Citation: | Zhou Y C, Ding W J, Li Z L, et al. Multifunctional metasurface image display enabled by merging spatial frequency multiplexing and near- and far-field multiplexing[J]. Opto-Electron Eng, 2023, 50(8): 230153. doi: 10.12086/oee.2023.230153 |
[1] | Yu N F, Genevet P, Kats M A, et al. Light propagation with phase discontinuities: generalized laws of reflection and refraction[J]. Science, 2011, 334(6054): 333−337. doi: 10.1126/science.1210713 |
[2] | Zhang Y Z, Lin P C, Huo P C, et al. Dielectric metasurface for synchronously spiral phase contrast and bright-field imaging[J]. Nano Lett, 2023, 23(7): 2991−2997. doi: 10.1021/acs.nanolett.3c00388 |
[3] | Gao H, Wang Y X, Fan X H, et al. Dynamic 3D meta-holography in visible range with large frame number and high frame rate[J]. Sci Adv, 2020, 6(28): eaba8595. doi: 10.1126/sciadv.aba8595 |
[4] | Shi T, Deng Z L, Geng G Z, et al. Planar chiral metasurfaces with maximal and tunable chiroptical response driven by bound states in the continuum[J]. Nat Commun, 2022, 13(1): 4111. doi: 10.1038/s41467-022-31877-1 |
[5] | Wang D Y, Liu F F, Liu T, et al. Efficient generation of complex vectorial optical fields with metasurfaces[J]. Light Sci Appl, 2021, 10(1): 67. doi: 10.1038/s41377-021-00504-x |
[6] | Yu B B, Wen J, Chen L, et al. Polarization-independent highly efficient generation of Airy optical beams with dielectric metasurfaces[J]. Photonics Res, 2020, 8(7): 1148−1154. doi: 10.1364/PRJ.390202 |
[7] | Xu Z T, Huang L L, Li X W, et al. Quantitatively correlated amplitude holography based on photon sieves[J]. Adv Opt Mater, 2020, 8(2): 1901169. doi: 10.1002/adom.201901169 |
[8] | Huang K, Deng J, Leong H S, et al. Ultraviolet metasurfaces of ≈80% efficiency with antiferromagnetic resonances for optical vectorial anti‐counterfeiting[J]. Laser Photonics Rev, 2019, 13(5): 1800289. doi: 10.1002/lpor.201800289 |
[9] | Zheng G X, Mühlenbernd H, Kenney M, et al. Metasurface holograms reaching 80% efficiency[J]. Nat Nanotechnol, 2015, 10(4): 308−312. doi: 10.1038/nnano.2015.2 |
[10] | Fu R, Chen K X, Li Z L, et al. Metasurface-based nanoprinting: principle, design and advances[J]. Opto-Electron Sci, 2022, 1(10): 220011. doi: 10.29026/oes.2022.220011 |
[11] | Wang L, Kruk S, Tang H Z, et al. Grayscale transparent metasurface holograms[J]. Optica, 2016, 3(12): 1504−1505. doi: 10.1364/OPTICA.3.001504 |
[12] | Li Z L, Kim I, Zhang L, et al. Dielectric meta-holograms enabled with dual magnetic resonances in visible light[J]. ACS Nano, 2017, 11(9): 9382−9389. doi: 10.1021/acsnano.7b04868 |
[13] | Tan S J, Zhang L, Zhu D, et al. Plasmonic color palettes for photorealistic printing with aluminum nanostructures[J]. Nano Lett, 2014, 14(7): 4023−4029. doi: 10.1021/nl501460x |
[14] | Sun S, Zhou Z X, Zhang C, et al. All-dielectric full-color printing with TiO2 metasurfaces[J]. ACS Nano, 2017, 11(5): 4445−4452. doi: 10.1021/acsnano.7b00415 |
[15] | Gao B F, Ren M X, Wu W, et al. Lithium niobate metasurfaces[J]. Laser Photonics Rev, 2019, 13(5): 1800312. doi: 10.1002/lpor.201800312 |
[16] | Yue F Y, Zhang C M, Zang X F, et al. High-resolution grayscale image hidden in a laser beam[J]. Light Sci Appl, 2018, 7: 17129. doi: 10.1038/lsa.2017.129 |
[17] | Dai Q, Deng L G, Deng J, et al. Ultracompact, high-resolution and continuous grayscale image display based on resonant dielectric metasurfaces[J]. Opt Express, 2019, 27(20): 27927−27935. doi: 10.1364/OE.27.027927 |
[18] | 许可,王星儿,范旭浩,等. 超表面全息术:从概念到实现[J]. 光电工程, 2022, 49(10): 220183. doi: 10.12086/oee.2022.220183 Xu K, Wang X E, Fan X H, et al. Meta-holography: from concept to realization[J]. Opto-Electron Eng, 2022, 49(10): 220183. doi: 10.12086/oee.2022.220183 |
