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Implementation of a Reference Interferometer for Nanodetection
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Dynamic non-uniform phase shift measurement via Doppler frequency shift in vortex interferometer.

Jingtao Dong, Zhipeng Tian, Shuo Wang

    Optics Letters
    |April 14, 2023
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a novel vortex beam interferometer using Doppler frequency shift to measure dynamic, non-uniform phase shifts. The method accurately retrieves phase shifts from complex fringe patterns, enabling nanoscale mechanical and thermophysical dynamics analysis.

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    Area of Science:

    • Optics and Photonics
    • Interferometry
    • Laguerre-Gaussian Modes

    Background:

    • Vortex beam interferometry is used for phase shift measurements.
    • Dynamic non-uniform phase shifts create complex fringe patterns (twisted and stretched petals).
    • Traditional methods struggle with identifying rotation angles and retrieving phase from these complex fringes.

    Purpose of the Study:

    • To propose a vortex beam interferometer capable of retrieving dynamic non-uniform phase shifts.
    • To overcome limitations of existing methods in analyzing complex fringe patterns.
    • To enable precise measurement of mechanical and thermophysical dynamics at nanoscale.

    Main Methods:

    • Utilizing a vortex beam interferometer based on Doppler frequency shift.
    • Employing coaxial superposition of high-order conjugated Laguerre-Gaussian modes.
    • Integrating a rotating chopper, collecting lens, and point photodetector to introduce a carrier frequency.
    • Analyzing Doppler frequency shifts at different radii to determine phase shifts.

    Main Results:

    • Successfully retrieved dynamic non-uniform phase shifts from petal-like fringes.
    • Achieved a relative error of phase shift measurement within 2.2% for surface deformation velocities of 1, 0.5, and 0.2 µm/s.
    • Demonstrated accurate phase retrieval despite highly twisted and stretched fringe patterns.

    Conclusions:

    • The proposed Doppler frequency shift-based vortex interferometer effectively measures dynamic non-uniform phase shifts.
    • The method shows potential for analyzing mechanical and thermophysical dynamics across nanometer to micrometer scales.
    • This technique offers a robust solution for phase retrieval from complex interferometric fringe patterns.