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To merge the beam from either of the two injectors to the main linac, adog-leg system will be employed in the second Medium Energy Beam Transport(MEBT2) line of the China ADS driving accelerator. The achromatic condition hasto be guaranteed to avoid beam center excursion against energy jitter. RFcavities were found indispensable to control the bunch length growth in thedog-leg system of MEBT2. The full uncoupling between transverse andlongitudinal plane is desired to minimize the growth of projected rmsemittances. The uncoupled achromatic condition of this dogleg system with thepresence of RF bunching cavities will be deduced using the method of transfermatrixes. It is found that to fulfil the uncoupling condition, the distancebetween the bunching cavities is uniquely determined by the maximum energy gainof the RF cavities. The theoretical analysis is verified by the simulation codeTraceWin. The space charge effect on the uncoupled achromatic condition and thebeam emittance growth will also be discussed.

Uncoupled achromatic condition of a dog-leg system with the presence of RF cavities