# Dissipation of Energy of an AC Electric Field in a Semi-Infinite Electron Plasma with Mirror Boundary Conditions

## Abstract

Absorption of the electromagnetic energy in a semi-infinite electron plasma is calculated for an arbitrary degree of the electron gas degeneracy. Absorption is determined by solving the boundary-value problem on the oscillations of electron plasma in a half-space with mirror boundary conditions for electrons. The Vlasov−Boltzmann kinetic equation with the Bhatnagar–Gross–Krook collision integral for the electron distribution function and Maxwell’s equation for the electric field are employed. The electron distribution function and the electric field inside plasma are searched for in the form of expansions in the eigenfunctions of the initial set of equations. The expansion coefficients are found for the case of mirror boundary conditions. The contribution of the plasma surface to absorption is analyzed. Cases with different degrees of electron gas degeneracy are considered. It is shown that absorption of the electromagnetic energy near the surface depends substantially on the ratio between the electric field frequency and the volumetric electron collision frequency.

- Authors:

- Moscow Region State University (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22763213

- Resource Type:
- Journal Article

- Journal Name:
- Plasma Physics Reports

- Additional Journal Information:
- Journal Volume: 44; Journal Issue: 10; Other Information: Copyright (c) 2018 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-780X

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ABSORPTION; BOUNDARY CONDITIONS; COLLISION INTEGRALS; DISTRIBUTION FUNCTIONS; EIGENFUNCTIONS; ELECTRIC FIELDS; ELECTRON COLLISIONS; KINETIC EQUATIONS

### Citation Formats

```
Suleimanova, S. Sh., E-mail: sevda-s@yandex.ru, and Yushkanov, A. A., E-mail: yushkanov@inbox.ru.
```*Dissipation of Energy of an AC Electric Field in a Semi-Infinite Electron Plasma with Mirror Boundary Conditions*. United States: N. p., 2018.
Web. doi:10.1134/S1063780X18100112.

```
Suleimanova, S. Sh., E-mail: sevda-s@yandex.ru, & Yushkanov, A. A., E-mail: yushkanov@inbox.ru.
```*Dissipation of Energy of an AC Electric Field in a Semi-Infinite Electron Plasma with Mirror Boundary Conditions*. United States. doi:10.1134/S1063780X18100112.

```
Suleimanova, S. Sh., E-mail: sevda-s@yandex.ru, and Yushkanov, A. A., E-mail: yushkanov@inbox.ru. Mon .
"Dissipation of Energy of an AC Electric Field in a Semi-Infinite Electron Plasma with Mirror Boundary Conditions". United States. doi:10.1134/S1063780X18100112.
```

```
@article{osti_22763213,
```

title = {Dissipation of Energy of an AC Electric Field in a Semi-Infinite Electron Plasma with Mirror Boundary Conditions},

author = {Suleimanova, S. Sh., E-mail: sevda-s@yandex.ru and Yushkanov, A. A., E-mail: yushkanov@inbox.ru},

abstractNote = {Absorption of the electromagnetic energy in a semi-infinite electron plasma is calculated for an arbitrary degree of the electron gas degeneracy. Absorption is determined by solving the boundary-value problem on the oscillations of electron plasma in a half-space with mirror boundary conditions for electrons. The Vlasov−Boltzmann kinetic equation with the Bhatnagar–Gross–Krook collision integral for the electron distribution function and Maxwell’s equation for the electric field are employed. The electron distribution function and the electric field inside plasma are searched for in the form of expansions in the eigenfunctions of the initial set of equations. The expansion coefficients are found for the case of mirror boundary conditions. The contribution of the plasma surface to absorption is analyzed. Cases with different degrees of electron gas degeneracy are considered. It is shown that absorption of the electromagnetic energy near the surface depends substantially on the ratio between the electric field frequency and the volumetric electron collision frequency.},

doi = {10.1134/S1063780X18100112},

journal = {Plasma Physics Reports},

issn = {1063-780X},

number = 10,

volume = 44,

place = {United States},

year = {2018},

month = {10}

}