Study of the energetic eld characteristics of the TE -modal waves in waveguides

Abstract

The energetic characteristics of cylindrical medium-free time-domain waveguide elds are solved within the framework of the evolutionary approach to electromagnetics. Solving the boundary-eigenvalue problem for transverse Laplacian yields a con gurational basis in the waveguide cross section. Elements of the basis depend on transverse coordinates, whereas the modal amplitudes depend on the longitudinal coordinate, z; and time, t . Solving the resulted Klein{Gordon equation yields a basis for analysis of the modal amplitudes. Exact solutions for the amplitudes of TE- modes are obtained, and the energetic eld characteristics are derived in accordance with the causality principle.