Origin of second-harmonic generation enhancement in optical split-ring resonators
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We present a study of the second-order nonlinear optical properties of metal-based metamaterials. A hydrodynamic model for electronic response is used, in which nonlinear surface contributions are expressed in terms of the bulk polarization. The model is in good agreement with published experimental results, and clarifies the mechanisms contributing to the nonlinear response. In particular, we show that the reported enhancement of the second harmonic in split-ring resonator based media is driven by the electric rather than the magnetic properties of the structure.
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A hydrodynamic model for the electronic response in nanoplasmonic split-ring resonators explains the generation of THz radiation via optical rectification.
“This behavior can be understood by a hydrodynamic model for the electronic response in nanoplasmonic SRRs, which was introduced first for interpreting second harmonic generation205 and then the generation of THz radiation via optical rectification200.”
From Ultrafast terahertz emission from emerging symmetry-broken materials (2023) · cites this paper as [205]
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Controlling Electromagnetic Fields
Pendry, J. B., Schurig, D., & Smith, D. R. (2006) · Science · doi:10.1126/science.1125907 · Cited by 8,600 · see citing works
Self-citationSecond-Harmonic Generation from Magnetic Metamaterials
Klein, M. W., Enkrich, C., Wegener, M., & Linden, S. (2006) · Science · doi:10.1126/science.1129198 · Cited by 762 · see citing works
Analysis of second-harmonic generation at metal surfaces
Sipe, J. E., So, V., Fukui, M., & Stegeman, G. I. (1980) · Physical review. B, Condensed matter · doi:10.1103/physrevb.21.4389 · Cited by 366 · see citing works
Second-Harmonic Radiation from Metal Surfaces
Rudnick, J., & Stern, E. A. (1971) · Physical review. B, Solid state · doi:10.1103/physrevb.4.4274 · Cited by 352 · see citing works
Local Field Asymmetry Drives Second-Harmonic Generation in Noncentrosymmetric Nanodimers
Canfield, B. K., Husu, H., Laukkanen, J., Bai, B., Kuittinen, M., Turunen, J. P., & Kauranen, M. O. (2007) · Nano Letters · doi:10.1021/nl0701253 · Cited by 276 · see citing works
Unusual resonances in nanoplasmonic structures due to nonlocal response
Raza, S., Toscano, G., Jauho, A., Wubs, M., & Mortensen, N. A. (2011) · Physical Review B · doi:10.1103/physrevb.84.121412 · Cited by 270 · see citing works
Experiments on second- and third-harmonic generation from magnetic metamaterials
Klein, M. W., Wegener, M., Feth, N., & Linden, S. (2007) · Optics Express · doi:10.1364/oe.15.005238 · Cited by 262 · see citing works
Optical Second Harmonic Generation of Single Metallic Nanoparticles Embedded in a Homogeneous Medium
Butet, J., Duboisset, J., Bachelier, G., Russier‐Antoine, I., Bénichou, E., Jonin, C., & Brevet, P. (2010) · Nano Letters · doi:10.1021/nl1000949 · Cited by 249 · see citing works
Second- and third-harmonic generation in metal-based structures
Scalora, M., Vincenti, M. A., de Ceglia, D., Roppo, V., Centini, M., Aközbek, N., & Bloemer, M. J. (2010) · Physical Review A · doi:10.1103/physreva.82.043828 · Cited by 242 · see citing works
Self-citationStrong Modification of the Nonlinear Optical Response of Metallic Subwavelength Hole Arrays
van Nieuwstadt, J. A. H., Sandtke, M., Harmsen, R., Segerink, F. B., Prangsma, J. C., Enoch, S., & Kuipers, L. (2006) · Physical Review Letters · doi:10.1103/physrevlett.97.146102 · Cited by 218 · see citing works
