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    Area of Science:

    • Optical Engineering
    • Metrology
    • Physics

    Background:

    • Accurate measurement of tilt and roll angles is crucial for numerous scientific and engineering fields.
    • Existing methods may have limitations in sensitivity or complexity for detecting minute angular displacements.

    Purpose of the Study:

    • To develop a novel and simple method for high-accuracy tilt angle measurement.
    • To investigate the application of cyclic interferometers with multiple reflections for precise angle detection.

    Main Methods:

    • Development of a phase shift by polarization technique.
    • Utilizing a cyclic interferometer incorporating multiple reflections.
    • Theoretical development of the polarization phase step principle.

    Main Results:

    • Demonstrated the capability of multiple reflection cyclic interferometers to measure object tilts.
    • Achieved measurement sensitivity on the order of 0.2 nano-radians.
    • Validated the accuracy of measurements using the developed polarization phase step method.

    Conclusions:

    • The novel phase shift by polarization method is effective for high-accuracy tilt measurements.
    • Cyclic interferometers with multiple reflections offer a viable platform for nano-radian level angle detection.
    • The developed technique provides a simple yet accurate solution for critical metrology applications.