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In the fourth-generation storage ring light sources (4GLSs), associated withthe extremely strong nonlinearities inherent in the multi-bend achromat design,the dynamic acceptance is usually small and it is difficult to implementtraditional off-axis local-bump injection. To release the requirement ondynamic acceptance, on-axis longitudinal injection schemes have been explored.In this paper, we present a multi-objective optimization of longitudinalinjection with a multi-frequency RF system, based on the parameters of theSouthern Advanced Photon Source, a 4GLS proposed in China. We show that bytreating the optimal bunch lengthening condition as an optimizing objectiverather than a condition that must be satisfied, a plethora of feasiblecandidate solutions can be found, showing different trade-offs amongmulti-objectives. From these candidate solutions, one can find an optimal RFparameter setting that is most adapted to a specific 4GLS physics design andthe available technical level of injection kicker. Especially, it would befeasible to realize longitudinal injection within a static bucket enabled by adouble-frequency RF system, suggesting an attractive longitudinal injectionoption for 4GLSs.

Multi-objective optimization of longitudinal injection based on a multi-frequency RF system for fourth-generation storage ring-based light sources