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Chinese Journal of Lasers, Volume. 45, Issue 11, 1104002(2018)

Ranging Technology for Frequency Modulated Continuous Wave Laser Based on Phase Difference Frequency Measurement

Ji Ningke1, Zhang Fumin1, Qu Xinghua1, Zhang Tong1, Zhang Tieli2, Liu Xiaoxu2, and Xie Yang2
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  • 1[in Chinese]
  • 2[in Chinese]
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    AbstractGet PDF(in Chinese)
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    (a) Curves of modulated frequency versus time; (b) a serious broadened spectrum signal

    Fig. 1. (a) Curves of modulated frequency versus time; (b) a serious broadened spectrum signal

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    Schematic of FMCW ranging system with double optical path

    Fig. 2. Schematic of FMCW ranging system with double optical path

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    Schematic of phase difference signal delay

    Fig. 3. Schematic of phase difference signal delay

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    Theoretical distance and distances obtained from phase difference frequency measurement algorithm and FFT. (a) Whole curves; (b) partial enlarged figure

    Fig. 4. Theoretical distance and distances obtained from phase difference frequency measurement algorithm and FFT. (a) Whole curves; (b) partial enlarged figure

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    Residual errors between theoretical distance and distance from phase difference frequency measurement or FFT

    Fig. 5. Residual errors between theoretical distance and distance from phase difference frequency measurement or FFT

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    Physical photo of the measurement system

    Fig. 6. Physical photo of the measurement system

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    Measurement stability at different positions

    Fig. 7. Measurement stability at different positions

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    (a) Measured distance with the phase difference frequency measurement algorithm; (b) measuring range residual error with two methods

    Fig. 8. (a) Measured distance with the phase difference frequency measurement algorithm; (b) measuring range residual error with two methods

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    • Table 1. Theoretical distance and distances obtained from phase difference frequency measurement algorithm and FFT at different positions

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      Table 1. Theoretical distance and distances obtained from phase difference frequency measurement algorithm and FFT at different positions

      PositionM valueDecimal partvalue mTheoreticaldistance /mmPhase differencealgorithm(average) /mmFouriertransform(average) /mm
      169929-0.26967510258.43010258.43810258.398
      2632370.0813939276.7259276.7219276.733
      3605600.4220028884.0208884.0058884.067
      457215-0.4023228393.2708393.2948393.235
      553869-0.2271337902.4257902.4357902.402
      650523-0.0514197411.5747411.5777411.570
      7471770.1242236920.7256920.7196920.737
      8438310.2999336429.8806429.8616429.905
      940419-0.4413535929.2985929.3215929.256
      1037073-0.2656015438.4495438.4625438.423
      1133727-0.0898564947.5984947.6044947.591
      12303810.0855814456.7514456.7464456.759
      13270350.2612683965.8983965.8883965.926
      14236890.4367703475.0523475.0303475.094
      1520344-0.3879052984.2962984.3182984.261
      1616998-0.2121282493.4462493.4602493.429
      1713652-0.0365082002.6002002.6022002.596
      18103060.1391161511.7521511.7441511.764
      1969600.3148611020.9051020.8951020.921
      202678-0.340664392.694392.702392.681

    • Table 2. Measured distances at different positions

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      Table 2. Measured distances at different positions

      Interferometerdisplay value /mmDecimal part value(mean absolute value)Resampling phase differenceranging value /mmFourier transformranging value /mm
      0.00010.2083038342.9438342.577
      100.06910.1792048443.0008442.478
      200.03300.2736158542.9318542.672
      300.02440.2661528643.0088642.534
      400.00450.2211668742.9408742.404
      499.97710.1958018842.8568842.521
      599.92410.2075188942.9238942.303
      699.92960.1555579043.0029042.451
      799.94350.1416239142.9289142.587
      899.96520.1995119243.0239242.753
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    Ji Ningke, Zhang Fumin, Qu Xinghua, Zhang Tong, Zhang Tieli, Liu Xiaoxu, Xie Yang. Ranging Technology for Frequency Modulated Continuous Wave Laser Based on Phase Difference Frequency Measurement[J]. Chinese Journal of Lasers, 2018, 45(11): 1104002

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    Paper Information

    Category: Measurement and metrology

    Received: May. 10, 2018

    Accepted: --

    Published Online: Nov. 15, 2018

    The Author Email:

    DOI:10.3788/CJL201845.1104002

    Topics

    laser devices and laser physics
    Lasers and Laser Optics
    Laser physics
    laser manufacturing
    Instrumentation, Measurement and Metrology