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    Analyzing surface errors in freeform optics manufacturing requires a new approach. This study introduces a novel 2D power spectral density representation to better evaluate anisotropic surface ripples common in ultra-precise diamond turning.

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    Area of Science:

    • Optics manufacturing
    • Surface metrology
    • Mechanical engineering

    Background:

    • Ultra-precise diamond turning is the primary method for freeform optics fabrication.
    • Traditional surface error analysis uses 1D power spectral density, insufficient for anisotropic surfaces.
    • Advanced machine dynamics create complex, oriented ripple patterns on freeform mirrors.

    Purpose of the Study:

    • Introduce a novel 2D power spectral density representation.
    • Enable comprehensive analysis of anisotropic surface errors in freeform optics.
    • Evaluate the effectiveness of the new method on an example freeform mirror.

    Main Methods:

    • Development of a new 2D power spectral density representation.
    • Application of the novel tool to analyze surface errors.
    • Evaluation of anisotropic surface features in the frequency domain.

    Main Results:

    • The proposed 2D power spectral density effectively captures anisotropic surface characteristics.
    • The new method provides a more complete analysis of spatial frequency errors.
    • Demonstrated utility in evaluating an example freeform mirror's surface quality.

    Conclusions:

    • The novel 2D power spectral density representation is crucial for analyzing complex freeform optics.
    • This method enhances understanding and control of surface errors in ultra-precise diamond turning.
    • Improved analysis leads to higher quality freeform optical components.