MM09 – FiPo FDTD: Computational Electrodynamics Technique Producing Both Fields and Potentials

We present the field–potential finite-difference time-domain (FiPo FDTD) algorithm, which solves a set of first-order equations for the electric and magnetic fields (E and H), as well as the magnetic vector potential A and the scalar electric potential φ in the Lorenz gauge. We also present the derivation and implementation of a convolutional perfectly matched layer absorbing boundary condition for this new set of equations. Potentials A and φ can be used as input for the single-particle electron Hamiltonian in quantum transport solvers.