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    This study explains pseudo-nondiffracting regions in wave fields using catastrophe optics and a new diffraction theory. It reinterprets old diffraction experiments with this novel perspective.

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    Area of Science:

    • Theoretical physics
    • Optics
    • Wave phenomena

    Background:

    • Diffraction is a fundamental wave phenomenon.
    • Understanding complex diffraction patterns is crucial in optics.
    • Previous studies lacked intuitive explanations for certain diffraction behaviors.

    Purpose of the Study:

    • To theoretically investigate plane-wave diffraction by a unique heart-like aperture.
    • To explain and characterize pseudo-nondiffracting regions in diffracted wave fields.
    • To offer a new perspective on historical diffraction experiments.

    Main Methods:

    • Utilizing the recently developed paraxial boundary diffraction wave theory.
    • Applying concepts from catastrophe optics for theoretical analysis.
    • Analyzing the three-dimensional spatial intensity distribution of the diffracted wavefield.

    Main Results:

    • Intuitively explained the presence of pseudo-nondiffracting regions.
    • Quantitatively characterized these unique spatial intensity distributions.
    • Provided a novel interpretation for previously observed diffraction phenomena.

    Conclusions:

    • The paraxial boundary diffraction wave theory offers new insights into complex diffraction.
    • Catastrophe optics provides a framework for understanding pseudo-nondiffracting regions.
    • This work encourages a re-evaluation of older experimental results in diffraction physics.