A.N. Yakimov1, A.R. Bestugin2, I.A. Kirshina3, O.P. Kurkova4

1-4 St. Petersburg State University of Aerospace Instrument Engineering (St. Petersburg, Russia)

1 y_alder@mail.ru; 2 fresguap@mail.ru; 3 ikirshina@mail.ru; 4 aljaskaolga@mail.ru

The mathematical model of microwave antenna radiation with a quasi-sector radiation pattern, based on the use of a modified Kotelnikov row, does not allow us to study the influence of all parameters of the variable-phase field distribution forming such a radiation pattern, since individual parameters of the field distribution turn out to be interdependent. Expanding the capabilities of such a model for additional manage of the variable-phase field distribution and improving the parameters of antennas of this type can be achieved using predicate logic. The aim of the work is to use the predicate algebra of logic to expand the capabilities of the mathematical model of microwave antenna radiation based on the modified Kotelnikov row in solving the problem of estimating the influence of the level of antiphase intervals of the field distribution in the antenna aperture on the parameters of the quasi-sector radiation pattern, regardless of their share in this distribution. An integral form of the mathematical description of the antenna radiation pattern is proposed, which, due to the additivity property of a certain integral, allows it to be replaced by the sum of certain integrals taken over its partial intervals, and independently manage the field distribution in these intervals. A mathematical model constructed using predicate logic is presented, describing the quasi-sector radiation pattern of a microwave antenna and the corresponding field distribution in its aperture, which allows manage the level of antiphase intervals regardless of their share in this distribution. The results of mathematical modeling indicate the possibility of improving the antenna parameters when the conditions found using the proposed mathematical model are reached. The results obtained can be recommended for practical use in the design of aperture antennas with variable-phase field distribution.

Yakimov A.N., Bestugin A.R., Kirshina I.A., Kurkova O.P. Expanding the capabilities of the mathematical model of antenna radiation using predicate logic. Radiotekhnika. 2024. V. 88. № 8. P. 104−110. DOI: https://doi.org/10.18127/j00338486-202408-10
(In Russian)

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