The frequency characteristics of the radiators of ТМ01 and ТЕ01modes of a circular metal waveguide are investigated. Radiators in the form of an open end of a circular waveguide with a stepped cut, including those with a cylindrical mirror, as well as an open end of a waveguide with an inhomogeneous anisotropic dielectric plate are considered. Numerical simulation and optimization of parameters were carried out using finite element and finite differences in time domain methods.