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    Area of Science:

    • Optical imaging
    • Microscopy
    • Image formation modeling

    Background:

    • Live cell imaging often involves weakly scattering samples like phase objects.
    • Ring-shaped illumination is a technique used in various microscopy systems.
    • Accurate simulation of image formation is crucial for interpreting microscopy data.

    Purpose of the Study:

    • To develop and demonstrate a scattering model for simulating images generated by ring-shaped illumination.
    • To validate the model's performance across different scattering conditions and illumination types.
    • To provide a tool for analyzing and optimizing ring-illumination imaging systems.

    Main Methods:

    • Utilized a scattering model for image formation.
    • Assumed weakly scattering samples and made no angular approximations.
    • Covered forward/backward scattering, single-angle/angle-averaged, and monochromatic/broadband light.
    • Treated incident light as a plane wave originating from a ring aperture.

    Main Results:

    • Successfully simulated images formed by ring-shaped illumination.
    • Demonstrated consistency between numerical experiments and recent literature findings.
    • Confirmed the model's applicability to diverse ring-illumination imaging systems.
    • Showcased good performance of the model in simulations.

    Conclusions:

    • The developed scattering model effectively simulates images from ring-shaped illumination.
    • The model is versatile, applicable to various experimental conditions and imaging setups.
    • This work supports the advancement of live cell imaging and other microscopy techniques using ring illumination.