• Chinese Optics Letters
  • Vol. 13, Issue Suppl., S21501 (2015)
Yuzhou Liu and Bin Zhao*
Author Affiliations
  • Department of Instrumentation, School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
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    DOI: 10.3788/COL201513.S21501 Cite this Article Set citation alerts
    Yuzhou Liu, Bin Zhao. Improving the accuracy of the phase difference in a high-frequency range finder[J]. Chinese Optics Letters, 2015, 13(Suppl.): S21501 Copy Citation Text show less

    Abstract

    We present a phase difference range system with about 1.5 GHz of modulation frequencies. To reduce the phase difference drift, the high-frequency signals are synthesized by digital fractional phase-locked loops, and a differential measurement method is employed by introducing an optical switch. In order to eliminate the electrical crosstalk, a photoelectric modulator working as a mixer is used. The experimental results show that the distance error of the proposed system is within ±0.04 mm and the phase difference error is less than 0.15°.
    d=c2f·ϕ2π,(1)

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    δd=c4πfδϕ.(2)

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    em=Asin(2πft),(3)

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    ep=Bsin(2πft+α),(4)

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    el=Csin(2πft+β),(5)

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    ea=ep+el=Dsin(2πft+γ),(6)

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    γ=arctan(C/B)sinβ+sinα(C/B)cosβ+cosα.(7)

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    Δϕ=γα=arctan(C/B)sin(βα)1+(C/B)cos(βα)=arctan(C/B)sin(β4πfd/c)1+(C/B)cos(β4πfd/c).(8)

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    Δd=c4πfarctan(C/B)sin(β4πfd/c)1+(C/B)cos(β4πfd/c).(9)

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    Δd=c4πf[a(d2+b)sin(θ4πfdc)],(10)

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    Δd=c4πfCBsin(β4πfdc).(11)

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    ϕ=(ϕ1ϕ2)(ϕ01ϕ02).(12)

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    Yuzhou Liu, Bin Zhao. Improving the accuracy of the phase difference in a high-frequency range finder[J]. Chinese Optics Letters, 2015, 13(Suppl.): S21501
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