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Chen Y, Zhang SM, Tian Y et al. Focus control of wide-angle metalens based on digitally encoded metasurface. Opto-Electron Adv 7, 240095 (2024). doi: 10.29026/oea.2024.240095
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Focus control of wide-angle metalens based on digitally encoded metasurface
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Abstract
Based on the principle of super-symmetric lens with quadratic phase gradient transformation, combined with the principle of digital coding of metasurface, we propose a wide-angle coded metalens for focusing control in two-dimensional space. This metalens achieves focus shift in the x-direction by changing the oblique incidence angle of the incident wave, and focus control in the y-direction by combining with the convolution principle of the digitally coded metasurface to achieve flexible control of light focusing in the two-dimensional plane. The metasurface unit is mainly composed of three-layer of metal structure and two layers of medium, and the transmission phase is obtained by changing the middle layer of metal structure, which in turn obtains the required phase distribution of the metalens. The design of the metalens realizes the function of the lens with a large viewing angle at the x-polarized incidence, and realizes two-dimensional focus control. Experimentally, we prepared the designed coding metalens and tested the focus control function of the wide-angle coding metalens. The experimental results are in good agreement with the design results.-
Keywords:
- metasurface /
- metalens /
- wide-angle /
- coding
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References
[1] Zahra S, Ma L, Wang WJ et al. Electromagnetic metasurfaces and reconfigurable metasurfaces: a review. Front Phys 8, 593411 (2021). doi: 10.3389/fphy.2020.593411 [2] Hu J, Bandyopadhyay S, Liu YH et al. A review on metasurface: from principle to smart metadevices. Front Phys 8, 586087 (2021). doi: 10.3389/fphy.2020.586087 [3] Liu BY, Ren B, Zhao JJ et al. Experimental realization of all-angle negative refraction in acoustic gradient metasurface. Appl Phys Lett 111, 221602 (2017). doi: 10.1063/1.5004005 [4] Panov AV. Possibility of negative refraction for visible light in disordered all-dielectric resonant high index metasurfaces. Optik 206, 163739 (2020). doi: 10.1016/j.ijleo.2019.163739 [5] Zhang Y, Yang L, Li XK et al. Dual functionality of a single-layer metasurface: polarization rotator and polarizer. J Opt 22, 035101 (2020). doi: 10.1088/2040-8986/ab68ee [6] Pfeiffer C, Zhang C, Ray V et al. Polarization rotation with ultra-thin bianisotropic metasurfaces. Optica 3, 427–432 (2016). doi: 10.1364/OPTICA.3.000427 [7] Yue Z, Li JT, Li J, Zheng CL, Liu JY et al. Terahertz metasurface zone plates with arbitrary polarizations to a fixed polarization conversion. Opto-Electron Sci 1, 210014 (2022). doi: 10.29026/oes.2022.210014 [8] Shen C, Xie YB, Li JF et al. Asymmetric acoustic transmission through near-zero-index and gradient-index metasurfaces. Appl Phys Lett 108, 223502 (2016). doi: 10.1063/1.4953264 [9] Boubakri A, Choubeni F, Vuong TH et al. A near zero refractive index metalens to focus electromagnetic waves with phase compensation metasurface. Opt Mater 69, 432–436 (2017). doi: 10.1016/j.optmat.2017.05.001 [10] Badloe T, Kim I, Kim Y et al. Electrically tunable bifocal metalens with diffraction-limited focusing and imaging at visible wavelengths. Adv Sci 8, 2102646 (2021). doi: 10.1002/advs.202102646 [11] Zhang YQ, Zeng XY, Ma L et al. Manipulation for superposition of orbital angular momentum states in surface Plasmon polaritons. Adv Opt Mater 7, 1900372 (2019). doi: 10.1002/adom.201900372 [12] Yan C, Li X, Pu MB et al. Generation of polarization-sensitive modulated optical vortices with all-dielectric metasurfaces. ACS Photonics 6, 628–633 (2019). doi: 10.1021/acsphotonics.8b01119 [13] Zhu WG, Jiang MJ, Guan HY et al. Tunable spin splitting of Laguerre–Gaussian beams in graphene metamaterials. Photonics Res 5, 684–688 (2017). doi: 10.1364/PRJ.5.000684 [14] Zhang XH, Tang DL, Zhou L et al. A quasi-continuous all-dielectric metasurface for broadband and high-efficiency holographic images. J Phys D Appl Phys 53, 465105 (2020). doi: 10.1088/1361-6463/abaa70 [15] Song QH, Baroni A, Sawant R et al. Ptychography retrieval of fully polarized holograms from geometric-phase metasurfaces. Nat Commun 11, 2651 (2020). doi: 10.1038/s41467-020-16437-9 [16] Wu Y, Tan SJ, Zhao Y et al. Broadband multispectral compatible absorbers for radar, infrared and visible stealth application. Prog Mater Sci 135, 101088 (2023). doi: 10.1016/j.pmatsci.2023.101088 [17] Azad AK, Kort-Kamp WJM, Sykora M et al. Metasurface broadband solar absorber. Sci Rep 6, 20347 (2016). doi: 10.1038/srep20347 [18] Li NX, Fu YH, Dong Y et al. Large-area pixelated metasurface beam deflector on a 12-inch glass wafer for random point generation. Nanophotonics 8, 1855–1861 (2019). doi: 10.1515/nanoph-2019-0208 [19] Tian Y, Jing XF, Gan HY et al. Free control of far-field scattering angle of transmission terahertz wave using multilayer split-ring resonators’ metasurfaces. Front Phys 15, 62502 (2020). doi: 10.1007/s11467-020-1013-1 [20] Lv HR, Lu XQ, Han YS et al. Multifocal metalens with a controllable intensity ratio. Opt Lett 44, 2518–2521 (2019). doi: 10.1364/OL.44.002518 [21] Zhang CB, Xue TJ, Zhang J et al. Terahertz meta-biosensor based on high-Q electrical resonance enhanced by the interference of toroidal dipole. Biosens Bioelectron 214, 114493 (2022). doi: 10.1016/j.bios.2022.114493 [22] Zhang CB, Xue TJ, Zhang J et al. Terahertz toroidal metasurface biosensor for sensitive distinction of lung cancer cells. Nanophotonics 11, 101–109 (2022). [23] Zhang J, Mu N, Liu LH et al. Highly sensitive detection of malignant glioma cells using metamaterial-inspired THz biosensor based on electromagnetically induced transparency. Biosens Bioelectron 185, 113241 (2021). doi: 10.1016/j.bios.2021.113241 [24] Guan HY, Hong JY, Wang XL et al. Broadband, high-sensitivity graphene photodetector based on ferroelectric polarization of lithium niobate. Adv Opt Mater 9, 2100245 (2021). doi: 10.1002/adom.202100245 [25] Li ZH, Liu HP, Zhang XM et al. Metasurface of deflection prism phases for generating non-diffracting optical vortex lattices. Opt Express 26, 28228–28237 (2018). doi: 10.1364/OE.26.028228 [26] Cheng Y, Cao WH, Wang GQ et al. 3D Dirac semimetal supported thermal tunable terahertz hybrid plasmonic waveguides. Opt Express 31, 17201–17214 (2023). doi: 10.1364/OE.487256 [27] Liu SL, Cao WH, Jiang SZ et al. 3D Dirac semimetal supported tunable multi-frequency terahertz metamaterial absorbers. Adv Quantum Technol 7, 2300386 (2024). doi: 10.1002/qute.202300386 [28] Lv HR, Lu XQ, Han YS et al. Metasurface cylindrical vector light generators based on nanometer holes. New J Phys 21, 123047 (2019). doi: 10.1088/1367-2630/ab5f44 [29] Wang H, Liu LX, Zhou CD et al. Vortex beam generation with variable topological charge based on a spiral slit. Nanophotonics 8, 317–324 (2019). doi: 10.1515/nanoph-2018-0214 [30] Jiang MJ, Zhu WG, Guan HY et al. Giant spin splitting induced by orbital angular momentum in an epsilon-near-zero metamaterial slab. Opt Lett 42, 3259–3262 (2017). doi: 10.1364/OL.42.003259 [31] Zhang RZ, Guo YH, Li XY et al. Angular superoscillatory metalens empowers single-shot measurement of OAM modes with finer