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    This study introduces a wave optics framework for X-ray differential phase contrast imaging (XPCI) interferometers. The theory simplifies grating behavior and guides optimal grating period selection for enhanced fringe generation.

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    Area of Science:

    • Physics
    • Optics
    • Medical Imaging

    Background:

    • Grating-based X-ray differential phase contrast imaging (XPCI) is a powerful technique for visualizing soft tissues.
    • Understanding the wave optics of multi-grating interferometers is crucial for optimizing image quality.

    Purpose of the Study:

    • To develop a theoretical framework explaining the working mechanism of multi-grating XPCI systems using wave optics.
    • To simplify the wave optics interpretation into a geometrical optics approach.
    • To provide guidelines for selecting grating periods to enhance diffraction fringe generation.

    Main Methods:

    • Development of a theoretical framework based on wave optics.
    • Application of the optical reversibility principle to simplify wave optics into geometrical optics.
    • Treatment of phase gratings as thin lenses.
    • Derivation of the relationship between source grating period and diffraction fringe period.

    Main Results:

    • A simplified geometrical optics interpretation of multi-grating XPCI systems was established.
    • It was derived that the source grating period equals the diffraction fringe period on the source plane.
    • The study indicates that differing grating periods are beneficial for generating large-period diffraction fringes.

    Conclusions:

    • The developed theoretical framework accurately explains the mechanism of grating-based XPCI interferometers.
    • The findings provide practical insights for designing and optimizing XPCI systems by controlling grating periods.
    • This work facilitates improved performance and broader application of XPCI in medical imaging.