А. V. Bogoslovsky1, D. N. Borisov2, S. N. Razinkov3, O. E. Razinkova4
1, 3, 4 MESC of Air Forces N.Е. Zhukоvsky and Yu.А. Gаgаrin Air Force Academy (Vоrоnеzh, Russia)
2 Vоrоnеzh State University (Vоrоnеzh, Russia)

1 bogosandrej@yandex.ru, 2 borisov@sc.vsu.ru, 3 razinkovsergey@rambler.ru, 4 olgarazinkovaic@icloud.com

Improvement of mobile radio communication systems in conditions of increasing requirements for reliability of target functions when expanding subscriber service areas and increasing the intensity of information exchange is achieved by equipping base stations with band ring antenna arrays. By maintaining the invariance of the array structure when rotating through an angular distance between antenna elements, a circular view of space in the azimuth plane with a high directional coefficient is performed. The parameters of the antenna array when placed on the supporting structure are determined based on the results of constructing its electrodynamic model and analysis of indicators of spatial-frequency selectivity of transmitting and receiving signals. When building a model, the surface for attaching the array is represented by an object made of a dielectric material with a similarity of shape to a real medium.

The purpose of the article is study of directional properties of the antenna array at various design parameters and electro-physical characteristics of the supporting structure.

Using the method of integral equations, an electrodynamic model has been built and an analysis of the ring array of vertical asymmetric vibrators on an ideally conductive ring fixed to a dielectric cylinder has been carried out. The shape of the supporting structure is selected for the model representation of the spire of the high-rise structure; the dielectric constant of the material took values which are typical for dry dense and wet porous concrete. Setting of edge problem has been performed under boundary conditions for an irradiating electromagnetic wave and a scattering field of the antenna system, which made it possible to study its directional properties at interaction between elements through secondary electromagnetic radiation. To determine the spatial structure of the field, the solution of the auxiliary problem of diffraction of a plane electromagnetic wave on a dielectric cylinder, found when approximating equivalent surface currents with series of cylindrical functions, has been used. On the basis of solving the boundary value problem during partial conversion of operators of integral equations for equivalent axial currents of vibrators and surface currents of the ring, laws of changing the directional pattern of the antenna array at different electrical dimensions of the structure and values  of the dielectric permeability of the cylinder have been revealed.

Patterns of change of directional properties of ring arrays of vertical asymmetrical vibrators located on the spire of a high-rise structure make it possible to estimate realistically achievable indicators of spatial transmission-reception of signals and to justify rational designs of structures for base stations of mobile radio communication.

Bogoslovsky А.V., Borisov D.N., Razinkov S.N., Razinkova O.E. Electrodynamic analysis of a ring array of vertical asymmetric vibrators for a mobile radio base station. Antennas. 2026. № 2. P. 38–47. DOI: https://doi.org/10.18127/j03209601-202602-04 (in Russian)

1. Eliseev A.V., Pogorelov V.A., Strotsev A.A. i dr. Teoreticheskie osnovy telekommunikatsionnykh radiotekhnicheskikh sistem i ustrojstv. Pod obshch. red. A.A. Kosogora. M.: FIZMATLIT. 2023. (in Russian)
2. Artemov M.L., Borisov V.I., Makovij V.A. i dr. Avtomatizirovannye sistemy upravleniya, radiosvyazi i radioelektronnoj bor'by. Osnovy teorii i printsipy postroeniya. Pod red. M.L. Artemova. M.: Radiotekhnika. 2021. (in Russian)
3. Spetsial'naya radiosvyaz'. Razvitie i modernizatsiya oborudovaniya i ob''ektov. Pod red. A.L. Buzova i S.A. Bukashkina. M.: Radiotekhnika. 2017. (in Russian)
4. Buzova M.A. Elektrodinamicheskij analiz slozhnykh antennykh kompleksov na osnove integral'nykh uravnenij. M.: Radiotekhnika. 2025. (in Russian)
5. Tarasov D.V. Reshenie integral'nykh uravnenij teorii linejnykh antenn metodom konechnykh elementov. Zhurnal Srednevolzhskogo matematicheskogo obshchestva. 2023. T. 25. № 1. S. 554–564. (in Russian)
6. Gabriel'yan D.D., Zvezdina M.Yu., Kas'yanov A.O. i dr. Antenny, SVCh-ustrojstva i ikh tekhnologii. Pod red. A.A. Kosogora. M.: FIZMATLIT. 2023. (in Russian)
7. Bychkov Yu.A., Zolotnitskij V.M., Solov'eva E.B. i dr. Osnovy teoreticheskoj elektrotekhniki. SPb.: Lan'. 2026. (in Russian)
8. Razin'kov S.N., Borisov D.N., Bogoslovskij A.V. Issledovanie napravlennykh svojstv reshetok elementarnykh elektricheskikh vibratorov na kruglykh ideal'no provodyashchikh tsilindrakh konechnoj dliny. Radiotekhnika. 2020. № 2 (3). S. 46–54. (in Russian)
9. Razin'kov S.N., Baranov S.O., Razin'kova O.E. Analiz diagramm napravlennosti i bistaticheskogo rasseyaniya linejnykh antennykh reshetok bespilotnogo letatel'nogo apparata so snizhennoj radiolokatsionnoj zametnost'yu. Radiotekhnika. 2020. № 5. S. 43–52. (in Russian)
10. Setukha A.V. Metod integral'nykh uravnenij v matematicheskoj fizike. M.: Izdatel'stvo MGU. 2023. (in Russian)
11. Kuehl H.H. Radiation from a radial electric dipole near a long finite circular cylinder. IRE Transaction. 1961. V. AP-9. № 6. P. 546–553.
12. Shorokhova E.A. Rasseyanie elektromagnitnykh voln, vozbuzhdaemykh elementarnym istochnikom, na kruglom provodyashchem tsilindre konechnykh razmerov. Radiotekhnika i elektronika. 2002. T. 47. № 5. S. 528–537. (in Russian)