Nonlinear Optical Response from Arrays of Au Bowtie Nanoantennas
Ko, K. D., Kumar, A., Fung, K. H., Ambekar, R., Liu, G. L., Fang, N. X., & Toussaint, K. C. (2010) · Nano Letters · doi:10.1021/nl102751m · Cited by 185 · see citing works
Classical theory for second-harmonic generation from metallic nanoparticles
Zeng, Y., Hoyer, W., Liu, J., Koch, S. W., & Moloney, J. V. (2009) · Physical Review B · doi:10.1103/physrevb.79.235109 · Cited by 180 · see citing works
Asymmetric Optical Second-Harmonic Generation from Chiral G -Shaped Gold Nanostructures
Valev, V. K., Silhanek, A. V., Verellen, N., Gillijns, W., Dorpe, P. V., Aktsipetrov, O. A., Vandenbosch, G. A. E., Moshchalkov, V. V., & Verbiest, T. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.127401 · Cited by 167 · see citing works
Second-harmonic generation from complementary split-ring resonators
Feth, N.-A., Lindén, S., Klein, M. W., Decker, M., Niesler, F., Zeng, Y., Hoyer, W., Liu, J., Koch, S. W., Moloney, J. V., et al. (2008) · Optics Letters · doi:10.1364/ol.33.001975 · Cited by 134 · see citing works
Neacsu, C. C., Reider, G. A., & Raschke, M. B. (2005) · Physical Review B · doi:10.1103/physrevb.71.201402 · Cited by 118 · see citing works
Towards the Origin of the Nonlinear Response in Hybrid Plasmonic Systems
Utikal, T., Zentgraf, T., Paul, T., Rockstuhl, C., Lederer, F., Lippitz, M., & Giessen, H. W. (2011) · Physical Review Letters · doi:10.1103/physrevlett.106.133901 · Cited by 112 · see citing works
Canfield, B. K., Kujala, S., Jefimovs, K., Turunen, J. P., & Kauranen, M. O. (2004) · Optics Express · doi:10.1364/opex.12.005418 · Cited by 103 · see citing works
Nonlinear optical spectroscopy of photonic metamaterials
Kim, E., Wang, F., Wu, W., Yu, Z., & Shen, Y. R. (2008) · Physical Review B · doi:10.1103/physrevb.78.113102 · Cited by 98 · see citing works
Experimental study of optical second-harmonic scattering from spherical nanoparticles
Shan, J., Dadap, J. I., Stiopkin, I. V., Reider, G. A., & Heinz, T. F. (2006) · Physical Review A · doi:10.1103/physreva.73.023819 · Cited by 97 · see citing works
Extinction properties of thin metallic nanowires
Ruppin, R. (2001) · Optics Communications · doi:10.1016/s0030-4018(01)01063-x · Cited by 88 · see citing works
Second-harmonic generation from arrays of symmetric gold nanoparticles
McMahon, M. D., López, R., Haglund, R. F., Ray, E. A., & Bunton, P. H. (2006) · Physical Review B · doi:10.1103/physrevb.73.041401 · Cited by 74 · see citing works
Second-harmonic optical spectroscopy on split-ring-resonator arrays
Niesler, F., Feth, N., Lindén, S., & Wegener, M. (2011) · Optics Letters · doi:10.1364/ol.36.001533 · Cited by 68 · see citing works
Vincenti, M. A., de Ceglia, D., Roppo, V., & Scalora, M. (2011) · Optics Express · doi:10.1364/oe.19.002064 · Cited by 50 · see citing works
Self-citationNonlinear polarisation inside metals: A mathematical study of the free-electron model
Maystre, D. R., Nevière, M., & Reinisch, R. (1986) · Applied Physics A · doi:10.1007/bf00616828 · Cited by 47 · see citing works
Characterization of the second-harmonic response of a silver–air interface
O’Donnell, K. A., & Torre, R. (2005) · New Journal of Physics · doi:10.1088/1367-2630/7/1/154 · Cited by 36 · see citing works
Larouche, S., Rose, A., Poutrina, E., Huang, D., & Smith, D. R. (2010) · Applied Physics Letters · doi:10.1063/1.3460919 · Cited by 30 · see citing works
Self-citationElectrodynamic boundary conditions at metal interfaces
Jewsbury, P. (1981) · Journal of Physics F Metal Physics · doi:10.1088/0305-4608/11/1/021 · Cited by 28 · see citing works
