Closed orbit correction at synchrotrons for symmetric and near-symmetric lattices
@article{Mirza2019ClosedOC, title={Closed orbit correction at synchrotrons for symmetric and near-symmetric lattices}, author={Sajjad Hussain Mirza and Rahul Kumar Singh and P Forck and Harald Klingbeil}, journal={Physical Review Accelerators and Beams}, year={2019} }
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…
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