[1] [1] Singh D. Fundamentals of Optics. 2nd ed. New Delhi: Prentice Hall India Pvt. Ltd; 2015. p. 452–518.

[2] [2] He C, He H, Chang J, Chen B, Ma H, Booth MJ. Polarisation optics for biomedical and clinical applications: a review. Light Sci Appl. 2021;10:194.10.1038/s41377-021-00639-x

[3] [3] Yoon G, Tanaka T, Zentgraf T, Rho J. Recent progress on metasurfaces: applications and fabrication. J Phys D Appl Phys. 2021;54: 383002.10.1088/1361-6463/ac0faa

[4] [4] Leitis A, Tseng ML, John-Herpin A, Kivshar YS, Altug H. Wafer-Scale Functional Metasurfaces for Mid-Infrared Photonics and Biosensing. Adv Mater. 2021;33:2102232.10.1002/adma.202102232

[5] [5] Geng G, Zhu W, Pan R, Zhang Z, Gu C, Li J. Precise tailoring of multiple nanostructures based on atomic layer assembly via versatile soft-templates. Nano Today. 2021;38: 101145.10.1016/j.nantod.2021.101145

[6] [6] Pan R, Li Z, Liu Z, Zhu W, Zhu L, Li Y, Chen S, Gu C, Li J. Rapid bending origami in micro/nanoscale toward a versatile 3D metasurface. Laser Photonics Rev. 2020;14:1900179.10.1002/lpor.201900179

[7] [7] Su VC, Chu CH, Sun G, Tsai DP. Advances in optical metasurfaces: fabrication and applications. Opt Express. 2018;26:13148–82.10.1364/OE.26.013148

[8] [8] Chen S, Li Z, Liu W, Cheng H, Tian J. From single-dimensional to multidimensional manipulation of optical waves with metasurfaces. Adv Mater. 2019;31:1802458.10.1002/adma.201802458

[9] [9] Dorrah AH, Capasso F. Tunable structured light with flat optics. Science. 2022;376:eabi6860.10.1126/science.abi6860

[10] [10] Neshev D, Aharonovich I. Optical metasurfaces: new generation building blocks for multi-functional optics. Light Sci Appl. 2018;7:58.10.1038/s41377-018-0058-1

[11] [11] Luo X. Subwavelength artificial structures: opening a new era for engineering optics. Adv Mater. 2019;31:1804680.10.1002/adma.201804680

[12] [12] Chen HT, Taylor AJ, Yu N. A review of metasurfaces: physics and applications. Rep Prog Phys. 2016;79: 076401.10.1088/0034-4885/79/7/076401

[13] [13] Hsiao HH, Chu CH, Tsai DP. Fundamentals and applications of metasurfaces. Small Methods. 2017;1:1600064.10.1002/smtd.201600064

[14] [14] Kamali SM, Arbabi E, Arbabi A, Faraon A. A review of dielectric optical metasurfaces for wavefront control. Nanophotonics. 2018;7:1041–68.10.1515/nanoph-2017-0129

[15] [15] Koshelev K, Kivshar Y. Dielectric resonant metaphotonics. ACS Photonics. 2020;8:102–12.10.1021/acsphotonics.0c01315

[16] [16] Yu N, Capasso F. Flat optics with designer metasurfaces. Nat Mater. 2014;13:139–50.10.1038/nmat3839

[17] [17] Pors A, Nielsen MG, Della Valle G, Willatzen M, Albrektsen O, Bozhevolnyi SI. Plasmonic metamaterial wave retarders in reflection by orthogonally oriented detuned electrical dipoles. Opt Lett. 2011;36:1626–8.10.1364/OL.36.001626

[18] [18] Ding F, Wang Z, He S, Shalaev VM, Kildishev AV. Broadband high-efficiency half-wave plate: a supercell-based plasmonic metasurface approach. ACS Nano. 2015;9:4111–9.10.1021/acsnano.5b00218

[19] [19] Yu N, Aieta F, Genevet P, Kats MA, Gaburro Z, Capasso F. A broadband, background-free quarter-wave plate based on plasmonic metasurfaces. Nano Lett. 2012;12:6328–33.10.1021/nl303445u

[20] [20] Khan MI, Tahir FA. A compact half and quarter-wave plate based on bi-layer anisotropic metasurface. J Phys D Appl Phys. 2017;50:43LT04.10.1088/1361-6463/aa86d6

[21] [21] Ma Z, Hanham M, Gong Y, Hong M. All-dielectric reflective half-wave plate metasurface based on the anisotropic excitation of electric and magnetic dipole resonances. Opt Lett. 2018;43:911–4.10.1364/OL.43.000911

[22] [22] Chen Y, Gao J, Yang X. Direction-controlled bifunctional metasurface polarizers. Laser Photonics Rev. 2018;12:1800198.10.1002/lpor.201800198

[23] [23] Kurosawa H, Choi B, Sugimoto Y, Iwanaga M. High-performance metasurface polarizers with extinction ratios exceeding 12000. Opt Express. 2017;25:4446–55.10.1364/OE.25.004446

[24] [24] Jiang SC, Xiong X, Hu YS, Hu YH, Ma GB, Peng RW, Sun C, Wang M. Controlling the polarization state of light with a dispersion-free metastructure. Phys Rev X. 2014;4: 021026.

[25] [25] Zhao Y, Alù A. Tailoring the dispersion of plasmonic nanorods to realize broadband optical meta-waveplates. Nano Lett. 2013;13:1086–91.10.1021/nl304392b

[26] [26] Li Z, Liu W, Cheng H, Chen S, Tian J. Realizing broadband and invertible linear-to-circular polarization converter with ultrathin single-layer metasurface. Sci Rep. 2015;5:18106.10.1038/srep18106

[27] [27] Huang CP, Zhang Y, Wang YL, Kong LB. Arbitrarily directional and tunable polarization rotating effect with coupled metal screens. Phys Rev Appl. 2018;10: 064038.10.1103/PhysRevApplied.10.064038

[28] [28] Li Z, Liu W, Cheng H, Chen S, Tian J. Spin-selective transmission and devisable chirality in two-layer metasurfaces. Sci Rep. 2017;7:8204.10.1038/s41598-017-08527-4

[29] [29] Chen S, Liu W, Li Z, Cheng H, Tian J. Metasurface-empowered optical multiplexing and multifunction. Adv Mater. 2020;32:1805912.10.1002/adma.201805912

[30] [30] Dong F, Chu W. Multichannel-independent information encoding with optical metasurfaces. Adv Mater. 2019;31:1804921.10.1002/adma.201804921

[31] [31] Deng ZL, Wang ZQ, Li FJ, Hu MX, Li X. Multi-freedom metasurface empowered vectorial holography Nanophotonics. 2022;11:1725–39.

[32] [32] Zhang Z, Wen D, Zhang C, Chen M, Wang W, Chen S, Chen X. Multifunctional light sword metasurface lens. ACS Photonics. 2018;5:1794–9.10.1021/acsphotonics.7b01536

[33] [33] Zhao H, Zhang C, Guo J, Liu S, Chen X, Zhang Y. Metasurface hologram for multi-image hiding and seeking. Phys Rev Appl. 2019;12: 054011.10.1103/PhysRevApplied.12.054011

[34] [34] Badloe T, Seong J, Rho J. Trichannel spin-selective metalenses. Nano Lett. 2023;2:6958–65.10.1021/acs.nanolett.3c01588

[35] [35] Kang H, Kim H, Kim K, Rho J. Printable Spin-Multiplexed Metasurfaces for Ultraviolet Holographic Displays. ACS Nano. 2024;18:21504–11.10.1021/acsnano.4c06280

[36] [36] Zhang Y, Pu M, Jin J, Lu X, Guo Y, Cai J, Zhang F, Ha Y, He Q, Xu M, Li X, Ma X, Luo X. Crosstalk-free achromatic full Stokes imaging polarimetry metasurface enabled by polarization-dependent phase optimization. Opto-Electron Adv. 2022;5:220058–61.10.29026/oea.2022.220058

[37] [37] Yang F, Lin HI, Shalaginov MY, Stoll K, An S, Rivero-Baleine C, Kang M, Agarwal A, Richardson K, Zhang H, Hu J, Gu T. Reconfigurable parfocal zoom metalens. Adv Opt Mater. 2022;10:2200721.10.1002/adom.202200721

[38] [38] Yang F, Lin HI, Chen P, Hu J, Gu T. Monocular depth sensing using metalens Nanophotonics. 2023;12:2987–96.

