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On Resonant Frequencies in the Diffraction Problems of Electromagnetic Waves by the Diaphragm in a Semi-Infinite Waveguide

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Abstract

Resonant properties of semi-infinite place and rectangular waveguides in the presence of a thin conductive diaphragm placed near the cross-wall are investigated. The diffraction problems of electromagnetic waves by diaphragms are reduced by the method of integral-series identities to the infinite sets of linear algebraic equations. It is found that at some values of the frequency of the excitatory wave there is a sharp resonant increase of the amplitude of standing waves in the area between the diaphragm and the flange.

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ACKNOWLEDGMENTS

The work is performed according to the Russian Government Program of Competitive Growth of Kazan Federal University.

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Authors and Affiliations

  1. Institute of Computational Mathematics and Information Technologies, Kazan (Volga Region) Federal University, 420008, Kazan, Tatarstan, Russia

    G. V. Abgaryan & N. B. Pleshchinskii

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  1. G. V. Abgaryan
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  2. N. B. Pleshchinskii
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Correspondence to G. V. Abgaryan or N. B. Pleshchinskii.

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Abgaryan, G.V., Pleshchinskii, N.B. On Resonant Frequencies in the Diffraction Problems of Electromagnetic Waves by the Diaphragm in a Semi-Infinite Waveguide. Lobachevskii J Math 41, 1325–1336 (2020). https://doi.org/10.1134/S1995080220070033

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  • DOI: https://doi.org/10.1134/S1995080220070033

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