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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Cited articles

Andrejewski, W.: Die Beugung elektromagnetischer Wellen an der leitenden Kreisscheibe und an der kreisformigen Offnung im leitenden ebenen Schirm, Z. Angew. Physik, 5, 178–186, 1953. a
Bethe, H. A.: Theory of Diffraction by Small Holes, Phys. Rev., 66, 163–182, 1944. a, b
Bouwkamp, C. J.: Theoretische En Numerieke Behandeling van de Buiging Door Zen Ronde Opening, PhD theses, University of Groningen(Holland), https://research.rug.nl/nl/publications/theoretische-en-numerieke-behandeling-van-de-buiging-door-een-ron (last access: 10 March 2025), 1941. a, b, c
Bouwkamp, C. J.: A Note on Singularities Occuring at Sharp Edges in Electromagnetic Diffraction Theory, Physica VII, 467–477, https://doi.org/10.1016/S0031-8914(46)80061-2, 1946. a
Bowman, J. J., Senior, T. B. A., and Uslenghi, P. L. E.: Electromagnetic and Acoustic Scattering by Simple Shapes, Chap. 14: The Disc, Revised Edition, Taylor & Francis Inc., ISBN 978-0891168850, 1988. a, b, c, d
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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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