Infrared and Laser Engineering, Volume. 51, Issue 3, 20210443(2022)

Trajectory optimization method of variable pitch spiral matrix for intermediate frequency error

Hang Yang1, Ying Chen1, Wen Huang2, Ming Han1, Xingxing Zhang1, Yang Jia3, Bin Li1, and Rong Jiang1
Author Affiliations
  • 1School of Engineering, Zunyi Normal University, Zunyi 563006, China
  • 2Institute of Mechanical Manufacturing Technology, China Academy of Engineering Physics, Mianyang 621900, China
  • 3Wuhan National Laboratory of Optoelectronics, Huazhong Institute of Optoelectronics Technology, Wuhan 430073, China
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    Magnetorheological polishing can efficiently remove low-frequency errors on the surface of optical elements, but it also introduces intermediate-frequency errors. The existence of intermediate-frequency errors has a serious impact on the performance of the optical system, which must be effectively controlled. The commonly used grating trajectories and spiral trajectories were studied. It was found that the regular polishing trajectory caused the convolution process to be inconsistent with the actual removal process, which would introduce symmetrical iterative errors. The iterative error is an important factor in the deterioration of the intermediate frequency error. Based on the research of grating trajectory and spiral trajectory, a trajectory optimization method for variable pitch spiral matrix trajectory was proposed to reduce the intermediate frequency error of optical components. The trajectory retained the advantages of simplicity and ease of the grating trajectory and the spiral trajectory by disrupting the pitch of the spiral matrix trajectory, and also changed the randomness between the trajectory lines. Through the power spectrum analysis of the surface shape before and after processing, it was verified that the trajectory can effectively reduce the intermediate frequency error of the surface, and the intermediate frequency convergence efficiency of the grating line and the spiral line is comprehensively improved by 26.59%.

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    Hang Yang, Ying Chen, Wen Huang, Ming Han, Xingxing Zhang, Yang Jia, Bin Li, Rong Jiang. Trajectory optimization method of variable pitch spiral matrix for intermediate frequency error[J]. Infrared and Laser Engineering, 2022, 51(3): 20210443

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    Paper Information

    Category: Photoelectric measurement

    Received: Jul. 2, 2021

    Accepted: --

    Published Online: Apr. 8, 2022

    The Author Email:

    DOI:10.3788/IRLA20210443

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