# Poloidal field effects on fundamental minority ion cyclotron resonance heating in a tokamak plasma

## Abstract

Minority ion fundamental cyclotron resonance is studied in a large tokamak in which the geometrical optics approximation applies off resonance and the minority average speed is less than the wave phase speeds. Poloidal equilibrium magnetic field effects are included, which lead to nontrivially nonlocal integrodifferential equations for the wave fields. Exact reciprocity relation is given as well as explicit analytic solutions for the transmission coefficients for both the high and low field side incidences. Numerical solutions are needed only for the high field side incident reflection coefficient. Numerical schemes are described and numerical results are presented together with a reliable error bound. Typically, energy absorption increases with poloidal field. The energy absorption increases with minority density at low values of minority density. However, it decreases at high minority density. Poloidal field effects weaken the dependence of energy absorption on the toroidal wave number. (c) 2000 American Institute of Physics.

- Authors:

- Department of Physics, Korea Advanced Institute of Science and Technology, Taejon, Korea 305-701 (Korea, Republic of)
- Courant Institute of Mathematical Sciences, New York University, New York, New York 10012 (United States)

- Publication Date:

- OSTI Identifier:
- 20216035

- Resource Type:
- Journal Article

- Journal Name:
- Physics of Plasmas

- Additional Journal Information:
- Journal Volume: 7; Journal Issue: 5; Other Information: PBD: May 2000; Journal ID: ISSN 1070-664X

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; TOKAMAK DEVICES; ICR HEATING; PLASMA HEATING; PLASMA CONFINEMENT; TOROIDAL CONFIGURATION; THEORETICAL DATA

### Citation Formats

```
Jun, S. C., Imre, Kaya, Stevens, D. C., Weitzner, Harold, and Chang, C. S.
```*Poloidal field effects on fundamental minority ion cyclotron resonance heating in a tokamak plasma*. United States: N. p., 2000.
Web. doi:10.1063/1.873966.

```
Jun, S. C., Imre, Kaya, Stevens, D. C., Weitzner, Harold, & Chang, C. S.
```*Poloidal field effects on fundamental minority ion cyclotron resonance heating in a tokamak plasma*. United States. doi:10.1063/1.873966.

```
Jun, S. C., Imre, Kaya, Stevens, D. C., Weitzner, Harold, and Chang, C. S. Mon .
"Poloidal field effects on fundamental minority ion cyclotron resonance heating in a tokamak plasma". United States. doi:10.1063/1.873966.
```

```
@article{osti_20216035,
```

title = {Poloidal field effects on fundamental minority ion cyclotron resonance heating in a tokamak plasma},

author = {Jun, S. C. and Imre, Kaya and Stevens, D. C. and Weitzner, Harold and Chang, C. S.},

abstractNote = {Minority ion fundamental cyclotron resonance is studied in a large tokamak in which the geometrical optics approximation applies off resonance and the minority average speed is less than the wave phase speeds. Poloidal equilibrium magnetic field effects are included, which lead to nontrivially nonlocal integrodifferential equations for the wave fields. Exact reciprocity relation is given as well as explicit analytic solutions for the transmission coefficients for both the high and low field side incidences. Numerical solutions are needed only for the high field side incident reflection coefficient. Numerical schemes are described and numerical results are presented together with a reliable error bound. Typically, energy absorption increases with poloidal field. The energy absorption increases with minority density at low values of minority density. However, it decreases at high minority density. Poloidal field effects weaken the dependence of energy absorption on the toroidal wave number. (c) 2000 American Institute of Physics.},

doi = {10.1063/1.873966},

journal = {Physics of Plasmas},

issn = {1070-664X},

number = 5,

volume = 7,

place = {United States},

year = {2000},

month = {5}

}