Integro-Differential Analysis of Wave Propagation in an Inhomogeneous High-Temperature Plasma

为了描述非均匀等离子体中的波粒相互作用，如非磁化等离子体中的共振吸收、沿磁场方向具有沿着不均匀性的等离子体中的回旋吸收等。在有限Larmor半径效应的基础上，我们建立了波的传播和吸收的积分微分分析，并编制了数值程序，将波动方程作为边值问题求解。对非磁化等离子体共振吸收的分析首次表明，由朗道阻尼吸收的功率和总的吸收功率的空间分布与以前的微分分析，包括碰撞分析，是一致的在一维模型中研究了沿着非均匀磁场的回旋吸收。本文计算了电子回旋共振加热的吸收功率和模式转换率的空间分布，并将高能粒子存在下等离子体中波的传播用积分-微分形式表示。除了与波长相比较大的拉莫尔半径的影响外，还包括高次谐波回旋吸收。该数值程序已成功地应用于离子回旋共振加热的分析，即使在一个强各向异性的高能量尾部的共振离子。还计算了反应堆级等离子体中聚变反应产生的4 MeV粒子的吸收，并考察了加热和电流驱动的最佳频率范围。

In order to rescribe wave-particle interactions in an inbhomogeneous plasma, such as the resonance absorption in an unmagnetized plasma, the cyclotron absorption in a plasm with an inhomogeneity along the magnetic field. the finite larmor radius effects, we have formulated the integro differential analyses of wave propagation and absorption and developed numerical codes for solving the wave equation as a boundary-value problem.The analysis of the resonance absorption in an unmagentized plasma has shown, for the first time, the spatial profile of the power absorbed by landau damping and the total absorbed power agrees with previous differential analyses including collisional absorption.The cyclotron absorption along the inhomogeneous magnetic field has been studied in a one-dimensional model. The spatial profile of the absorbed power and the mode conversion rate have been calucated for the electron cyclotron resonance heating.The wave propagation in a plasma in the presence of high energy particles has been formulated in an integro-differential form. In addition to the effects of large larmor radius compared with the wave length, the higher-harmonic cycoltron absorption has been also included. The numerical code has been successfully applied to the analysis of the ion cyclotron resonance heating even in the presence of an strongly anisotropic high energy tail of resonant ions. the absorption by the 4 MeV -particles produced by fusion reactions has been also calculate for a rector-grade plasma and the optimum frequecy range the heating and current drive has been examined.