[19] | Chen W T, Zhu A Y, Sanjeev V, et al. A broadband achromatic metalens for focusing and imaging in the visible[J]. Nat Nanotechnol, 2018, 13(3): 220−226. doi: 10.1038/s41565-017-0034-6 |
[20] | Arbabi A, Horie Y, Ball A J, et al. Subwavelength-thick lenses with high numerical apertures and large efficiency based on high-contrast transmitarrays[J]. Nat Commun, 2015, 6: 7069. doi: 10.1038/ncomms8069 |
[21] | Pahlevaninezhad H, Khorasaninejad M, Huang Y W, et al. Nano-optic endoscope for high-resolution optical coherence tomography in vivo[J]. Nat Photonics, 2018, 12(9): 540−547. doi: 10.1038/s41566-018-0224-2 |
[22] | Shrestha S, Overvig A C, Lu M, et al. Broadband achromatic dielectric metalenses[J]. Light Sci Appl, 2018, 7: 85. doi: 10.1038/s41377-018-0078-x |
[23] | Khorasaninejad M, Chen W T, Devlin R C, et al. Metalenses at visible wavelengths: diffraction-limited focusing and subwavelength resolution imaging[J]. Science, 2016, 352(6290): 1190−1194. doi: 10.1126/science.aaf6644 |
[24] | Zhu Y C, Chen X L, Yuan W Z, et al. A waveguide metasurface based quasi-far-field transverse-electric superlens[J]. Opto-Electron Adv, 2021, 4(10): 210013. doi: 10.29026/oea.2021.210013 |
[25] | Zheng G X, Liu G G, Kenney M G, et al. Ultracompact high-efficiency polarising beam splitter based on silicon nanobrick arrays[J]. Opt Express, 2016, 24(6): 6749−6757. doi: 10.1364/OE.24.006749 |
[26] | Li Z L, Zheng G X, He P A, et al. All-silicon nanorod-based Dammann gratings[J]. Opt Lett, 2015, 40(18): 4285−4288. doi: 10.1364/OL.40.004285 |
[27] | Wan C W, Yang R, Shi Y Y, et al. Visible-frequency meta-gratings for light steering, beam splitting and absorption tunable functionality[J]. Opt Express, 2019, 27(26): 37318−37326. doi: 10.1364/OE.27.037318 |
[28] | Shen Z C, Zhao F, Jin C Q, et al. Monocular metasurface camera for passive single-shot 4D imaging[J]. Nat Commun, 2023, 14(1): 1035. doi: 10.1038/s41467-023-36812-6 |
[29] | Arbabi A, Horie Y, Bagheri M, et al. Dielectric metasurfaces for complete control of phase and polarization with subwavelength spatial resolution and high transmission[J]. Nat Nanotechnol, 2015, 10(11): 937−943. doi: 10.1038/nnano.2015.186 |
[30] | Yue F Y, Wen D D, Xin J T, et al. Vector vortex beam generation with a single plasmonic metasurface[J]. ACS Photonics, 2016, 3(9): 1558−1563. doi: 10.1021/acsphotonics.6b00392 |
[31] | Tittl A, Leitis A, Liu M K, et al. Imaging-based molecular barcoding with pixelated dielectric metasurfaces[J]. Science, 2018, 360(6393): 1105−1109. doi: 10.1126/science.aas9768 |
[32] | Yesilkoy F, Arvelo E R, Jahani Y, et al. Ultrasensitive hyperspectral imaging and biodetection enabled by dielectric metasurfaces[J]. Nat Photonics, 2019, 13(6): 390−396. doi: 10.1038/s41566-019-0394-6 |
[33] | Bao Y J, Yu Y, Xu H F, et al. Coherent pixel design of metasurfaces for multidimensional optical control of multiple printing-image switching and encoding[J]. Adv Funct Mater, 2018, 28(51): 1805306. doi: 10.1002/adfm.201805306 |
[34] | Balthasar Mueller J P, Rubin N A, Devlin R C, et al. Metasurface polarization optics: independent phase control of arbitrary orthogonal states of polarization[J]. Phys Rev Lett, 2017, 118(11): 113901. doi: 10.1103/PhysRevLett.118.113901 |
[35] | Guo J Y, Wang T, Quan B G, et al. Polarization multiplexing for double images display[J]. Opto-Electron Adv, 2019, 2(7): 180029. doi: 10.29026/oea.2019.180029 |
[36] | Deng L G, Deng J, Guan Z Q, et al. Malus-metasurface-assisted polarization multiplexing[J]. Light Sci Appl, 2020, 9: 101. doi: 10.1038/s41377-020-0327-7 |
[37] | Li J X, Chen Y Q, Hu Y Q, et al. Magnesium-based metasurfaces for dual-function switching between dynamic holography and dynamic color display[J]. ACS Nano, 2020, 14(7): 7892−7898. doi: 10.1021/acsnano.0c01469. |