Generalised additional boundary condition for non-local dielectrics. II. Surface polaritons
Halevi, P., & Fuchs, R. (1984) · Journal of Physics C Solid State Physics · doi:10.1088/0022-3719/17/21/018 · Cited by 14 · see citing works
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A review of metasurfaces: physics and applications
Chen, H., Taylor, A. J., & Yu, N. (2016) · Reports on Progress in Physics · doi:10.1088/0034-4885/79/7/076401 · Cited by 2,568 · see citing works
Kauranen, M. O., & Zayats, A. V. (2012) · Nature Photonics · doi:10.1038/nphoton.2012.244 · Cited by 2,545 · see citing works
Nonlinear metasurfaces: a paradigm shift in nonlinear optics
Krasnok, A., Tymchenko, M., & Alù, A. (2018) · Materials Today · doi:10.1016/j.mattod.2017.06.007 · Cited by 613 · see citing works
Butet, J., Brevet, P., & Martin, O. J. F. (2015) · ACS Nano · doi:10.1021/acsnano.5b04373 · Cited by 607 · see citing works
Spin and wavelength multiplexed nonlinear metasurface holography
Ye, W., Zeuner, F., Li, X., Reineke, B., He, S., Qiu, C., Liu, J., Wang, Y., Zhang, S., & Zentgraf, T. (2016) · Nature Communications · doi:10.1038/ncomms11930 · Cited by 592 · see citing works
Gradient metasurfaces: a review of fundamentals and applications
Ding, F., Pors, A., & Bozhevolnyi, S. I. (2017) · Reports on Progress in Physics · doi:10.1088/1361-6633/aa8732 · Cited by 553 · see citing works
Nonlocal optical response in metallic nanostructures
Raza, S., Bozhevolnyi, S. I., Wubs, M., & Mortensen, N. A. (2015) · Journal of Physics Condensed Matter · doi:10.1088/0953-8984/27/18/183204 · Cited by 428 · see citing works
Controlling light with metamaterial-based nonlinear photonic crystals
Segal, N., Keren-Zur, S., Hendler, N., & Ellenbogen, T. (2015) · Nature Photonics · doi:10.1038/nphoton.2015.17 · Cited by 360 · see citing works
Broadband terahertz generation from metamaterials
Luo, L., Chatzakis, I., Wang, J., Niesler, F. B. P., Wegener, M., Koschny, T., & Soukoulis, C. M. (2014) · Nature Communications · doi:10.1038/ncomms4055 · Cited by 217 · see citing works
Nonlinear Beam Shaping with Plasmonic Metasurfaces
Keren-Zur, S., Avayu, O., Michaeli, L., & Ellenbogen, T. (2015) · ACS Photonics · doi:10.1021/acsphotonics.5b00528 · Cited by 210 · see citing works
Nonlinear Surface Lattice Resonance in Plasmonic Nanoparticle Arrays
Michaeli, L., Keren-Zur, S., Avayu, O., Suchowski, H., & Ellenbogen, T. (2017) · Physical Review Letters · doi:10.1103/physrevlett.118.243904 · Cited by 172 · see citing works
Yang, J., Gurung, S., Bej, S., Ni, P., & Lee, H. W. H. (2022) · Reports on Progress in Physics · doi:10.1088/1361-6633/ac2aaf · Cited by 166 · see citing works
Enhancement of Second-Harmonic Generation from Metal Nanoparticles by Passive Elements
Czaplicki, R., Husu, H., Siikanen, R., Mäkitalo, J., Kauranen, M. O., Laukkanen, J., Lehtolahti, J., & Kuittinen, M. (2013) · Physical Review Letters · doi:10.1103/physrevlett.110.093902 · Cited by 136 · see citing works
Second-harmonic generation in metallic nanoparticles: Clarification of the role of the surface
Ciracì, C., Poutrina, E., Scalora, M., & Smith, D. R. (2012) · Physical Review B · doi:10.1103/physrevb.86.115451 · Cited by 133 · see citing works
Self-citationEnhanced Magnetic Second-Harmonic Generation from Resonant Metasurfaces
Kruk, S., Weismann, M., Bykov, A. Y., Mamonov, E. A., Kolmychek, I. A., Murzina, T. V., Panoiu, N. C., Neshev, D. N., & Kivshar, Y. S. (2015) · ACS Photonics · doi:10.1021/acsphotonics.5b00215 · Cited by 123 · see citing works
Hyperbolic metamaterials: Nonlocal response regularizes broadband supersingularity
