Oscillations of Degenerate Plasma in Layer with Specular - Accommodative Boundary Conditions

TL;DR

This paper analytically solves the problem of plasma oscillations in thin layers with specific boundary conditions, deriving explicit formulas for electron distribution, electric field, and energy absorption.

Contribution

It introduces a novel analytical solution for plasma oscillations considering specular-accommodative boundary conditions, including spectrum coefficients and explicit electron distribution functions.

Findings

Explicit formulas for electron distribution at the boundary

Calculation of electric field and energy absorption

Identification of spectrum coefficients in the problem

Abstract

The linearized problem of plasma oscillations in layer (particularly, in thin films) in external longitudinal alternating electric field is solved analytically. Specular - accommodative boundary conditions of electron reflection from the plasma boundary are considered. Coefficients of continuous and discrete spectra of the problem are found, and electron distribution function on the plasma boundary and electric field are expressed in explicit form. Absorption of energy of electric field in layer is calculated.