Matrix method for the solution of RF field perturbations due to local frequency shifts
To tune the accelerating field to the design value in a periodical radio frequency accelerating structure, Slater's perturbation theorem is commonly used. This theorem solves a second-order differential equation to obtain the electrical field variation due to a local frequency shift. The solution becomes very difficult for a complex distribution of the local frequency shifts. Noticing the similarity between the field perturbation equation and the equation describing the transverse motion of a particle in a quadrupole channel, we propose in this paper a new method in which the transfer matrix method is applied to the field calculation instead of directly solving the differential equation. The advantage of the matrix method is illustrated in examples.
作 者： SUN Zhi-Rui PENG Jun FU Shi-Nian 作者单位： Institute of High Energy Physics, CAS, Beijing 100049, China 刊 名： 中国物理C（英文版） ISTIC 英文刊名： CHINESE PHYSICS C 年，卷(期)： 2009 33(9) 分类号： O4 关键词： electrical field perturbation frequency shift transfer matrix