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Detection of angular acceleration based on optical rotational Doppler effect.

Yanwang Zhai, Shiyao Fu, Ci Yin

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    This study estimates angular acceleration using Laguerre-Gauss (LG) beams and analyzing rotational Doppler shifts. The developed system accurately measures angular velocity changes over time, validating the method across various accelerations and beam types.

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    Area of Science:

    • Optics
    • Rotational Dynamics
    • Metrology

    Background:

    • Estimating angular acceleration is crucial for understanding spinning object dynamics.
    • Laguerre-Gauss (LG) beams offer unique properties for probing light-matter interactions.
    • Rotational Doppler effect provides a means to measure angular velocity.

    Purpose of the Study:

    • To develop a system for estimating angular acceleration of spinning objects.
    • To analyze the time-dependent rotational Doppler frequency shift.
    • To investigate measurement errors using various LG beams and topological charges.

    Main Methods:

    • Probing a spinning object with Laguerre-Gauss (LG) beams.
    • Collecting beating signals of back-scattered LG beams.
    • Applying a time-frequency analysis to study angular velocity evolution.
    • Experimental validation with varying angular accelerations and topological charges (l = ±10 to ±100).

    Main Results:

    • A detection system was successfully built to capture scattered LG beams.
    • A time-frequency analysis method effectively studied angular velocity changes over time.
    • Experimental results aligned with theoretical expectations for different angular accelerations.
    • Measurement errors were investigated for diverse probe beams.

    Conclusions:

    • The proposed method accurately estimates angular acceleration by analyzing rotational Doppler shifts.
    • The system demonstrates reliable performance for non-uniform spinning bodies.
    • The study provides insights into measurement precision with different LG beam parameters.