Articles | Volume 23
https://doi.org/10.5194/ars-23-1-2025
https://doi.org/10.5194/ars-23-1-2025
14 Mar 2025
 | 14 Mar 2025

Spherical-Multipole Analysis of the Scalar Diffraction by a Circular Aperture in a Plane Screen

Ludger Klinkenbusch

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Short summary
A new analytical solution for the scalar scattering by a circular aperture in an infinite screen is presented. The field is expanded by means of complete spherical-multipole expansions. The unknown expansion coefficients are found from the conditions of continuity, leading to a quadratic system of linear equations.  The numerical evaluation validates and improves numerical results found in the literature. Further numerical results prove the robustness and convergence of the proposed method.
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