[39] [39] Pors A, Nielsen MG, Bozhevolnyi SI. Plasmonic metagratings for simultaneous determination of Stokes parameters. Optica. 2015;2:716–23.10.1364/OPTICA.2.000716

[40] [40] Intaravanne Y, Chen X. Recent advances in optical metasurfaces for polarization detection and engineered polarization profiles. Nanophotonics. 2020;9:1003–14.10.1515/nanoph-2019-0479

[41] [41] Bai J, Yao Y. Highly efficient anisotropic chiral plasmonic metamaterials for polarization conversion and detection. ACS Nano. 2021;15:14263–74.10.1021/acsnano.1c02278

[42] [42] Wang R, Han J, Liu J, Tian H, Sun W, Li L, Chen X. Multi-foci metalens for terahertz polarization detection. Opt Lett. 2020;45:3506–9.10.1364/OL.395580

[43] [43] Shah YD, Dada AC, Grant JP, Cumming DR, Altuzarra C, Nowack TS, Lyons A, Clerici M, Faccio D. An all-dielectric metasurface polarimeter. ACS Photonics. 2022;9:3245–52.10.1021/acsphotonics.2c00395

[44] [44] Li Z, Liu W, Cheng H, Chen S. Few-layer metasurfaces with arbitrary scattering properties. Sci China Phys Mech. 2020;63: 284202.10.1007/s11433-020-1583-3

[45] [45] Chen K, Ding G, Hu G, Jin Z, Zhao J, Feng Y, Jiang T, Alù A, Qiu CW. Directional janus metasurface. Adv Mater. 2020;32:1906352.10.1002/adma.201906352

[46] [46] Liu W, Li Z, Ansari MA, Cheng H, Tian J, Chen X, Chen S. Design strategies and applications of dimensional optical field manipulation based on metasurfaces. Adv Mater. 2023;35:2208884.10.1002/adma.202208884

[47] [47] Yu S, Cheng J, Li Z, Liu W, Cheng H, Tian J, Chen S. Electromagnetic wave manipulation based on few-layer metasurfaces and polyatomic metasurfaces. ChemPhysMater. 2022;1:6.10.1016/j.chphma.2021.09.001

[48] [48] Kim I, Jang J, Kim G, Lee J, Badloe T, Mun J, Rho J. Pixelated bifunctional metasurface-driven dynamic vectorial holographic color prints for photonic security platform. Nat Commun. 2021;12:3614.10.1038/s41467-021-23814-5

[49] [49] Guo X, Zhong J, Li B, Qi S, Li Y, Li P, Wen D, Liu S, Wei B, Zhao J. Full-color holographic display and encryption with full-polarization degree of freedom. Adv Mater. 2022;34:2103192.10.1002/adma.202103192

[50] [50] Bao Y, Nan F, Yan J, Yang X, Qiu CW, Li B. Observation of full-parameter Jones matrix in bilayer metasurface. Nat Commun. 2022;13:7550.10.1038/s41467-022-35313-2

[51] [51] Xiong B, Liu Y, Xu Y, Deng L, Chen CW, Wang JN, Peng R, Lai Y, Liu Y, Wang M. Breaking the limitation of polarization multiplexing in optical metasurfaces with engineered noise. Science. 2023;379:294–9.10.1126/science.ade5140

[52] [52] Menzel C, Rockstuhl C, Lederer F. Advanced Jones calculus for the classification of periodic metamaterials. Phys Rev A. 2010;82: 053811.10.1103/PhysRevA.82.053811

[53] [53] Arbabi A, Horie Y, Bagheri M, Faraon A. Dielectric metasurfaces for complete control of phase and polarization with subwavelength spatial resolution and high transmission. Nat Nanotech. 2015;10:937–43.10.1038/nnano.2015.186

[54] [54] Mueller JB, Rubin NA, Devlin RC, Groever B, Capasso F. Metasurface polarization optics: independent phase control of arbitrary orthogonal states of polarization. Phys Rev Lett. 2017;118: 113901.10.1103/PhysRevLett.118.113901

[55] [55] Jing L, Wang Z, Yang Y, Shen L, Zheng B, Gao F, Wang H, Li E, Chen H. Diodelike spin-orbit interactions of light in chiral metasurfaces. IEEE T Antenn Propag. 2018;66:7148–55.10.1109/TAP.2018.2874705

[56] [56] Rubin NA, D’Aversa G, Chevalier P, Shi Z, Chen WT, Capasso F. Matrix Fourier optics enables a compact full-Stokes polarization camera. Science. 2019;365:eaax1839.10.1126/science.aax1839

[57] [57] Raeker BO, Grbic A. Compound metaoptics for amplitude and phase control of wave fronts. Phys Rev Lett. 2019;122: 113901.10.1103/PhysRevLett.122.113901

[58] [58] Bao Y, Wen L, Chen Q, Qiu CW, Li B. Toward the capacity limit of 2D planar Jones matrix with a single-layer metasurface. Sci Adv. 2021;7:eabh0365.10.1126/sciadv.abh0365

[59] [59] Bao Y, Ni J, Qiu CW. A minimalist single-layer metasurface for arbitrary and full control of vector vortex beams. Adv Mater. 2019;32:1905659.10.1002/adma.201905659

[60] [60] Li Z, Liu W, Ma D, Yu S, Cheng H, Choi DY, Tian J, Chen S. Inverse Design of Few-Layer Metasurfaces Empowered by the Matrix Theory of Multilayer Optics. Phys Rev Appl. 2022;17: 024008.10.1103/PhysRevApplied.17.024008

[61] [61] Ma W, Liu Z, Kudyshev ZA, Boltasseva A, Cai W, Liu Y. Deep learning for the design of photonic structures. Nat Photonics. 2021;15:77–90.10.1038/s41566-020-0685-y

[62] [62] Liu Z, Zhu D, Rodrigues SP, Lee KT, Cai W. Generative model for the inverse design of metasurfaces. Nano Lett. 2018;18:6570–6.10.1021/acs.nanolett.8b03171

[63] [63] Ma W, Cheng F, Liu Y. Deep-learning-enabled on-demand design of chiral metamaterials. ACS Nano. 2018;12:6326–34.10.1021/acsnano.8b03569

[64] [64] Zhu D, Liu Z, Raju L, Kim AS, Cai W. Building multifunctional metasystems via algorithmic construction. ACS Nano. 2021;15:2318–26.10.1021/acsnano.0c09424

[65] [65] Trisno J, Wang H, Wang HT, Ng RJ, Daqiqeh Rezaei S, Yang JK. Applying machine learning to the optics of dielectric nanoblobs. Adv Photonics Res. 2020;1:2000068.10.1002/adpr.202000068

[66] [66] Zhang Y, Cheng Y, Chen M, Xu R, Yuan L. Ultracompact metaimage display and encryption with a silver nanopolarizer based metasurface. Appl Phys Lett. 2020;117: 021105.10.1063/5.0014987

[67] [67] Dai Q, Zhou N, Deng L, Deng J, Li Z, Zheng G. Dual-channel binary gray-image display enabled with malus-assisted metasurfaces. Phys Rev Appl. 2020;14: 034002.10.1103/PhysRevApplied.14.034002

[68] [68] Deng Y, Cai Z, Ding Y, Bozhevolnyi SI, Ding F. Recent progress in metasurface-enabled optical waveplates. Nanophotonics. 2022;11:2219–44.10.1515/nanoph-2022-0030

[69] [69] Liu Z, Li Z, Liu Z, Li J, Cheng H, Yu P, Liu W, Tang C, Gu C, Li J, Chen S, Tian J. High performance broadband circularly polarized beam deflector by mirror effect of multi-nanorod metasurfaces. Adv Funct Mater. 2015;25:5428.10.1002/adfm.201502046

[70] [70] Li Z, Liu W, Cheng H, Choi DY, Chen S, Tian J. Arbitrary manipulation of light intensity by bilayer aluminum metasurfaces. Adv Opt Mater. 2019;7:1900260.10.1002/adom.201900260

[71] [71] Zang X, Liu S, Cheng Q, Xie J, Zhu Y, Wang Y. Lower-order-symmetry induced bandwidth-controllable terahertz polarization converter. J Opt. 2017;19: 115103.10.1088/2040-8986/aa8b90

[72] [72] Hu S, Yang S, Liu Z, Li J, Gu C. Broadband cross-polarization conversion by symmetry-breaking ultrathin metasurfaces. Appl Phys Lett. 2017;111: 241108.10.1063/1.5006540

