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    This study introduces a new optical system using geometric-phase lenses for polarization image processing. This system enables polarization-sensitive Fourier filtering, offering advanced capabilities for optical imaging and filtering applications.

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    Area of Science:

    • Optics and Photonics
    • Image Processing
    • Materials Science

    Background:

    • Geometric-phase (Pancharatnam-Berry) lenses act as polarization-selective elements.
    • These lenses exhibit unique properties for manipulating light polarization states.
    • Existing optical systems lack efficient polarization-sensitive Fourier filtering capabilities.

    Purpose of the Study:

    • To develop a novel optical system for polarization image processing.
    • To leverage geometric-phase lenses for polarization-sensitive Fourier filtering.
    • To demonstrate the application of this system in optical filtering.

    Main Methods:

    • Utilized geometric-phase lenses with spatially varying fast/slow axis orientations.
    • Designed a telescopic system to access real Fourier transform planes for each circular polarization.
    • Implemented a symmetric optical system for beam recombination.

    Main Results:

    • Demonstrated coaxial polarization selectivity by splitting beams into converging and diverging components with opposite circular polarizations.
    • Successfully implemented a polarization-sensitive optical Fourier filter.
    • Showcased the system's capability with simple bandpass filters.

    Conclusions:

    • The novel optical system effectively utilizes geometric-phase lenses for polarization-sensitive Fourier filtering.
    • This approach introduces a new degree of freedom for optical processing.
    • The system holds promise for advanced imaging and filtering applications requiring polarization sensitivity.