Theoretical Study on Proton-Boron Fusion Reactor with LHD-Type Magnetic Field Configuration

研究结果总结如下：1.聚变堆ICRF加热采用远程天线结构是理想的。数值计算表明，在LHD构型中，质子在最外磁面附近共振加速可以加热堆芯等离子体，同时也显示了远距离天线构型的可能性。2.平衡分析：假定高β等离子体支持质子-硼聚变反应堆中的燃烧反应。结果表明，任何磁场都可以用矢势的两个分量来描述，因此，如果把矢势和压强这两个分量作为未知函数，我们就可以构造和求解描述等离子体平衡的方程。在此基础上，我们构造了一种分析磁面被外混沌场线区域包围的LHD磁组态的平衡位形的方法。通过对真空磁…的数值计算，验证了该方法的有效性稳定性分析：在LHD构型中，混沌场线区域存在于最外磁场表面之外。在混沌场线区域立即中和电荷分离，并将混沌场线外的场线短距离固定在真空室墙上。我们指出，这种混沌场线区域有助于LHD等离子体的稳定维持，我们预测在LHD磁场中稳定的高β等离子体的维持是可能的。4.质子-硼聚变的点火条件分析：从ICRF加热的分析中，包括LHD磁场中电子阻力的影响，表明在本LHD中产生能量超过600keV的质子是可能的，这与质子-B聚变反应有关。我们指出，由于ICRF加热，质子分布函数形成准线性平台分布，由该分布计算的聚变反应率表明，满足质子-硼聚变的点火条件是可能的。5.为电磁波传播研究建立了考虑波粒共振影响的麦克斯韦方程数值计算新方法，并验证了这些方法的有效性。较少

Results of research are summarized as follows :1.Remoteness antenna configuration is desirable to use ICRF heating in a fusion reactor. It is shown numerically that protons resonantly accelerated near the most outer magnetic surface in the LHD configuration can heat core plasma, and also the possibility of remoteness antenna configuration is shown.2.Equilibrium analysis : High-beta plasma is presumed to sustain burning reaction in a proton-boron fusion reactor. It is shown that any magnetic field is described by two components of vector potential, and thus we can construct and solve equations describing plasma equilibrium if we consider these two components of vector potential and pressure as unknown functions. By using this, we have constructed a method to analyze the equilibrium configuration of the LHD magnetic configuration with magnetic surface surrounded by outer chaotic field line region. The validity of this method is shown from the numerical calculation for the vacuum magnetic … More surface of the LHD.3.Stability analysis : Chaotic field line region exists out of the most outer magnetic surface in the LHD configuration. Charge separation is neutralized immediately in the chaotic field line region, and field line out of chaotic field line is fixed in a short distance on a vacuum chamber wall. We point that this chaotic field line region contributes the stable sustainment of LHD plasma, and we predict that the sustainment of stable high-beta plasma is possible in the LHD magnetic field.4.Ignition condition analysis for proton-boron fusion : From the analysis of ICRF heating including the effect of electron drag in the LHD magnetic field, it is shown that the production of protons with the energy exceeding 600keV, which is concerned with proton-boron fusion reaction, is possible in the present LHD. We point that the proton distribution function forms a quasi-linear plateau distribution due to ICRF heating, and from the calculation of the fusion reaction rate with this distribution it is shown that the satisfaction of the ignition condition for proton-boron fusion is possible.5.New methods for numerically computing Maxwell equations including the effects of wave-particle resonances are established for electromagnetic wave propagation study, and the validity of these methods is confirmed. Less