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Inverse diffraction in phase space.

Jiasheng Xiao, Wenhui Zhang, Hao Zhang

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    This summary is machine-generated.

    This study clarifies inverse diffraction, which recovers input fields from forward-propagated data. Using phase space analysis and the Wigner distribution function, it reveals geometric similarities between forward and inverse diffraction.

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    Area of Science:

    • Computational Optics
    • Wave Propagation Physics

    Background:

    • Inverse diffraction is crucial for computational optics, enabling simulations of round-trip wave propagation.
    • Existing ambiguities in inverse diffraction necessitate a re-examination of the problem.

    Purpose of the Study:

    • To provide an exhaustive analysis of inverse diffraction using a phase space perspective.
    • To clarify ambiguities related to diffraction kernels and negative propagation distances.

    Main Methods:

    • Phase space analysis utilizing the Wigner distribution function.
    • Geometric interpretation of forward and inverse diffraction as phase space diagram (PSD) transformations.

    Main Results:

    • Forward and inverse diffraction are shown to be equivalent to the deformation and recovery of the PSD.
    • Symmetries in PSD transformations for different inverse diffraction forms are identified.
    • Ambiguities concerning diffraction kernel conjugation and negative diffraction distance are resolved.

    Conclusions:

    • Phase space analysis offers an intuitive framework for understanding inverse diffraction.
    • This approach simplifies the study of 3D wave field propagation, including holographic phase conjugation.