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    Area of Science:

    • Optical metrology
    • Wavefront sensing

    Background:

    • Shack-Hartmann sensors are widely used for wavefront measurement.
    • Retrieving the complete coherent field (amplitude and phase) presents challenges, particularly phase ambiguity.
    • Existing methods may require complex hardware or lack comprehensive field information.

    Purpose of the Study:

    • To develop a new approach for complete coherent field retrieval.
    • To adapt Shack-Hartmann sensor hardware for enhanced phase and amplitude measurement.
    • To improve the accuracy and reliability of coherence retrieval algorithms.

    Main Methods:

    • Utilizing Shack-Hartmann sensor hardware with modifications.
    • Implementing a transversally shifted measurement to resolve phase ambiguities.
    • Employing factored form descent (FFD) with a hard rank constraint for inverse problem solving.

    Main Results:

    • Successful retrieval of the coherent field's amplitude and phase.
    • Demonstrated resolution of phase ambiguities through shifted measurements.
    • Validated the effectiveness of the FFD algorithm with rank constraint in coherence retrieval.

    Conclusions:

    • The proposed method enables complete coherent field retrieval using modified Shack-Hartmann sensing.
    • The combination of shifted measurements and FFD algorithm offers a robust solution for phase ambiguity.
    • Both numerical simulations and experimental results confirm the viability of the approach.