Alternate phase focusing in sequence of independent phased resonators as superconducting linac boosters

S. Dechoudhury; Alok Chakrabarti

doi:10.1103/PhysRevSTAB.16.052001

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Alternate phase focusing in sequence of independent phased resonators as superconducting linac boosters

S. Dechoudhury, Alok Chakrabarti

DOI 10.1103/PhysRevSTAB.16.052001 · Physical Review Special Topics - Accelerators and Beams

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Abstract

Theoretical study of an alternate phase focusing (APF) structure, realized in a long chain of double gap quarter wave resonators, capable of accelerating heavy ions from 1.3 to 7 MeV/u has been carried out. Mathieu-Hill stability analysis for the focusing periods consisting of independent resonators with phase variation satisfying square-wave law has been used to evaluate parameters such as the electric field and phase for the resonators. Furthermore, a smooth approximation method taking into account the acceleration in the linac has been employed to find out the rf bucket parameters (energy and phase width acceptance) of the focusing periods. Corroborative particle tracking (longitudinal and transverse) has been carried out using simulated 3D fields for double gap quarter wave resonators (QWR). Steering effects in QWRs over the period have also been studied. In one APF period, the individual phase of resonators changes sign resulting in a vertical steering kick in a particular direction, which is less as compared to the case where all the individual resonators operate in the same phase.