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    This study demonstrates phase estimation for singular paraxial light fields using experimental intensity measurements and a Gerchberg-Saxton algorithm. The method successfully extracts orbital angular momentum-dependent phases from light fields manipulated by cylindrical lenses.

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    Area of Science:

    • Optics and Photonics
    • Quantum Optics
    • Mathematical Physics

    Background:

    • Singular paraxial light fields possess unique phase structures.
    • Accurate phase estimation is crucial for understanding and manipulating light fields.
    • Traditional methods may struggle with non-conservation of orbital angular momentum.

    Purpose of the Study:

    • To demonstrate phase estimation of singular paraxial light fields.
    • To utilize experimentally measured intensities for phase retrieval.
    • To apply a Gerchberg-Saxton type algorithm for this purpose.

    Main Methods:

    • Employing a Gerchberg-Saxton type iterative phase retrieval algorithm.
    • Using experimentally measured intensities of the light field.
    • Utilizing a combination of cylindrical lenses that do not conserve orbital angular momentum.

    Main Results:

    • Successful estimation of the phase for singular paraxial light fields.
    • Consistent extraction of orbital angular momentum-dependent phases.
    • Phase extraction demonstrated at both input and output transverse planes.

    Conclusions:

    • The Gerchberg-Saxton type algorithm is effective for phase estimation from intensities.
    • Orbital angular momentum-dependent phase information can be reliably recovered.
    • The method is robust even when orbital angular momentum is not conserved.