The results of the study on the influence of the geometric shape of the damper on its effectiveness and the overall efficiency of the radiation-reception system are presented. One of the possible forms of the damper is considered, where it is shaped like a truncated cone, and its generatrix has an inclination angle relative to the plane of the piezoplate. A criterion for evaluating the efficiency of the damper’s operation is proposed. The study includes the results of computational-theoretical (using the finite element method) and experimental research on the influence of the incline angle of the damper’s generatrix on the signal reflected from its rear part. The inclination angle of the generatrix, at which the minimum of parasitic signals is achieved, is determined. The radiation-reception system is investigated under water loading, and a satisfactory agreement between the theoretical and experimental results is noted.