S. N. Razinkov1, О. E. Razinkovа2, А. V. Savchenko3
1–3 MESC of Air Forces “N.Е. Zhukоvsky and Yu.А. Gаgаrin Air Force Academy” (Vоrоnеzh, Russia)

1 razinkovsergey@rambler.ru, 2 olgarazinkovaic@icloud.com, 3 nomenate1@gmail.com

The construction of means of information exchange with propagation of signals through the ionosphere channel involves finding design parameters of antenna systems which ensure stability of transmitting and receiving messages during seasonal and daily fluctuations of spatial and electro-physical parameters of the gas rarefied formation in the atmosphere. Indicators of space-frequency selectivity of transceiver structures are established when predicting maximum permissible deviations of beam trajectories and fades (amplitude fades) of the spatial wave due to refraction on the propagation path. In the interests of maneuvering the frequencies of radio transmitters at different times of the year and day, it is advisable to use scale-invariant ring arrays of vertical asymmetric vibrators to reduce signal energy losses. The scaling relationships of the electrical dimensions of the arrays determine the similarity of the fragments, which ensures invariance of the transmission-reception conditions when changing the optimal operating frequency of the channel. To determine the rational technical appearance of such structures, it is necessary to develop electrodynamic models and analyze the relationships of range and directional properties with structural parameters.

The purpose of the article is to analyze the relationships of characteristics and parameters of structures of scale-invariant ring arrays of vertical asymmetrical vibrators to determine the appearance of structures for transmitting and receiving signals through an ionosphere channel.

Using integral Hallen equations with kernels in the form of Green functions for vertical linear antennas located near a flat interface of media with different values of dielectric constant, in approximation of a wire model of the structure, which consists in replacing surface currents with an equivalent axial distribution, the boundary value problem for a scale-invariant ring array of vertical asymmetric vibrators has been set. Due to setting of boundary conditions for tangential components of superposition of irradiating flat electromagnetic wave and fields of secondary radiation on surfaces of antenna elements and control of continuity of current distribution in points of connection of outputs of antiphase-symmetric two-wire distribution lines with crossing sections of conductors, when obtaining equations, electromagnetic connections in the grid have been taken into account. Based on partial inversion of integral operators of the boundary value problem by the Krylov – Bogolyubov method, the radiation patterns of the studied structures have been analyzed and the laws of change in the spatial-frequency selectivity of signal transmission and reception at different values of structural parameters have been established.

On the basis of electrodynamic analysis of scale-invariant ring arrays of vertical asymmetrical vibrators, relationships of parameters of their structures with characteristics of signal transmission and reception have been established. The obtained results enable to justify the rational technical appearance of arrays in order to achieve high levels of amplification of signals in frequency bands and angle sectors in accordance with conditions for achieving and maintaining stability of information exchange over an ionosphere channel.

Razinkov S.N., Razinkovа О.E., Savchenko А.V. Electrodynamic analysis of scale-invariant ring arrays of vertical asymmetrical vibrators. Antennas. 2025. № 3. P. 5–14. DOI: https://doi.org/10.18127/j03209601-202503-01 (in Russian)

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