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Excitation Equations for Longitudinally-Azimutally Irregular Waveguides Taking into Account the Finite of the Walls Conductivity

https://doi.org/10.35596/1729-7648-2024-22-1-13-21

Abstract

Excitation equations for longitudinal-azimuthally irregular waveguides are formulated taking into account losses in the walls. The inner surface of the waveguide walls is given by an arbitrary smooth function b(ϕ, z). The coordinate transformation method replaces the original cylindrical coordinate system r, ϕ, z with a new one ρ, ϕ, z, where ρ = r/(b(ϕ, z)). The new system defines the waveguide boundary as ρ = 1 = const, i. e. the waveguide geometry transforms as a regular cylinder. Taking these functions into account, the standard procedure of the incomplete Galerkin method is used to determine the amplitudes of partial waves. The resulting general equations can be used in the calculation and optimization of both microwave and EHF electronic devices of various types, as well as passive microwave devices of various applications.

About the Authors

А. А. Kurayev
Belarusian State University of Informatics and Radioelectronics
Belarus

Kurayev Alexander Alexandrovich, Dr. of Sci. (Phys. and Math.), Professor, Professor at the Information Radiotechnologies Department

220013, Minsk, P. Brovki St., 6

Tel.: +375 17 293-89-56



V. V. Matveyenka
Belarusian State University of Informatics and Radioelectronics
Belarus

Cand. of Sci., Associate Professor, Associate Professor at the Computational Methods and Programming Department

Minsk



References

1. Nikolsky V. V., Nikolskaya T. I. (1989) Electrodynamics and Propagation of Radio Waves. Moscow, Nauka Publ. (in Russian).

2. Volman V. I., Pimenov Yu. V. (1971) Technical Electrodynamics. Moscow, Svyaz Publ. (in Russian).

3. Kurayev A. A., Popkova T. L., Sinitsyn A. K. (2004) Electrodynamics and Propagation of Radio Waves. Minsk, Bestprint Publ. (in Russian).

4. Altman J. (1968) Microwave Devices. Moscow, Mir Publ. (in Russian).

5. Taranenko Z. I., Trokhimenko Ya. K. (1965) Slowing Down Systems. Kyiv, Igor Sikorsky Kyiv Polytechnic Institute Publ. (in Russian).

6. Nefedov E. I., Sivov A. N. (1977) Electrodynamics of Periodic Structures. Moscow, Nauka Publ. (in Russian).

7. Illarionov Yu. A., Raevsky S. B., Smorgonsky V. Ya. (1980) Calculation of Corrugated and Partially Filled Waveguides. Moscow, Sovetskoe Radio Publ. (in Russian).

8. Yurtsev O. A., Runov A. V., Kazarin A. N. (1974) Spiral Antennas. Moscow, Sovetskoe Radio Publ. (in Russian).

9. Yurtsev O. A., Naumovich N. M. (2014) Antennas and Microwave Technology at BSUIR. Doklady BGUIR. (2), 87–95 (in Russian).

10. Zaitsev N. I., Kovalev N. F., Korablev G. S., Kulagin I. S. (1981) Relativistic Carsinotron with a Wavelength of 3 cm and a Pulse Duration of 0.4 μs. Letters to the Journal of Technical Physics. 7 (14) (in Russian).

11. Kravchenko V. F., Kurayev A. A. (2006) Gyroresonance Devices: Principle of Operation, Nonlinear Theory, Achievements and Prospects. Foreign Radioelectronics. Advances in Modern Radio Electronics. (9), 13–60 (in Russian).

12. Kartsev V. P. (1971) Adventure of the Great Equations. Moscow, Znanie Publ. (in Russian).

13. Il’insky A. S., Slepyan G. Ya. (1983) Oscillations and Waves in Electrodynamic Systems with Losses. Moscow, Lomonosov Moscow State University Publ. (in Russian).

14. Kurayev A. A. (1979) Excitation of Arbitrarily Irregular Waveguides with a Circular Cross Section. News of the Academy of Sciences of the BSSR. Physical and Technical Sciences Series. 121–127 (in Russian).

15. Kurayev A. A. (1986) Powerful Microwave Devices. Methods of Analysis and Optimization of Parameters. Moscow, Radio and Svyaz Publ. (in Russian).

16. Kurayev A. A., Sinitsyn A. K. (2006) Influence of Finite Conductivity of Metal Walls on the Characteristics of High-Power Relativistic Microwave Devices with Irregular Electrodynamic Systems. Doklady BGUIR. (3), 82–92 (in Russian).

17. Kurayev A. A., Matveyenka V. V. (2022) Powerful Electronic Microwave and EHF Devices with Special Types of Interaction. Minsk, Bestprint Publ. (in Russian).


Review

For citations:


Kurayev А.А., Matveyenka V.V. Excitation Equations for Longitudinally-Azimutally Irregular Waveguides Taking into Account the Finite of the Walls Conductivity. Doklady BGUIR. 2024;22(1):13-21. (In Russ.) https://doi.org/10.35596/1729-7648-2024-22-1-13-21

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ISSN 1729-7648 (Print)
ISSN 2708-0382 (Online)