Melik-Gaykazyan E. V. Selective third-harmonic generation by structured light in mie-resonant nanoparticles ACS Photonics 5 3 728 733 2018 10.1021/acsphotonics.7b01277 · DOI
- [15]Camacho-Morales R. Nonlinear generation of vector beams from AlGaAs nanoantennas Nano Lett. 16 11 7191 7197 2016 10.1021/acs.nanolett.6b03525 27797212 · DOI
- [16]Smirnova D. Smirnov A. I. Kivshar Y. S. Multipolar second-harmonic generation by Mie-resonant dielectric nanoparticles Phys. Rev. A 97 1 13807 2018 10.1103/PhysRevA.97.013807 · DOI
- [17]Frizyuk K. Volkovskaya I. Smirnova D. Poddubny A. Petrov M. Second-harmonic generation in Mie-resonant dielectric nanoparticles made of noncentrosymmetric materials Phys. Rev. B 99 7 75425 2019 10.1103/PhysRevB.99.075425 · DOI
- [18]Vabishchevich P. P. Liu S. Sinclair M. B. Keeler G. A. Peake G. M. Brener I. Enhanced second-harmonic generation using broken symmetry III–V semiconductor fano metasurfaces ACS Photonics 5 5 1685 1690 2018 10.1021/acsphotonics.7b01478 · DOI
- [19]Carletti L. Kruk S. S. Bogdanov A. A. De Angelis C. Kivshar Y. High-harmonic generation at the nanoscale boosted by bound states in the continuum Phys. Rev. Res. 1 2 23016 2019 10.1103/PhysRevResearch.1.023016 · DOI
- [20]Anthur A. P. Continuous wave second harmonic generation enabled by quasi-bound-states in the continuum on gallium phosphide metasurfaces Nano Lett. 20 12 8745 8751 2020 10.1021/acs.nanolett.0c03601 33206536 · DOI
- [21]Fang C. Z. Efficient second-harmonic generation from silicon slotted nanocubes with bound states in the continuum Laser Photonics Rev. 16 5 2100498 2022 10.1002/lpor.202100498 · DOI
- [22]Zograf G. High-harmonic generation from resonant dielectric metasurfaces empowered by bound states in the continuum ACS Photonics 9 2 567 574 2022 10.1021/acsphotonics.1c01511 · DOI
- [23]Zhang X. T. Quasi-bound states in the continuum enhanced second-harmonic generation in thin-film lithium niobate Laser Photonics Rev. 16 9 2200031 2022 10.1002/lpor.202200031 · DOI
- [24]Zheng Z. Boosting second-harmonic generation in the LiNbO3 metasurface using high-Q guided resonances and bound states in the continuum Phys. Rev. B 106 12 125411 2022 10.1103/PhysRevB.106.125411 · DOI
- [25]Kolkowski R. Hakala T. K. Shevchenko A. Huttunen M. J. Nonlinear nonlocal metasurfaces Appl. Phys. Lett. 122 16 160502 2023 10.1063/5.0140483 · DOI
- [26]Jiang H. Tunable second harmonic generation with large enhancement in a nonlocal all-dielectric metasurface over a broad spectral range Adv. Opt. Mater. 2024 2303229 2024 10.1002/adom.202303229 · DOI
- [27]Liu S. An all-dielectric metasurface as a broadband optical frequency mixer Nat. Commun. 9 1 2507 2018 10.1038/s41467-018-04944-9 29955051 PMC6023909 · DOI
- [28]Yuan Q. Second harmonic and sum-frequency generations from a silicon metasurface integrated with a two-dimensional material ACS Photonics 6 9 2252 2259 2019 10.1021/acsphotonics.9b00553 · DOI
- [29]Camacho-Morales R. Sum-frequency generation in high-Q GaP metasurfaces driven by leaky-wave guided modes Nano Lett. 22 15 6141 6148 2022 10.1021/acs.nanolett.2c01349 35867018 · DOI
- [30]Rocco D. Second order nonlinear frequency generation at the nanoscale in dielectric platforms Adv. Phys. X 7 1 2022992 2022 10.1080/23746149.2021.2022992 · DOI
