Nam, K.M.; Hwang, J.-G.; Yoon, Y. D.; Parc, Y.W.: Revised Hamiltonian near third-integer resonance and implications for an electron storage ring. Physical Review Accelerators and Beams 27 (2024), p. 44001/1-20
10.1103/physrevaccelbeams.27.044001
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Abstract:
In electron storage rings, an accurate description of particle dynamics near third-integer resonance is crucial for various applications. The conventional approach is to extrapolate far-resonance dynamics to near resonance, but the difficulty arises because the nonlinear detuning parameter diverges at this critical point. Here we derive, via a suitable application of the canonical perturbation theory, a revised detuning parameter that is well behaved near resonance. The resultant theory accurately describes the morphology of resonance islands for a wide range of parameter space and facilitates its optimization.