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Updated: Jan 17, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
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Closed-loop cophasing method for segmented mirrors based on slope signals derived from dispersed interferograms.

Zhaojun Yan, Huizhen Yang, Zhiguang Zhang

    Optics Letters
    |September 16, 2025
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a new closed-loop cophasing method for segmented mirror telescopes. It accurately corrects mirror alignment using dispersive interferometry, achieving nanometer-level precision without complex calibration.

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    Area of Science:

    • Optical Engineering
    • Telescope Technology
    • Interferometry

    Background:

    • Segmented mirror telescopes require precise cophasing for diffraction-limited performance.
    • Existing cophasing methods face limitations in accuracy, dynamic range, calibration, computation, and temporal resolution.

    Purpose of the Study:

    • To present a novel closed-loop cophasing correction method for Fizeau interferometric telescopes.
    • To overcome the trade-offs associated with contemporary cophasing detection techniques.

    Main Methods:

    • Utilizes slope analysis of dispersive interferometric images.
    • Extracts intensity ratios from dispersive interferograms to derive a slope parameter.
    • Employs a normalized-ratio-based error objective function for iterative correction.

    Main Results:

    • Establishes a proportional relationship between the slope parameter and cophasing error.
    • Achieves null error and zero slope at perfect cophasing, eliminating traditional slope offsets.
    • Demonstrates reduction of residual cophasing error from 30 micrometers to 5 nanometers in few iterations.

    Conclusions:

    • The proposed method offers a highly accurate and efficient solution for closed-loop cophasing in segmented mirror telescopes.
    • It requires minimal computation and no system pre-calibration, making it practical for real-world applications.
    • This represents the first demonstration of closed-loop cophasing using dispersive interferometry (DFS signal).