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，例如未磁化等离子体中的共振吸收，以及沿磁场非均匀的等离子体中的回旋吸收。在有限半径效应下，我们制定了波的传播和吸收的积分微分分析，并开发了将波动方程作为边值问题求解的数值代码。对非磁化等离子体共振吸收的分析首次表明，朗道阻尼吸收功率和总吸收功率的空间分布与以往包括碰撞吸收在内的微分分析一致。在一维模型下研究了回旋加速器沿非均匀磁场的吸收。计算了电子回旋共振加热的吸收功率和模式转化率的空间分布。高能粒子存在下等离子体中的波传播以积分-微分形式表述。除了比波长大的辐射半径的影响外，高次谐波回旋吸收也被考虑在内。该数值程序已成功地应用于离子回旋共振加热的分析，即使存在强各向异性的共振离子高能尾。计算了4兆电子伏特等离子体的吸收，并对加热和电流驱动的最佳频率范围进行了研究。

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.