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** Description:** The mathematical model approach of axisymmetric antenna arrays direction characteristics is considered based on the superposition principle of elementary sources which are changeover the real radiation system are examined. Basic expression which allow to define the field of circular cylindrical array radiation with electric largeness made from elementary electric dipole in its far and intermediate zone are got, and to take into account influence of conducting surface of antenna on its descriptions. The presented results can be drawn on the algorithms of the spatial forming or signal processing in axisymmetric active phased antennas arrays.

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Keywords:
** mathematical model approach, axisymmetric active phased antenna arrays, direction characteristics, superposition principle

Karlov, V.D., Leonov, I.H., Lukashuk, O.V. and Shevchenko, A.F. (2008), “Metod matematychnoho modeliuvannia kharakterystyk spriamovanosti visesymetrychnykh aktyvnykh antennykh reshitok (na prykladi kruhovoi tsylindrychnoi antennoi reshitky velykykh elektrychnykh rozmiriv)”,