[73] [73] Lin B, Wang B, Meng W, Da X, Li W, Fang Y, Zhu Z. Dual-band high-efficiency polarization converter using an anisotropic metasurface. J Appl Phys. 2016;119: 183103.10.1063/1.4948957

[74] [74] Xu J, Li R, Wang S, Han T. Ultra-broadband linear polarization converter based on anisotropic metasurface. Opt Express. 2018;26:26235–41.10.1364/OE.26.026235

[75] [75] Dong G, Shi H, Xia S, Zhang A, Xu Z, Wei X. Ultra-broadband perfect cross polarization conversion metasurface. Opt Commun. 2016;365:108–12.10.1016/j.optcom.2015.11.025

[76] [76] Liu W, Chen S, Li Z, Cheng H, Yu P, Li J, Tian J. Realization of broadband cross-polarization conversion in transmission mode in the terahertz region using a single-layer metasurface. Opt Lett. 2015;40:3185.10.1364/OL.40.003185

[77] [77] Lévesque Q, Makhsiyan M, Bouchon P, Pardo F, Jaeck J, Bardou N, Dupuis C, Haidar R, Pelouard JL. Plasmonic planar antenna for wideband and efficient linear polarization conversion. Appl Phys Lett. 2014;104: 111105.10.1063/1.4869127

[78] [78] Huang CP. Efficient and broadband polarization conversion with the coupled metasurfaces. Opt Express. 2015;23:32015–24.10.1364/OE.23.032015

[79] [79] Grady NK, Heyes JE, Chowdhury DR, Zeng Y, Reiten MT, Azad AK, Taylor AJ, Dalvit DAR, Chen HT. Terahertz metamaterials for linear polarization conversion and anomalous refraction. Science. 2013;340:1304–7.10.1126/science.1235399

[80] [80] Zhao Y, Alù A. Manipulating light polarization with ultrathin plasmonic metasurfaces. Phys Rev B. 2011;84: 205428.10.1103/PhysRevB.84.205428

[81] [81] Yu P, Li J, Tang C, Cheng H, Liu Z, Li Z, Liu Z, Gu C, Li J, Chen S, Tian J. Controllable optical activity with non-chiral plasmonic metasurfaces. Light Sci Appl. 2016;5: e16096.10.1038/lsa.2016.96

[82] [82] Arbabi A, Faraon A. Fundamental limits of ultrathin metasurfaces. Sci Rep. 2017;7:43722.10.1038/srep43722

[83] [83] Nakata Y, Taira Y, Nakanishi T, Miyamaru F. Freestanding transparent terahertz half-wave plate using subwavelength cut-wire pairs. Opt Express. 2017;25:2107–14.10.1364/OE.25.002107

[84] [84] Kruk S, Hopkins B, Kravchenko II, Miroshnichenko A, Neshev DN, Kivshar YS. Broadband highly efficient dielectric metadevices for polarization control. APL Photonics. 2016;1: 030801.10.1063/1.4949007

[85] [85] Hu Y, Wang X, Luo X, Ou X, Li L, Chen Y, Yang P, Wang S, Duan H. All-dielectric metasurfaces for polarization manipulation: principles and emerging applications. Nanophotonics. 2020;9:3755–80.10.1515/nanoph-2020-0220

[86] [86] Li Z, Liu W, Cheng H, Chen S, Tian J. Manipulation of the photonic spin Hall effect with high efficiency in gold-nanorod-based metasurfaces. Adv Opt Mater. 2017;5:1700413.10.1002/adom.201700413

[87] [87] Cheng H, Chen S, Yu P, Li J, Deng L, Tian J. Mid-infrared tunable optical polarization converter composed of asymmetric graphene nanocrosses. Opt Lett. 2013;38:1567.10.1364/OL.38.001567

[88] [88] Li J, Yu P, Cheng H, Liu W, Li Z, Xie B, Chen S, Tian J. Optical polarization encoding using graphene-loaded plasmonic metasurfaces. Adv Opt Mater. 2016;4:91.10.1002/adom.201500398

[89] [89] Yu P, Li J, Liu N. Electrically tunable optical metasurfaces for dynamic polarization conversion. Nano Lett. 2021;21:6690–5.10.1021/acs.nanolett.1c02318

[90] [90] Qiu M, Jia M, Ma S, Sun S, He Q, Zhou L. Angular dispersions in terahertz metasurfaces: physics and applications. Phys Rev Appl. 2018;9: 054050.10.1103/PhysRevApplied.9.054050

[91] [91] Shi Z, Zhu AY, Li Z, Huang YW, Chen WT, Qiu CW, Capasso F. Continuous angle-tunable birefringence with freeform metasurfaces for arbitrary polarization conversion. Sci Adv. 2020;6:eaba3367.10.1126/sciadv.aba3367

[92] [92] Wang EW, Yu SJ, Phan T, Dhuey S, Fan JA. Arbitrary achromatic polarization control with reconfigurable metasurface systems. Laser Photonics Rev. 2023;17:2200926.10.1002/lpor.202200926

[93] [93] Wang S, Wen S, Deng ZL, Li X, Yang Y. Metasurface-Based Solid Poincaré Sphere Polarizer. Phys Rev Lett. 2023;130: 123801.10.1103/PhysRevLett.130.123801

[94] [94] Fu R, Chen K, Li Z, Yu S, Zheng G. Metasurface-based nanoprinting: principle, design and advances. Opto-Electron Sci. 2022;1: 220011.10.29026/oes.2022.220011

[95] [95] Yue F, Zhang C, Zang XF, Wen D, Gerardot BD, Zhang S, Chen X. High-resolution grayscale image hidden in a laser beam. Light Sci Appl. 2018;7:17129.10.1038/lsa.2017.129

[96] [96] Deng J, Li Z, Li J, Zhou Z, Gao F, Qiu C, Yan B. Metasurface-Assisted Optical Encryption Carrying Camouflaged Information. Adv Opt Mater. 2022;10:2200949.10.1002/adom.202200949

[97] [97] Li Z, Ren R, Deng J, Deng L, Li G, Zheng G. Non-orthogonal-polarization multiplexed metasurfaces for tri-channel gray-imaging. Opt Express. 2021;29:134–44.10.1364/OE.415403

[98] [98] Wang Z, Cheng F, Winsor T, Liu Y. Optical chiral metamaterials: a review of the fundamentals, fabrication methods and applications. Nanotechnology. 2016;27: 412001.10.1088/0957-4484/27/41/412001

[99] [99] Li Z, Liu W, Cheng H, Choi DY, Chen S, Tian J. Spin-selective full-dimensional manipulation of optical waves with chiral mirror. Adv Mater. 2020;32:1907983.10.1002/adma.201907983

[100] [100] Cheng J, Li Z, Choi DY, Yu S, Liu W, Wang H, Zhang Y, Cheng H, Tian J, Chen S. Spin-selective full and subtle light intensity manipulation with diatomic metasurfaces. Adv Opt Mater. 2023;10:2202329.10.1002/adom.202202329

[101] [101] Dai Q, Guan Z, Chang S, Deng L, Tao J, Li Z, Li Z, Yu S, Zheng G, Zhang S. A single-celled Tri-functional metasurface enabled with triple manipulations of light. Adv Funct Mater. 2020;30:2003990.10.1002/adfm.202003990

[102] [102] Cao Y, Tang L, Li J, Wang J, Dong ZG. Dual-wavelength complementary grayscale imaging by an ultrathin metasurface. Opt Lett. 2020;45:5181–4.10.1364/OL.403229

[103] [103] Proust J, Bedu F, Gallas B, Ozerov I, Bonod N. All-dielectric colored metasurfaces with silicon Mie resonators. ACS Nano. 2016;10:7761–7.10.1021/acsnano.6b03207

[104] [104] Li Z, Dai Q, Deng L, Zheng G, Li G. Structural-color nanoprinting with hidden watermarks. Opt Lett. 2021;46:480–3.10.1364/OL.417026

[105] [105] Dai Q, Zhu G, Zhang W, Li J, Li Z, Cui H, Wei K, He Z, Guan Z, Zheng G. Dual-channel anticounterfeiting color-nanoprinting with a single-size nanostructured metasurface. Opt Express. 2022;30:33574–87.10.1364/OE.469919

[106] [106] Kristensen A, Yang JK, Bozhevolnyi SI, Link S, Nordlander P, Halas NA, Mortensen NA. Plasmonic colour generation Nat Rev Mater. 2016;2:1–14.

