Construction of solutions to electromagnetic problems in terms of two collinear vector potentials

In this work, the construction of solutions to general transient EM problems in terms of two collinear vector potentials (VPs) is subjected to a careful theoretical study and numerical verification. The problems are considered to be general in the sense that the medium can be inhomogeneous, lossy and may contain sources. Anisotropy is not considered in this paper. First, the completeness of the solution in terms of the two VPs is addressed. …