# Generalized theory of annularly bounded helicon waves

## Abstract

The generalized dispersion relationship for annularly bounded helicon plasma is derived. The theory considers the effect of finite electron mass, which results in the plasma field described by superposition of classical helicon solution and the Trivelpiece-Gould (TG) wave. The solution is obtained for an insulating boundary. The solution shows that the wave structure is heavily affected by the presence of the TG wave, even when a strong axial magnetic field is applied. However, the electric field profile shows that a pair of external rf antennas can still be coupled to the strong radial electric field in the plasma to excite the wave. Moreover, the general solution permits an almost continuous spectrum of parallel wave numbers. The study of k-f and n{sub 0}-B{sub 0} diagrams shows that the linear relation obtained using classical theory holds everywhere except at low applied magnetic field strength.

- Authors:

- Department of Aerospace Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332 (United States)

- Publication Date:

- OSTI Identifier:
- 20974902

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physics of Plasmas; Journal Volume: 14; Journal Issue: 3; Other Information: DOI: 10.1063/1.2716663; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ANTENNAS; BOUNDARY LAYERS; DIAGRAMS; DISPERSION RELATIONS; ELECTRIC FIELDS; ELECTRONS; HELICON WAVES; MAGNETIC FIELDS; PLASMA

### Citation Formats

```
Yano, Masayuki, and Walker, Mitchell L. R.
```*Generalized theory of annularly bounded helicon waves*. United States: N. p., 2007.
Web. doi:10.1063/1.2716663.

```
Yano, Masayuki, & Walker, Mitchell L. R.
```*Generalized theory of annularly bounded helicon waves*. United States. doi:10.1063/1.2716663.

```
Yano, Masayuki, and Walker, Mitchell L. R. Thu .
"Generalized theory of annularly bounded helicon waves". United States.
doi:10.1063/1.2716663.
```

```
@article{osti_20974902,
```

title = {Generalized theory of annularly bounded helicon waves},

author = {Yano, Masayuki and Walker, Mitchell L. R.},

abstractNote = {The generalized dispersion relationship for annularly bounded helicon plasma is derived. The theory considers the effect of finite electron mass, which results in the plasma field described by superposition of classical helicon solution and the Trivelpiece-Gould (TG) wave. The solution is obtained for an insulating boundary. The solution shows that the wave structure is heavily affected by the presence of the TG wave, even when a strong axial magnetic field is applied. However, the electric field profile shows that a pair of external rf antennas can still be coupled to the strong radial electric field in the plasma to excite the wave. Moreover, the general solution permits an almost continuous spectrum of parallel wave numbers. The study of k-f and n{sub 0}-B{sub 0} diagrams shows that the linear relation obtained using classical theory holds everywhere except at low applied magnetic field strength.},

doi = {10.1063/1.2716663},

journal = {Physics of Plasmas},

number = 3,

volume = 14,

place = {United States},

year = {Thu Mar 15 00:00:00 EDT 2007},

month = {Thu Mar 15 00:00:00 EDT 2007}

}