Yan, W., Wubs, M., & Mortensen, N. A. (2012) · Physical Review B · doi:10.1103/physrevb.86.205429 · Cited by 118 · see citing works
Generation of spatiotemporally tailored terahertz wavepackets by nonlinear metasurfaces
Keren-Zur, S., Tal, M., Fleischer, S., Mittleman, D. M., & Ellenbogen, T. (2019) · Nature Communications · doi:10.1038/s41467-019-09811-9 · Cited by 112 · see citing works
Chen, J., Nie, H., Peng, C., Qi, S., Tang, C., Zhang, Y., Wang, L., & Park, G. (2018) · Journal of Lightwave Technology · doi:10.1109/jlt.2018.2846019 · Cited by 110 · see citing works
Yan, W. (2015) · Physical Review B · doi:10.1103/physrevb.91.115416 · Cited by 107 · see citing works
Krasavin, A. V., Ginzburg, P., & Zayats, A. V. (2017) · Laser & Photonics Review · doi:10.1002/lpor.201700082 · Cited by 106 · see citing works
Shaping light with nonlinear metasurfaces
Keren-Zur, S., Michaeli, L., Suchowski, H., & Ellenbogen, T. (2018) · Advances in Optics and Photonics · doi:10.1364/aop.10.000309 · Cited by 105 · see citing works
All-optical ultrafast polarization switching with nonlinear plasmonic metasurfaces
Wang, H., Hu, Z., Deng, J., Zhang, X., Chen, J., Li, K., & Li, G. (2024) · Science Advances · doi:10.1126/sciadv.adk3882 · Cited by 97 · see citing works
Nonlinear Metasurface Fresnel Zone Plates for Terahertz Generation and Manipulation
Minerbi, E., Keren-Zur, S., & Ellenbogen, T. (2019) · Nano Letters · doi:10.1021/acs.nanolett.9b01970 · Cited by 83 · see citing works
Ultrafast terahertz emission from emerging symmetry-broken materials
Pettine, J., Padmanabhan, P., Sirica, N., Prasankumar, R. P., Taylor, A. J., & Chen, H.-T. (2023) · Light: Science & Applications · doi:10.1038/s41377-023-01163-w · Cited by 81 · see citing works
Metasurfaces‐based holography and beam shaping: engineering the phase profile of light
Scheuer, J. (2016) · Nanophotonics · doi:10.1515/nanoph-2016-0109 · Cited by 79 · see citing works
Shi, H., Zhu, X., Zhang, S., Wen, G., Zheng, M., & Duan, H. (2021) · Nanoscale Advances · doi:10.1039/d1na00237f · Cited by 67 · see citing works
Second Harmonic Light Manipulation with Vertical Split Ring Resonators
Tsai, W., Chung, T. L., Hsiao, H., Chen, J., Lin, R. J., Wu, P. C., Sun, G., Wang, C., Misawa, H., & Tsai, D. P. (2018) · Advanced Materials · doi:10.1002/adma.201806479 · Cited by 62 · see citing works
Timbrell, D., You, J. W., Kivshar, Y. S., & Panoiu, N. C. (2018) · Scientific Reports · doi:10.1038/s41598-018-21850-8 · Cited by 61 · see citing works
Nonlinear optics in metamaterials
Litchinitser, N. M. (2018) · Advances in Physics X · doi:10.1080/23746149.2017.1367628 · Cited by 61 · see citing works
Butet, J., & Martin, O. J. F. (2015) · Journal of the Optical Society of America B · doi:10.1364/josab.33.0000a8 · Cited by 55 · see citing works
Magnetic Plasmon-Enhanced Second-Harmonic Generation on Colloidal Gold Nanocups
Ding, S., Zhang, H., Yang, D., Qiu, Y.-H., Nan, F., Yang, Z., Wang, J., Wang, Q., & Lin, H. (2019) · Nano Letters · doi:10.1021/acs.nanolett.9b00020 · Cited by 55 · see citing works
Chen, J., Yang, C., Gu, P. D., Kuang, Y., Tang, C., Chen, S., & Liu, Z. (2020) · Journal of Lightwave Technology · doi:10.1109/jlt.2020.3033971 · Cited by 54 · see citing works
Enhanced optical bistability with film-coupled plasmonic nanocubes
Argyropoulos, C., Ciracì, C., & Smith, D. R. (2014) · Applied Physics Letters · doi:10.1063/1.4866048 · Cited by 53 · see citing works
Self-citationNonlinear Plasmonic Metasurfaces
Rahimi, E., & Gordon, R. (2018) · Advanced Optical Materials · doi:10.1002/adom.201800274 · Cited by 52 · see citing works
Size-dependent second-harmonic generation from gold nanoparticles
