ABSTRACT
This chapter presents a transformation of the electromagnetic field drift-diffusion system such that the resulting equations become much more attractive to solve at extreme high frequencies. As was demonstrated the incorporation of magnetic effects into the semi-conductor equations demands that these effects are represented by the vector potential. The key argument is that the Poisson potential is required to obtain the carrier densities. The chapter reports on the learning cycles for setting up a successful series of linear solving settings to arrive at good convergence of the newly proposed formulation. The AV and EV solvers have a complementary working range. The AV solver works well at low and medium frequencies whereas the EV solver behaves competent at high frequencies. The chapter presents a numerical experiment to demonstrate the characteristics of the AV and EV schemes. It focuses on the eigenvalues and condition numbers of the Newton-Raphson matrices.