- [31]Rocco D. Vertical second harmonic generation in asymmetric dielectric nanoantennas IEEE Photonics J. 12 3 1 7 2020 10.1109/JPHOT.2020.2988502 · DOI
- [32]Gigli C. Tensorial phase control in nonlinear meta-optics Optica 8 2 269 276 2021 10.1364/OPTICA.413329 · DOI
- [33]Xu L. Enhanced light–matter interactions in dielectric nanostructures via machine-learning approach Adv. Photonics 2 2 026003 2020 10.1117/1.AP.2.2.026003 · DOI
- [34]Sitawarin C. Jin W. L. Lin Z. Rodriguez A. W. Inverse-designed photonic fibers and metasurfaces for nonlinear frequency conversion [invited] Photonics Res. 6 5 B82 B89 2018 10.1364/PRJ.6.000B82 · DOI
- [35]Hughes T. W. Minkov M. Williamson I. A. D. Fan S. Adjoint method and inverse design for nonlinear nanophotonic devices ACS Photonics 5 12 4781 4787 2018 10.1021/acsphotonics.8b01522 · DOI
- [36]Raju L. Maximized frequency doubling through the inverse design of nonlinear metamaterials ACS Nano 16 3 3926 3933 2022 10.1021/acsnano.1c09298 35157437 · DOI
- [37]Mann S. A. Goh H. Alù A. Inverse design of nonlinear polaritonic metasurfaces for second harmonic generation ACS Photonics 10 4 993 1000 2023 10.1021/acsphotonics.2c01342 · DOI
- [38]Carletti L. Steering and encoding the polarization of the second harmonic in the visible with a monolithic LiNbO3 metasurface ACS Photonics 8 3 731 737 2021 10.1021/acsphotonics.1c00026 33842671 PMC8029498 · DOI
- [39]Di Francescantonio A. All-optical free-space routing of upconverted light by metasurfaces via nonlinear interferometry Nat. Nanotechnol. 19 3 298 305 2024 10.1038/s41565-023-01549-2 38052942 · DOI
- [40]Bar-David J. Levy U. Nonlinear diffraction in asymmetric dielectric metasurfaces Nano Lett. 19 2 1044 1051 2019 10.1021/acs.nanolett.8b04342 30608703 · DOI
- [41]Nauman M. Tunable unidirectional nonlinear emission from transition-metal-dichalcogenide metasurfaces Nat. Commun. 12 1 5597 2021 10.1038/s41467-021-25717-x 34552076 PMC8458373 · DOI
- [42]Hillery M. An introduction to the quantum theory of nonlinear optics Acta Phys. Slovaca 59 1 1 80 2009 10.48550/arXiv.0901.3439 · DOI
- [43]Boyd R. W. Nonlinear Optics 4th ed San Diego Academic Press 2020 10.1016/C2015-0-05510-1 · DOI
- [44]Jensen J. S. Sigmund O. Topology optimization for nano-photonics Laser Photonics Rev. 5 2 308 321 2011 10.1002/lpor.201000014 · DOI · Paper page
- [45]Lalau-Keraly C. M. Bhargava S. Miller O. D. Yablonovitch E. Adjoint shape optimization applied to electromagnetic design Opt. Express 21 18 21693 21701 2013 10.1364/OE.21.021693 24104043 · DOI · Paper page
- [46]Niederberger A. C. R. Fattal D. A. Gauger N. R. Fan S. H. Beausoleil R. G. Sensitivity analysis and optimization of sub-wavelength optical gratings using adjoints Opt. Express 22 11 12971 12981 2014 10.1364/OE.22.012971 24921494 · DOI
- [48]Christiansen R. E. Michon J. Benzaouia M. Sigmund O. Johnson S. G. Inverse design of nanoparticles for enhanced Raman scattering Opt. Express 28 4 4444 4462 2020 10.1364/OE.28.004444 32121681 · DOI
- [49]Christiansen R. E. Sigmund O. Inverse design in photonics by topology optimization: tutorial J. Opt. Soc. Am. B 38 2 496 509 2021 10.1364/JOSAB.406048 · DOI
- [50]Lin Z. Liang X. D. Loncar M. Johnson S. G. Rodriguez A. W. Cavity-enhanced second-harmonic generation via nonlinear-overlap optimization Optica 3 3 233 238 2016 10.1364/OPTICA.3.000233 · DOI
