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Mid-spatial frequency errors suppression strategy in micro-variable offset bonnet polishing based on direction

Yunheng Chen, Ci Song, Jianglin Long

    Applied Optics
    |March 17, 2026
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a novel micro-variable offset bonnet polishing strategy that optimizes direction angle and path step to suppress mid-spatial frequency (MSF) errors. Random perturbations further reduce MSF errors, enhancing optical component precision.

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    Area of Science:

    • Optical engineering
    • Precision manufacturing
    • Surface metrology

    Background:

    • Bonnet polishing, a common sub-aperture technique, often introduces mid-spatial frequency (MSF) errors.
    • These MSF errors degrade optical component surface accuracy and system imaging quality.

    Purpose of the Study:

    • To propose and validate a strategy for suppressing MSF errors in micro-variable offset bonnet polishing.
    • To achieve enhanced surface figure accuracy for optical components through process optimization.

    Main Methods:

    • Synergistically optimizing direction angle and path step to mitigate MSF error generation.
    • Establishing a quantitative model linking tool influence function (TIF) parameters to frequency domain error distribution.
    • Introducing random offset perturbations at dwell points to disrupt TIF spatial coherence and MSF error periodicity.

    Main Results:

    • Optimized direction angle and path step significantly reduced MSF error amplitude.
    • Root mean square (RMS) MSF error reduced from 1.119 nm to 0.529 nm (52.7% reduction).
    • Further reduction to 0.389 nm RMS (65.2% reduction) achieved with random perturbations.

    Conclusions:

    • The proposed strategy effectively suppresses MSF errors in bonnet polishing through process parameter optimization.
    • This method offers a practical and feasible approach for manufacturing high-precision optical components without complex path planning.