[107] [107] Zhang X, Cheng J, Yue W, Li Z, Choi DY, Li Y, Li H, Lee S, Chen S, Gao S. Twofold optical display and encryption of binary and grayscale images with a wavelength-multiplexed metasurface. Nanophotonics. 2023;12:3747–56.10.1515/nanoph-2023-0324

[108] [108] Koirala I, Shrestha VR, Park CS, Lee SS, Choi DY. Polarization-controlled broad color palette based on an ultrathin one-dimensional resonant grating structure. Sci Rep. 2017;7:40073.10.1038/srep40073

[109] [109] Kim M, Kim I, Jang J, Lee D, Nam KT, Rho J. Active color control in a metasurface by polarization rotation. Appl Sci. 2018;8:982.10.3390/app8060982

[110] [110] Yang B, Liu W, Li Z, Cheng H, Chen S, Tian J. Polarization-sensitive structural colors with hue-and-saturation tuning based on all-dielectric nanopixels. Adv Opt Mater. 2018;6:1701009.10.1002/adom.201701009

[111] [111] Ellenbogen T, Seo K, Crozier KB. Chromatic plasmonic polarizers for active visible color filtering and polarimetry. Nano Lett. 2012;12:1026–31.10.1021/nl204257g

[112] [112] Heydari E, Sperling JR, Neale SL, Clark AW. Plasmonic Color Filters as Dual-State Nanopixels for High-Density Microimage Encoding. Adv Funct Mater. 2017;27:1701866.10.1002/adfm.201701866

[113] [113] Liu HL, Zhang B, Gao T, Wu X, Cui F, Xu W. 3D chiral color prints for anti-counterfeiting. Nanoscale. 2019;11:5506–11.10.1039/C8NR09975H

[114] [114] Wang L, Wang T, Yan R, Yue X, Wang H, Wang Y, Zhang J, Yuan X, Zeng J, Wang J. Color Printing and Encryption with Polarization-Switchable Structural Colors on All-Dielectric Metasurfaces. Nano Lett. 2023;23:5581–7.10.1021/acs.nanolett.3c01007

[115] [115] Daqiqeh Rezaei S, Dong Z, Chan JYE, Trisno J, Ng RJH, Ruan Q, Qiu CW, Mortensen NA, Yang JK. Nanophotonic structural colors. ACS Photonics. 2020;8:18–33.10.1021/acsphotonics.0c00947

[116] [116] Zang X, Dong F, Yue F, Zhang C, Xu L, Song Z, Chen M, Chen PY, Buller GS, Zhu Y, Zhuang S, Chu W, Zhang S, Chen X. Polarization encoded color image embedded in a dielectric metasurface. Adv Mater. 2018;30:1707499.10.1002/adma.201707499

[117] [117] Huo P, Song M, Zhu W, Zhang C, Chen L, Lezec HJ, Lu Y, Agrawal A, Xu T. Photorealistic full-color nanopainting enabled by a low-loss metasurface. Optica. 2020;7:1171–2.10.1364/OPTICA.403092

[118] [118] Guo Y, Pu M, Zhang F, Xu M, Li X, Ma X, Luo X. Classical and generalized geometric phase in electromagnetic metasurfaces. Photonics Insights. 2022;1:R03.10.3788/PI.2022.R03

[119] [119] Chen S, Li Z, Zhang Y, Cheng H, Tian J. Phase manipulation of electromagnetic waves with metasurfaces and its applications in nanophotonics. Adv Opt Mater. 2018;6:1800104.10.1002/adom.201800104

[120] [120] Yu N, Genevet P, Kats MA, Aieta F, Tetienne JP, Capasso F, Gaburro Z. Light propagation with phase discontinuities: generalized laws of reflection and refraction. Science. 2011;334:333–7.10.1126/science.1210713

[121] [121] Sun S, Yang KY, Wang CM, Juan TK, Chen WT, Liao CY, et al. High-efficiency broadband anomalous reflection by gradient meta-surfaces. Nano Lett. 2012;12:6223–9.10.1021/nl3032668

[122] [122] Qin F, Ding L, Zhang L, Monticone F, Chum CC, Deng J, et al. Hybrid bilayer plasmonic metasurface efficiently manipulates visible light. Sci Adv. 2016;2: e1501168.10.1126/sciadv.1501168

[123] [123] Ding F, Chang B, Wei Q, Huang L, Guan X, Bozhevolnyi SI. Versatile polarization generation and manipulation using dielectric metasurfaces. Laser & Photonics Rev. 2020;14:2000116.10.1002/lpor.202000116

[124] [124] Gao S, Park CS, Lee SS, Choi DY. A highly efficient bifunctional dielectric metasurface enabling polarization-tuned focusing and deflection for visible light. Adv Opt Mater. 2019;7:1801337.10.1002/adom.201801337

[125] [125] Jiang ZH, Kang L, Yue T, Xu HX, Yang Y, Jin Z, et al. A single noninterleaved metasurface for high-capacity and flexible mode multiplexing of higher-order Poincaré sphere beams. Adv Mater. 2020;32:1903983.10.1002/adma.201903983

[126] [126] Tang S, Cai T, Liang JG, Xiao Y, Zhang CW, Zhang Q, et al. High-efficiency transparent vortex beam generator based on ultrathin Pancharatnam-Berry metasurfaces. Opt Express. 2019;27:1816–24.10.1364/OE.27.001816

[127] [127] Zhu W, Fan Y, Yang R, Geng G, Fu Q, Gu C, et al. Polarization-Multiplexed Silicon Metasurfaces for Multi-Channel Visible Light Modulation. Adv Funct Mater. 2022;32:2200013.10.1002/adfm.202200013

[128] [128] Ma Z, Li Y, Li Y, Gong Y, Maier SA, Hong M. All-dielectric planar chiral metasurface with gradient geometric phase. Opt Express. 2018;26:6067–78.10.1364/OE.26.006067

[129] [129] Guo Z, Zhu L, Shen F, Zhou H, Gao R. Dielectric metasurface based high-efficiency polarization splitters. RSC Adv. 2017;7:9872–9.10.1039/C6RA27741A

[130] [130] Huang L, Chen X, Muhlenbernd H, Li G, Bai B, Tan Q, Jin G, Zentgraf T, Zhang S. Dispersionless phase discontinuities for controlling light propagation. Nano Lett. 2012;12:5750–5.10.1021/nl303031j

[131] [131] Khorasaninejad M, Capasso F. Broadband multifunctional efficient meta-gratings based on dielectric waveguide phase shifters. Nano Lett. 2015;15:6709–15.10.1021/acs.nanolett.5b02524

[132] [132] Li J, Chen S, Yang H, Li J, Yu P, Cheng H, et al. Simultaneous control of light polarization and phase distributions using plasmonic metasurfaces. Adv Funct Mater. 2015;25:704.10.1002/adfm.201403669

[133] [133] Yu P, Chen S, Li J, Cheng H, Li Z, Liu W, et al. Generation of vector beams with arbitrary spatial variation of phase and linear polarization using plasmonic metasurfaces. Opt Lett. 2015;40:3229.10.1364/OL.40.003229

[134] [134] Chen WT, Yang KY, Wang CM, Huang YW, Sun G, Chiang ID, et al. High-efficiency broadband meta-hologram with polarization-controlled dual images. Nano Lett. 2014;14:225–30.10.1021/nl403811d

[135] [135] Chen X, Huang L, Mühlenbernd H, Li G, Bai B, Tan Q, et al. Dual-polarity plasmonic metalens for visible light. Nat Commun. 2012;3:1198.10.1038/ncomms2207

[136] [136] Khorasaninejad M, Chen WT, Zhu AY, Oh J, Devlin RC, Rousso D, et al. Multispectral chiral imaging with a metalens. Nano Lett. 2016;16:4595–600.10.1021/acs.nanolett.6b01897

[137] [137] Chen X, Chen M, Mehmood MQ, Wen D, Yue F, Qiu CW, Zhang S. Longitudinal multifoci metalens for circularly polarized light. Adv Opt Mater. 2015;3:1201–6.10.1002/adom.201500110

[138] [138] Wang S, Wang X, Kan Q, Ye J, Feng S, Sun W, et al. Spin-selected focusing and imaging based on metasurface lens. Opt Express. 2015;23:26434–41.10.1364/OE.23.026434

