Kinetic Theory of Electrostatic Surface Waves in a Magnetized Plasma Slab

Abstract

Abstract:The dispersion relation of electrostatic surface waves propagating in a magnetized plasma slab is derived from Vlasov-Poisson equations under the specular reflection boundary condition. We consider the case that the static magnetic field is parallel to the plasma-vacuum interface and the surface wave propagates obliquely to the magnetic field on the parallel plane. We find that the specular reflection boundary conditions on the plasma slab-vacuum boundaries can be satisfied, even in a magnetized plasma, by simple extension of the electric potential into the vacuum region, due to the inherent symmetry of the distribution function. Utilizing an invariance property of the kinetic surface wave solution, it is shown that the two-mode structure of the surface wave yields the symmetric and anti-symmetric modes. The kinetic dispersion relation is checked against the dispersion relations obtained from fluid equations and shows complete agreement.

Understanding the surface wave characteristics using 2D particle-in-cell simulation and deep neural network

“…The argument for such consideration is the sheath scale length, k De , which is much less than the typical scale length (depth of penetration) of the surface wave. 40,[42][43][44][45] However, one can find such dispersion including the effect of the sheath in the work by Cooperberg. 46,47 For our case, we have also observed the existence of sheath near the interface region as shown in Fig.…”

Slab-geometry surface waves on steep gradients and the origin of related numerical issues in a variety of ICRF codes

“…Since this is common wherever an unmagnetized plasma is in contact with a dielectric solid, surface waves have long been known to be relevant to plasma physics (see e.g. Kaw & McBride 1970;Aliev et al 1995Aliev et al , 2000Lee & Lee 2010;Girka, Girka & Thumm 2016;Lee, Shahmansouri & Jung 2019;Girka, Girka & Thumm 2020). If the plasma in question is the electron plasma in a solid conductor, the surface waves are 'surface plasmons' (Ritchie & Marusak 1966;Gangaraj & Monticone 2019).…”

“…Kaw & McBride 1970; Aliev et al. 1995, 2000; Lee & Lee 2010; Girka, Girka & Thumm 2016; Lee, Shahmansouri & Jung 2019; Maquet & Messiaen 2020; Girka, Girka & Thumm 2020). If the plasma in question is the electron plasma in a solid conductor, the surface waves are ‘surface plasmons’ (Ritchie & Marusak 1966; Gangaraj & Monticone 2019).…”