Capretti, A., Pecora, E. F., Forestiere, C., Negro, L. D., & Miano, G. (2014) · Physical Review B · doi:10.1103/physrevb.89.125414 · Cited by 50 · see citing works
Yan, W., Mortensen, N. A., & Wubs, M. (2013) · Physical Review B · doi:10.1103/physrevb.88.155414 · Cited by 49 · see citing works
Forestiere, C., Capretti, A., & Miano, G. (2013) · Journal of the Optical Society of America B · doi:10.1364/josab.30.002355 · Cited by 48 · see citing works
Artificial Nonlinearity Generated from Electromagnetic Coupling Metamolecule
Wen, Y., & Zhou, J. P. (2017) · Physical Review Letters · doi:10.1103/physrevlett.118.167401 · Cited by 48 · see citing works
Second harmonic generation in metasurfaces with multipole resonant coupling
Han, A., Dineen, C., Babicheva, V. E., & Moloney, J. V. (2018) · Nanophotonics · doi:10.1515/nanoph-2020-0193 · Cited by 48 · see citing works
Polarization-entangled Bell state generation from an epsilon-near-zero metasurface
Jia, W., Saerens, G., Talts, Ü., Weigand, H., Chapman, R. J., Li, L., Grange, R., & Yang, Y. (2025) · Science Advances · doi:10.1126/sciadv.ads3576 · Cited by 51 · see citing works
Hasan, S. B., Lederer, F., & Rockstuhl, C. (2014) · Materials Today · doi:10.1016/j.mattod.2014.05.009 · Cited by 45 · see citing works
Second-Harmonic Enhancement from a Nonlinear Plasmonic Metasurface Coupled to an Optical Waveguide
Abir, T., Tal, M., & Ellenbogen, T. (2022) · Nano Letters · doi:10.1021/acs.nanolett.1c04584 · Cited by 43 · see citing works
Investigation of broadband terahertz generation from metasurface
Fang, M., Niu, K., Huang, Z., Sha, W. E. I., Wu, X., Koschny, T., & Soukoulis, C. M. (2018) · Optics Express · doi:10.1364/oe.26.014241 · Cited by 41 · see citing works
Third- and Second-Harmonic Generation in All-Dielectric Nanostructures: A Mini Review
Liu, T., Xiao, S., Li, B., Gu, M., Luan, H., & Fang, X. (2022) · Frontiers in Nanotechnology · doi:10.3389/fnano.2022.891892 · Cited by 40 · see citing works
Revisiting the boundary conditions for second-harmonic generation at metal-dielectric interfaces
Reddy, K. N., Chen, P. Y., Fernández‐Domínguez, A. I., & Sivan, Y. (2017) · Journal of the Optical Society of America B · doi:10.1364/josab.34.001824 · Cited by 39 · see citing works
Wu, F., Fan, C., Zhu, K., Wu, J., Qi, X., Sun, Y., Xiao, S., Jiang, H., & Chen, H. (2022) · Physical review. B./Physical review. B · doi:10.1103/physrevb.105.245417 · Cited by 39 · see citing works
Compact Nonlinear Yagi-Uda Nanoantennas
Xiong, X., Jiang, L. J., Sha, W. E. I., Lo, Y. H., & Chew, W. C. (2016) · Scientific Reports · doi:10.1038/srep18872 · Cited by 37 · see citing works
Moeferdt, M., Kiel, T., Sproll, T., Intravaia, F., & Busch, K. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.075431 · Cited by 36 · see citing works
Metamaterial route to direct photoelectric conversion
Wen, Y., & Zhou, J. (2019) · Materials Today · doi:10.1016/j.mattod.2019.01.001 · Cited by 36 · see citing works
Full Complex‐Amplitude Modulation of Second Harmonic Generation with Nonlinear Metasurfaces
Hao, Z., Liu, W., Li, Z., Li, Z., Geng, G., Wang, Y., Cheng, H., Ahmed, H., Chen, X., Li, J., et al. (2021) · Laser & Photonics Review · doi:10.1002/lpor.202100207 · Cited by 36 · see citing works
Minerbi, E., Sideris, S., Khurgin, J. B., & Ellenbogen, T. (2022) · Nano Letters · doi:10.1021/acs.nanolett.2c01400 · Cited by 35 · see citing works
Zheng, X., Kuprešak, M., Mittra, R., & Vandenbosch, G. A. E. (2018) · IEEE Transactions on Antennas and Propagation · doi:10.1109/tap.2018.2851290 · Cited by 35 · see citing works
Nonlinearity in the Dark: Broadband Terahertz Generation with Extremely High Efficiency
