Analytical relations, describing the electrical fields of cylindrical piezoceramic radiators with circular polarization as a member of the cylindrical systems with the baffle in the inner cavity, using the related fields method in multiply connected regions were obtained. Comparative analysis of the results of numerical experiments performed on the frequency characteristics of the electric field of the radiating systems for different modes of radiation allow to establish a number of subtle effects of the formation of the electric field of radiators.

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Article describes the method for calculating physical fields of the cylindrical sonar array formed with the some certain, finite number of cylindrical piezoceramic transducer with radial polarization, of compensated or strength design, and cylindrical, acoustical soft, baffle situated in the middle of the array. To obtain the equations, that allow us to calculatephysical fields of this array we have solved the "pass-through" problem of sound radiation of this array. The main feature of the studied problem was that we described the work of the transducer beginning from its electrical input, unlike the classical method, when we set the oscillating velocity of the surface of the transducer as a constant. In addition, thismethod for calculating parameters of the studied array allows us to take into consideration the interaction of the physical fields in the transducer and in the array generally, and the interaction between transducers in the array and between transducers and the baffle. Constructed mathematical model allows us to provide investigations for huge amount of cylindrical arrays of similar design, because, it allows us to change such parameters of array as its dimension generally, dimensions of the baffle, the distance between the baffle and the transducers, the working medium of the array, quantity of transducers in the array, the position of each transducer in the array and the parameters of each transducer, such as its own dimensions, such as the central diameter and the thickness of the piezoceramic rings, the filling of each transducer and the material of each transducer. The obtained solution of this problem allows us to calculate the acoustic potential and the displacement of the surface of transducer. Using these parameters we obtained the equations for calculating physical fields of transducer, such as electrical current, that used for studying electrical field, oscillating velocity of the surface of transducer, used for studying the mechanical field, and acoustic pressure, which allow us to study acoustic parameters of the array, such as its directivity characteristics.Also, the obtained solutions allow us to study the fields in the inner cavity of transducer, that is also of big interest. Bibl. 7, fig. 1.

With the help of coupled fields method in multiply connected regions, we obtained analytical relations describing the physical fields of cylindrical piezoceramic radiators with circumferential polarization, which are part of cylindrical systems with a screen in the internal cavity. Based on the obtained relationships, quantitative estimates of the parameters of the electric, mechanical, and acoustic fields of the radiatos are performed when operating in circular systems with a screen, the analysis of which revealed the degree of influence of the fields on each other.

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