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Speckle-insensitive fringe detection method based on Hilbert transform for self-mixing interferometry.

Antonio Luna Arriaga, Francis Bony, Thierry Bosch

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    Summary
    This summary is machine-generated.

    A new phase measurement method accurately detects self-mixing signals from rough surfaces. This technique overcomes amplitude variations and fringe fading for precise displacement and velocimetry applications.

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    Area of Science:

    • Optics and Photonics
    • Signal Processing
    • Metrology

    Background:

    • Self-mixing interferometry is sensitive to amplitude variations caused by target surface roughness (speckle).
    • Traditional methods struggle with fringe fading and dynamic feedback levels, requiring complex external components.

    Purpose of the Study:

    • To develop a robust phase measurement method for self-mixing signals from rough surfaces.
    • To enable accurate phase extraction despite amplitude fluctuations and fringe fading.

    Main Methods:

    • Utilized the Hilbert transform to generate an analytic signal from optical output power.
    • Applied a running average filter to mitigate local bias offset during fringe fading.

    Main Results:

    • Successfully extracted accurate instantaneous phase, unaffected by speckle-induced amplitude variations.
    • Enabled observation of phase at dynamic feedback levels within a single calculation.
    • Eliminated the need for external optical, mechanical, or electronic components.

    Conclusions:

    • The proposed method offers a robust solution for phase measurement in self-mixing systems with rough targets.
    • Provides reliable fringe detection for subwavelength displacement reconstruction and velocimetry.