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    Area of Science:

    • Optical physics
    • Adaptive optics
    • Beam propagation

    Background:

    • The hybrid input-output algorithm (HIOA) is crucial for phase retrieval.
    • The twin-image problem in single-intensity-measurement HIOA limits performance for orbital angular momentum (OAM) beams.

    Purpose of the Study:

    • To address the twin-image problem in single-intensity-measurement HIOA for OAM beams.
    • To propose and validate a novel HIOA scheme using complementary binary masks (CBMs).

    Main Methods:

    • Introduced the principle of single-intensity-measurement HIOA and the cause of the twin-image problem.
    • Developed a new HIOA scheme incorporating a pair of complementary binary masks (CBMs).
    • Utilized wave-optics simulations with realistic atmospheric turbulence models.

    Main Results:

    • The proposed CBM-HIOA effectively suppresses bidirectional and stagnant convergence caused by the twin-image problem.
    • Successfully compensated for turbulence-induced phase distortion in OAM beams.
    • Investigated the impact of different CBM shapes on performance through numerical simulations.

    Conclusions:

    • The complementary binary mask-hybrid input-output algorithm (CBM-HIOA) is feasible and effective.
    • This method enables adaptive optics compensation for OAM beams in free-space optical systems.
    • The findings significantly enhance phase retrieval capabilities for OAM beam applications.