[139] [139] Bai GD, Ma Q, Li RQ, Mu J, Jing HB, Zhang L, Cui TJ. Spin-symmetry breaking through metasurface geometric phases. Phys Rev Appl. 2019;12: 044042.10.1103/PhysRevApplied.12.044042

[140] [140] Gou Y, Ma HF, Wu LW, Wang ZX, Xu P, Cui TJ. Broadband spin-selective wavefront manipulations based on Pancharatnam-Berry coding metasurfaces. ACS Omega. 2021;6:30019–26.10.1021/acsomega.1c04733

[141] [141] Ji R, Xie X, Guo X, Zhao Y, Jin C, Song K, Wang S, Yin J, Liu Y, Jiang C, et al. Chirality-assisted Aharonov-Anandan geometric-phase metasurfaces for spin-decoupled phase modulation. ACS Photonics. 2021;8:1847–55.10.1021/acsphotonics.1c00505

[142] [142] Ji R, Song K, Guo X, Xie X, Zhao Y, Jin C, Wang S, Jiang C, Yin J, Liu Y, et al. Spin-decoupled metasurface for broadband and pixel-saving polarization rotation and wavefront control. Opt Express. 2021;29:25720–30.10.1364/OE.431740

[143] [143] Song Q, Odeh M, Zúñiga-Pérez J, Kanté B, Genevet P. Plasmonic topological metasurface by encircling an exceptional point. Science. 2021;373:1133–7.10.1126/science.abj3179

[144] [144] Fu P, Du S, Lan W, Hu L, Wu Y, Li Z, Huang X, Guo Y, Zhu W, Li J, Liu B, Gu C. Deep learning enabled topological design of exceptional points for multi-optical-parameter control. Commun Phys. 2023;6:254.10.1038/s42005-023-01380-0

[145] [145] Li Y, Wan S, Deng S, Deng Z, Lv B, Guan C, Yang J, Bogdanov A, Belov P, Shi J. Independent control of circularly polarized light with exceptional topological phase coding metasurfaces. Photonics Res. 2024;12:534–42.10.1364/PRJ.510300

[146] [146] Yang Z, Huang PS, Lin YT, Qin H, Zúñiga-Pérez J, Shi Y, Wang Z, Cheng X, Tang MC, Han S, et al. Creating pairs of exceptional points for arbitrary polarization control: asymmetric vectorial wavefront modulation. Nat Commun. 2024;15:232.10.1038/s41467-023-44428-z

[147] [147] Yang Z, Huang PS, Lin YT, Qin H, Chen J, Han S, Huang W, Deng ZL, Li B, Zúñiga-Pérez J, et al. Asymmetric Full-Color Vectorial Meta-holograms Empowered by Pairs of Exceptional Points. Nano Lett. 2024;24:844–51.10.1021/acs.nanolett.3c03611

[148] [148] Liu L, Zhang X, Kenney M, Su X, Xu N, Ouyang C, Shi Y, Han J, Zhang W, Zhang S. Broadband metasurfaces with simultaneous control of phase and amplitude. Adv Mater. 2014;26:5031–6.10.1002/adma.201401484

[149] [149] Wang Q, Zhang X, Xu Y, Gu J, Li Y, Tian Z, Singh R, Zhang S, Han J, Zhang W. Broadband metasurface holograms: toward complete phase and amplitude engineering. Sci Rep. 2016;6:32867.10.1038/srep32867

[150] [150] Liu W, Li Z, Li Z, Cheng H, Tang C, Li J, Chen S, Tian J. Energy-tailorable spin-selective multifunctional metasurfaces with full Fourier components. Adv Mater. 2019;31:1901729.10.1002/adma.201901729

[151] [151] Zhao R, Xiao X, Geng G, Li X, Li J, Li X, Wang Y, Huang L. Polarization and Holography Recording in Real-and k-Space Based on Dielectric Metasurface. Adv Funct Mater. 2021;31:2100406.10.1002/adfm.202100406

[152] [152] Deng L, Deng J, Guan Z, Tao J, Chen Y, Yang Y, Zhang D, Tang J, Li Z, Li Z, Yu S, Zheng G, Xu H, Qiu CW, Zhang S. Malus-metasurface-assisted polarization multiplexing Light: Sci Appl. 2020;9:101.

[153] [153] Wan X, Jia SL, Cui TJ, Zhao YJ. Independent modulations of the transmission amplitudes and phases by using Huygens metasurfaces. Sci Rep. 2016;6:25639.10.1038/srep25639

[154] [154] Shan X, Deng L, Dai Q, Zhou Z, Liang C, Li Z, Zheng G. Silicon-on-insulator based multifunctional metasurface with simultaneous polarization and geometric phase controls. Opt Express. 2020;28:26359–69.10.1364/OE.402064

[155] [155] Li Y, Pang Y, Wang J, Zheng Q, Zhang J, Zhang J, Jing Y, Zheng L, Feng M, Wang H, Qu S, Cui T. Tailoring Circular Dichroism in an Isomeric Manner: Complete Control of Amplitude and Phase for High-Quality Hologram and Beam Forming. Adv Opt Mater. 2022;10:2101982.10.1002/adom.202101982

[156] [156] Rubin NA, Zaidi A, Dorrah AH, Shi Z, Capasso F. Jones matrix holography with metasurfaces. Sci Adv. 2021;7:eabg7488.10.1126/sciadv.abg7488

[157] [157] Nan T, Zhao H, Guo J, Wang X, Tian H, Zhang Y. Generation of structured light beams with polarization variation along arbitrary spatial trajectories using tri-layer metasurfaces. Opto-Electron Sci. 2024;3:230052–61.10.29026/oes.2024.230052

[158] [158] Yue Z, Sipahi T, Ahmed H, Ansari MA, Wang G, Hou G, Chen X, Yang X. Multispectral Polarization States Generation with a Single Metasurface. Laser Photonics Rev. 2024;18:2400176.10.1002/lpor.202400176

[159] [159] Intaravanne Y, Wang R, Ahmed H, Ming Y, Zheng Y, Zhou ZK, Li Z, Chen S, Zhang S, Chen X. Color-selective three-dimensional polarization structures. Light: Sci Appl. 2022;11:302.10.1038/s41377-022-00961-y

[160] [160] Zheng C, Li J, Liu J, Li J, Yue Z, Li H, Yang F, Zhang Y, Zhang Y, Yao J. Creating longitudinally varying vector vortex beams with an all-dielectric metasurface. Laser Photonics Rev. 2022;16:2200236.10.1002/lpor.202200236

[161] [161] Wang D, Liu F, Liu T, Sun S, He Q, Zhou L. Efficient generation of complex vectorial optical fields with metasurfaces. Light: Sci Appl. 2021;10:67.10.1038/s41377-021-00504-x

[162] [162] Dorrah AH, Rubin NA, Zaidi A, Tamagnone M, Capasso F. Metasurface optics for on-demand polarization transformations along the optical path. Nat Photonics. 2021;15:287–96.10.1038/s41566-020-00750-2

[163] [163] Dorrah AH, Rubin NA, Tamagnone M, Zaidi A, Capasso F. Structuring total angular momentum of light along the propagation direction with polarization-controlled meta-optics. Nat Commun. 2021;12:6249.10.1038/s41467-021-26253-4

[164] [164] Liu W, Wang B, Zhang Y, Wang J, Zhao M, Guan F, Liu X, Lei S, Zi J. Circularly polarized states spawning from bound states in the continuum. Phys Rev Lett. 2019;123: 116104.10.1103/PhysRevLett.123.116104

[165] [165] Zhen B, Hsu CW, Lu L, Stone AD, Soljačić M. Topological nature of optical bound states in the continuum. Phys Rev Lett. 2014;113: 257401.10.1103/PhysRevLett.113.257401

[166] [166] Gorkunov MV, Antonov AA, Kivshar YS. Metasurfaces with maximum chirality empowered by bound states in the continuum. Phys Rev Lett. 2020;125: 093903.10.1103/PhysRevLett.125.093903

[167] [167] Chen W, Yang Q, Chen Y, Liu W. Extremize optical chiralities through polarization singularities. Phys Rev Lett. 2021;126: 253901.10.1103/PhysRevLett.126.253901

[168] [168] Li Z, Liu W, Li Z, Tang C, Cheng H, Li J, Chen X, Chen S, Tian J. Tripling the capacity of optical vortices by nonlinear metasurface. Laser Photonics Rev. 2018;12:1800164.10.1002/lpor.201800164

[169] [169] Ma M, Li Z, Liu W, Tang C, Li Z, Cheng H, Li J, Chen S, Tian J. Optical information multiplexing with nonlinear coding metasurfaces. Laser Photonics Rev. 2019;13:1900045.10.1002/lpor.201900045

[170] [170] Li G, Zhang S, Zentgraf T. Nonlinear photonic metasurfaces Nat Rev Mater. 2017;2:1–14.

