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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HIR-FL-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0.049~0.089m之间。
The effect of tune modulation due to quadrupole power supply ripple on the dynamic aperture of HIR-FL-CSRm is simulated by introducing a transfer matrix with tune modulation. In the simulation calculations, the HIRFL-CSRm was tracked for 1.0 × 106 turns. From the results, it can be seen that the dynamic aperture decreases rapidly with the increase of the modulation amplitude and changes roughly linearly. The variation of the dynamic aperture with the modulation of the tune value also varies within the range of the study, ranging from 0.049 to 0.089 m .