Photonics Research, Volume. 13, Issue 7, 1821(2025)

Radiation-type space-time metasurface for arbitrary beamforming by simultaneous and independent modulation of amplitude and phase for orthogonal polarization

Lixin Jiang1, Hao Yang1, Yongfeng Li1、*, Wanwan Yang1, Yongqiang Pang2, Jinming Jiang1, Zhe Qin1, Mingbao Yan1, Yueyu Meng1, Lin Zheng1, Wenjie Wang1, Jiafu Wang1, and Shaobo Qu1
Author Affiliations
  • 1Shaanxi Key Laboratory of Artificially-Structured Functional Materials and Devices, Airforce Engineering University, Xi’an 710051, China
  • 2Electronic Materials Research Laboratory Key Laboratory of Ministry of Education, Xi’an Jiaotong University, Xi’an 710049, China
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    Figures & Tables(15)
    The proposed framework for the RASM.
    Schematic diagram of the meta-atom structure. (a) 3D structural diagram, h1=3.248 mm, h2=0.2 mm, h3=0.5 mm. (b) The front view of the meta-atom. The optimized geometrical parameters are as follows: p=25 mm, l1=10 mm, l2=6 mm, l3=3 mm, l4=7.4 mm, l5=2 mm, w1=4 mm, w2=5 mm, w3=1.9 mm, w4=3.4 mm, g1=0.7 mm, g2=0.1 mm, g3=0.1 mm, k1=0.2 mm, r1=0.8 mm. (c) The phase shift network. The biasing layer for (d) varactors and (e) PIN diodes.
    The simulated surface currents at 6.4 GHz. (a) Vx=0 and Vy=−v0. (b) Vx=0 and Vy=v0. (c) Vx=−v0 and Vy=0. (d) Vx=v0 and Vy=0. (e) V1=−v1. (f) V1=+v1.
    The simulated performance of the meta-atom. (a) The simulated S11 in four states. (b) The realized gain and phase varying with frequency. The simulated radiation pattern in four states: (c) realized gain and (d) phase. The measured (e) S11 and (f) realized gain and phase varying with frequency for y-polarization when all meta-atoms maintain the same state.
    (a) The bottom power division network and PSN. (b) The detailed structure of the power division network, and d1=1.9 mm, d2=0.75 mm, d3=1.6 mm, d4=1.734 mm, d5=1.06 mm, q1=2.94 mm, q2=4 mm, q3=12.3 mm. (c) S11 and (d) S21 and S31 of the power division network.
    (a) The ideal phase distribution corresponding to the scanning angle. (b) The ideal amplitude distribution for different SLLs. (c) The amplitude difference between the actual generated amplitude and the target amplitude for different L. (d) The phase difference between the actual generated phase and the target phase for different L.
    MAX(SBL) that varies with L.
    The time-coding sequences for θ=10° with (a) SLL=−13 dB and (c) SLL=−30 dB. The simulated radiation patterns with (b) SLL=−13 dB and (d) SLL=−30 dB.
    (a) Power spectrum corresponding to stochastic and sequential distributions of time-coding sequences. (b) The power spectrum for modulation periods τq=[1+0.09(q−1)] μs and τq=1 μs. (c) The power spectrum for SLL=−13.5 dB and SLL=−30 dB. (d) Power spectrum for L=50 and L=1000.
    The (a) front and (b) back of the prototype. (c) The measurement setup.
    Measured beams scanning at (a) 6.2 GHz, (b) 6.4 GHz, and (c) 6.6 GHz for SLL=−13.5 dB. Measured time-modulated power spectrum of the prototype with SLL=−13.5 dB, θ=10°, and L=1000 at (d) 6.2 GHz, (e) 6.4 GHz, and (f) 6.6 GHz.
    The simulated (a) S11 and (b) realized gain and phase varying with frequency for x-polarization. (c) Measured beam scanning at 6.4 GHz for x-polarization with SLL=−13.5 dB. (d) Measured time-modulated power spectrum of the prototype for x-polarization with SLL=−13.5 dB and θ=10°.
    The equivalent amplitude varying with the number of “none” states.
    • Table 1. Operation Status of the Meta-Atom

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      Table 1. Operation Status of the Meta-Atom

      VxVyV1Coding States
      0000
      0v0v1y0°
      0v0+v1y90°
      0+v0v1y180°
      0+v0+v1y270°
      +v00v1x0°
      +v00+v1x90°
      v00v1x180°
      v00+v1x270°
    • Table 2. Performance Comparison

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      Table 2. Performance Comparison

      Ref.fcf0SBL (dB)SLL (dB)δt (dB)δh (dB)ηt (%)η (%)
      [44]1.16 GHz21.9 kHz−19−401579.425
      [38]17 GHz500 kHz−30−36.534.85016.6
      [45]2.45 GHz10 kHz−24.1−30148031.6
      [46]3.25 GHz100 kHz−28−30137839.8
      [47]2.6 GHz100 kHz−14−212.537537.5
      [48]9 GHz500 kHz−31.4−13.52.883.451.523.6
      Proposed6.4 GHz1  MHz−38−303.10.8948.939.9
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    Lixin Jiang, Hao Yang, Yongfeng Li, Wanwan Yang, Yongqiang Pang, Jinming Jiang, Zhe Qin, Mingbao Yan, Yueyu Meng, Lin Zheng, Wenjie Wang, Jiafu Wang, Shaobo Qu, "Radiation-type space-time metasurface for arbitrary beamforming by simultaneous and independent modulation of amplitude and phase for orthogonal polarization," Photonics Res. 13, 1821 (2025)

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    Paper Information

    Category: Surface Optics and Plasmonics

    Received: Nov. 29, 2024

    Accepted: Mar. 12, 2025

    Published Online: Jun. 18, 2025

    The Author Email: Yongfeng Li (liyf217130@126.com)

    DOI:10.1364/PRJ.550482

    CSTR:32188.14.PRJ.550482

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