Tune调制对HIRFL-CSRm动力学孔径影响的模拟研究
Effect of tune modulation on the dynamic aperture of HIRFL-CSRm
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摘要: 通过引进包含tune调制的传输矩阵，模拟计算了由四极铁电源纹波所引起的tune调制对HIRFL-CSRm动力学孔径的影响。模拟计算中，对HIRFL-CSRm实际(lattice)跟踪1.0×106圈。从结果可以看出，动力学孔径随调制振幅的增大迅速减小，大体呈线性变化；动力学孔径随调制tune值的变化在研究范围内也有变化，变化的范围在0.049~0.089 m之间。Abstract: The tune modulation due to power supply ripple of magnets has a strong destabilizing effects on non-linear motion. In order to investigate this effect on the dynamic aperture of HIRFL-CSRm, a tracking study was done. The impacts of quadrupole power supply ripple were modelled by modulating the linear Betatron oscillation tunes and the dynamic aperture was calculated through tracking particle one million turns in HIRFL-CSRm lattice. It turned out that the dynamic aperture decreased roughly linearly with the amplitude of the tune modulation. The dependence of the dynamic aperture on the frequency of the modulation was also studied, but it was relatively weak.
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Key words:
- tune modulation /
- transport matrix /
- dynamic aperture
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