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    A new method corrects distortion in optical testing for complex mirror shapes, improving accuracy for telescope mirrors. This ensures precise optical processing and alignment, crucial for advanced optical systems.

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    Area of Science:

    • Optical Engineering
    • Metrology
    • Telescope Manufacturing

    Background:

    • Null testing with computer-generated holograms can introduce distortion for off-axis aspheres and freeforms.
    • This distortion compromises testing accuracy and hinders deterministic optical processing.

    Purpose of the Study:

    • To propose and validate a high-accuracy method for correcting distortion in optical testing.
    • To improve the precision of optical processing and alignment for reflective telescope prototypes.

    Main Methods:

    • Utilized ray tracing and calibration marks applied directly to the mirror surface.
    • Developed a distortion correction method with an error of less than 1 mm.
    • Applied the method to polish the second and fourth mirrors of a reflective telescope prototype (F/6.5, 76° FOV).

    Main Results:

    • Achieved distortion correction with a position misalignment error as low as 0.783 mm.
    • Mirrors were mounted on a SiC substrate for alignment.
    • Attained a root-mean-square mirror surface error of 0.0433λ (λ=0.6328 μm) after ion beam finishing.

    Conclusions:

    • The proposed method effectively corrects distortion in optical testing for complex optical components.
    • High precision in mirror surface error and alignment was achieved for a reflective telescope prototype.
    • This technique is vital for advancing the manufacturing of sophisticated optical systems.