标题： 准对称托卡马克的剪切阿尔芬连续谱 显示英文标题

标题： The shear Alfvén continuum of quasisymmetric stellarators

摘要： 剪切阿尔芬波（SAW）连续谱在能量粒子驱动的阿尔芬本征模的稳定性中起着关键作用。我们开发了一个理论框架，以分析三维准对称磁场中的SAW连续谱，重点在于其对星环器设计的影响。通过采用近轴模型和退化微扰理论，求解了连续谱方程，突出了三维配置中的独特特征，例如光谱间隙之间的相互作用。数值示例验证了该理论，展示了通量面形状和准对称场特性对连续谱结构的影响。结果提供了优化星环器配置以最小化能量粒子共振损耗的见解。这项工作为将阿尔芬稳定性考虑纳入星环器设计过程奠定了基础，通过优化准螺旋配置以避免高频光谱间隙进行了演示。 显示英文摘要

摘要： The shear Alfv\'en wave (SAW) continuum plays a critical role in the stability of energetic particle-driven Alfv\'{e}n eigenmodes. We develop a theoretical framework to analyze the SAW continuum in three-dimensional quasisymmetric magnetic fields, focusing on its implications for stellarator design. By employing a near-axis model and degenerate perturbation theory, the continuum equation is solved, highlighting unique features in 3D configurations, such as the interactions between spectral gaps. Numerical examples validate the theory, demonstrating the impact of flux surface shaping and quasisymmetric field properties on continuum structure. The results provide insights into optimizing stellarator configurations to minimize resonance-driven losses of energetic particles. This work establishes a basis for incorporating Alfv\'enic stability considerations into the stellarator design process, demonstrated through optimization of a quasihelical configuration to avoid high-frequency spectral gaps.