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Small roll angle measurement using lateral shearing cyclic path polarization interferometry.

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    This study introduces a novel method for measuring rotary stage roll using a cyclic path optical configuration (CPOC) and polarization phase shifting interferometry (PPSI). The technique precisely quantifies angular displacement by analyzing fringe shifts caused by rotation.

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    Area of Science:

    • Optical Metrology
    • Precision Engineering
    • Interferometry

    Background:

    • Accurate measurement of angular displacement is crucial for controlling rotary stages in various scientific and industrial applications.
    • Existing methods may face limitations in precision or complexity for specific roll measurements.

    Purpose of the Study:

    • To develop and demonstrate a new technique for measuring the roll angular displacement of a rotary stage.
    • To utilize a cyclic path optical configuration (CPOC) combined with polarization phase shifting interferometry (PPSI) for enhanced measurement accuracy.

    Main Methods:

    • A cyclic path optical configuration (CPOC) setup was employed on the rotary stage to laterally shear a polarized beam into two orthogonally polarized beams.
    • Interference fringes, similar to Young's fringes, were generated by recombining the beams.
    • Polarization phase shifting interferometry (PPSI) was used to measure phase changes induced by the stage's rotation, which correlate to fringe displacement.

    Main Results:

    • The rotation of the CPOC setup caused a measurable phase change between the orthogonally polarized beams due to altered angle of incidence.
    • This phase change directly resulted in a spatial displacement of the interference fringes.
    • The measured phase change, via PPSI, accurately related to the roll angular displacement of the rotary stage.

    Conclusions:

    • The presented technique offers a precise and effective method for measuring roll angular displacement.
    • The combination of CPOC and PPSI provides a robust optical solution for rotary stage metrology.
    • This approach has potential applications in high-precision positioning systems and scientific instrumentation.