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Nonlinear bipolar conduction with sinusoidal voltage excitations

A drift dominated conduction model is often used in the analysis of charge transport through a dielectric where the velocities of charge carriers are proportional to the local electric field through their mobilities. In return the electric field is also related to the carrier charge densities through Gauss's law. Using this conduction model recent work has developed a generalized method which solves for the electric field and space charge distributions and the time dependence of the terminal current for any initial and boundary conditions with any terminal excitation or constraint.1–5 While this past work has emphasized the transient response to a step voltage, in this study we consider a sinusoidally varying applied voltage for bipolar conduction including Langevin recombination6 and also consider the effects of a lossy dielectric with ohmic conductivity. Analytical solutions for the terminal current are compared to preliminary experiments.