intervals. Adv Opt Mater 12, 2300009 (2024). doi: 10.1002/adom.202300009 [32] Li XY, Chen C, Guo YH et al. Monolithic spiral metalens for ultrahigh-capacity and single-shot sorting of full angular momentum state. Adv Funct Mater 34, 2311286 (2024). doi: 10.1002/adfm.202311286 [33] Zhang S, Li CX, Ke L et al. All-dielectric terahertz wave metagrating lens based on 3D printing low refractive index material. Infrared Phys Technol 133, 104775 (2023). doi: 10.1016/j.infrared.2023.104775 [34] He XY, Lin FT, Liu F et al. 3D Dirac semimetals supported tunable terahertz BIC metamaterials. Nanophotonics 11, 4705–4714 (2022). doi: 10.1515/nanoph-2022-0285 [35] Lu XQ, Zeng XY, Lv HR et al. Polarization controllable plasmonic focusing based on nanometer holes. Nanotechnology 31 , 135201 (2020). [36] Li JT, Li J, Zheng CL et al. Free switch between bound states in the continuum (BIC) and quasi-BIC supported by graphene-metal terahertz metasurfaces. Carbon 182, 506–515 (2021). doi: 10.1016/j.carbon.2021.06.037 [37] Li JT, Li J, Zheng CL et al. Dynamic control of reflective chiral terahertz metasurface with a new application developing in full grayscale near field imaging. Carbon 172, 189–199 (2021). doi: 10.1016/j.carbon.2020.09.090 [38] Paniagua-Domínguez R, Yu YF, Khaidarov E et al. A metalens with a near-unity numerical aperture. Nano Lett 18, 2124–2132 (2018). doi: 10.1021/acs.nanolett.8b00368 [39] Wang SM, Wu PC, Su VC et al. Broadband achromatic optical metasurface devices. Nat Commun 8, 187 (2017). doi: 10.1038/s41467-017-00166-7 [40] Gao YF, Gu JQ, Jia RD et al. Polarization independent achromatic meta-lens designed for the terahertz domain. Front Phys 8, 606693 (2020). doi: 10.3389/fphy.2020.606693 [41] Pu MB, Li X, Guo YH et al. Nanoapertures with ordered rotations: symmetry transformation and wide-angle flat lensing. Opt Express 25, 31471–31477 (2017). doi: 10.1364/OE.25.031471 [42] Guo YH, Ma XL, Pu MB et al. High-efficiency and wide-angle beam steering based on catenary optical fields in ultrathin metalens. Adv Opt Mater 6, 1800592 (2018). doi: 10.1002/adom.201800592 [43] Zhang F, Pu MB, Li X et al. Extreme-angle silicon infrared optics enabled by streamlined surfaces. Adv Mater 33, 2008157 (2021). doi: 10.1002/adma.202008157 [44] Guo YH, Zhang ZJ, Pu MB et al. Spoof plasmonic metasurfaces with catenary dispersion for two-dimensional wide-angle focusing and imaging. iScience 21, 145–156 (2019). doi: 10.1016/j.isci.2019.10.019 [45] Guo YH, Zhang SC, Pu MB et al. Spin-decoupled metasurface for simultaneous detection of spin and orbital angular momenta via momentum transformation. Light Sci Appl 10, 63 (2021). doi: 10.1038/s41377-021-00497-7 [46] Zhang F, Guo YH, Pu MB et al. Meta-optics empowered vector visual cryptography for high security and rapid decryption. Nat Commun 14, 1946 (2023). doi: 10.1038/s41467-023-37510-z [47] Liu S, Cui TJ, Zhang L et al. Convolution operations on coding metasurface to reach flexible and continuous controls of terahertz beams. Adv Sci 3, 1600156 (2016). doi: 10.1002/advs.201600156 [48] Yu NF, Genevet P, Kats MA et al. Light propagation with phase discontinuities: generalized laws of reflection and refraction. Science 334, 333–337 (2011). doi: 10.1126/science.1210713 [49] Wu RY, Shi CB, Liu S et al. Addition theorem for digital coding metamaterials. Adv Opt Mater 6, 1701236 (2018). doi: 10.1002/adom.201701236 [50] Ha YL, Luo Y, Pu MB et al. Physics-data-driven intelligent optimization for large-aperture metalenses. Opto-Electron Adv 6, 230133 (2023). doi: 10.29026/oea.2023.230133 [51] Kan YH, Bozhevolnyi SI, Kumar S. Large spontaneous emission enhancement with silver nanocube dimers on silver substrates. Adv Quantum Technol 6, 2300196 (2023). doi: 