Numerical solutions of Maxwell's equations in 3D in frequency domain with linear sheath boundary conditions

In this paper, we construct a numerical technique capable of solving Maxwell's equations in the frequency domain, both in vacuum and in cold magnetized plasma, with a boundary condition that guarantees the existence of a potential associated with the radio frequency electric fields tangential to certain surfaces. This potential is of interest to nonlinear sheath physics, since it enables the calculation of the time-dependent sheath current excited by a single-frequency electromagnetic wave and thereby the associated DC sheath current and sheath potential.In this paper, we construct a numerical technique capable of solving Maxwell's equations in the frequency domain, both in vacuum and in cold magnetized plasma, with a boundary condition that guarantees the existence of a potential associated with the radio frequency electric fields tangential to certain surfaces. This potential is of interest to nonlinear sheath physics, since it enables the calculation of the time-dependent sheath current excited by a single-frequency electromagnetic wave and thereby the associated DC sheath current and sheath potential.