A Benchmarking Suite for Verification of Radio Frequency Sheath Model Implementations

Ion cyclotron range of frequency waves can interact with the Bohm sheaths on plasma facing surfaces. As a result, the plasma potential can be rectified to high voltages capable of creating energetic ions that can sputter impurities into the bulk plasma. A commonly employed model for this is the RF sheath boundary condition [J. Myra, J. Plasma Phys. 2021] in which sheath rectification and RF wave impedance physics occurring on the micro-scale within the sheath are collapsed into an infinitesimal layer and embodied in a boundary condition suitable for use in macro-scale (global) RF wave propagation codes. We present a series of benchmark problems using the Myra boundary condition that explore a range of physical phenomena associated with the presence of a non-linear sheath. These benchmarks may serve as a verifying set for future code development using a sheath boundary condition.