[1] |
Shen Y R. The Principles of Nonlinear Optics[M]. New York: Wiley, 1984. |
[2] |
Boyd R W. Nonlinear Optics[M]. New York: Academic, 2008. |
[3] |
Armstrong J A, Bloembergen N, Ducuing J, et al. Interactions between light waves in a nonlinear dielectric [J]. Physical Review, 1962, 127(6): 1918-1939. |
[4] |
Fejer M M, Magel G A, Jundt D H, et al. Quasi-phase-matched 2nd harmonic-generation-tuning and tolerances [J]. IEEE Journal of Quantum Electronics, 1992, 28(11): 2631-2654. |
[5] |
Yamada M, Nada N, Saitoh M, et al. First‐order quasi‐phase matched linbo<sub>3</sub> waveguide periodically poled by applying an external field for efficient blue second‐harmonic generation [J]. Applied Physics Letters, 1993, 62(5): 435-436. |
[6] |
Myers L E, Eckardt R C, Fejer M M, et al. Quasi-phase-matched optical parametric oscillators in bulk periodically poled LiNbO<sub>3</sub> [J]. Journal of the Optical Society of America B-Optical Physics, 1995, 12(11): 2102-2116. |
[7] |
Kildishev A V, Boltasseva A, Shalaev V M. Planar photonics with metasurfaces [J]. Science, 2013, 339(6125): 1232009. |
[8] |
Meinzer N, Barnes W L, Hooper I R. Plasmonic meta-atoms and metasurfaces [J]. Nature Photonics, 2014, 8(12): 889-898. |
[9] |
Yu N F, Capasso F. Flat optics with designer metasurfaces [J]. Nature Materials, 2014, 13(2): 139-150. |
[10] |
Klein M W, Enkrich C, Wegener M, et al. Second-harmonic generation from magnetic metamaterials [J]. Science, 2006, 313(5786): 502-504. |
[11] |
Valev V K, Smisdom N, Silhanek A V, et al. Plasmonic ratchet wheels: Switching circular dichroism by arranging chiral nanostructures [J]. Nano Letters, 2009, 9(11): 3945-3948. |
[12] |
Husu H, Siikanen R, Makitalo J, et al. Metamaterials with tailored nonlinear optical response [J]. Nano Letters, 2012, 12(2): 673-677. |
[13] |
Celebrano M, Wu X, Baselli M, et al. Mode matching in multiresonant plasmonic nanoantennas for enhanced second harmonic generation [J]. Nature Nanotechnology, 2015, 10(5): 412-417. |
[14] |
Gui L, Bagheri S, Strohfeldt N, et al. Nonlinear refractory plasmonics with titanium nitride nanoantennas [J]. Nano Letters, 2016, 16(9): 5708-5713. |
[15] |
Liu S, Sinclair M B, Saravi S, et al. Resonantly enhanced second-harmonic generation using iii-v semiconductor all-dielectric metasurfaces [J]. Nano Letters, 2016, 16(9): 5426-5432. |
[16] |
Vabishchevich P P, Liu S, Sinclair M B, et al. Enhanced second-harmonic generation using broken symmetry iii–v semiconductor fano metasurfaces [J]. ACS Photonics, 2018, 5(5): 1685-1690. |
[17] |
Koshelev K, Kruk S, Melik-Gaykazyan E, et al. Subwavelength dielectric resonators for nonlinear nanophotonics [J]. Science, 2020, 367(6475): 288-292. |
[18] |
Lee J, Tymchenko M, Argyropoulos C, et al. Giant nonlinear response from plasmonic metasurfaces coupled to intersubband transitions [J]. Nature, 2014, 511(7507): 65-69. |
[19] |
Lee J, Nookala N, Gomez‐Diaz J S, et al. Ultrathin second‐harmonic metasurfaces with record-high nonlinear optical response [J]. Advanced Optical Materials, 2016, 4(5): 664-670. |
[20] |
Kang L, Cui Y H, Lan S F, et al. Electrifying photonic metamaterials for tunable nonlinear optics [J]. Nature Communications, 2014, 5(1): 4680. |
[21] |
Lee K-T, Taghinejad M, Yan J, et al. Electrically biased silicon metasurfaces with magnetic mie sesonance for tunable harmonic generation of light [J]. ACS Photonics, 2019, 6(11): 2663-2670. |
