优化的准对称仿星器与Garren-Boozer结构一致
Optimized quasisymmetric stellarators are consistent with the Garren-Boozer construction
摘要:
迄今为止,大多数准对称仿星器都是通过数值优化等离子体边界形状来设计的,以最大限度地减少磁场强度$B$的破环傅立叶模式。在高纵横比时,更快的方法是从Garren和Boozer [PhysFluids B 3,2805(1991)]导出的磁轴附近的准对称方程直接构造等离子体形状。在这里,我们表明,许多基于优化的配置的核心形状和旋转变换可以准确地描述这种直接建设的方法。这种一致性支持使用近轴结构作为现代仿星器配置的精确分析模型。
英文摘要:
Most quasisymmetric stellarators to date have been designed by numerically optimizing the plasma boundary shape to minimize symmetry-breaking Fourier modes of the magnetic field strength $B$. At high aspect ratio, a faster approach is to directly construct the plasma shape from the equations of quasisymmetry near the magnetic axis derived by Garren and Boozer [Phys Fluids B 3, 2805 (1991)]. Here we show that the core shape and rotational transform of many optimization-based configurations can be accurately described by this direct-construction approach. This consistency supports use of the near-axis construction as an accurate analytical model for modern stellarator configurations.
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