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A one dimensional Vlasov Poisson simulation code is employed to investigatethe plasma sheath considering electron induced secondary electron emission(SEE) and backscattering. The SEE coefficient is commonly treated as constantin a range of plasma simulations, here improved SEE model of a chargeddielectric wall is constructed which includes the wall charging effect on SEEcoefficient and the energy dependency of SEE coefficient. Pertinent algorithmsto implement above SEE model in plasma simulation are studied in detail. It isfound that the SEE coefficient increases with the amount of negative wallcharges, which in turn reduces the emissive sheath potential. With energydependent SEE coefficient, the sheath potential is a nonlinear function of theplasma electron temperature, as opposed to the linear relation predicted byclassic emissive sheath theory. Simulation combining both wall charging effectand SEE coefficient energy dependency suggests that the space charged limitedsheath is formed at high plasma electron temperature levels, where both sheathpotential and surface charging saturate. Additionally, different algorithms toimplement the backscattering in kinetic simulation are tested and compared.Converting backscattered electron to secondary electron via an effective SEEcoefficient barely affects the sheath properties. The simulation results areshown to be commensurate with the upgraded sheath theory predictions.

frontiers in physics

Vlasov Simulation of Emissive Plasma Sheath with Energy-Dependent  Secondary Emission Coefficient and Improved Modeling for Dielectric Charging  Effects