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Co-phase state detection for segmented mirrors by dual-wavelength optical vortex phase-shifting interferometry.

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    This study introduces a new dual-wavelength interferometer using optical vortex beams to measure segmented mirror co-phase errors. The method accurately detects piston and tip/tilt errors using Fermat spiral analysis, simplifying alignment for large telescopes.

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    Area of Science:

    • Optics and Photonics
    • Telescope Technology
    • Metrology

    Background:

    • Large-aperture telescopes rely on segmented mirrors for enhanced light-gathering capabilities.
    • Precise co-phase alignment of these segments is critical for optimal optical performance.
    • Existing co-phase measurement techniques can be complex and limited in range.

    Purpose of the Study:

    • To develop a novel, high-accuracy method for detecting co-phase errors in segmented mirrors.
    • To utilize a dual-wavelength phase-shifting interferometer based on optical vortex for this purpose.
    • To provide a simpler, more versatile solution for segmented mirror alignment.

    Main Methods:

    • A dual-wavelength phase-shifting interferometer employing an optical vortex beam was designed.
    • The interference patterns were analyzed by observing the Fermat spiral distribution of wrapped phase map edges.
    • Piston error was correlated with Fermat spiral center rotation, and tip/tilt error with center position alteration, determined via curve fitting.

    Main Results:

    • Experimental validation demonstrated high accuracy, achieving approximately 4.04 nm for piston error and 0.16 arcseconds for tip/tilt error.
    • The method successfully identified co-phase errors by analyzing the rotation and displacement of the Fermat spiral center.
    • The technique proved effective in real-time co-phase error detection for all sub-mirrors.

    Conclusions:

    • The proposed optical vortex-based interferometer offers a novel and general approach for co-phase error detection in segmented primary mirrors.
    • This method simplifies alignment by avoiding complex lens arrays and offers an extended measurement range with high accuracy.
    • The real-time measurement capability and improved accuracy make it suitable for advanced telescope applications.