Derivation of energetic properties of the waveguide fields in time-domain

Abstract

The waveguide problem is one of the most studied problems of the electromagnetic theory. In this study. instead of classical time-harmonic electromagnetics, time-domain waveguide problem is solved in time-domain as real-valued functions of time with making usage of the Evolutionary Approach to Electromagnetics (EAE). With an novel scaling procedure Maxwell's equations are rearranged to the symmetrical form in the SI unit system. Klein-Gordon equation (KGE) plays an important role in the EAE for waveguide problem. Solving KGE results in the modal amplitudes for the waveguide, and the energetic properties of the electromagnetic fields are studied in SI unit system with our new scaling procedure.