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We introduce a new application of measuring symplectic generators tocharacterize and control the linear betatron coupling in storage rings. Fromsynchronized and consecutive BPM (Beam Position Monitor) turn-by-turn (TbT)readings, symplectic Lie generators describing the coupled linear dynamics areextracted. Four plane-crossing terms in the generators directly characterizethe coupling between the horizontal and the vertical planes. Coupling controlcan be accomplished by utilizing the dependency of these plane-crossing termson skew quadrupoles. The method has been successfully demonstrated to reducethe vertical effective emittance down to the diffraction limit in the newlyconstructed National Synchrotron Light Source II (NSLS-II) storage ring. Thismethod can be automatized to realize linear coupling feedback control withnegligible disturbance on machine operation.

Characterization and control of linear coupling using turn-by-turn beam position monitor data in storage rings