用半解析法设计双孔cos-theta超导偶极子
Magnetic design of twin aperture cos-theta superconducting dipoles with a semi-analytic approach
摘要：
磁场设计是粒子加速器用超导磁体的一个基本方面。当处理单孔径cos-theta型偶极子时，在第一阶，可以使用基于扇区偶极子近似的分析方法进行设计，然后进行数值优化。对于双孔径偶极子，孔径之间的磁串扰使得这种方法不可行。我们已经开发了一个半解析模型，从一个部门偶极子近似，允许考虑两个孔径之间的串扰。我们还表明，铁轭谐波的贡献，虽然占主导地位，并没有改变最佳配置中发现它的情况下。作为例子，我们展示了两种可能的电磁设计的D2偶极子的高亮度升级的大型强子对撞机。半解析模型可以推广到更大的一类磁铁。
英文摘要：
The magnetic design is a basic aspect of the superconducting magnets for particle accelerators. When dealing with single aperture cos-theta type dipoles, at the first order, the design can be performed with an analytic approach based on a sector dipole approximation followed by a numerical optimization. For double aperture dipoles the magnetic cross-talk between apertures makes this approach unfeasible. We have developed a semi-analytic model, which starting from a sector dipole approximation, allows to consider the cross-talk between the two apertures. We also demonstrate that the iron yoke contribution to harmonics, although dominant, does not change the optimal configuration found in its absence. As examples, we show two possible electromagnetic designs for the D2 dipole of the High Luminosity upgrade of LHC. The semi-analytic model can be generalized to a larger class of magnets.
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