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Theory of MHD waves

K Appert, G A Collins, T Hellsten, J Vaclavik, L Villard1986年Plasma Physics and Controlled FusionIF 2.2出版社

Reviews recent developments in the theory of MHD waves in connection with radio-frequency heating in the Alfven wave and ion cyclotron ranges of frequencies (AWRF, ICRF). The account focuses on the discussion of full wave solutions and the oscillation spectra in bounded, generally inhomogeneous, plasmas. Original results are presented concerning forced ICRF oscillations in a current-carrying torus. The effects on the wave structures of the equilibrium current, the size of the device, the minority concentration and the phenomenological damping are investigated. The resonant surfaces coincide with the magnetic surfaces as in the AWRF. The poloidal extension of the resonance is small in cases where a WKB approach is permitted so that there is no conflict between full wave solutions and the WKB method.

日本語訳

MHD波の理論における最近の発展を、アルヴェン波およびイオンサイクロトロン周波数帯域(AWRF、ICRF)における高周波加熱との関連で概説する。本解説は、有界で一般に非一様なプラズマにおける全波解と振動スペクトルの議論に焦点を当てる。電流を伴うトーラスにおける強制ICRF振動に関する独自の結果を示す。平衡電流、装置サイズ、少数成分濃度が波動構造に及ぼす影響を調べる。共鳴面はAWRFの場合と同様に磁気面と一致する。WKB近似が許容される場合、共鳴のポロイダル方向の広がりは小さく、全波解とWKB法の間に矛盾は生じない。

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Magnetohydrodynamics
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