Coupling effect of solenoid in CSRm

The principle of particle coupling between horizontal and vertical directions in solenoid is presented. Further more, the method of decoupling can be obtained by using the coupling dynamic equations. 5000 particles are tracked under three conditions: CSRm doesn't contain solenoids, contains main solenoid and toroids, contains compensating solenoids. The results of the particle trace calculations show that the particles coupling between horizontal and vertical is very serious because of the existence of solenoids, and lot's of particals are lost. Another two solenoids which locate in the fit place can be used to decrease the coupling intensation. The method is proved to be useful by the trace calculations.