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    Area of Science:

    • Optics and Photonics
    • Wave Scattering Theory

    Background:

    • Light diffraction at apertures is a fundamental optics problem.
    • Existing theories like Fresnel-Kirchhoff and Rayleigh-Sommerfeld have limitations based on boundary conditions.

    Purpose of the Study:

    • To unify diffraction and scattering theories.
    • To derive a general diffraction formula applicable to thin screens and apertures.
    • To provide a more comprehensive framework for understanding diffraction phenomena.

    Main Methods:

    • Treating diffraction as a specific case of scattering.
    • Applying the first-order Born approximation to 2D objects.
    • Deriving a general diffraction formula without angular approximations.

    Main Results:

    • A general diffraction formula was obtained, applicable to thin screens (apertures, gratings, etc.).
    • The derived formula is consistent with 3D scattering theory and lacks an obliquity factor.
    • The new approach offers a more general treatment compared to traditional diffraction theories.

    Conclusions:

    • Diffraction can be effectively modeled as a scattering process.
    • The first-order Born approximation yields a universal diffraction formula.
    • This work provides a unified perspective on light diffraction and scattering.