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Fundamental harmonic electron cyclotron emission for hot, loss-cone type distributions

M Bornatici, U Ruffina, E Westerhof1989年Plasma Physics and Controlled FusionIF 2.2出版社

The emissivity of the perpendicular extraordinary mode around the fundamental electron cyclotron resonance is investigated for loss-cone type distribution functions having high average kinetic energy. Both a Dory-Guest-Harris (DGH) type distribution and a loss-cone (LC) distribution with rounded edges are considered. The emissivity is calculated both using the usual equation for the emissivity and (in the case of the DGH distribution) using a modified Kirchhoff's Law. The results are presented in terms of an appropriately normalized emissivity and show a remarkable feature, namely, sharp peaks in the emissivity are found for frequencies and plasma parameters for which either a cut-off or a resonance occurs. This result is explained by the fact that the (normalized) emissivity is inversely proportional to the energy flux (normalized to the square of the electric field of the waves) in the direction of the wave vector, such a normalized energy flux going to zero both at a cut-off and at a resonance. No qualitative differences are found for the two types of distribution functions.

日本語訳

垂直方向の異常モードの基本電子サイクロトロン共鳴付近における放射率を、高い平均運動エネルギーを持つロスコーン型分布関数に対して調べた。Dory-Guest-Harris (DGH) 型分布と、端が丸められたロスコーン (LC) 分布の両方を考慮した。放射率は、通常の放射率の式を用いて計算され、さらにDGH分布の場合には修正キルヒホッフの法則を用いても計算された。結果は適切に規格化された放射率として示され、顕著な特徴として、遮断または共鳴が生じる周波数およびプラズマパラメータにおいて鋭いピークが見られた。この結果は、規格化された放射率が、波数ベクトルの方向のエネルギー流束(波の電場の二乗で規格化された)に反比例することによって説明される。そのような規格化されたエネルギー流束は、遮断と共鳴の両方でゼロになる。2種類の分布関数の間には定性的な差異は見られなかった。

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Electron cyclotron emission
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