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ZHANG Zhen-yu, ZHANG Wei, LIU Rui, ZHANG Jing-ying, LI Wen-hao. Simultaneous measurement of radial angular displacement and longitudinal linear displacement with cascade metasurfaces[J]. Chinese Optics. doi: 10.37188/CO.2025-0033
Citation: ZHANG Zhen-yu, ZHANG Wei, LIU Rui, ZHANG Jing-ying, LI Wen-hao. Simultaneous measurement of radial angular displacement and longitudinal linear displacement with cascade metasurfaces[J]. Chinese Optics. doi: 10.37188/CO.2025-0033

Simultaneous measurement of radial angular displacement and longitudinal linear displacement with cascade metasurfaces

cstr: 32171.14.CO.2025-0033
Funds:  Supported by CAS Project for Young Scientists in Basic Research (No. YSBR-103); Chinese Academy of Sciences Youth Innovation Promotion Association (No. 2021220); Jilin Province and CAS science and technology cooperation in high-tech industrialization of special projects (No. 2024SYHZ0018); Jilin Provincial Science and Technology Development Program of Science and Technology Conditions and Platform Construction Program (No. 20220505001ZP)
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  • Corresponding author: liwh@ciomp.ac.cn
  • Received Date: 03 Mar 2025
  • Accepted Date: 14 Apr 2025
  • Available Online: 21 May 2025
  • To solve the problem of existing metasurface displacement measurement techniques unable to measure multiple physical quantities simultaneously, this paper proposes a metasurface cascade structure that can measure radial angular displacement and longitudinal line displacement simultaneously. First, the working principle of displacement measurement is described according to the joint phase modulation of circular polarized light by a cascade metasurface. Second, the displacement information carried by the phase delay is analyzed using the Jones transport matrix, and the angular and linear displacements are mathematically characterized. Then, the design objective is used as a constraint to optimize unit structure parameters and create metasurface models. Finally, the finite-difference time-domain method is used to simulate the metasurface structures, validate the method's feasibility, and evaluate the device's measurement performance. The results show that the angular displacement sensitivity was 0.9716 with a theoretical resolution of 34.27 μrad, and the linear displacement sensitivity was 0.0041 with a theoretical resolution of 8.12 nm at the working wavelength of 633 nm. The measurement freedom of metasurface displacement measurement technology is improved by this method. It is hoped that it can be further expanded to six dimensions so that the measured target's entire attitude can be determined.

     

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