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Linear programming phase unwrapping for dual-wavelength digital holography.

Zhaomin Wang, Jiannan Jiao, Weijuan Qu

    Applied Optics
    |February 4, 2017
    PubMed
    Summary

    A novel linear programming method accurately unwraps phase in dual-wavelength digital holography. This robust technique precisely recovers discontinuities and is applicable to various interferometric methods.

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    Area of Science:

    • Optics and Photonics
    • Metrology

    Background:

    • Phase unwrapping is crucial for reconstructing 3D surfaces from interferometric data.
    • Dual-wavelength digital holography offers enhanced depth-measurement capabilities.

    Purpose of the Study:

    • To develop and validate a robust linear programming phase unwrapping method for dual-wavelength digital holography.
    • To improve the accuracy and reliability of 3D surface reconstruction in interferometric techniques.

    Main Methods:

    • A linear programming approach was employed for phase unwrapping.
    • The method utilizes the square of height difference as a convergence criterion.
    • Simulations with varying Gaussian noise levels and experimental validation were performed.

    Main Results:

    • The proposed method accurately recovered discontinuities in simulated step structures.
    • Experimental measurements of a microelectromechanical systems sample and a cylindrical lens showed good agreement with true values.
    • The method demonstrated robustness and straightforward applicability.

    Conclusions:

    • The linear programming phase unwrapping method is effective for dual-wavelength digital holography.
    • The technique offers high accuracy and robustness, suitable for complex surface measurements.
    • Its applicability extends to other dual-wavelength interferometric techniques.