S. V. Zemlyansky1, S. E. Mishchenko2
1 Krasnodar Higher Military School named after General of the Army S.M. Shtemenko (Krasnodar, Russia)
2 FSUE Rostov-on-Don Scientific Research Institute of Radio Communications (Rostov-on-Don, Russia)

1 zems1980@rambler.ru

When solving problems of synthesizing antenna arrays consisting of vector antennas arbitrarily oriented in space, two difficulties arise. Firstly, it is necessary to correctly take into account the mutual influence of such antennas, and secondly, when using elements with non-identical radiation patterns, conventional synthesis methods are not applicable. Existing methods for determining the mutual influence of antennas that are arbitrarily located in space are quite complex, which is a problem for constructing models of multi-element antenna arrays. The presence of mutual influence of elements and the formation of a vector radiation pattern by each element complicate the process of forming a radiation pattern and require the development of new methods for synthesizing antenna arrays of vector antennas according to a given amplitude radiation pattern, taking into account the mutual influence of antenna elements. The vector antennas under consideration consist of three mutually orthogonal symmetrical vibrators. In this regard, the induced EMF method has been used to take into account the mutual influence of vector antennas. To determine the fields along arbitrary vibrators, in contrast to the traditional approach, known analytical relationships have been used to calculate the field of a symmetrical vibrator at an arbitrary point in space, and the mutual rotations of vector antennas, in contrast to the known approach, have been taken into account using the quaternion apparatus. This made it possible to significantly simplify the process of calculating the impedance matrix of a vibrator antenna array. Since the elements of the antenna array have an arbitrary orientation in space, to solve the synthesis problem for a given amplitude directional pattern, the complex excitation amplitudes of the antenna elements have been determined on the basis of a gradient approach according to the criterion of the minimum standard deviation of the generated amplitude directional pattern from the given one. In the course of numerical studies, a comparison has been made of the mutual resistances of vibrators obtained in accordance with the proposed expressions with the results published by other authors. Next, to test the performance of the proposed synthesis method, a directional pattern of a flat antenna array has been formed and the complex amplitudes of all vibrators in the vector antenna elements have been determined. The obtained results showed that beam scanning of the considered antenna array cannot be obtained using the linear phasing method.

Zemlyansky S.V., Mishchenko S.E. Method for synthesizing an antenna array of vector antennas according to a given amplitude radiation pattern. Antennas. 2025. № 6. P. 15–25. DOI: https://doi.org/10.18127/j03209601-202506-02 (in Russian)

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