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    A novel 3D directional wavelet transform method enhances phase recovery in temporal speckle pattern interferometry (TSPI). This technique improves dynamic phase measurement accuracy compared to traditional Fourier methods.

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    Area of Science:

    • Optical Metrology
    • Wavelet Transforms
    • Interferometry

    Background:

    • Temporal Speckle Pattern Interferometry (TSPI) is a technique for measuring dynamic phase.
    • Traditional phase recovery often relies on 1D Fourier transforms.
    • Sources of uncertainty in TSPI measurements need careful analysis.

    Purpose of the Study:

    • To evaluate a 3D directional wavelet transform for phase recovery in TSPI.
    • To compare its performance against the 1D Fourier transform method.
    • To identify and discuss uncertainties in the 3D wavelet transform approach.

    Main Methods:

    • Application of a 3D directional wavelet transform to TSPI intensity signals.
    • Analysis of experimental datasets from an in-plane interferometer.
    • Comparison of dynamic phase data with results from a 1D Fourier transform technique.

    Main Results:

    • The 3D directional wavelet transform method leverages information from adjacent pixels.
    • This approach demonstrates improved performance in recovering dynamic phase.
    • Uncertainties associated with the method were analyzed using experimental data.

    Conclusions:

    • The 3D directional wavelet transform offers advantages for TSPI phase recovery.
    • The method's performance is enhanced by utilizing spatial information.
    • Limitations and benefits of the 3D wavelet approach were discussed in the context of TSPI data.