A.V. Sochilin, I.S. Eminov, S.I. Evinov

This work is devoted to rate of convergence the method of Galerkin. Investigation based on example of integral equation about surface current in problem of diffraction on band and integral equation of cylindrical dipole. The investigation is founded on submission of kernel integral operator like Fourier integral, power series development integral function, and analytical determinations of matrix elements operators which occurs. In process of work remarkable attributes pf matrix elements are discovered and theoretical basis of method of Galerkin in diffraction theory and antennas theory is gives. The results of numerical calculations are include. The results are accord with results the theory analysis. In the process of the analysis effective method of calculation of array cells is suggested.