[38] | Deng J, Deng L G, Guan Z Q, et al. Multiplexed anticounterfeiting meta-image displays with single-sized nanostructures[J]. Nano Lett, 2020, 20(3): 1830−1838. doi: 10.1021/acs.nanolett.9b05053 |
[39] | Wen D D, Cadusch J J, Meng J J, et al. Multifunctional dielectric metasurfaces consisting of color holograms encoded into color printed images[J]. Adv Funct Mater, 2020, 30(3): 1906415. doi: 10.1002/adfm.201906415 |
[40] | Deng J, Yang Y, Tao J, et al. Spatial frequency multiplexed meta-holography and meta-nanoprinting[J]. ACS Nano, 2019, 13(8): 9237−9246. doi: 10.1021/acsnano.9b03738 |
[41] | Zhang F, Pu M B, Gao P, et al. Simultaneous full-color printing and holography enabled by centimeter-scale plasmonic metasurfaces[J]. Adv Sci, 2020, 7(10): 1903156. doi: 10.1002/advs.201903156 |
[42] | 杨睿,于千茜,潘一苇,等. 基于片上超表面的多路方向复用全息术[J]. 光电工程, 2022, 49(10): 220177. doi: 10.12086/oee.2022.220177 Yang R, Yu Q Q, Pan Y W, et al. Directional-multiplexing holography by on-chip metasurface[J]. Opto-Electron Eng, 2022, 49(10): 220177. doi: 10.12086/oee.2022.220177 |
[43] | Berry M V. Quantal phase factors accompanying adiabatic changes[J]. Proc Roy Soc A Math Phys Eng Sci, 1984, 392(1802): 45−57. doi: 10.1098/rspa.1984.0023 |
[44] | Pancharatnam S. Generalized theory of interference, and its applications[J]. Proc Indian Acad Sci Sec A, 1956, 44(5): 247−262. doi: 10.1007/BF03046050 |
[45] | Xie X, Pu M B, Jin J J, et al. Generalized pancharatnam-berry phase in rotationally symmetric meta-atoms[J]. Phys Rev Lett, 2021, 126(18): 183902. doi: 10.1103/PhysRevLett.126.183902 |
[46] | Khorasaninejad M, Zhu A Y, Roques-Carmes C, et al. Polarization-insensitive metalenses at visible wavelengths[J]. Nano Lett, 2016, 16(11): 7229−7234. doi: 10.1021/acs.nanolett.6b03626 |
[47] | Chong K E, Staude I, James A, et al. Polarization-independent silicon metadevices for efficient optical wavefront control[J]. Nano Lett, 2015, 15(8): 5369−5374. doi: 10.1021/acs.nanolett.5b01752 |
[48] | Papadopoulos A, Nguyen T, Durmus E, et al. IllusionPIN: shoulder-surfing resistant authentication using hybrid images[J]. IEEE Trans Inf Forensics Secur, 2017, 12(12): 2875−2889. doi: 10.1109/TIFS.2017.2725199 |
[49] | Mannos J, Sakrison D. The effects of a visual fidelity criterion of the encoding of images[J]. IEEE Trans Inf Theory, 1974, 20(4): 525−536. doi: 10.1109/TIT.1974.1055250 |
[50] | Dai Q, Guan Z Q, Chang S, et al. A single-celled tri-functional metasurface enabled with triple manipulations of light[J]. Adv Funct Mater, 2020, 30(50): 2003990. doi: 10.1002/adfm.202003990 |
Metasurface, which is capable of flexibly controlling the polarization, amplitude, frequency, and phase of light waves, provides substantial possibilities for the development of high-performance, high-efficiency, and high-integrated optical systems. The precise control of optical properties is achieved mainly by adjusting shapes, geometric parameters, rotation states, multi-atom combination strategies, incident angles, or material refractive indexes of metasurfaces. This feature of multiple design degrees of freedom means that metasurfaces can be utilized for synchronously controlling multiple optical properties, and the information capacity, as well as functionality, can be greatly improved. For example, multiple nanoprinting image switching and encoding can be realized by establishing a coherent pixel design strategy. Near-field nanoprinting and far-field holographic image displays are simultaneously accomplished with a single metasurface, which combines amplitude and phase modulations by introducing orientation degeneracy.
