Abstract
A rectangular resonator with holes embedded in two plane-transverse resonant diaphragms is built in a plane infinite waveguide. The problem of diffraction of the intrinsic wave of a waveguide incident on the diaphragm (hole in the wall of the resonator) is solved. The paired series functional equations of the diffraction problem, by the method of integral-adder identities, are reduced to an infinite set of linear algebraic equations, which is solved by the truncation method. The initial diffraction problem is studied from the point of view of the resonant passage of the wave through the resonator region. A computational experiment has shown that partial or complete passage of a wave through a resonator with holes is observed only at frequencies close to the eigen frequencies of the resonator without holes, while the holes in the resonator walls (diaphragm parameters) significantly affect the scattering matrix of this waveguide structure.
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REFERENCES
F. E. Borgnis and C. H. Papas, ‘‘Electromagnetic waveguides and resonators,’’ Handbuch. Phys. 16, 285–422 (1958).
Yu. Schwinger, ‘‘Inhomogeneities in waveguides (lecture notes),’’ Zarub. Elektron., No. 3, 3–106 (1970).
V. V. Zemlyakov, G. F. Zargano, and S. V. Krutiev, ‘‘Waveguide bandpass filter on complex resonance diaphragms,’’ Radiotekh. Elektron. 60 (12), 105–116 (1968).
V. V. Zemlyakov and G. F. Zargano, ‘‘Electrodynamic analysis of conductivity of a resonance waveguide plane-transverse diaphragm with a complex aperture,’’ Radiophys. Quantum Electron. 58, 504–510 (2015).
Y. V. Krylov and A. Y. Lapin, ‘‘Broadband waveguide filter of feed reflector antennas,’’ Reshetnev. Chten.1, 132–134 (2016).
G. V. Abgaryan and N. B. Pleshchinskii, ‘‘On the eigen frequencies of rectangular resonator with a hole in the wall,’’ Lobachevskii J. Math. 40 (10), 1631–1639 (2019).
N. B. Pleshchinskii, Models and Methods of Waveguide Electrodynamics (Kazan. Univ., Kazan, 2008) [in Russian].
V. P. Shestopalov, A. A. Kirilenko, and L. A. Rud,Resonance Scattering of Waves, Vol. 2: Waveguides Heterogeneity (Naukova Dumka, Kiev, 1986) [in Russian].
N. G. Don, A. A. Kirilenko, and S. L. Senkevich, ‘‘A new type of natural oscillations and the resonance of the full passage through the diaphragm with a transverse hole in a rectangular waveguide,’’ Radiophys. Quantum Electron. 52, 101 (2008).
E. T. Jaynes, ‘‘Ghost modes in imperfect waveguides,’’ Proc. IRE 46, 416–418 (1958).
ACKNOWLEDGMENTS
The work is performed according to the Russian Government Program of Competitive Growth of Kazan Federal University.
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Abgaryan, G.V. On the Resonant Passage of Electromagnetic Wave through Waveguide with Diaphragms. Lobachevskii J Math 41, 1315–1319 (2020). https://doi.org/10.1134/S1995080220070021
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DOI: https://doi.org/10.1134/S1995080220070021