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.