- [51]Yang J. Hugonin J.-P. Lalanne P. Near-to-Far field transformations for radiative and guided waves ACS Photonics 3 3 395 402 2016 10.1021/acsphotonics.5b00559 · DOI
- [52]Sukhorukov A. A. Solntsev A. S. Kruk S. S. Neshev D. N. Kivshar Y. S. Nonlinear coupled-mode theory for periodic plasmonic waveguides and metamaterials with loss and gain Opt. Lett. 39 3 462 465 2014 10.1364/OL.39.000462 24487840 · DOI
- [53]Ruan Z. Veronis G. Vodopyanov K. L. Fejer M. M. Fan S. Enhancement of optics-to-THz conversion efficiency by metallic slot waveguides Opt. Express 17 16 13502 13515 2009 10.1364/OE.17.013502 19654758 · DOI
- [54]Elsawy M. M. R. Lanteri S. Duvigneau R. Fan J. A. Genevet P. Numerical optimization methods for metasurfaces Laser Photonics Rev. 14 10 1900445 2020 10.1002/lpor.201900445 · DOI
- [55]Ballew C. Roberts G. Zheng T. Faraon A. Constraining continuous topology optimizations to discrete solutions for photonic applications ACS Photonics 10 4 836 844 2023 10.1021/acsphotonics.2c00862 37096213 PMC10119985 · DOI
- [59]Liang X. Johnson S. G. Formulation for scalable optimization of microcavities via the frequency-averaged local density of states Opt. Express 21 25 30812 30841 2013 10.1364/OE.21.030812 24514656 · DOI
- [60]Wang S. Yao N. Fang W. Tong L. Polarization-independent photon up-conversion with a single lithium niobate waveguide Opt. Express 30 2 2817 2824 2022 10.1364/OE.447817 35209414 · DOI
- [61]Song X.-S. Yu Z.-Y. Wang Q. Xu F. Lu Y.-Q. Polarization independent quasi-phase-matched sum frequency generation for single photon detection Opt. Express 19 1 380 386 2011 10.1364/OE.19.000380 21263577 · DOI
- [62]Tseng M. L. Vacuum ultraviolet nonlinear metalens Sci. Adv. 8 16 eabn5644 2024 10.1126/sciadv.abn5644 PMC9020660 35442736 · DOI
- [63]Keren-Zur S. Michaeli L. Suchowski H. Ellenbogen T. Shaping light with nonlinear metasurfaces Adv. Opt. Photonics 10 1 309 353 2018 10.1364/AOP.10.000309 · DOI
- Authors
- Li, N., Zhang, J., Neshev, D. N., & Sukhorukov, A. A.
- Affiliations
- Australian National University (AU)
- Corresponding author
- Li, Neuton
- Venue
- Nanophotonics
- Publisher
- Wiley
- Published
- 2024-06-05
- Volume
- 13
- Issue
- 18
- Pages
- 3363-3372
- ISSN
- 2192-8606 (ISSN-L)
- 2192-8614
- PMC
- PMC11501459
- OpenAlex
- W4393118669
- Cited by
- 12
- References
- 64
- Citations by year
- 2026: 2 · 2025: 9 · 2024: 1
- FWCI
- 0.94
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- Locations
- Nanophotonics (publishedVersion, cc-by)
- PubMed Central (publishedVersion, cc-by)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion, cc-by)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- Figshare (submittedVersion, cc-by)
- arXiv (Cornell University) (cc-by)
- Funders
- Australian Research Council (CE200100010)
- Topics
- Physical Sciences › Materials Science › Electronic, Optical and Magnetic Materials › Metamaterials and Metasurfaces Applications
- Physical Sciences › Engineering › Biomedical Engineering › Plasmonic and Surface Plasmon Research
- Physical Sciences › Engineering › Aerospace Engineering › Advanced Antenna and Metasurface Technologies
- Keywords
- sum-frequency generation, nonlinear metasurfaces, inverse design, topology optimization, quadratic nonlinear optics, field enhancement, polarization control, directional emission
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