[171] [171] Hong X, Wang K, Guan C, Han X, Chen Y, Qian S, Xing X, Qiu CW, Lu P. Chiral third-harmonic metasurface for multiplexed holograms. Nano Lett. 2022;22:8860–6.10.1021/acs.nanolett.2c02283

[172] [172] Wang M, Li Y, Tang Y, Chen J, Rong R, Li G, Cao T, Chen S. Nonlinear Chiroptical Holography with Pancharatnam-Berry Phase Controlled Plasmonic Metasurface. Laser Photonics Rev. 2022;16:2200350.10.1002/lpor.202200350

[173] [173] Mao N, Tang Y, Jin M, Zhang G, Li Y, Zhang X, Hu Z, Tang W, Chen Y, Liu X, Li K, Cheah K, Li G. Nonlinear wavefront engineering with metasurface decorated quartz crystal. Nanophotonics. 2021;11:797–803.10.1515/nanoph-2021-0464

[174] [174] Kruk SS, Wang L, Sain B, Dong Z, Yang J, Zentgraf T, Kivshar Y. Asymmetric parametric generation of images with nonlinear dielectric metasurfaces. Nat Photonics. 2022;16:561–5.10.1038/s41566-022-01018-7

[175] [175] Kim KH, Kim JR. Dielectric Chiral Metasurfaces for Second-Harmonic Generation with Strong Circular Dichroism. Ann Phys. 2020;532:2000078.10.1002/andp.202000078

[176] [176] Walter F, Li G, Meier C, Zhang S, Zentgraf T. Ultrathin nonlinear metasurface for optical image encoding. Nano Lett. 2017;17:3171–5.10.1021/acs.nanolett.7b00676

[177] [177] Almeida E, Bitton O, Prior Y. Nonlinear metamaterials for holography Nat Commun. 2016;7:12533.

[178] [178] Ye W, Zeuner F, Li X, Reineke B, He S, Qiu CW, Liu J, Wang Y, Zhang S, Zentgraf T. Spin and wavelength multiplexed nonlinear metasurface holography. Nat Commun. 2016;7:11930.10.1038/ncomms11930

[179] [179] Nookala N, Lee J, Tymchenko M, Gomez-Diaz JS, Demmerle F, Boehm G, Lai K, Shvets G, Amann MC, Alu A, Belkin M. Ultrathin gradient nonlinear metasurface with a giant nonlinear response. Optica. 2016;3:283–8.10.1364/OPTICA.3.000283

[180] [180] Klein MW, Enkrich C, Wegener M, Linden S. Second-harmonic generation from magnetic metamaterials. Science. 2006;313:502–4.10.1126/science.1129198

[181] [181] Kang L, Rodrigues SP, Taghinejad M, Lan S, Lee KT, Liu Y, Werner DH, Urbas A, Cai W. Preserving spin states upon reflection: linear and nonlinear responses of a chiral meta-mirror. Nano Lett. 2017;17:7102–9.10.1021/acs.nanolett.7b03882

[182] [182] Tang Y, Intaravanne Y, Deng J, Li KF, Chen X, Li G. Nonlinear vectorial metasurface for optical encryption. Phys Rev Appl. 2019;12: 024028.10.1103/PhysRevApplied.12.024028

[183] [183] Mao N, Deng J, Zhang X, Tang Y, Jin M, Li Y, Liu X, Li K, Cao T, Cheah K, Wang H, Ng J, Li G. Nonlinear diatomic metasurface for real and Fourier space image encoding. Nano Lett. 2020;20:7463–8.10.1021/acs.nanolett.0c02910

[184] [184] Sun Y, Geng G, Wang Y, Zhang Y, Li Z, Liu W, Cheng H, Chen S. Multichannel Linear and Nonlinear Information Encryptions with Malus Metasurfaces. Laser Photonics Rev. 2024;18:2300866.10.1002/lpor.202300866

[185] [185] Arbabi E, Kamali SM, Arbabi A, Faraon A. Full-Stokes imaging polarimetry using dielectric metasurfaces. ACS Photonics. 2018;5:3132–40.10.1021/acsphotonics.8b00362

[186] [186] Yang Z, Wang Z, Wang Y, Feng X, Zhao M, Wan Z, Zhu L, Liu J, Huang Y, Xia J, Wegener M. Generalized Hartmann-Shack array of dielectric metalens sub-arrays for polarimetric beam profiling. Nat Commun. 2018;9:4607.10.1038/s41467-018-07056-6

[187] [187] Rubin NA, D’Aversa G, Chevalier P, Shi Z, Chen WT, Capasso F. Matrix Fourier optics enables a compact full-Stokes polarization camera. Science. 2019;365:eaax1839.10.1126/science.aax1839

[188] [188] Zhang X, Yang S, Yue W, Xu Q, Tian C, Zhang X, Plum E, Zhang S, Han J, Zhang W. Direct polarization measurement using a multiplexed Pancharatnam-Berry metahologram. Optica. 2019;6:1190–8.10.1364/OPTICA.6.001190

[189] [189] Basiri A, Chen X, Bai J, Amrollahi P, Carpenter J, Holman Z, Wang C, Yao Y. Nature-inspired chiral metasurfaces for circular polarization detection and full-Stokes polarimetric measurements. Light: Sci Appl. 2019;8:78.10.1038/s41377-019-0184-4

[190] [190] Ni Y, Chen C, Wen S, Xue X, Sun L, Yang Y. Computational spectropolarimetry with a tunable liquid crystal metasurface. eLight. 2022;2:23.10.1186/s43593-022-00032-0

[191] [191] Yue F, Aglieri V, Piccoli R, Macaluso R, Toma A, Morandotti R, Razzari L. Highly Sensitive Polarization Rotation Measurement through a High-Order Vector Beam Generated by a Metasurface. Adv Mater Tech. 2020;5:1901008.10.1002/admt.201901008

[192] [192] Yang B, Ma D, Liu W, Choi DY, Li Z, Cheng H, Tian J, Chen S. Deep-learning-based colorimetric polarization-angle detection with metasurfaces. Optica. 2022;9:217–20.10.1364/OPTICA.449893

[193] [193] Fan Q, Xu W, Hu X, Zhu W, Yue T, Yan F, Lin P, Chen L, Song J, Lezec HJ, Agrawal A, Lu Y, Xu T. Disordered metasurface enabled single-shot full-Stokes polarization imaging leveraging weak dichroism. Nat Commun. 2023;14:7180.10.1038/s41467-023-42944-6

[194] [194] Panchenko E, Cadusch JJ, James TD, Roberts A. Plasmonic metasurface-enabled differential photodetectors for broadband optical polarization characterization. ACS Photonics. 2016;3:1833–9.10.1021/acsphotonics.6b00342

[195] [195] Hong J, Van De Groep J, Lee N, Kim SJ, Lalanne P, Kik PG, Brongersma ML. Nonlocal metasurface for circularly polarized light detection. Optica. 2023;10:134–41.10.1364/OPTICA.468252

[196] [196] Wilson NC, Shin E, Bangle RE, Nikodemski SB, Vella JH, Mikkelsen MH. Ultrathin Pyroelectric Photodetector with Integrated Polarization-Sensing Metasurface. Nano Lett. 2023. .10.1021/acs.nanolett.3c02341

[197] [197] Wei J, Chen Y, Li Y, Li W, Xie J, Lee C, Novoselov KS, Qiu CW. Geometric filterless photodetectors for mid-infrared spin light. Nat Photonics. 2023;17:171–8.

