Generalized formula for calculating the electric field on the electrode surface in plasma

On the surface of a metal electrode immersed in a plasma with an electron temperature Te ~ 10 eV and a plasma density ne from 1010 cm-3 to 1013 cm-3 the electric field of the electrode is calculated under the negative electric potential Ψ0 at large values of the dimensionless parameter |eΨ0|/Te >> 1. The resulting asymptotic formula for the field strength at |eΨ0|/Te >> 1 differs significantly from the classical formulas for calculating the electric field and the Debye length near the electrode surface in plasma, which are valid under the condition |eΨ0|/Te << 1. It is shown that at |eΨ0|/Te >> 1 a modified Debye layer in the plasma near the electrode can exceed the classical Debye length by two orders of magnitude. To calculate the electric field on the electrode surface in plasma a generalized formula is proposed explicitly, which is valid in a wide range of values of the parameter 0 < |eΨ0|/Te < 103 at negative values of the electrode potential up to 10 kV. © 2023 Federal Informational-Analytical Center of the Defense Industry. All rights reserved.