[22] |
Klein M W, Wegener M, Feth N, et al. Experiments on second- and third-harmonic generation from magnetic metamaterials [J]. Opt Express, 2007, 15(8): 5238-5247. |
[23] |
Hentschel M, Utikal T, Giessen H, et al. Quantitative modeling of the third harmonic emission spectrum of plasmonic nanoantennas [J]. Nano Letters, 2012, 12(7): 3778-3782. |
[24] |
Metzger B, Schumacher T, Hentschel M, et al. Third harmonic mechanism in complex plasmonic fano structures [J]. ACS Photonics, 2014, 1(6): 471-476. |
[25] |
Shcherbakov M R, Neshev D N, Hopkins B, et al. Enhanced third-harmonic generation in silicon nanoparticles driven by magnetic response [J]. Nano Letters, 2014, 14(11): 6488-6492. |
[26] |
Yang Y, Wang W, Boulesbaa A, et al. Nonlinear fano-resonant dielectric metasurfaces [J]. Nano Lett, 2015, 15(11): 7388-7393. |
[27] |
Shibanuma T, Grinblat G, Albella P, et al. Efficient third harmonic generation from metal-dielectric hybrid nanoantennas [J]. Nano Lett, 2017, 17(4): 2647-2651. |
[28] |
Xu L, Rahmani M, Zangeneh Kamali K, et al. Boosting third-harmonic generation by a mirror-enhanced anapole resonator [J]. Light Sci Appl, 2018, 7: 44. |
[29] |
Koshelev K, Tang Y, Li K, et al. Nonlinear metasurfaces governed by bound states in the continuum [J]. ACS Photonics, 2019, 6(7): 1639-1644. |
[30] |
Liu Z, Xu Y, Lin Y, et al. High-Q quasibound states in the continuum for nonlinear metasurfaces [J]. Physical Review Letters, 2019, 123(25): 253901. |
[31] |
Krausz F, Ivanov M. Attosecond physics [J]. Reviews of Modern Physics, 2009, 81(1): 163-234. |
[32] |
Corkum P B, Krausz F. Attosecond science [J]. Nature Physics, 2007, 3(6): 381-387. |
[33] |
Stolow A, Bragg A E, Neumark D M. Femtosecond time-resolved photoelectron spectroscopy [J]. Chemical Reviews, 2004, 104(4): 1719-1757. |
[34] |
Cavalieri A L, Mueller N, Uphues T, et al. Attosecond spectroscopy in condensed matter [J]. Nature, 2007, 449(7165): 1029-1032. |
[35] |
He R, Lin Z S, Zheng T, et al. Energy band gap engineering in borate ultraviolet nonlinear optical crystals: Ab initio studies [J]. Journal of Physics-Condensed Matter, 2012, 24(14): 145503. |
[36] |
Wu M, Ghimire S, Reis D A, et al. High-harmonic generation from bloch electrons in solids [J]. Physical Review A, 2015, 91(4): 043839. |
[37] |
Ghimire S, Reis D A. High-harmonic generation from solids [J]. Nature Physics, 2019, 15(1): 10-16. |
[38] |
Kim S, Jin J, Kim Y-J, et al. High-harmonic generation by resonant plasmon field enhancement [J]. Nature, 2008, 453(7196): 757-760. |
[39] |
Sivis M, Duwe M, Abel B, et al. Extreme-ultraviolet light generation in plasmonic nanostructures [J]. Nature Physics, 2013, 9(5): 304-309. |
[40] |
Han S, Kim H, Kim Y W, et al. High-harmonic generation by field enhanced femtosecond pulses in metal-sapphire nanostructure [J]. Nature Communications, 2016, 7(1): 13105. |
[41] |
Vampa G, Ghamsari B G, Siadat Mousavi S, et al. Plasmon-enhanced high-harmonic generation from silicon [J]. Nature Physics, 2017, 13(7): 659-662. |
[42] |
Liu H, Guo C, Vampa G, et al. Enhanced high-harmonic generation from an all-dielectric metasurface [J]. Nature Physics, 2018, 14(10): 1006-1010. |
[43] |
