The 5th order nonlinear resonance was studied at SRRC's electron storage ring, which has working tunes around ν x = 7.23 and ν y = 4.17. This resonance is interesting due to the possible systematic errors from its 6-fold symmetry lattice design. In order to understand the dynamics of resonance and effects of betatron decoherence and linear coupling, experiments have been performed using the 2-BPM turn-by-turn method and phase space maps to study its phenomena. The experimental results are presented.
INTROCUCTIONNonlinear beam dynamics experiments have been performed at many accelerator facilities for various resonance phenomena at different resonance conditions [1,2,3,4]. The sextupoles, octupoles and higher order multipoles in the accelerator can produce the non-linear effects that perturb the beam orbit and give the phase space significantly different from that with linear lattice elements. When the betatron tune is near a resonance condition, Pν x + Qν y = O, where P, Q, O are integers, its Poincaré map shows deviation from a simple ellipse.The Taiwan Light Source (TLS) electron storage ring of SRRC is a 3rd generation synchrotron radiation source providing low emittance electron beam. It requires strong transverse focusing and defocusing quadrupoles and strong chromaticity correcting sextupoles to achieve a good performance. A series of studies on the nonlinear resonance [5] have been conducted recently to understand its effects. The TLS is a storage ring having a superperiodicity of 6. It operates routinely with transverse betatron tunes at around ν x = 7.23 and ν y = 4.17. At the one dimensional nonlinear resonance, mν x = O. The 5th order resonance with m = 5 and ν x = 7.2 gives O =36. It is just a multiple of the superperiodicity. In this experiment, the effects of sextupoles and the decapole in the dipole magnet on the 5th order systematic resonance is studied.