Dispersion relations of toroidal plasma surface waves in quasi-electrostatic state

Author

Tsuchimoto, Masanori ; Honma, Toshihisa ; Miya, Kenzo

Author_Institution

Nucl. Eng. Res. Lab., Tokyo Univ., Ibaraki, Japan

Volume

19

Issue

2

fYear

1991

fDate

4/1/1991 12:00:00 AM

Firstpage

428

Lastpage

432

Abstract

Dispersion relations of toroidal plasma-surface waves are studied by using the boundary element method for cold plasmas in a quasi-electrostatic state. When sinusoidal waves are assumed for the toroidal direction, a governing equation becomes the axisymmetric modified Helmholtz equation. Application of boundary conditions reduces the study to an analysis of an eigenvalue problem. Fundamental solutions that are used in the analysis depend on the toroidal mode number of the surface waves. Dispersion relations of circular cross-sectional plasmas are in good agreement with exact solutions for parameters of toroidal modes, poloidal modes, and the aspect ratio. Effects of the elongation ratio on the dispersion relations are also studied in the analysis of toroidal plasma with an oval cross section

Keywords

dispersion (wave); plasma toroidal confinement; plasma waves; aspect ratio; axisymmetric modified Helmholtz equation; boundary element method; circular cross-sectional plasmas; cold plasmas; dispersion relations; eigenvalue problem; poloidal modes; quasi-electrostatic state; sinusoidal waves; toroidal mode number; toroidal modes; toroidal plasma surface waves; Boundary conditions; Boundary element methods; Dispersion; Eigenvalues and eigenfunctions; Equations; Permittivity; Plasma applications; Plasma density; Plasma waves; Surface waves;

fLanguage

English

Journal_Title

Plasma Science, IEEE Transactions on

Publisher

ieee

ISSN

0093-3813

Type

jour

DOI

10.1109/27.106842

Filename

106842