Acta Optica Sinica, Volume. 42, Issue 9, 0912006(2022)

Nano-Opto-Electromechanical Magnetic Vector Sensor Design Based on Black Phosphorus

Wenyao Liu1,2, Chenxi Liu1,2, Wei Li1,2, Enbo Xing1,2, Yanru Zhou1、*, Jianjun Chen2, Jun Tang1,2, and Jun Liu1,2、**
Author Affiliations
  • 1Shanxi Province Key Laboratory of Quantum Sensing and Precision Measurement, North University of China, Taiyuan 0 30051, Shanxi, China
  • 2State Key Laboratory of Dynamic Measurement Technology, North University of China, Taiyuan 0 30051, Shanxi, China
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    Figures & Tables(11)
    Structure and mechanical anisotropy of 2D black phosphorus material. (a) Schematic diagram of material structure; (b) diagram of mechanical anisotropy
    Resonant frequency as a function of stress loading angle in different resonant modes for graphene and BP. (a) Graphene; (b) BP
    BP NOEMS sensor. (a) 3D schematic diagram; (b) top view; (c) optical driving and readout system
    Resonant frequency and frequency difference in orthogonal direction of BP for different number of layers and length-width ratio. (a) Resonant frequency varying with number of layers; (b) resonant frequency varying with length-width ratio
    Spatial distributions of resonant fundamental modes varying with length-width ratio
    Polar coordinate diagram of three resonant modes of BP resonator (insert is spatial directivity of three resonant modes)
    Fundamental resonance frequency of BP varying with magnetic field intensity B0 at different angles. (a) Length-width ratio is 4; (b) length-width ratio is 4.5; (c) length-width ratio is 5
    Resonant frequency varying with magnetic field intensity for length-width ratio of 4.5 and its linear fitting in range of 40-100 mT
    Sensitivity and nonlinear error of device under different angle
    • Table 1. Material mechanical parameters

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      Table 1. Material mechanical parameters

      MaterialParameterValue
      Density /(kg·m-3)2690
      BP[27]Poisson’s ratio0.62, 0.17, 0
      Young’s modulus /GPa166, 44, 0.24
      Shear modulus /(N·m-2)41, 41, 0.24
      Density /(kg·m-3)9250
      Conductivity /(S·m-1)1.66×107
      Young’s modulus /Pa4×1010
      Poisson’s ratio0.45
      Terfenol-D[28]Saturation magnetization /(A·m-1)6.36×107
      Initial magneticsusceptibility18
      Saturation magnetostrictioncoefficient8×10-4
    • Table 2. Linear fitting parameters of structures with magnetic field of 40--100 mT at length-width ratio of 4.5

      View table

      Table 2. Linear fitting parameters of structures with magnetic field of 40--100 mT at length-width ratio of 4.5

      Parameter15°30°45°60°75°90°
      Slope-4.048-3.2210.7993.2254.7885.5955.796
      Intercept489.305472.033392.420381.643385.917392.793396.197
      Residual0.998190.997540.921170.970850.973010.927640.97202
      Non-linear error /%2.0222.2259.3635.6115.2974.8954.583
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    Wenyao Liu, Chenxi Liu, Wei Li, Enbo Xing, Yanru Zhou, Jianjun Chen, Jun Tang, Jun Liu. Nano-Opto-Electromechanical Magnetic Vector Sensor Design Based on Black Phosphorus[J]. Acta Optica Sinica, 2022, 42(9): 0912006

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    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: Jan. 21, 2022

    Accepted: Feb. 21, 2022

    Published Online: May. 6, 2022

    The Author Email: Zhou Yanru (zhouyanru@nuc.edu.cn), Liu Jun (liuj@ nuc.edu.cn)

    DOI:10.3788/AOS202242.0912006

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