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Single-shot interferogram analysis for accurate reconstruction of step phase objects.

Mandeep Singh, Kedar Khare

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    |March 2, 2017
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    Summary
    This summary is machine-generated.

    This study introduces a new optimization method for analyzing single-shot interferograms of step phase objects. The approach accurately recovers phase information, achieving full detector resolution for improved optical metrology.

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    Area of Science:

    • Optical Metrology
    • Interferometry
    • Image Processing

    Background:

    • Single-shot interferogram analysis is crucial for measuring step phase objects.
    • Traditional methods often struggle to achieve full detector resolution.
    • Demodulating complex phase information requires robust algorithms.

    Purpose of the Study:

    • To develop a constrained optimization approach for demodulating single-shot interferograms.
    • To formulate the demodulation problem as a cost function minimization.
    • To enable accurate phase recovery for step phase objects.

    Main Methods:

    • A cost function combining L2-norm squared error and total variation penalty was used.
    • Two iterative methods employing complex (Wirtinger) derivatives were tested.
    • The methods were applied to both off-axis and on-axis interferogram cases.

    Main Results:

    • An adaptive optimization method provided a practical and automatic solution.
    • Both methods demonstrated excellent recovery of the step object's phase.
    • The approach achieved full detector resolution, overcoming a common limitation.

    Conclusions:

    • The constrained optimization approach offers a powerful tool for single-shot interferogram demodulation.
    • The adaptive method is particularly valuable for practical applications.
    • This technique enhances the capability of optical metrology for precise phase measurement.