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    Summary
    This summary is machine-generated.

    This study introduces an astigmatic measurement method to precisely quantify motorized stage movement flatness error. The developed system achieves high accuracy, mapping errors to improve stage performance.

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    Area of Science:

    • Metrology
    • Mechanical Engineering
    • Precision Engineering

    Background:

    • Movement flatness error is a critical performance parameter for motorized stages.
    • Accurate measurement is essential for optimizing stage precision and reliability.

    Purpose of the Study:

    • To propose and validate a novel astigmatic measurement method for movement flatness error.
    • To establish an experimental system for implementing the proposed measurement technique.

    Main Methods:

    • Utilizing an astigmatic optical method to detect the focus error signal.
    • Theoretical derivation and analysis of the astigmatic measurement principle.
    • Experimental validation using a custom-built system and an x-y stepping motorized stage.

    Main Results:

    • The measurement system demonstrates an accuracy of less than ±100 nm.
    • The movement flatness error profile of an x-y stepping motorized stage was successfully mapped.
    • The maximum measured movement flatness error was found to be within 1.3 μm.

    Conclusions:

    • The proposed astigmatic method is an effective technique for measuring motorized stage movement flatness error.
    • The developed experimental system provides accurate and reliable measurements.
    • This method contributes to the advancement of precision engineering and metrology for motion systems.