I have seen approximate formula depending on density and if it is fully or partially ionized.
I should add it to the excel table: Data Useful formula and excel tables for plasma physics V08
If there are several cases, I should like to add the cases to the excel table (I can use if inside excel formula), also visual basic can be used to include Bessel functions
Dear Prof. Javier Luis López, interesting question. I found the following reference for general and discharges plasmas
Conference Paper Plasma impedance prediction model and impedance matching by ...
also, I found instructive (for isotropic electron plasma in normal metals)
http://www.che.uh.edu/sites/chbe/files/faculty/economou/psst_97_skin_effect.pdf
On the other hand, the most general equation for the impedance in the case of an anomalous skin effect comes when Fermi surfaces are highly anisotropic. Please see the following article and the references therein:
Article To the theory of the anomalous skin effect in metals with co...
As the entire plasma sheath structure is describable with the help of a sheath-equivalent series resonance (LCR) circuit, so the effective plasma impedance can be expressed with the help of that of the circuit
Zp= (2πε0)-1(d fp-1);
d:= Electrode separation;
fp:= Plasma relaxation frequency
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