Abstract
Theory of initial stage of the breakdown in non-uniform gas flow
Highlights
A2 r2 were a stands for characteristic length of the gas density localization
F U,W stands for complex amplitude of electric field, normalized to the threshold value at opening output, U Z r c is radial coordinate, normalized to the wave number of electromagnetic field in vacuum, H 1 n iG n is complex dielectric permittivity of plasma, n N Nc 1 G 2 is normalized plasma density, Nc denotes the critical plasma density, G Q Z G0 p p0 denotes the normalized frequency, Q, of electron collisions with neutral molecules, W D0 Z c 2 t stands for the normalized time, D0 is electron diffusion coefficient at the opening output, P= p/p0 stands for the normalized gas density, A=|F|
It was found that an increase in the amplitude of the incident microwave is not accompanied by plasma density at the axis instead this increase results in an increase of the volume occupied by plasma
Summary
A2 r2 were a stands for characteristic length of the gas density localization. It was assumed that plasma density is small compared to density of neutral molecules and the ionization process does not affect the gas density distribution. For the discharge in air with relatively high density (when electron collision frequency exceeds field frequency) the stationary spatial distribution of plasma density was found to be approximately the same as predicted by V.B. Gildenburg on the base of a very simple analytical model [5].
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