对称和近对称晶格在同步加速器上的闭合轨道修正
Closed orbit correction at synchrotrons for symmetric and near-symmetric lattices
摘要：
这一贡献汇编的好处晶格对称性的背景下，封闭的轨道校正。BPM和校正器的对称布置导致循环或块循环类型的结构化轨道响应矩阵。这些形式的矩阵在计算复杂性、信息压缩和BPM和校正器的数学向量空间的解释方面提供了有利的性质。对于对称性破缺，引入了一个最近循环近似，并在FAIR同步加速器的背景下，模拟和实验的帮助下，证明了利用对称性的实际优势。
英文摘要：
This contribution compiles the benefits of lattice symmetry in the context of closed orbit correction. A symmetric arrangement of BPMs and correctors results in structured orbit response matrices of Circulant or block Circulant type. These forms of matrices provide favorable properties in terms of computational complexity, information compression and interpretation of mathematical vector spaces of BPMs and correctors. For broken symmetries, a nearest-Circulant approximation is introduced and the practical advantages of symmetry exploitation are demonstrated with the help of simulations and experiments in the context of FAIR synchrotrons.
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