Sheath instability

Sheath instability is instability in plasma device where ions forms Sheath near electrode becomes unstable. It is examined as Rayleigh–Taylor instability growth rate is compared.

$\omega ^{2}-({\frac {e}{m}})E_{0}(L_{n}^{-}1+{\frac {n_{1}^{'}}{n_{0}}})-i{\omega }v_{0}^{'}=0$