Skip to main content Accessibility help
×
Home
Hostname: page-component-5d6d958fb5-z6b88 Total loading time: 0.15 Render date: 2022-11-28T23:23:07.512Z Has data issue: true Feature Flags: { "shouldUseShareProductTool": true, "shouldUseHypothesis": true, "isUnsiloEnabled": true, "useRatesEcommerce": false, "displayNetworkTab": true, "displayNetworkMapGraph": false, "useSa": true } hasContentIssue true

Adiabatic theory of nonlinear electron-cyclotron resonance heating

Published online by Cambridge University Press:  13 March 2009

I. A. Kotel'nikov
Affiliation:
Institute of Nuclear Physics, 630090, Novosibirsk, U.S.S.R.
G. V. Stupakov
Affiliation:
Institute of Nuclear Physics, 630090, Novosibirsk, U.S.S.R.

Abstract

Plasma heating at the electron-cyclotron frequency by an ordinary wave propagating at right-angles to a unidirectional magnetic field is considered. The injected microwave power is assumed to be sufficiently large that the relativistic change in electron gyrofrequency during one flight through the wave beam is much greater than inverse time of flight. The electron motion in the wave field is described using the Hamiltonian formalism in the adiabatic approximation. It is shown that energy coupling from the wave to electrons is due to a bifurcation of the electron trajectory, which results in a jump in the adiabatic invariant. The probability of a bifurcational transition from one trajectory to another is calculated analytically and used for the estimation of the beam power absorbed in the plasma.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1991

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Antonsen, T. M. & Porkolab, M. 1979 Physics of Plasmas Close to Thermonuclear Conditions: Proceedings of the International School of Plasma Physics, Varenna, Italy, vol. 1, p. 315. Pergamon.Google Scholar
Best, R. W. 1968 Physica, 41, 939.Google Scholar
Dobrott, D. & Green, J. M. 1971 Phys. Fluids, 14, 1525.CrossRefGoogle Scholar
Kotel'nikov, I. A. & Stupakov, G. V. 1990 Phys. Fluids, B 2, 871.Google Scholar
Neishtadt, A. I. 1975 Prikl. Mat. Mekh. 39, 621.Google Scholar
Neishtadt, A. I. & Timofeev, A. V. 1987 Soviet Phys. JETP, 66, 973.Google Scholar
Pilia, A. D. & Fedorov, V. I. 1987 Reviews of Plasma Physics, vol. 13 (ed. Kadomtsev, B. B.), p. 335. Consultants Bureau.Google Scholar
Suvorov, E. V. & Tokman, M. D. 1988 Fiz. Plazmy, 14, 950.Google Scholar
Tomassen, K. I. 1986 National Technical Information Service Document DE–88016919 Lawrence Livermore National Laboratory Report LLL-PROD-00202.Google Scholar
Zvonkov, A. V. & Timofeev, A. V. 1986 Soviet J. Plasma Phys. 12, 238.Google Scholar
17
Cited by

Save article to Kindle

To save this article to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Adiabatic theory of nonlinear electron-cyclotron resonance heating
Available formats
×

Save article to Dropbox

To save this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you used this feature, you will be asked to authorise Cambridge Core to connect with your Dropbox account. Find out more about saving content to Dropbox.

Adiabatic theory of nonlinear electron-cyclotron resonance heating
Available formats
×

Save article to Google Drive

To save this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you used this feature, you will be asked to authorise Cambridge Core to connect with your Google Drive account. Find out more about saving content to Google Drive.

Adiabatic theory of nonlinear electron-cyclotron resonance heating
Available formats
×
×

Reply to: Submit a response

Please enter your response.

Your details

Please enter a valid email address.

Conflicting interests

Do you have any conflicting interests? *