Siqi Shen, Shunqiang Tian, Qinglei Zhang, Xu Wu, Zhentang Zhao. Nonlinear optimization for longitudinal beam injection in diffraction-limited synchrotron light sources[J]. High Power Laser and Particle Beams, 2019, 31(12): 125101

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- High Power Laser and Particle Beams
- Vol. 31, Issue 12, 125101 (2019)

Fig. 1. Longitudinal beam injection shown in the synchrotron phase space

Fig. 2. The beam optics in one fold of the SSRF-U storage ring

Fig. 3. The available energy acceptance as a function of the amplitude of the tune variation with momentum

Fig. 4. The maximum distance of the fully injected beam to the stored beam as a function of the RF frequency

Fig. 5. Fractional tunes as functions of momentum deviation (top) and on- and off-momentum DAs (bottom)

Fig. 6. Injection efficiency as a function of the center position of the injected beam in the synchrotron phase space (shown as contour maps)
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Table 1. The lattice parameters of the SSRF-U storage ring

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