Fang, M., Shen, N., Sha, W. E. I., Huang, Z., Koschny, T., & Soukoulis, C. M. (2019) · Physical Review Letters · doi:10.1103/physrevlett.122.027401 · Cited by 33 · see citing works
Xiong, X., Al-Jarro, A., Jiang, L. J., Panoiu, N. C., & Sha, W. E. I. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.95.165432 · Cited by 31 · see citing works
Free electron nonlinearities in heavily doped semiconductors plasmonics
Luca, F. D., Ortolani, M., & Ciracì, C. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.103.115305 · Cited by 31 · see citing works
Self-citationChandrasekar, R., Emani, N. K., Lagutchev, A., Shalaev, V. M., Ciracì, C., Smith, D. R., & Kildishev, A. V. (2015) · Optical Materials Express · doi:10.1364/ome.5.002682 · Cited by 30 · see citing works
Self-citationEvidence of High-Order Nonlinearities in Supercontinuum White-Light Generation from a Gold Nanofilm
Chen, J., Krasavin, A. V., Ginzburg, P., Zayats, A. V., Pullerits, T., & Karki, K. J. (2018) · ACS Photonics · doi:10.1021/acsphotonics.7b01125 · Cited by 30 · see citing works
Full-Wave Analytical Solution of Second-Harmonic Generation in Metal Nanospheres
Capretti, A., Forestiere, C., Negro, L. D., & Miano, G. (2013) · Plasmonics · doi:10.1007/s11468-013-9608-9 · Cited by 29 · see citing works
Inverse Faraday effect from the orbital angular momentum of light
Karakhanyan, V., Eustache, C., Lefier, Y., & Grosjean, T. (2022) · Physical review. B./Physical review. B · doi:10.1103/physrevb.105.045406 · Cited by 29 · see citing works
Engineering nonlinear response of nanomaterials using Fano resonances
Türkpençe, D., Akgüç, G. B., Bek, A., & Taşgın, M. E. (2014) · Journal of Optics · doi:10.1088/2040-8978/16/10/105009 · Cited by 29 · see citing works
Multipolar interference for non-reciprocal nonlinear generation
Poutrina, E., & Urbas, A. M. (2016) · Scientific Reports · doi:10.1038/srep25113 · Cited by 29 · see citing works
Self-citationMaxwell–Hydrodynamic Model for Simulating Nonlinear Terahertz Generation From Plasmonic Metasurfaces
Fang, M., Huang, Z., Sha, W. E. I., & Wu, X. (2017) · IEEE journal on multiscale and multiphysics computational techniques · doi:10.1109/jmmct.2017.2751553 · Cited by 29 · see citing works
THz-photonics transceivers by all-dielectric phonon-polariton nonlinear nanoantennas
Leon, U. A., Rocco, D., Carletti, L., Peccianti, M., Maci, S., Valle, G. D., & Angelis, C. D. (2022) · Scientific Reports · doi:10.1038/s41598-022-08695-y · Cited by 26 · see citing works
Multipolar Third-Harmonic Generation in Fishnet Metamaterials
Wang, L., Shorokhov, A. S., Мелентьев, П. Н., Kruk, S., Decker, M., Helgert, C., Setzpfandt, F., Fedyanin, A. A., Kivshar, Y. S., & Neshev, D. N. (2016) · ACS Photonics · doi:10.1021/acsphotonics.6b00040 · Cited by 25 · see citing works
Guo, K., Wu, J., Chen, F., Zhou, K., Liu, S., & Guo, Z. (2021) · Optics Express · doi:10.1364/oe.432660 · Cited by 24 · see citing works
Second harmonic generation under doubly resonant lattice plasmon excitation
Beer, S. M. J., Gour, J., Alberucci, A., David, C., Nolte, S., & Zeitner, U. D. (2022) · Optics Express · doi:10.1364/oe.470578 · Cited by 24 · see citing works
Origin of third harmonic generation in plasmonic nanoantennas
Lesina, A. C., Berini, P., & Ramunno, L. (2017) · Optical Materials Express · doi:10.1364/ome.7.001575 · Cited by 22 · see citing works
Lesina, A. C., Berini, P., & Ramunno, L. (2017) · Optics Express · doi:10.1364/oe.25.002569 · Cited by 22 · see citing works
Nonperturbative Effective Magnetic Nonlinearity in ENZ Media Doped with Kerr Dielectric Inclusions
Nahvi, E., Liberal, I., & Engheta, N. (2019) · ACS Photonics · doi:10.1021/acsphotonics.9b00913 · Cited by 20 · see citing works
