High-Frequency Plasma Conductivity and Dielectric Permittivity

High-Frequency Plasma Conductivity and Dielectric Permittivity 

High-frequency plasma conductivity and dielectric permittivity are important concepts to analyze the propagation of electromagnetic waves in plasma. One-dimensional electron motion in the electric field E = Eq cos cot = Re Eoe ) can be described by the equation  

The Maxwell equation curl H = + j permits one to present the total current 

The first current density component is related to the displacement current, and its amplitude in complex form can be presented as eoi coEq. The second component corresponds to the conductivity current and has an amplitude -en UQ. Thus, the amplitude of the total current density is 

Taking into account the complex electron mobility (3-279), expression (3-281) for the total current density and, hence, the Maxwell equation can be rewritten as 

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