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Use of the multidimensional WKB method to describe propagation of lower hybrid waves in tokamak plasma

G.V. Pereverzev1992年被引用 47Nuclear FusionIF 3出版社

The influence of diffraction on the propagation of lower hybrid (LH) waves in tokamak plasma was studied. This effect has not been investigated before owing to a lack of suitable methods for solving the wave equation. An asymptotic method is developed which, while using a quasi-classical description in the direction of the group velocity, retains a wave description perpendicular to that direction. This method reduces the general wave equation to a system of ordinary differential equations. It is shown that allowance for the wave properties results in significant diffractional blurring of LH wave beams. This effect occurs in both configurational space and spectral space. In the first, it causes broadening of the absorbed power profile. In the second, it enriches the spectrum with slow waves, increasing interaction with electrons. The effect of diffraction is greater than the effects of the geometrical optics usually taken into account

日本語訳

トカマクプラズマにおける低混成(LH)波の伝播に対する回折の影響を研究した。この効果は、波動方程式を解く適切な方法がなかったため、これまで調査されていなかった。漸近法が開発され、これは群速度方向には準古典的記述を用いながら、その垂直方向には波動的記述を保持するものである。この方法は、一般的な波動方程式を常微分方程式系に帰着させる。波動特性を考慮すると、LH波ビームの顕著な回折的広がりが生じることが示された。この効果は、配置空間とスペクトル空間の両方で発生する。前者では、吸収パワープロファイルの広がりを引き起こす。後者では、スペクトルを遅い波で豊かにし、電子との相互作用を増大させる。回折の効果は、通常考慮される幾何光学の効果よりも大きい。

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