Innovating SI Units in Maxwell's Equations. Evolutionary Approach to Electrodynamics as an Alternative to the Time-Harmonic Field Concept

摘要

A novel format of Maxwell's equations in SI units is proposed. To this aim, the original field vectors,n$mathcal{E}$nandn$mathcal{H}$n, are scaled by the specially introduced factors, carrying dimension of volt and ampere, respectively. Maxwell's equations in novel format involve only one dimensional physical constant, namely: the speed of light in vacuum. Maxwell's equations in that format are applied for studying propagation in waveguides of the time-varying waveforms (signals). To this aim, a simplified waveguide version of the evolutionary approach to electrodynamics is presented. Ultimately, modal amplitudes of the signals are expressed via solutions to Klein-Gordon equation, the arguments of which involve axial coordinaten$z$nand timen$t$nas variables.