Global and local horizontal-vertical decoupling

In this paper we investigate systematically the global and local effects of horizontal-vertical couplings on a particle beam and the measurement and control of these couplings. Piecemeal studies have been made on these subjects by different authors. For completeness, their results are integrated in this work wherever appropriate. This brings the understanding and execution of the coupling correction to the same degree of completeness as that of the closed orbit correction.