Matched and equipartitioned design method for modern high-intensity radio frequency quadrupole accelerators

A new design method—Matched and equipartitioned (EP) design method—has been proposed for radio frequency quadrupole (RFQ) dynamics design, on the considerations of preventing emittance growth and halo formation in high-intensity linacs by means of keeping beam envelope matched and energy balance within the beam, as well as avoiding structure resonances [R.A. Jameson, IEEE Trans. Nucl. Sci. NS-28 (1981) 2408; R.A. Jameson et al., Scaling and optimization in high-intensity linear accelerators, LA-CP-91-272, Los Alamos National Laboratory, July 1991 (introduction of LINACS design code); R.A. Jameson, AIP Conf. Proc. 279 (1992) 969; R.A. Jameson, An approach to fundamental study of beam loss minimization, in: Y.K. Batygin (Ed.), AIP Conference Proceedings, vol. 480, Space Charge Dominated Beam Physics for Heavy Ion Fusion, Saitama, Japan, December 1998]. As there are more than three parameters for a linear accelerator, but only three equations (two envelope equations and an EP equation) are available to design the structural parameters of the RFQ accelerator around the beam, therefore the others have to be determined by additional rules. Following these equations and rules, a new RFQ design code named MATCHDESIGN has been written at Peking University. Three example designs are generated by this code and their simulation results have been compared with a conventional RFQ, which had proved the feasibilities and merits of the new method.