• Acta Optica Sinica
  • Vol. 42, Issue 9, 0912006 (2022)
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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    DOI: 10.3788/AOS202242.0912006 Cite this Article Set citation alerts
    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 Copy Citation Text show less
    Structure and mechanical anisotropy of 2D black phosphorus material. (a) Schematic diagram of material structure; (b) diagram of mechanical anisotropy
    Fig. 1. 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
    Fig. 2. 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
    Fig. 3. 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
    Fig. 4. 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
    Fig. 5. 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)
    Fig. 6. 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
    Fig. 7. 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
    Fig. 8. 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
    Fig. 9. Sensitivity and nonlinear error of device under different angle
    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 1. Material mechanical parameters
    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
    Table 2. Linear fitting parameters of structures with magnetic field of 40--100 mT at length-width ratio of 4.5
    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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