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Classifying Matter by Composition03:35

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Quadrature signal construction by vector composition for laser self-mixing interferometry.

Zhen Huang, Xiaozong Chen, Zhibo Chen

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    A new vector composition algorithm precisely constructs quadrature signals for laser self-mixing (SM) interferometry. This method significantly reduces computational cost and error, enabling ultra-precise measurements even with speckle interference.

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    Area of Science:

    • Optics and Photonics
    • Metrology and Measurement Science
    • Signal Processing

    Background:

    • Laser self-mixing (SM) interferometry is crucial for ultra-precise measurements.
    • Traditional quadrature phase unwrapping methods (QPUM) require strict quadrature signals, and mismatches introduce errors.
    • Existing methods face challenges with signal accuracy and computational efficiency.

    Purpose of the Study:

    • To present a novel vector composition quadrature construction algorithm for SM signals.
    • To enable strictly quadrature signal construction using simple addition and subtraction operations.
    • To improve the accuracy and efficiency of SM interferometry measurements.

    Main Methods:

    • Developed a vector composition algorithm for constructing quadrature signals from two SM signals with a phase shift.
    • Implemented and tested the algorithm in a multi-longitudinal laser SM phase-shifting generation system.
    • Validated the method through experimental and simulation studies, including conditions with speckle interference.

    Main Results:

    • Achieved a displacement reconstruction error of 65 nm for a non-stationary target with 3.193 µm peak-to-peak displacement.
    • Demonstrated significant reduction in computational cost, requiring only 1/34.2 of the time of conventional methods (97% reduction).
    • The algorithm shows robustness against speckle interference.

    Conclusions:

    • The vector composition algorithm provides simple, efficient, and accurate quadrature signal construction for SM interferometry.
    • This technique offers computational simplicity, rapid processing, precise phase shifting, speckle immunity, and zero calibration.
    • It is an ideal solution for robust, high real-time SM demodulation in online measurements and low-power applications.