Beam Dynamics in the Radio Frequency Quadrupole

A study of the beam dynamics in the Radio Frequency Quadrupole (RFQ) proposed by Kapchinskii and Taployakov has been carried out. Different schemes to design the RFQ for a better transmission efficiency and lower emittance growth for an ion beam are explored. A three-dimensional particle code which includes the effect of the space charge force has been employed to follow the dynamics of a beam in the RFQ. Our calculations show that the RFQ is able to bunch a DC beam with good efficiency and accelerate it to high energies suitable for the injection into conventional linacs. The transmission efficiency of a beam has been studied as the current or the final energy of the beam increases. A comparison between our calculational results and those from recent experiments at Los Alamos are presented.