10.1002/qute.202300196 [52] Chen J, Wang DP, Si GY et al. Planar peristrophic multiplexing metasurfaces. Opto-Electron Adv 6, 220141 (2023). doi: 10.29026/oea.2023.220141 [53] Howard S, Esslinger J, Wang RHW et al. Hyperspectral compressive wavefront sensing. High Power Laser Sci Eng 11, e32 (2023). doi: 10.1017/hpl.2022.35 [54] Achouri K, Tiukuvaara V, Martin OJF. Spatial symmetries in nonlocal multipolar metasurfaces. Adv Photonics 5, 046001 (2023). [55] Liu ZY, Wang DY, Gao H et al. Metasurface-enabled augmented reality display: a review. Adv Photonics 5, 034001 (2023). [56] Cui DZ, Yi XX, Yang LP. Quantum imaging exploiting twisted photon pairs. Adv Quantum Technol 6, 2300037 (2023). doi: 10.1002/qute.202300037 [57] Wang GQ, Madonini F, Li BN et al. Fast wide-field quantum sensor based on solid-state spins integrated with a SPAD array. Adv Quantum Technol 6, 2300046 (2023). doi: 10.1002/qute.202300046 [58] Huang YJ, Xiao TX, Chen S et al. All-optical controlled-NOT logic gate achieving directional asymmetric transmission based on metasurface doublet. Opto-Electron Adv 6, 220073 (2023). doi: 10.29026/oea.2023.220073 [59] Du WY, Zhu MP, Shi J et al. Effect of subsurface impurity defects on laser damage resistance of beam splitter coatings. High Power Laser Sci Eng 11, e61 (2023). doi: 10.1017/hpl.2023.37 [60] Döpp A, Eberle C, Howard S et al. Data-driven science and machine learning methods in laser–plasma physics. High Power Laser Sci Eng 11, e55 (2023). doi: 10.1017/hpl.2023.47 [61] Khazanov E. Reducing laser beam fluence and intensity fluctuations in symmetric and asymmetric compressors. High Power Laser Sci Eng 11, e93 (2023). doi: 10.1017/hpl.2023.83 [62] Koshelev KL, Tonkaev P, Kivshar YS. Nonlinear chiral metaphotonics: a perspective. Adv Photonics 5, 064001 (2023). [63] Zhao BY, Mertz J. Resolution enhancement with deblurring by pixel reassignment. Adv Photonics 5, 066004 (2023). [64] Li Y, Huang XJ, Liu SX, Liang HW, Ling YY et al. Metasurfaces for near-eye display applications. Opto-Electron Sci 2, 230025 (2023). doi: 10.29026/oes.2023.230025 [65] Gao H, Fan XH, Wang YX et al. Multi-foci metalens for spectra and polarization ellipticity recognition and reconstruction. Opto-Electron Sci 2, 220026 (2023). doi: 10.29026/oes.2023.220026 [66] Xiao YT, Chen LW, Pu MB et al. Improved spatiotemporal resolution of anti-scattering super-resolution label-free microscopy via synthetic wave 3D metalens imaging. Opto-Electron Sci 2, 230037 (2023). doi: 10.29026/oes.2023.230037 [67] Bao B, Hua Y, Wang RD et al. Quantum-based magnetic field sensors for biosensing. Adv Quantum Technol 6, 2200146 (2023). doi: 10.1002/qute.202200146 [68] Geller MR. Fast quantum state discrimination with nonlinear positive trace-preserving channels. Adv Quantum Technol 6, 2200156 (2023). doi: 10.1002/qute.202200156 [69] Liang Y, Dong YY, Jin YX et al. Terahertz vortex beams generated by the ring-arranged multilayer transmissive metasurfaces. Infrared Phys Technol 127, 104441 (2022). doi: 10.1016/j.infrared.2022.104441 -
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Chen Y, Zhang SM, Tian Y et al. Focus control of wide-angle metalens based on digitally encoded metasurface. Opto-Electron Adv 7, 240095 (2024). doi: 10.29026/oea.2024.240095
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Figure 1.
Schematic diagram of metalens unit.
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Figure 2.
(a) Scattering characteristics of the unit structure in the range of 6 to 9 GHz. (b) Curves of the phase and transmission amplitude of the unit with respect to the interlayer circular angle α and symmetry direction β at 8 GHz. (c) Transmission amplitude diagram of the unit structure in the range of −60° to 60°.
