Advances in Radio Science
Advances in Radio Science
ARS
Articles | Volume 18
Articles | Volume 18
https://doi.org/10.5194/ars-18-43-2020
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/ars-18-43-2020
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.
Articles | Volume 18
10 Dec 2020
 | 10 Dec 2020

Scattering and diffraction of a uniform complex-source beam by a slit in a perfectly conducting plane screen

Ludger Klinkenbusch

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Cited articles

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Bowman, J. J., Senior, T. B. A., and Uslenghi, P. L. E. (Eds.): Electromagnetic and Acoustic Scattering by Simple Shapes (Revised Printing), Hemisphere Pub., New York, 1998. a
Chew, W. C., Jin, J.-M., Michielssen, E., and Song, J. (Eds.): Fast and Efficient Algorithms in Computational Electromagnetics, Artech House, Boston, Vol. 52, 2001. a
Cojocaru, E.: Mathieu Functions Toolbox v.1.0, available at: https://www.mathworks.com/matlabcentral/fileexchange/22081-mathieu-functions-toolbox-v-1-0, MATLAB Central File Exchange, last access: 22 February 2020.  a, b
Felsen, L. B.: Complex-Source-Point Solutions of the Field Equations and Their Relation to the Propagation and Scattering of Gaussian Beams, in: Symposia Mathematica, Istituto Nazionale di Alta Matematica, London, UK, Academic, vol. XVIII, 40–56, 1976. a, b
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Short summary
A new analytical method has been introduced to exactly solve the classical problem of electromagnetic diffraction by a slit. It is faster and easier to implement than the standard solution using Mathieu functions. Moreover, the paper contains a successful comparison of the scattered fields for an incident plane wave with that one obtained for an incident Gaussian beam which is easily modelled by a complex-source beam.
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