Solution of wave diffraction problems on impedance scatterers by method of continued boundary conditions

The method of continued boundary conditions is extended to the problems of electromagnetic waves scattering by bodies with impedance boundary. The boundary problem is reduced to Fredholm integral equation of the second kind with a smooth kernel. The results of the calculations showing efficiency of the offered approach are presented. Applicability of impedance approximation to the solution of waves diffraction problems on ideally conducting bodies with the dielectric coating, having rather small sizes is shown.