Ii. Beilis et al., A MECHANISM FOR ION-ACCELERATION NEAR THE ANODE OF A MAGNETICALLY INSULATED ION DIODE, IEEE transactions on plasma science, 26(3), 1998, pp. 995-999
We propose a theoretical model for the ion acceleration near the anode
in the anode plasma of a magnetically insulated ion diode (MID). The
applied diode voltage is screened by the anode plasma. We assume that
as a result of the strong magnetization of the electrons and nonmagnet
ization of the ions in the anode plasma, a narrow space charge sheath
is formed near the anode, of a width close to the electron Larmor radi
us. The potential drop that is formed across the sheath accelerates th
e ions born inside the sheath into the plasma. We solve a system of eq
uations for the sheath and derive an approximate expression for the po
tential drop across the sheath. This expression exhibits the dependenc
e of the ion energy on the magnetic field intensity and on the electro
n temperature and density. We also discuss an influence of the sheath
width to the electron Larmor radius ratio as a parameter. The theoreti
cal results are found to be in good agreement with the experimental me
asurements.