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    Area of Science:

    • Optics and Photonics
    • 3D Imaging and Reconstruction
    • Holography

    Background:

    • Accurate three-dimensional (3D) tomographic reconstruction of samples within cylindrical capillaries is challenging due to optical distortions.
    • Unintentional focusing effects, including cylindrical wave illumination and object wave deformation, arise from the capillary's geometry.
    • Spherical aberration, caused by refraction at planar surfaces, further complicates quantitative analysis.

    Purpose of the Study:

    • To propose a novel holographic data processing path for accurate quantitative tomographic reconstruction.
    • To address and correct for the specific optical distortions introduced by cylindrical capillaries.
    • To enhance the precision of 3D sample imaging in confined environments.

    Main Methods:

    • Development of an arbitrary illumination tomographic reconstruction algorithm based on filtered backpropagation to handle cylindrical wave illumination.
    • Implementation of a novel correction algorithm using optical ray analysis to compensate for object wave deformation.
    • Integration of a new holographic method for correcting spherical aberration associated with planar surface refraction.

    Main Results:

    • The proposed method successfully accounts for cylindrical focusing effects during tomographic reconstruction.
    • The novel algorithms effectively correct for object wave deformation and spherical aberration.
    • Numerical simulations and experimental validation confirm the utility and accuracy of the developed data processing path.

    Conclusions:

    • The new holographic data processing path enables accurate quantitative tomographic reconstruction of 3D samples in cylindrical capillaries.
    • The method effectively mitigates optical artifacts, leading to improved imaging fidelity.
    • This approach offers a significant advancement for 3D sample analysis in microfluidic and capillary-based systems.