Saturation of parametric instabilities in lower hybrid heating of tokamak plasmas

Jukka Heikkinen, Seppo Karttunen

Research output: Contribution to journalArticleScientificpeer-review

1 Citation (Scopus)

Abstract

A non-linear analysis of parametric instabilities in lower hybrid heating of tokamak plasmas is presented. Harmonic generation of the low frequency mode and its effect on the evolution of the parametric decay of a lower hybrid pump to another lower hybrid wave and a low frequency mode is investigated, and numerical calculations of the relevant wave system are carried out. It is found that the coupling of the low frequency wave to its harmonic may effectively suppress the spatial growth of the primary instability. This may be particularly true at the plasma edge of the tokamak, where electron and ion temperatures are low and the primary instability is strong at high pump intensity. The spectral dependence of the harmonic generation strength is compared with that of the primary instability, and the effect on pump depletion with relevant tokamak parameters is discussed.
Original languageEnglish
Pages (from-to)135-147
JournalNuclear Fusion
Volume27
Issue number1
DOIs
Publication statusPublished - 1987
MoE publication typeA1 Journal article-refereed

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saturation
heating
pumps
low frequencies
harmonic generations
ion temperature
depletion
electron energy
harmonics
decay

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Heikkinen, Jukka ; Karttunen, Seppo. / Saturation of parametric instabilities in lower hybrid heating of tokamak plasmas. In: Nuclear Fusion. 1987 ; Vol. 27, No. 1. pp. 135-147.
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Saturation of parametric instabilities in lower hybrid heating of tokamak plasmas. / Heikkinen, Jukka; Karttunen, Seppo.

In: Nuclear Fusion, Vol. 27, No. 1, 1987, p. 135-147.

Research output: Contribution to journalArticleScientificpeer-review

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AU - Heikkinen, Jukka

AU - Karttunen, Seppo

PY - 1987

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N2 - A non-linear analysis of parametric instabilities in lower hybrid heating of tokamak plasmas is presented. Harmonic generation of the low frequency mode and its effect on the evolution of the parametric decay of a lower hybrid pump to another lower hybrid wave and a low frequency mode is investigated, and numerical calculations of the relevant wave system are carried out. It is found that the coupling of the low frequency wave to its harmonic may effectively suppress the spatial growth of the primary instability. This may be particularly true at the plasma edge of the tokamak, where electron and ion temperatures are low and the primary instability is strong at high pump intensity. The spectral dependence of the harmonic generation strength is compared with that of the primary instability, and the effect on pump depletion with relevant tokamak parameters is discussed.

AB - A non-linear analysis of parametric instabilities in lower hybrid heating of tokamak plasmas is presented. Harmonic generation of the low frequency mode and its effect on the evolution of the parametric decay of a lower hybrid pump to another lower hybrid wave and a low frequency mode is investigated, and numerical calculations of the relevant wave system are carried out. It is found that the coupling of the low frequency wave to its harmonic may effectively suppress the spatial growth of the primary instability. This may be particularly true at the plasma edge of the tokamak, where electron and ion temperatures are low and the primary instability is strong at high pump intensity. The spectral dependence of the harmonic generation strength is compared with that of the primary instability, and the effect on pump depletion with relevant tokamak parameters is discussed.

U2 - 10.1088/0029-5515/27/1/012

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