Ahmadivand, A., Gerislioglu, B., & Pala, N. (2018) · Optical Materials · doi:10.1016/j.optmat.2018.07.026 · Cited by 20 · see citing works
Nonlinear frequency up-conversion via double topological edge modes
Qian, C., Choi, K. H., Wu, R. P. H., Zhang, Y., Guo, K., & Fung, K. H. (2018) · Optics Express · doi:10.1364/oe.26.005083 · Cited by 20 · see citing works
Giant enhancement of second-harmonic generation from a nanocavity metasurface
Zhang, X., Deng, J., Jin, M., Li, Y., Mao, N., Tang, Y., Liu, X., Cai, W., Wang, Y., Li, K., et al. (2021) · Science China Physics Mechanics and Astronomy · doi:10.1007/s11433-021-1743-1 · Cited by 19 · see citing works
Chen, J., Zhang, M., Gu, P. D., Weng, Z., Yan, Z., Gao, F., Tang, C., Yan, B., & Zhu, M. (2022) · Applied Physics Express · doi:10.35848/1882-0786/ac9178 · Cited by 19 · see citing works
Butet, J., Raziman, T. V., Yang, K.-Y., Bernasconi, G. D., & Martin, O. J. F. (2016) · Optics Express · doi:10.1364/oe.24.017138 · Cited by 19 · see citing works
Terahertz generation in parallel plate waveguides activated by nonlinear metasurfaces
Sideris, S., & Ellenbogen, T. (2019) · Optics Letters · doi:10.1364/ol.44.003590 · Cited by 19 · see citing works
Giant midinfrared nonlinearity based on multiple quantum well polaritonic metasurfaces
Mekawy, A., & Alù, A. (2020) · Nanophotonics · doi:10.1515/nanoph-2020-0408 · Cited by 19 · see citing works
Liu, S., Yue, P., Zhu, M.-Q., Wen, J., & Lei, D. (2019) · Optics Express · doi:10.1364/oe.27.026377 · Cited by 18 · see citing works
THz Radiation Efficiency Enhancement from Metal–ITO Nonlinear Metasurfaces
Sideris, S., Minerbi, E., McDonnell, C., & Ellenbogen, T. (2022) · ACS Photonics · doi:10.1021/acsphotonics.2c01447 · Cited by 17 · see citing works
Polarization Generation and Manipulation Based on Nonlinear Plasmonic Metasurfaces
Zang, W., Qin, Z., Yang, X., Chen, Z., Wang, S., & Wang, Z. (2019) · Advanced Optical Materials · doi:10.1002/adom.201801747 · Cited by 17 · see citing works
Reddy, K. N., Chen, P. Y., Fernández‐Domínguez, A. I., & Sivan, Y. (2019) · Physical review. B./Physical review. B · doi:10.1103/physrevb.99.235429 · Cited by 17 · see citing works
Luca, F. D., & Ciracì, C. (2019) · Journal of the Optical Society of America B · doi:10.1364/josab.36.001979 · Cited by 17 · see citing works
Self-citationLuca, F. D., & Ciracì, C. (2022) · Physical Review Letters · doi:10.1103/physrevlett.129.123902 · Cited by 16 · see citing works
Self-citationA universal route to efficient non-linear response via Thomson scattering in linear solids
Wen, Y., Giorgianni, F., Ilyakov, I. E., Quan, B., Kovalev, S., Wang, C., Vicario, C., Deinert, J., Xiong, X., Bailey, J., et al. (2023) · National Science Review · doi:10.1093/nsr/nwad136 · Cited by 16 · see citing works
Feng, J. M., Fang, M., Deng, X., Li, Z., Xie, G., Huang, Z., & Wu, X. (2023) · IEEE Transactions on Antennas and Propagation · doi:10.1109/tap.2023.3340348 · Cited by 16 · see citing works
Enhancing the nonlinear response of plasmonic nanowire antennas by engineering their terminations
Hasan, S. B., Etrich, C., Filter, R., Rockstuhl, C., & Lederer, F. (2013) · Physical Review B · doi:10.1103/physrevb.88.205125 · Cited by 16 · see citing works
Yang, X., Zhang, C., Wan, M., Chen, Z., & Wang, Z. (2016) · Optics Letters · doi:10.1364/ol.41.002938 · Cited by 16 · see citing works
Theory of the optical-rectification effect in metallic thin films with periodic modulation
Kurosawa, H., Ohno, S., & Nakayama, K. (2017) · Physical Review A · doi:10.1103/physreva.95.033844 · Cited by 15 · see citing works
