Skin Effect Problem With The Displacement Current In Maxwell Plasma By The Source Method

TL;DR

This paper presents an analytical solution to the skin effect problem in Maxwell plasma considering the displacement current, using the source method and kinetic equations, with implications for plasma resonance behavior.

Contribution

It introduces a novel analytical approach to the skin effect in Maxwell plasma incorporating displacement current and boundary conditions.

Findings

Impedance behavior near plasma resonance analyzed

Analytical solutions for skin effect derived

Limiting cases of skin effect discussed

Abstract

We found the analytical solution to the problem of the skin effect for Maxwell plasma with the use of the kinetic equation, where the frequency of electron collisions is constant. We use the specular reflection of electrons from the surface as a boundary condition. The behavior of an impedance near to a plasma resonance is considered. We consider limiting cases of skin effect.