• Chinese Optics Letters
  • Vol. 23, Issue 2, 021202 (2025)
Qilu Jiao1,2, Yuying Zhang1, Zhou Wu1, Xinxin Kong1..., Tong Lü1, Yiwei Hao1, Bo Li1,2 and Wenxi Zhang1,2,*|Show fewer author(s)
Author Affiliations
  • 1Aerospace Information Research Institute, Chinese Academy of Sciences, Beijing 100094, China
  • 2School of Optoelectronics, University of Chinese Academy of Sciences, Beijing 100049, China
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    DOI: 10.3788/COL202523.021202 Cite this Article Set citation alerts
    Qilu Jiao, Yuying Zhang, Zhou Wu, Xinxin Kong, Tong Lü, Yiwei Hao, Bo Li, Wenxi Zhang, "Vibration-resistant full-field heterodyne long-arm interferometry," Chin. Opt. Lett. 23, 021202 (2025) Copy Citation Text show less

    Abstract

    Long-distance surface profiling requires a high level of vibration resistance. Here, we propose a heterodyne interferometry scheme that uses two acousto-optic modulators (AOMs) to achieve precise and high-speed heterodyne phase-shifting frequencies. This solution offers high spatial resolution and effective vibration resistance. We measured the fundamental vibration conditions in the laboratory and simulated the effect of vibration on measurement repeatability across different difference frequencies. Experiments have demonstrated that this method can produce a single 3200 Hz sampling of a 1024 pixel × 1024 pixel camera within a period of 1.25 ms. The repeatability of measurements at 22 m away is better than 0.8‰ wave root mean square (RMS).
    I(x,y,t)=I1(x,y)+I2(x,y)cos[2πΔft+Δφ(x,y)],

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    {I(t1)=I1+I2cos[2πΔf(t0+1/ν)+Δφ]I(t2)=I1+I2cos[2πΔf(t0+2/ν)+Δφ]I(t3)=I1+I2cos[2πΔf(t0+3/ν)+Δφ]I(t4)=I1+I2cos[2πΔf(t0+4/ν)+Δφ].

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    I(x,y,t)=I1+I2cos[2πΔft+Δφ(x,y)+δφ(t)].

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    tanφ=k=1KIksinφkk=1KIkcosφk=AB,φk=2πΔftk,tk=k1KΔf.

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    δφ=φΔφ=arctan{k=1Kcos[2πΔftk+Δφ+δφ(tk)]sin(Δφ+2πΔftk)k=1Kcos[2πΔftk+Δφ+δφ(tk)]cos(Δφ+2πΔftk)}.

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    Qilu Jiao, Yuying Zhang, Zhou Wu, Xinxin Kong, Tong Lü, Yiwei Hao, Bo Li, Wenxi Zhang, "Vibration-resistant full-field heterodyne long-arm interferometry," Chin. Opt. Lett. 23, 021202 (2025)
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