In this paper, we propose and experimentally verify a multifunctional metasurface enabled by merging spatial frequency multiplexing and near- and far-field multiplexing. In near- and far-field multiplexing, the geometric phase modulation and the light intensity modulation are combined by introducing the orientation degeneracy of nanostructures. A “one-to-four” strategy is established to generate four different phase delays while keeping identical light intensity, then near-field nanoprinting and far-field holographic image displays are both successfully achieved with a single-sized metasurface. As is known, people receive different spatial frequency components of an image when the observation distance changes. Based on this principle, we chose the high-frequency component of an image (P1) and the low-frequency component of another image (P2) as the high-frequency and low-frequency images, and designed their hybrid image to be the target holographic image for spatial frequency multiplexing. In our work, SOI material is used to design and fabricate the multifunctional metasurface, and experimental results verify that three images (a grayscale image, a high-frequency image, and a low-frequency image) can be easily observed at different distances. Specifically, a polarizer and an analyzer are employed to realize specific polarization control for the near-field grayscale image decoding. On the other hand, the circularly polarized laser light is used to reconstruct the holographic image in the far-field, and then another two images can be decoded by high- and low-pass filtering. This work provides a new path for multifunctional metasurface design, and possesses broad applications in optical encryption, optical anti-counterfeiting, and many other related fields.
Schematic diagram of the multifunctional metasurface image display enabled by merging spatial frequency multiplexing and near- and far-field multiplexing
Unit-cell structure and optical manipulation principle of the multifunctional metasurface. (a) Illustration of the nanostructure unit-cell; (b) The relationship between geometric phase delay and the orientation angle of the nanobrick; (c) The relationship between the output intensity and the orientation angle of the nanobrick
Observation characteristics of the human eye and an example of spatial frequency multiplexing. (a) Illustration of the human eye's observation of a sine wave image; (b) Contrast sensitive functions; (c) Image P1; (d) Image P2; (e) Merged image Pi generated bycombining the high-frequency part of P1 and the low-frequency part of P2
Design flow chart and optimization results of the multifunctional metasurface. (a) Design flow chart of the multifunctional metasurface; (b) The final optimized orientation distribution of the multifunctional metasurface; (c) Simulated reflectivity of the cross-polarized and co-polarized parts under a normal circularly polarized light incidence; (d-g) The relationship between the total phase delay and the orientation angle of the nanobrick at different wavelengths
SOI metasurface sample fabrication process and localized SEM image of the sample. (a) SOI metasurface sample fabrication process; (b) Partial scanning electron microscope image of the sample
Experimental setups of the multifunctional metasurface. (a) General sketch and detailed illustration of the microscope to observe the grayscale nanoprinting image in the near-field; (b) The experimental setup to observe the holographic image in the far-field
Experimentally captured nanoprinting images in the near-field. (a) Experimental nanoprinting image under white light illumination; (b-e) Experimental nanoprinting images at different wavelengths
Design and experimental results of holographic images in the far-field. (a) Designed holographic image; (b-e) Experimentally captured holographic images at different wavelengths; (f) High spatial frequency components of the designed image; (g-j) High spatial frequency components of experimentally captured holographic images at different wavelengths; (k) Low spatial frequency component of the designed image; (l-o) Low spatial frequency components of experimentally captured holographic images at different wavelengths