Liu S, Vabishchevich P P, Vaskin A, et al. An all-dielectric metasurface as a broadband optical frequency mixer [J]. Nature Communications, 2018, 9(1): 2507. |
[44] |
Zhang X C, Xu J. Introduction to THz Wave Photonics[M]. New York: Springer, 2010. |
[45] |
Nahata A, Weling A S, Heinz T F. A wideband coherent terahertz spectroscopy system using optical rectification and electro-optic sampling [J]. Applied Physics Letters, 1996, 69(16): 2321-2323. |
[46] |
Wu Q, Litz M, Zhang X C. Broadband detection capability of znte electro-optic field detectors [J]. Applied Physics Letters, 1996, 68(21): 2924-2926. |
[47] |
Yeh K L, Hoffmann M C, Hebling J, et al. Generation of 10 μJ ultrashort terahertz pulses by optical rectification [J]. Applied Physics Letters, 2007, 90(17): 171121. |
[48] |
Blanchard F, Sharma G, Razzari L, et al. Generation of intense terahertz radiation via optical methods [J]. IEEE Journal of Selected Topics in Quantum Electronics, 2011, 17(1): 5-16. |
[49] |
Tani M, Fukasawa R, Abe H, et al. Terahertz radiation from coherent phonons excited in semiconductors [J]. Journal of Applied Physics, 1998, 83(5): 2473-2477. |
[50] |
Luo L, Chatzakis I, Wang J, et al. Broadband terahertz generation from metamaterials [J]. Nature Communications, 2014, 5(1): 3055. |
[51] |
Fang M, Niu K, Huang Z, et al. Investigation of broadband terahertz generation from metasurface [J]. Opt Express, 2018, 26(11): 14241-14250. |
[52] |
Berry M V. Quantal phase-factors accompanying adiabatic changes [J]. Proceedings of the Royal Society of London Series a-Mathematical and Physical Sciences, 1984, 392(1802): 45-57. |
[53] |
Pancharatnam S. Generalized theory of interference and its applications. I. Coherent pensils [J]. Proceedings of the Indian Academy of Sciences, Section A, 1956, 44(5): 247-262. |
[54] |
Li G X, Chen S M, Pholchai N, et al. Continuous control of the nonlinearity phase for harmonic generations [J]. Nature Materials, 2015, 14(6): 607-612. |
[55] |
Wang L, Kruk S, Koshelev K, et al. Nonlinear wavefront control with all-dielectric metasurfaces [J]. Nano Lett, 2018, 18(6): 3978-3984. |
[56] |
Ye W M, Zeuner F, Li X, et al. Spin and wavelength multiplexed nonlinear metasurface holography [J]. Nature Communications, 2016, 7(1): 11930. |
[57] |
Almeida E, Bitton O, Prior Y. Nonlinear metamaterials for holography [J]. Nature Communications, 2016, 7(1): 12533. |
[58] |
Gao Y, Fan Y, Wang Y, et al. Nonlinear holographic all-dielectric metasurfaces [J]. Nano Letters, 2018, 18(12): 8054-8061. |
[59] |
Reineke B, Sain B, Zhao R, et al. Silicon metasurfaces for third harmonic geometric phase manipulation and multiplexed holography [J]. Nano Letters, 2019, 19(9): 6585-6591. |
[60] |
Li Z, Liu W, Li Z, et al. Tripling the capacity of optical vortices by nonlinear metasurface [J]. Laser & Photonics Reviews, 2018, 12(11): 1800164. |
[61] |
Zang W, Qin Z, Yang X, et al. Polarization generation and manipulation based on nonlinear plasmonic metasurfaces [J]. Advanced Optical Materials, 2019, 7(10). |
[62] |
Almeida V R, Barrios C A, Panepucci R R, et al. All-optical control of light on a silicon chip [J]. Nature, 2004, 431(7012): 1081-1084. |
[63] |
Pelc J S, Rivoire K, Vo S, et al. Picosecond all-optical switching in hydrogenated amorphous silicon microring resonators [J]. Opt Express, 2014, 22(4): 3797-3810. |
[64] |
