Analytical study of the TE-waveguide modes in time domain

The problem of propagation is solved for circular waveguide TE-modal waveforms within the framework of the evolutionary approach to electrodynamics (EAE). Physical dimensions of the electric and magnetic intensity vectors, volt per meter and ampere per meter, ingressed in Maxwell's equations are factorized in SI units. Then a system of evolutionary equations for the modal amplitudes dependent on axial coordinate and time are obtained from the Maxwell's equations supplemented with the boundary conditions for perfect electric conductor surfaces. Solutions for the waveguide modal fields and for the energetic field characteristics are presented graphically.