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Acta Optica Sinica, Volume. 43, Issue 7, 0726002(2023)

Optimized Measurement of Optical Rotational Doppler Shift Using Dual Fourier Analysis

Ruoyu Tang1, Song Qiu1, Tong Liu1, Xiuqian Li2, Zhengliang Liu1, and Yuan Ren3、*
Author Affiliations
  • 1Department of Aerospace Science and Technology, Space Engineering University, Beijing 101416, China
  • 2Office of Academic Affairs, Space Engineering University, Beijing 101416, China
  • 3Department of Basic Course, Space Engineering University, Beijing 101416, China
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    Figures & Tables(7)
    Sketch map of lateral displacement of vortex beam optical axis

    Fig. 1. Sketch map of lateral displacement of vortex beam optical axis

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    Simulation results of OAM decomposition. (a) Superposition-mode LG beam with l=±20 and d=5 mm; (b) OAM spectrum of superposition-mode LG beam with l=±20 and d=5 mm; (c) superposition-mode LG beam with half of it missing for l=±20; (d) OAM spectrum of superposition-mode LG beam with half of it missing for l=±20

    Fig. 2. Simulation results of OAM decomposition. (a) Superposition-mode LG beam with l=±20 and d=5 mm; (b) OAM spectrum of superposition-mode LG beam with l=±20 and d=5 mm; (c) superposition-mode LG beam with half of it missing for l=±20; (d) OAM spectrum of superposition-mode LG beam with half of it missing for l=±20

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    Experimental setup of measurement of RDE

    Fig. 3. Experimental setup of measurement of RDE

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    Light intensity distributions collected by CCD (l=±20). (a) Intensity distribution of holonomic vortex beam with impure mode; (b) intensity distribution of nonholonomic vortex beam

    Fig. 4. Light intensity distributions collected by CCD (l=±20). (a) Intensity distribution of holonomic vortex beam with impure mode; (b) intensity distribution of nonholonomic vortex beam

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    Results of dual Fourier analysis of signal by using impure optical vortex. Primary frequency spectra at (a) ω=30 Hz, (c) ω=40 Hz, and (e) ω=50 Hz; secondary frequency spectra at (b) ω=30 Hz, (d) ω=40 Hz, and (f) ω=50 Hz

    Fig. 5. Results of dual Fourier analysis of signal by using impure optical vortex. Primary frequency spectra at (a) ω=30 Hz, (c) ω=40 Hz, and (e) ω=50 Hz; secondary frequency spectra at (b) ω=30 Hz, (d) ω=40 Hz, and (f) ω=50 Hz

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    Results of dual Fourier analysis of signal by using vortex beam with lateral displacement. Primary frequency spectra at (a) ω=30 Hz, (c) ω=40 Hz, and (e) ω=50 Hz; secondary frequency spectra at (b) ω=30 Hz, (d) ω=40 Hz, and (f) ω=50 Hz

    Fig. 6. Results of dual Fourier analysis of signal by using vortex beam with lateral displacement. Primary frequency spectra at (a) ω=30 Hz, (c) ω=40 Hz, and (e) ω=50 Hz; secondary frequency spectra at (b) ω=30 Hz, (d) ω=40 Hz, and (f) ω=50 Hz

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    Results of dual Fourier analysis of signal by using vortex beam with half of it missing. Primary frequency spectra at (a) ω=30 Hz, (c) ω=40 Hz, and (e) ω=50 Hz; secondary frequency spectra at (b) ω=30 Hz, (d) ω=40 Hz, and (f) ω=50 Hz

    Fig. 7. Results of dual Fourier analysis of signal by using vortex beam with half of it missing. Primary frequency spectra at (a) ω=30 Hz, (c) ω=40 Hz, and (e) ω=50 Hz; secondary frequency spectra at (b) ω=30 Hz, (d) ω=40 Hz, and (f) ω=50 Hz

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    Ruoyu Tang, Song Qiu, Tong Liu, Xiuqian Li, Zhengliang Liu, Yuan Ren. Optimized Measurement of Optical Rotational Doppler Shift Using Dual Fourier Analysis[J]. Acta Optica Sinica, 2023, 43(7): 0726002

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    Paper Information

    Category: Physical Optics

    Received: Sep. 22, 2022

    Accepted: Nov. 15, 2022

    Published Online: Apr. 6, 2023

    The Author Email: Ren Yuan (renyuan_823@aliyun.com)

    DOI:10.3788/AOS221734

    Topics

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