# Local one-dimensional ICRF full-wave solutions valid to all orders in k{sub perpendicular}{rho}

## Abstract

High harmonic ion cyclotron resonances are important for understanding future fast wave heating experiments on NSTX{sup 1} as well as recent ICRF flow drive experiments on PBX-M{sup 2} and TFTR{sup 3}. Unfortunately, many of our ICRF wave analysis codes are based on an expansion to second order in k{sub perpendicular}{rho} where k{sub perpendicular} is the perpendicular wave number, and {rho} is the Larmor radius. Such codes are limited to cyclotron harmonics less than or equal to 2. Integral codes{sup 4,5} on the other hand, are valid to all orders is both k{sub perpendicular}{rho} and {rho}/L where L is the equilibrium scale length. But velocity space integrals in these codes require long running times. Here we take a simpler approach which assumes a local plasma conductivity ({rho}/L<<1), while still retaining all orders in k{sub perpendicular}{rho}. This allows high harmonic fast wave and flow drive applications, while requiring less computing time than conventional integral codes.

- Authors:

- Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-8071 (United States)

- Publication Date:

- OSTI Identifier:
- 21210491

- Resource Type:
- Journal Article

- Journal Name:
- AIP Conference Proceedings

- Additional Journal Information:
- Journal Volume: 485; Journal Issue: 1; Conference: 13. topical conference on radio frequency power in plasmas, Annapolis, MD (United States), 12-14 Apr 1999; Other Information: DOI: 10.1063/1.59695; (c) 1999 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; COMPUTER CODES; COMPUTERIZED SIMULATION; CYCLOTRON HARMONICS; ELECTRIC CONDUCTIVITY; ICR HEATING; INTEGRALS; ION CYCLOTRON-RESONANCE; LARMOR RADIUS; MAGNETOHYDRODYNAMICS; MATHEMATICAL SOLUTIONS; MAXWELL EQUATIONS; NSTX DEVICE; PBX DEVICES; PLASMA; PLASMA SIMULATION; RF SYSTEMS; TFTR TOKAMAK

### Citation Formats

```
Jaeger, E. F., Berry, L. A., and Batchelor, D. B.
```*Local one-dimensional ICRF full-wave solutions valid to all orders in k{sub perpendicular}{rho}*. United States: N. p., 1999.
Web. doi:10.1063/1.59695.

```
Jaeger, E. F., Berry, L. A., & Batchelor, D. B.
```*Local one-dimensional ICRF full-wave solutions valid to all orders in k{sub perpendicular}{rho}*. United States. doi:10.1063/1.59695.

```
Jaeger, E. F., Berry, L. A., and Batchelor, D. B. Mon .
"Local one-dimensional ICRF full-wave solutions valid to all orders in k{sub perpendicular}{rho}". United States. doi:10.1063/1.59695.
```

```
@article{osti_21210491,
```

title = {Local one-dimensional ICRF full-wave solutions valid to all orders in k{sub perpendicular}{rho}},

author = {Jaeger, E. F. and Berry, L. A. and Batchelor, D. B.},

abstractNote = {High harmonic ion cyclotron resonances are important for understanding future fast wave heating experiments on NSTX{sup 1} as well as recent ICRF flow drive experiments on PBX-M{sup 2} and TFTR{sup 3}. Unfortunately, many of our ICRF wave analysis codes are based on an expansion to second order in k{sub perpendicular}{rho} where k{sub perpendicular} is the perpendicular wave number, and {rho} is the Larmor radius. Such codes are limited to cyclotron harmonics less than or equal to 2. Integral codes{sup 4,5} on the other hand, are valid to all orders is both k{sub perpendicular}{rho} and {rho}/L where L is the equilibrium scale length. But velocity space integrals in these codes require long running times. Here we take a simpler approach which assumes a local plasma conductivity ({rho}/L<<1), while still retaining all orders in k{sub perpendicular}{rho}. This allows high harmonic fast wave and flow drive applications, while requiring less computing time than conventional integral codes.},

doi = {10.1063/1.59695},

journal = {AIP Conference Proceedings},

issn = {0094-243X},

number = 1,

volume = 485,

place = {United States},

year = {1999},

month = {9}

}