Guo, K., Zhang, Y., Qian, C., & Fung, K. H. (2018) · Optics Express · doi:10.1364/oe.26.011984 · Cited by 15 · see citing works
Guo, Y., & Zhou, J. H. (2014) · Optics Express · doi:10.1364/oe.22.027136 · Cited by 15 · see citing works
Halevi's extension of the Euler-Drude model for plasmonic systems
Wegner, G., Huynh, D.-N., Mortensen, N. A., Intravaia, F., & Busch, K. (2023) · Physical review. B./Physical review. B · doi:10.1103/physrevb.107.115425 · Cited by 14 · see citing works
Maximizing Nonlinear Optical Conversion in Plasmonic Nanoparticles through Ideal Absorption of Light
Butet, J., Yang, K.-Y., Dutta‐Gupta, S., & Martin, O. J. F. (2016) · ACS Photonics · doi:10.1021/acsphotonics.6b00031 · Cited by 14 · see citing works
Low-power nonlinear enhanced electromagnetic transmission of a subwavelength metallic aperture
Guo, Y., Liu, S., Bi, K., Lei, M., & Zhou, J. (2018) · Photonics Research · doi:10.1364/prj.6.001102 · Cited by 14 · see citing works
Enhanced magnetic second-harmonic generation in an ultra-compact plasmonic nanocavity
Wang, Y. S., Razdolski, I., Zhao, S., Yang, F., Liang, X. H., Kivshar, Y. S., & Lei, D. (2025) · Light Science & Applications · doi:10.1038/s41377-025-01962-3 · Cited by 13 · see citing works
Optomagnets in nonmagnetic plasmonic nanostructures
Karakhanyan, V., Lefier, Y., Eustache, C., & Grosjean, T. (2021) · Optics Letters · doi:10.1364/ol.411108 · Cited by 13 · see citing works
Recent Progress on Optical Frequency Conversion in Nonlinear Metasurfaces and Nanophotonics
Wang, C., Wen, Y., Sun, J., & Zhou, J. (2022) · ES Materials & Manufacturing · doi:10.30919/esmm5f655 · Cited by 12 · see citing works
Hybrid Nonlinear Metasurface Refractive Lens
Karepov, S., Angelis, C. D., & Ellenbogen, T. (2025) · Nano Letters · doi:10.1021/acs.nanolett.5c00178 · Cited by 11 · see citing works
FDTD for Hydrodynamic Electron Fluid Maxwell Equations
Zhao, Y., & Liu, J. (2015) · Photonics · doi:10.3390/photonics2020459 · Cited by 11 · see citing works
Enhancing artificial sum frequency generation from graphene-gold metamolecules
Yao, J. L., Cai, G., Liu, N., & Liu, Q. H. (2018) · Optics Letters · doi:10.1364/ol.43.003160 · Cited by 11 · see citing works
Lorentz Nanoplasmonics for Nonlinear Generation
Rahimi, E., Xu, H., Choi, B.-C., & Gordon, R. (2018) · Nano Letters · doi:10.1021/acs.nanolett.8b04257 · Cited by 11 · see citing works
Zhang, Y., Wei, C., Gao, F., Lei, D., & Yang, F. (2023) · Physical review. B./Physical review. B · doi:10.1103/physrevb.108.205408 · Cited by 11 · see citing works
- Authors
- Ciracì, C., Poutrina, E., Scalora, M., & Smith, D. R.
- Affiliations
- Duke University (US)
- United States Army Combat Capabilities Development Command (US)
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2012-05-15
- Volume
- 85
- Issue
- 20
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2078558572
- Cited by
- 188
- References
- 28
- Citations by year
- 2026: 7 · 2025: 13 · 2024: 6 · 2023: 12 · 2022: 20 · 2021: 14 · 2020: 8 · 2019: 20 · 2018: 24 · 2017: 20 · 2016: 14 · 2015: 11 · 2014: 8 · 2013: 7 · 2012: 4
- FWCI
- 3.70
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review B (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- 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 › Materials Science › Electronic, Optical and Magnetic Materials › Nonlinear Optical Materials Research
- Keywords
- second harmonic generation, split ring resonator, optical metamaterials, nonlinear optics, hydrodynamic model, bulk polarization, electric dipole response, magnetic response, nonlinear enhancement
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