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

## Abstract

High harmonic ion cyclotron resonances are important for understanding future fast wave heating experiments on NSTX1 as well as recent ICRF flow drive experiments on PBX-M2 and TFTR3. Unfortunately, many of our ICRF wave analysis codes are based on an expansion to second order in k{sub (perpendicular} {sub sign)}{rho} where k{sub (perpendicular} {sub sign)} 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 codes4,5 on the other hand, are valid to all orders is both k{sub (perpendicular} {sub sign)}{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} {sub sign)}{rho}. This allows high harmonic fast wave and flow drive applications, while requiring less computing time than conventional integral codes. (c) 1999 American Institute of Physics.

- Authors:

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

- Publication Date:

- OSTI Identifier:
- 20216710

- Resource Type:
- Journal Article

- Journal Name:
- AIP Conference Proceedings

- Additional Journal Information:
- Journal Volume: 485; Journal Issue: 1; Other Information: PBD: 20 Sep 1999; Journal ID: ISSN 0094-243X

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ICR HEATING; TOKAMAK TYPE REACTORS; BERNSTEIN MODE; WAVE EQUATIONS; BOLTZMANN STATISTICS; THEORETICAL DATA; NSTX DEVICE

### 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} {sub sign)}{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} {sub sign)}{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} {sub sign)}{rho}". United States. doi:10.1063/1.59695.
```

```
@article{osti_20216710,
```

title = {Local one-dimensional ICRF full-wave solutions valid to all orders in k{sub (perpendicular} {sub sign)}{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 NSTX1 as well as recent ICRF flow drive experiments on PBX-M2 and TFTR3. Unfortunately, many of our ICRF wave analysis codes are based on an expansion to second order in k{sub (perpendicular} {sub sign)}{rho} where k{sub (perpendicular} {sub sign)} 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 codes4,5 on the other hand, are valid to all orders is both k{sub (perpendicular} {sub sign)}{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} {sub sign)}{rho}. This allows high harmonic fast wave and flow drive applications, while requiring less computing time than conventional integral codes. (c) 1999 American Institute of Physics.},

doi = {10.1063/1.59695},

journal = {AIP Conference Proceedings},

issn = {0094-243X},

number = 1,

volume = 485,

place = {United States},

year = {1999},

month = {9}

}