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Versatile reconstruction framework for diffraction tomography with intensity measurements and multiple scattering.

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    We developed a new framework to reconstruct refractive indices using only intensity measurements, simplifying holographic data acquisition. This method matches the performance of complex holographic data reconstruction, offering practical advantages.

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    Area of Science:

    • Optics and Photonics
    • Computational Imaging
    • Materials Science

    Background:

    • Phase retrieval and refractive index estimation are crucial in optics.
    • Holographic measurements traditionally require complex-valued data.
    • Simplifying data acquisition in optical measurements is a practical challenge.

    Purpose of the Study:

    • To propose a unified framework for reconstructing refractive indices from intensity-only measurements.
    • To leverage recent advances in phase retrieval and holographic analysis.
    • To enable simplified optical measurement setups without compromising performance.

    Main Methods:

    • A versatile inverse problem formulation with sparsity constraints.
    • Modularity to incorporate various forward models (linear/nonlinear) and regularizers.
    • Reconstruction using beam-propagation or Lippmann-Schwinger models with total-variation regularization.

    Main Results:

    • Successful reconstruction of refractive indices from intensity-only data.
    • Performance comparable to methods using complex holographic data.
    • Demonstration of simplified acquisition setups.

    Conclusions:

    • The proposed intensity-only framework offers a practical alternative for refractive index reconstruction.
    • This approach simplifies experimental setups by eliminating the need for phase information.
    • The method achieves high performance, matching traditional complex data techniques.