[198] [198] Li W, Coppens ZJ, Besteiro LV, Wang W, Govorov AO, Valentine J. Circularly polarized light detection with hot electrons in chiral plasmonic metamaterials. Nat Commun. 2015;6:8379.10.1038/ncomms9379

[199] [199] Zheng G, Mühlenbernd H, Kenney M, Li G, Zentgraf T, Zhang S. Metasurface holograms reaching 80% efficiency. Nat Nanotech. 2015;10:308–12.10.1038/nnano.2015.2

[200] [200] Zhang J, ElKabbash M, Wei R, Singh SC, Lam B, Guo C. Plasmonic metasurfaces with 42.3% transmission efficiency in the visible. Light: Sci Appl. 2019;8:53.10.1038/s41377-019-0164-8

[201] [201] Luo W, Sun S, Xu HX, He Q, Zhou L. Transmissive ultrathin Pancharatnam-Berry metasurfaces with nearly 100% efficiency. Phys Rev Appl. 2017;7: 044033.10.1103/PhysRevApplied.7.044033

[202] [202] Arbabi A, Arbabi E, Horie Y, Kamali SM, Faraon A. Planar metasurface retroreflector. Nat Photonics. 2017;11:415–20.10.1038/nphoton.2017.96

[203] [203] Wu Z, Zhou M, Khoram E, Liu B, Yu Z. Neuromorphic metasurface. Photonics. Research. 2020;8:46–50.

[204] [204] Zhou C, Lee WB, Park CS, Gao S, Choi DY, Lee SS. Multifunctional beam manipulation at telecommunication wavelengths enabled by an all-dielectric metasurface doublet. Adv Opt Mater. 2020;8:2000645.10.1002/adom.202000645

[205] [205] Zang H, Xi Z, Zhang Z, Lu Y, Wang P. Ultrasensitive and long-range transverse displacement metrology with polarization-encoded metasurface. Sci Adv. 2022;8:eadd1973.10.1126/sciadv.add1973

[206] [206] Menzel C, Helgert C, Rockstuhl C, Kley EB, Tünnermann A, Pertsch T, Lederer F. Asymmetric transmission of linearly polarized light at optical metamaterials. Phys Rev Lett. 2010;104: 253902.10.1103/PhysRevLett.104.253902

[207] [207] Li Z, Chen S, Tang C, Liu W, Cheng H, Liu Z, Li J, Yu P, Xie B, Liu Z, Li J, Tian J. Broadband diodelike asymmetric transmission of linearly polarized light in ultrathin hybrid metamaterial. Appl Phys Lett. 2014;105: 201103.10.1063/1.4902162

[208] [208] Zhang C, Pfeiffer C, Jang T, Ray V, Junda M, Uprety P, Podraza N, Grbic A, Guo LJ. Breaking Malus’ law: highly efficient, broadband, and angular robust asymmetric light transmitting metasurface. Laser Photonics Rev. 2016;10:791–8.10.1002/lpor.201500328

[209] [209] Li Z, Liu W, Cheng H, Liu J, Chen S, Tian J. Simultaneous generation of high-efficiency broadband asymmetric anomalous refraction and reflection waves with few-layer anisotropic metasurface. Sci Rep. 2016;6:35485.10.1038/srep35485

[210] [210] Frese D, Wei Q, Wang Y, Huang L, Zentgraf T. Nonreciprocal asymmetric polarization encryption by layered plasmonic metasurfaces. Nano Lett. 2019;19:3976–80.10.1021/acs.nanolett.9b01298

[211] [211] Zhou Y, Kravchenko II, Wang H, Nolen JR, Gu G, Valentine J. Multilayer noninteracting dielectric metasurfaces for multiwavelength metaoptics. Nano Lett. 2018;18:7529–37.10.1021/acs.nanolett.8b03017

[212] [212] Ding J, Xu N, Ren H, Lin Y, Zhang W, Zhang H. Dual-wavelength terahertz metasurfaces with independent phase and amplitude control at each wavelength. Sci Rep. 2016;6:34020.10.1038/srep34020

[213] [213] Zhou Y, Kravchenko II, Wang H, Zheng H, Gu G, Valentine J. Multifunctional metaoptics based on bilayer metasurfaces. Light: Sci Appl. 2019;8:80.10.1038/s41377-019-0193-3

[214] [214] Wang X, Ding J, Zheng B, An S, Zhai G, Zhang H. Simultaneous realization of anomalous reflection and transmission at two frequencies using bi-functional metasurfaces. Sci Rep. 2018;8:1876.10.1038/s41598-018-20315-2

[215] [215] Cai T, Wang GM, Xu HX, Tang SW, Li H, Liang JG, Zhuang YQ. Bifunctional Pancharatnam-Berry Metasurface with High-Efficiency Helicity-Dependent Transmissions and Reflections. Ann Phys. 2018;530:1700321.10.1002/andp.201700321

[216] [216] Pan W, Cai T, Tang S, Zhou L, Dong J. Trifunctional metasurfaces: concept and characterizations. Opt Express. 2018;26:17447–57.10.1364/OE.26.017447

[217] [217] Jing Y, Li Y, Zhang J, Wang J, Feng M, Ma H, Qu S. Full-space-manipulated multifunctional coding metasurface based on “Fabry-Pérot-like” cavity. Opt Express. 2019;27:21520–31.10.1364/OE.27.021520

[218] [218] Gao S, Zhou C, Liu W, Yue W, Chen S, Lee SS, Choi DY, Li Y. Dielectric Polarization-Filtering Metasurface Doublet for Trifunctional Control of Full-Space Visible Light. Laser Photonics Rev. 2022;16:2100603.10.1002/lpor.202100603

[219] [219] Deng J, Gao F, Yuan P, Li Y, Yan B. Bidirectional nanoprinting based on bilayer metasurfaces. Opt Express. 2022;30:377–88.10.1364/OE.448136

[220] [220] Fang Q, Wu L, Pan W, Li M, Dong J. Trifunctional metasurface for manipulating linearly and circularly polarized waves in transmission and reflection modes. Appl Phys Lett. 2020;117: 074102.10.1063/5.0015017

[221] [221] Cai T, Wang G, Tang S, Xu H, Duan J, Guo H, Guan F, Sun S, He Q, Zhou L. High-efficiency and full-space manipulation of electromagnetic wave fronts with metasurfaces. Phys Rev Appl. 2017;8: 034033.10.1103/PhysRevApplied.8.034033

[222] [222] Deng L, Li Z, Zhou Z, He Z, Zeng Y, Zheng G, Yu S. Bilayer-Metasurface Design, Fabrication, and Functionalization for Full-Space Light Manipulation. Adv Opt Mater. 2022;10:2102179.10.1002/adom.202102179

[223] [223] Yuan Y, Zhang K, Ratni B, Song Q, Ding X, Wu Q, Burokur SN, Genevet P. Independent phase modulation for quadruplex polarization channels enabled by chirality-assisted geometric-phase metasurfaces. Nat Commun. 2020;11:4186.10.1038/s41467-020-17773-6

[224] [224] Liu Z, Li Z, Liu Z, Cheng H, Liu W, Tang C, Gu C, Li J, Chen H-T, Chen S, Tian J. Single-layer plasmonic metasurface half-wave plates with wavelength-independent polarization conversion angle. ACS Photonics. 2017;4:2061–9.10.1021/acsphotonics.7b00491

[225] [225] Deng ZL, Deng J, Zhuang X, Wang S, Li K, Wang Y, Chi Y, Ye X, Xu J, Wang GP, Zhao R, Wang X, Cao Y, Cheng X, Li G, Li X. Diatomic metasurface for vectorial holography. Nano Lett. 2018;18:2885–92.10.1021/acs.nanolett.8b00047

[226] [226] Wu PC, Tsai WY, Chen WT, Huang YW, Chen TY, Chen JW, Liao CY, Chu CH, Sun G, Tsai DP. Versatile polarization generation with an aluminum plasmonic metasurface. Nano Lett. 2017;17:445–52.10.1021/acs.nanolett.6b04446

[227] [227] Ding J, An S, Zheng B, Zhang H. Multiwavelength metasurfaces based on single-layer dual-wavelength meta-Atoms: toward complete phase and amplitude modulations at two wavelengths. Adv Opt Mater. 2017;5:1700079.10.1002/adom.201700079

[228] [228] Wang C, Wang C. Interference-enhanced chirality-reversible dichroism metalens imaging using nested dual helical surfaces. Optica. 2021;8:502–10.10.1364/OPTICA.418128

[229] [229] Cao Y, Tang L, Li J, Lee C, Dong ZG. Four-channel display and encryption by near-field reflection on nanoprinting metasurface. Nanophotonics. 2022;11:3365–74.10.1515/nanoph-2022-0216

[230] [230] Bao Y, Yu Y, Xu H, Guo C, Li J, Sun S, Zhou ZK, Qiu CW, Wang XH. Full-colour nanoprint-hologram synchronous metasurface with arbitrary hue-saturation-brightness control. Light Sci & Appl. 2019;8:95.10.1038/s41377-019-0206-2

