A full wave description of the accessibility of the lower‐hybrid resonance to the slow wave in tokamaks
A full wave description of the accessibility of the lower‐hybrid resonance to the slow wave in tokamaks
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DOI：
10.1063/1.865804
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发表时间：
1986-11
影响因子：
4.6
通讯作者：
A. M. Woods;R. A. Cairns;C. Lashmore-Davies
中科院分区：
文献类型：
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作者：
A. M. Woods;R. A. Cairns;C. Lashmore-Davies
考虑了低混合频率范围内快慢电磁波之间的模式转换。这种现象决定了低杂化共振对慢波的可及性，并且由于模式耦合在某些方面与作者和其他人先前研究的情况不同，因此也引起了理论上的兴趣。在模式转换区域使用二阶近似，得出韦伯方程，然后在各种情况下获得透射系数。在均匀磁场中恢复了具有线性密度分布的等离子体的射线追踪结果。加入磁场梯度的效果是将模式转换区域移动到等离子体边缘。论文的第二部分提供了使用韦伯方程的理由。给出了该问题的四阶常微分方程的精确系统，并对Heading给出的线性变换进行了扩展，得到了二阶常微分方程的二阶常微分方程。
Mode conversion between the fast and slow electromagnetic waves in the lower‐hybrid frequency range is considered. This phenomenon determines the accessibility of the lower‐hybrid resonance to the slow wave, and is also of theoretical interest because the mode coupling differs in certain aspects from cases previously investigated by the authors and others. A second‐order approximation is used in the mode conversion region leading to Weber’s equation from which transmission coefficients are then obtained in various cases. Ray‐tracing results are recovered for a plasma with a linear density profile in a uniform magnetic field. The effect of including a magnetic field gradient is to move the mode conversion region to the plasma edge. The second part of the paper provides justification for the use of Weber’s equation. The exact fourth‐order system of ordinary differential equations for the problem is set down and a linear transformation, which is an extension of that given by Heading, reveals the second‐order...