Shcherbakov M R, Vabishchevich P P, Shorokhov A S, et al. Ultrafast all-optical switching with magnetic resonances in nonlinear dielectric nanostructures [J]. Nano Lett, 2015, 15(10): 6985-6990. |
[65] |
Del Fatti N, Bouffanais R, Vallee F, et al. Nonequilibrium electron interactions in metal films [J]. Physical Review Letters, 1998, 81(4): 922-925. |
[66] |
Sun C K, Vallee F, Acioli L, et al. Femtosecond investigation of electron thermalization in gold [J]. Physical Review B, 1993, 48(16): 12365-12368. |
[67] |
Baida H, Mongin D, Christofilos D, et al. Ultrafast nonlinear optical response of a single gold nanorod near its surface plasmon resonance [J]. Physical Review Letters, 2011, 107(5): 057402. |
[68] |
Wurtz G A, Pollard R, Hendren W, et al. Designed ultrafast optical nonlinearity in a plasmonic nanorod metamaterial enhanced by nonlocality [J]. Nature Nanotechnology, 2011, 6(2): 106-110. |
[69] |
Ren M X, Jia B H, Ou J Y, et al. Nanostructured plasmonic medium for terahertz bandwidth all-optical switching [J]. Adv Mater, 2011, 23(46): 5540-5544. |
[70] |
Taghinejad M, Taghinejad H, Xu Z, et al. Hot-electron-assisted femtosecond all-optical modulation in plasmonics [J]. Adv Mater, 2018, 30(9): 1704915. |
[71] |
Caspani L, Kaipurath R P, Clerici M, et al. Enhanced nonlinear refractive index in epsilon-near-zero materials [J]. Phys Rev Lett, 2016, 116(23): 233901. |
[72] |
Alam M Z, De Leon I, Boyd R W. Large optical nonlinearity of indium tin oxide in its epsilon-near-zero region [J]. Science, 2016, 352(6287): 795-797. |
[73] |
Kinsey N, DeVault C, Kim J, et al. Epsilon-near-zero al-doped zno for ultrafast switching at telecom wavelengths [J]. Optica, 2015, 2(7): 616-622. |
[74] |
Clerici M, Kinsey N, DeVault C, et al. Controlling hybrid nonlinearities in transparent conducting oxides via two-colour excitation [J]. Nature Communications, 2017, 8(1): 15829. |
[75] |
Yang Y M, Kelley K, Sachet E, et al. Femtosecond optical polarization switching using a cadmium oxide-based perfect absorber [J]. Nature Photonics, 2017, 11(6): 390-395. |
[76] |
Alam M Z, Schulz S A, Upham J, et al. Large optical nonlinearity of nanoantennas coupled to an epsilon-near-zero material [J]. Nature Photonics, 2018, 12(2): 79-83. |
[77] |
Wang J, Coillet A, Demichel O, et al. Saturable plasmonic metasurfaces for laser mode locking [J]. Light Sci Appl, 2020, 9: 50. |
[78] |
Hughes T W, Minkov M, Williamson I A D, et al. Adjoint method and inverse design for nonlinear nanophotonic devices [J]. ACS Photonics, 2018, 5(12): 4781-4787. |
[79] |
Lin Z, Liang X, Loncar M, et al. Cavity-enhanced second-harmonic generation via nonlinear-overlap optimization [J]. Optica, 2016, 3(3): 233-238. |
[80] |
Lei X, Rahmani M, Yixuan M, et al. Enhanced light-matter interactions in dielectric nanostructures via machine-learning approach [J]. Advanced Photonics, 2020, 2(2): 026003. |
[81] |
Marino G, Solntsev A S, Xu L, et al. Spontaneous photon-pair generation from a dielectric nanoantenna [J]. Optica, 2019, 6(11): 1416. |
[82] |
Keren-Zur S, Tal M, Fleischer S, et al. Generation of spatiotemporally tailored terahertz wavepackets by nonlinear metasurfaces [J]. Nature Communications, 2019, 10(1): 1778. |
[83] |
Sivis M, Taucer M, Vampa G, et al. Tailored semiconductors for high-harmonic optoelectronics [J]. Science, 2017, 357(6348): 303-306. |