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Three-Dimensional Model of a Focusing and Radiating Antenna Array

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We consider a three-dimensional antenna system modeled by a linear array, which focuses radiation in the far-field zone. The system is formed by semitransparent plane mirrors inclined to the vertical axis. The geometry of the system satisfies quasioptical conditions. The distance between separate elements of the system corresponds to the conditions of the Fresnel zone, and the radiation pattern of the system is found in its far-field zone. The possibility of separation of the variables is expected in the apertures of different elements and in the components of the radiation pattern. We obtain explicit formulas for the values of the fields in the constituent elements of the antenna and of the created radiation pattern. The ability of the system to form radiation patterns of different shapes is confirmed by numerical results.

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Authors and Affiliations

  1. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv, Ukraine

    M. I. Andriychuk & V. P. Tkachuk

  2. Lviv Polytechnic National University, Lviv, Ukraine

    M. I. Andriychuk

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  1. M. I. Andriychuk
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  2. V. P. Tkachuk
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Correspondence to M. I. Andriychuk.

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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 64, No. 2, pp. 113–122, April–June, 2021.

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Andriychuk, M.I., Tkachuk, V.P. Three-Dimensional Model of a Focusing and Radiating Antenna Array. J Math Sci 277, 133–144 (2023). https://doi.org/10.1007/s10958-023-06821-3

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