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    Area of Science:

    • Computational physics
    • Optics
    • Light scattering

    Background:

    • Accurate computation of light scattering by particles is crucial in various scientific fields.
    • Existing methods may face limitations with complex particle geometries.

    Purpose of the Study:

    • To develop a novel algorithm for linearizing single-scattering properties of convex facet particles.
    • To enhance the computational efficiency and applicability of light scattering calculations.

    Main Methods:

    • Physical-geometric optics method combined with a novel beam-splitting technique.
    • Introduction of the winding number method for precise division of incident beams.
    • Verification using the finite-difference method with a regular hexagonal prism model.

    Main Results:

    • The developed algorithm accurately computes linearized single-scattering properties (extinction, absorption, scattering cross-sections, phase matrix).
    • The beam-splitting and winding number methods enable application to any convex facet particle.
    • Sensitivities of scattering properties to particle size, aspect ratio, and refractive index were analyzed.

    Conclusions:

    • The new algorithm provides a robust and versatile tool for calculating light scattering by convex particles.
    • This method improves the understanding of how particle characteristics influence optical properties.
    • The findings have implications for atmospheric optics, material science, and remote sensing.