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Figure 3.
Schematic diagram of wide-angle metalens focusing.
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Figure 4.
Normalized electric field intensity distribution of the metalens in the x-z plane for θ = −45°, θ = 0°, θ = 30°, θ = 60° at an operating frequency of 8 GHz. (a) Shows the electric field intensity distribution of the metalens with linear phase distribution. (b) Shows the electric field intensity distribution of the wide-angle metalens with quadratic phase distribution.
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Figure 5.
Transmission amplitude plot (a) and phase distribution (b) of the coding unit in the 6-9 GHz range.
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Figure 6.
Coding patterns of each coding sequence (a−d) are the coding patterns of coding sequence S0 after convolution operation with coding sequences S1 (TS1=12p), S2 (TS2=16p), S3 (TS3=32p), and S4 (TS4=40p), respectively. i) is the coding sequence S0, ii) from top to bottom are S1, S2, S3, S4, iii) the coding sequence after convolution.
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Figure 7.
In the operating frequency of 8 GHz, the normalized electric field intensity distribution on the x-y plane and the y-z plane of the plane wave normal incidence metalens. (a) S0 and S1 are convolved to produce a 51° deflection in the y direction. (b) S0 and S2 are convoluted, a deflection of 38° is produced in the y direction. (c) After convolution of S0 and S3, a deflection of 18° is produced in the y direction. (d) After convolution of S0 and S4, a deflection of 14° is produced in the y direction.
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Figure 8.
In the mixed encoding mode, the normalized electric field intensity distribution of the metalens on the x-y plane and the y-z plane. (a) After the coding sequences S3 and S4 are mixed, the focus of the metalens is deflected by 34° along the y-axis direction. (b) After the encoding sequence S3 and the reverse encoding sequence S1 are mixed, the focus of the metalens is deflected by −31° along the y-axis direction.
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Figure 9.
In the operating frequency of 8 GHz, when the light wave is obliquely incident on the metalens, the normalized electric field intensity distribution on the x-y plane and the y-z plane. (a−d) are the convolution of the coding sequence S0 with S1, S2, S3 and S4 in the y direction respectively, the light wave is incident obliquely on the metalens at an angle of 30°, resulting in a normalized electric field intensity distribution of focus shift. From the column (i), it is observed that the focus shifts in the x and y directions simultaneously. From the column (ii), it is observed that the oblique incidence of the incident wave to the metalens does not change the deflection angle in the y direction, but the focus is offset in the y direction, it is also given an offset in the x-direction, realizing flexible control of the focus in two-dimensional plane.
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Figure 10.
Normalized electric field intensity distribution of the coded metalens based on the addition theorem. (a) is the normalized electric field distribution of the x-y section and the y-z section after the addition of the 2-bit coding sequence S7 (0123) with a period of 16p and the 2-bit coding sequence S8 (0123) with a period of 32p. The offset angles of the two focuses are of 18° and 38°, respectively. (b) is the normalized electric field distribution of the x-y cross-section and the y-z cross-section after the reverse addition operation of the 2-bit coding sequence S7 (0123) with a period of 16p and the 2-bit coding sequence S8 (0123) with a period of 32p.
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Figure 11.
Physical picture of the middle structural layer of the metalens sample. (a) The metasurface obtained by convolving S0 (focused coding sequence) and S3 (coding sequence with the period of 32p). (b) The metasurface obtained by convolving S0 (focused coding sequence) and S2 (coding sequence with period 16p). (c) The metasurface after mixed coding of the coding sequence S3 and the reverse coding sequence S1. (d) The metasurface obtained using the addition principle of digitally encoded metasurfaces.
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Figure 12.
Experimental testing platform.
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Figure 13.
The experimental test of the metasurface on the x-y plane (i) and y-z plane (ii) in the normal incidence. (a) The light intensity distribution of metasurface focusing effect after S2 sequence convolution. (b) The light intensity distribution of metasurface focusing effect after S3 sequence convolution. (c) The light intensity distribution of the metasurface focusing effect after mixed encoding of the encoding sequence S3 and the reverse encoding sequence S1. (d) The light intensity distribution of multi-focus metasurface realized using the additive principle.
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Figure 14.
The focusing effect of the metasurface in the 30° oblique incidence. (a−d) are the focused light intensity distribution on the x-y plane of the four metasurface samples, respectively.
