Mathematical models of spheroidal spiral-frame radiating structures
The article considers mathematical models of two spheroidal spiral-frame emitters, built on the basis of a general approach involving the use of an integral representation electromagnetic field. The internal problem of electrodynamics is reduced to a system of Fredholm integral equations of the 1st...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Povolzhskiy State University of Telecommunications & Informatics
2023-03-01
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| Series: | Физика волновых процессов и радиотехнические системы |
| Subjects: | |
| Online Access: | https://journals.ssau.ru/pwp/article/viewFile/16926/9475 |
| _version_ | 1797382598281920512 |
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| author | Dmitry P. Tabakov Ruslan M. Valiullin |
| author_facet | Dmitry P. Tabakov Ruslan M. Valiullin |
| author_sort | Dmitry P. Tabakov |
| collection | DOAJ |
| description | The article considers mathematical models of two spheroidal spiral-frame emitters, built on the basis of a general approach involving the use of an integral representation electromagnetic field. The internal problem of electrodynamics is reduced to a system of Fredholm integral equations of the 1st kind. The resulting system was solved by the method of moments with piecewise constant basis functions and delta functions as test functions. In this case, the local linearization of the generating conductors of the structures under consideration was carried out. The dependences of current distributions, input resistance, and radiation characteristics of structures on frequency have been studied. It is shown that standing, traveling, and mixed current waves can exist in the structures under consideration. The current regime is determined by the wave sizes and the geometry of the structures and determines the behavior of the wave resistance in the frequency range. Despite the similar geometry, the characteristics of the considered structures have certain differences. |
| first_indexed | 2024-03-08T21:07:50Z |
| format | Article |
| id | doaj.art-bb2f8831aa204fc7b981a1d2c65aa220 |
| institution | Directory Open Access Journal |
| issn | 1810-3189 2782-294X |
| language | English |
| last_indexed | 2024-03-08T21:07:50Z |
| publishDate | 2023-03-01 |
| publisher | Povolzhskiy State University of Telecommunications & Informatics |
| record_format | Article |
| series | Физика волновых процессов и радиотехнические системы |
| spelling | doaj.art-bb2f8831aa204fc7b981a1d2c65aa2202023-12-22T10:31:41ZengPovolzhskiy State University of Telecommunications & InformaticsФизика волновых процессов и радиотехнические системы1810-31892782-294X2023-03-01261384810.18469/1810-3189.2023.26.1.38-488812Mathematical models of spheroidal spiral-frame radiating structuresDmitry P. Tabakov0Ruslan M. Valiullin1Povolzhskiy State University of Telecommunications and InformaticsPovolzhskiy State University of Telecommunications and InformaticsThe article considers mathematical models of two spheroidal spiral-frame emitters, built on the basis of a general approach involving the use of an integral representation electromagnetic field. The internal problem of electrodynamics is reduced to a system of Fredholm integral equations of the 1st kind. The resulting system was solved by the method of moments with piecewise constant basis functions and delta functions as test functions. In this case, the local linearization of the generating conductors of the structures under consideration was carried out. The dependences of current distributions, input resistance, and radiation characteristics of structures on frequency have been studied. It is shown that standing, traveling, and mixed current waves can exist in the structures under consideration. The current regime is determined by the wave sizes and the geometry of the structures and determines the behavior of the wave resistance in the frequency range. Despite the similar geometry, the characteristics of the considered structures have certain differences.https://journals.ssau.ru/pwp/article/viewFile/16926/9475helical antennasloop antennasintegral representation electromagnetic fieldthin-wire approximationradiation patterninput impedance |
| spellingShingle | Dmitry P. Tabakov Ruslan M. Valiullin Mathematical models of spheroidal spiral-frame radiating structures Физика волновых процессов и радиотехнические системы helical antennas loop antennas integral representation electromagnetic field thin-wire approximation radiation pattern input impedance |
| title | Mathematical models of spheroidal spiral-frame radiating structures |
| title_full | Mathematical models of spheroidal spiral-frame radiating structures |
| title_fullStr | Mathematical models of spheroidal spiral-frame radiating structures |
| title_full_unstemmed | Mathematical models of spheroidal spiral-frame radiating structures |
| title_short | Mathematical models of spheroidal spiral-frame radiating structures |
| title_sort | mathematical models of spheroidal spiral frame radiating structures |
| topic | helical antennas loop antennas integral representation electromagnetic field thin-wire approximation radiation pattern input impedance |
| url | https://journals.ssau.ru/pwp/article/viewFile/16926/9475 |
| work_keys_str_mv | AT dmitryptabakov mathematicalmodelsofspheroidalspiralframeradiatingstructures AT ruslanmvaliullin mathematicalmodelsofspheroidalspiralframeradiatingstructures |