Study of influences of the first bunching cavity and injection conditions of rf SW linacs on particle transverse motions

For both medical and radiographic standing wave linear accelerators, a small beam spot diameter is always pursued. In order to minimize the size and weight of the machine and reduce the power dissipation, rf focusing is preferred to the focusing solenoid coil. Therefore, it is important to study behaviours of beam transverse motions in the rf fields for the design of SW linacs. The research shows that the transverse motion behaviours of the electron beam in the compact linac is mainly determined by the rf field distribution on the first bunching cavity and injection conditions of the beam. In this paper, a beam envelope equation is presented,the proprties of the Ez, Er, Hθ field distributions of various first bunching cavities of both symmetric and asymmetric are studied, and then the rf electric force and rf magnetic force exerting on the beam with a different injection time are analysed. It is demonstrated that the asymmetric first bunching cavity with a small gradient of Ez(z) field will provide a larger transverse emittance. And an asymmetric cavity with a larger front aperture and a small back aperture is favourable to make a smaller gradient of Ez(z) field. For both symmetric and asymmetric first bunching cavity, by adopting an appropriate negative injection angle the envelopes of the beam are all decreased obviously, the optimum injection angle being always around -3 deg. The measured result of the beam spot of a 4 MeV SW linac shows that the mentioned simulation calculation of the radial dynamics above is in good agreement with the measured result