Impulse irradiation of layered medium by the open end of circular waveguide

The radiation of impulse signal from the open end of a circular waveguide is considered by analytical and direct numerical methods. The radiation of short pulse from the aperture is considered by calculation of special time form of field by means of modal basis method that permits to transform the nonstationary three-dimensional electrodynamic problem into the problem for one-dimensional evolutionary equations by means of the construction of modal basis for electromagnetic field with arbitrary time dependence. The method is applied to solve the problem of pulse evolution for positive and negative time with the use of Laplace transform by construction of operator of propagation. The approach is employed to form the short pulse on aperture of circular waveguide for irradiation of layered medium with losses.