Skin effect with arbitrary specularity in Maxwellian plasma

TL;DR

This paper introduces a new analytical method to solve the skin effect in Maxwellian plasma with arbitrary boundary conditions, providing solutions of adjustable accuracy through symmetric continuation and von Neumann series.

Contribution

A novel analytical approach for the skin effect in plasma with arbitrary boundary specularity, enabling solutions of any desired accuracy.

Findings

Method allows for arbitrary accuracy in solutions.

Solution expressed as a von Neumann series.

Applicable to Maxwellian plasma with specular-diffuse boundaries.

Abstract

The problem of skin effect with arbitrary specularity in maxwellian plasma with specular--diffuse boundary conditions is solved. A new analytical method is developed that makes it possible to to obtain a solution up to an arbitrary degree of accuracy. The method is based on the idea of symmetric continuation not only the electric field, but also electron distribution function. The solution is obtained in a form of von Neumann series.