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    A new scaling law accurately predicts far-field laser beam irradiance, simplifying analysis for various beam types and geometries. This method also introduces an equivalent uniform circular beam for easier peak irradiance and power calculations.

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    Area of Science:

    • Optics and Photonics
    • Laser Physics
    • Wave Propagation

    Background:

    • Accurate prediction of far-field laser beam characteristics is crucial for optical system design.
    • Existing models may struggle with complex near-field beam profiles and geometries, including laser arrays.

    Purpose of the Study:

    • To develop a general scaling law for far-field wave propagation.
    • To introduce a simplified method for predicting diffraction peak irradiance.
    • To define an equivalent uniform circular beam for arbitrary laser sources.

    Main Methods:

    • Development of a general far-field wave propagation scaling law.
    • Introduction of the equivalent uniform circular beam concept.
    • Application and validation using clipped Gaussian beams with obscuration.

    Main Results:

    • The developed scaling law accurately predicts far-field peak irradiance.
    • The method is independent of near-field beam type and geometry.
    • The equivalent uniform circular beam effectively matches key far-field metrics.

    Conclusions:

    • A simple yet powerful scaling law simplifies far-field laser beam analysis.
    • The equivalent uniform circular beam concept offers a practical tool for optical engineers.
    • The findings are applicable to diverse laser beam configurations, including arrays.