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.
