Structure of the Electric Field in the Skin Effect Problem

TL;DR

This paper analyzes the electric field structure in plasma skin effect problems, deriving explicit formulas for the distribution function and electric field profile, especially near plasma resonance, highlighting the dominance of the discrete spectrum.

Contribution

It provides explicit expressions for the distribution function and electric field profile in plasma skin effect, emphasizing the role of the discrete spectrum near plasma resonance.

Findings

Electric field profile derived explicitly

Electric field dominated by discrete spectrum

Analysis near plasma resonance

Abstract

The structure of the electric field in a plasma has been elucidated for the skin effect problem. An expression for the distribution function in the half-space and the electric field profile have been obtained in the explicit form. The absolute value, the real part, and the imaginary part of the electric filed have been analyzed in the case of the anomalous skin effect near to a plasma resonance. It has been demonstrated that the electric field in the skin effect problem is predominantly determined by the discrete spectrum, i.e., the oscillation frequency of external field is the value of plasma frequency.