[231] [231] Wang S, Deng ZL, Wang Y, Zhou Q, Wang X, Cao Y, Guan BO, Xiao S, Li X. Arbitrary polarization conversion dichroism metasurfaces for all-in-one full Poincaré sphere polarizers. Light Sci Appl. 2021;10:24.10.1038/s41377-021-00468-y

[232] [232] Fan Q, Liu M, Zhang C, Zhu W, Wang Y, Lin P, Yan F, Chen L, Lezec HJ, Lu Y, Agrawal A, Xu T. Independent amplitude control of arbitrary orthogonal states of polarization via dielectric metasurfaces. Phys Rev Lett. 2020;125: 267402.10.1103/PhysRevLett.125.267402

[233] [233] Liu M, Zhu W, Huo P, Feng L, Song M, Zhang C, Chen L, Lezec HJ, Lu Y, Agrawal A, Xu T. Multifunctional metasurfaces enabled by simultaneous and independent control of phase and amplitude for orthogonal polarization states. Light: Sci Appl. 2021;10:107.10.1038/s41377-021-00552-3

[234] [234] Guo X, Zhong J, Li P, Wen D, Liu S, Wei B, Qi S, Zhao J. Metasurface-assisted multidimensional manipulation of a light wave based on spin-decoupled complex amplitude modulation. Opt Lett. 2022;47:353–6.10.1364/OL.446542

[235] [235] Gao S, Zhou C, Yue W, Li Y, Zhang C, Kan H, Choi DY. Efficient all-dielectric diatomic metasurface for linear polarization generation and 1-bit phase control. ACS Appl Mater Interfaces. 2021;13:14497–506.10.1021/acsami.1c00967

[236] [236] Song Q, Khadir S, Vézian S, Damilano B, Mierry PD, Chenot S, Brandli V, Genevet P. Bandwidth-unlimited polarization-maintaining metasurfaces. Sci Adv. 2021;7:eabe1112.10.1126/sciadv.abe1112

[237] [237] Ma D, Li Z, Zhang Y, Liu W, Cheng H, Chen S, Tian J. Giant spin-selective asymmetric transmission in multipolar-modulated metasurfaces. Opt Lett. 2019;44:3805.10.1364/OL.44.003805

[238] [238] Li H, Xu H, Zheng C, Liu J, Li J, Song C, Li J, Yang F, Shi W, Zhang Y, Zhang Y, Yao J. All-Silicon Diatomic Terahertz Metasurface with Tailorable Linear Polarization States. Adv Optical Mater. 2023;11:2201960.10.1002/adom.202201960

[239] [239] Chen J, Yu F, Liu X, Bao Y, Chen R, Zhao Z, Wang J, Wang X, Liu W, Shi Y, Qiu CW, Chen X, Lu W, Li G. Polychromatic full-polarization control in mid-infrared light. Light Sci Appl. 2023;12:105.10.1038/s41377-023-01140-3

[240] [240] Liu W, Wang B, Zhang Y, Wang J, Zhao M, Guan F, Liu X, Shi L, Zi J. Circularly polarized states spawning from bound states in the continuum. Phys Rev Lett. 2019;123: 116104.10.1103/PhysRevLett.123.116104

[241] [241] Zhao R, Wei Q, Li Y, Li X, Geng G, Li X, Li J, Wang Y, Huang L. Stereo Jones Matrix Holography with Longitudinal Polarization Transformation. Laser Photonics Rev. 2023;17:2200982.10.1002/lpor.202200982

[242] [242] Dai C, Liu T, Wang D, Zhou L. Multiplexing near- and far-field functionalities with high-efficiency bi-channel metasurfaces. PhotoniX. 2024;5:11.10.1186/s43074-024-00128-5

[243] [243] Shi Z, Rubin NA, Park JS, Capasso F. Nonseparable polarization wavefront transformation. Phys Rev Lett. 2022;129: 167403.10.1103/PhysRevLett.129.167403

[244] [244] Deng ZL, Tu QA, Wang Y, Wang ZQ, Shi T, Feng Z, Qiao XC, Wang GP, Xiao S, Li X. Vectorial compound metapixels for arbitrary nonorthogonal polarization steganography. Adv Mater. 2021;33:2103472.10.1002/adma.202103472

[245] [245] Sun S, Ma HF, Gou Y, Zhang TY, Wu LW, Cui TJ. Spin-and Space-Multiplexing Metasurface for Independent Phase Controls of Quadruplex Polarization Channels. Adv Opt Mater. 2023;11:2202275.10.1002/adom.202202275

[246] [246] Dong S, Qu K, Hu Q, Wang S, Chen K, Feng Y. Full-Space Janus Meta-Lens for Shared-Aperture Transmission-Reflection-Independent Focusing of Electromagnetic Wave. Adv Photonics Res. 2024;5:2300349.10.1002/adpr.202300349

[247] [247] Zhang X, Liu Y, Han J, Kivshar Y, Song Q. Chiral emission from resonant metasurfaces. Science. 2022;377:1215–8.10.1126/science.abq7870

[248] [248] Sun Y, Hu Z, Shi K, Guo T, Xing Y, Jin Y, He S. Enhancing circularly polarized emission by a planar chiral dielectric metasurface. Adv Opt Mater. 2023;11:2300197.10.1002/adom.202300197

[249] [249] Qu Y, Yi S, Yang L, Yu Z. Multimodal light-sensing pixel arrays. Appl Phys Lett. 2022;121: 040501.10.1063/5.0090138

[250] [250] Shen Z, Zhao F, Jin C, Wang S, Cao L, Yang Y. Monocular metasurface camera for passive single-shot 4D imaging. Nat Commun. 2023;14:1035.10.1038/s41467-023-36812-6

[251] [251] Zhao Y, Xiang J, He A, He Y, Guo X, Su Y. Metamaterial-enabled Fully On-Chip Polarization-Handling Devices. Laser Photonics Rev. 2023;17:2300320.10.1002/lpor.202300320

[252] [252] Zhang Y, Li Z, Liu W, Cheng H, Choi DY, Tian J, Chen S. On-Chip Multidimensional Manipulation of Far-Field Radiation with Guided Wave-Driven Metasurfaces. Laser Photonics Rev. 2023;17:2300109.10.1002/lpor.202300109

[253] [253] Zhang Y, Li Z, Liu W, Li Z, Cheng H, Chen S, Tian J. Spin-selective and wavelength-selective demultiplexing based on waveguide-integrated all-dielectric metasurfaces. Adv Optical Mater. 2019;7:1801273.10.1002/adom.201801273

[254] [254] Huang H, Overvig AC, Xu Y, Malek SC, Tsai CC, Alù A, Yu N. Leaky-wave metasurfaces for integrated photonics. Nat Nanotechnol. 2023;18:580–8.10.1038/s41565-023-01360-z

[255] [255] Ji J, Wang Z, Sun J, Chen C, Li X, Fang B, Zhu SN, Li T. Metasurface-Enabled On-Chip Manipulation of Higher-Order Poincaré Sphere Beams. Nano Lett. 2023;23:2750–7.10.1021/acs.nanolett.3c00021

[256] [256] Xu G, Overvig A, Kasahara Y, Martini E, Maci S, Alù A. Arbitrary aperture synthesis with nonlocal leaky-wave metasurface antennas. Nat Commun. 2023;14:4380.10.1038/s41467-023-39818-2

[257] [257] Chen T, Xu M, Pu M, Zeng Q, Zheng Y, Xiao Y, Ha Y, Guo Y, Zhang F, Chi N, Luo X. Freeform Metasurface-Assisted Waveguide Coupler for Guided Wave Polarization Manipulation and Spin−Orbit Angular Momentum Conversion. ACS Photonics. 2024;11:1051–9.10.1021/acsphotonics.3c01454

[258] [258] Zhao X, Li Z, Cheng J, Liu W, Yu S, Zhang Y, Cheng H, Tian J, Chen S. Realization of maximum optical intrinsic chirality with bilayer polyatomic metasurfaces. Opt Lett. 2022;47:4814–7.10.1364/OL.469518

[259] [259] Deng ZL, Hu MX, Qiu S, Wu X, Overvig A, Li X, Alù A. Poincaré sphere trajectory encoding metasurfaces based on generalized Malus’ law. Nat Commun. 2024;15:2380.10.1038/s41467-024-46758-y