Modeling of the asymmetrical vertical vibrator of finite thickness

The problem of radiation of a cylindrical vibrator of arbitrary radius at axisymmetric excitation was investigated with the help of a rigorous electrodynamical method. The basis of the suggested approach is a representation of surface currents flowing on the vibrator as an expansion in basic functions of subdomains of the vibrator surface. The solution is reduced to an infinite set of algebraic equations in unknown coefficients of the current expansion with a matrix consisting of generalized impedance and vector of voltages as a free part of the system. The convergence of integrals with infinite upper limit was essentially improved by isolation and analytical calculation of the static part of. the diffraction problem operator. These integrals are connected with elements of the matrix of generalized impedances. The comparison of the results obtained using the presented approach with known ones is carried out.