The Simulation Of The Impact On Beam Halo-Chaos Control's Effect Due To The Change Of Filling Factor Under The Logarithm-Function Controller

The essence of dynamical equations of high-intensity ion beams and theirs properties, the halo-chaos control methods, and the disciplinarian of halo-chaos after control are summarized in this paper. Based on those, the impact on beam halo-chaos control's effect due to the change of filling factor for K-V distribution was studied under the logarithm-function controller by selecting ion numbers ratio as controlling variable and selecting root-mean-square radius as controlling variable, and was compared with the result of delayed feedback controller by selecting root-mean-square radius as controlling variable. The simulative results show that the beam halo-chaos control's effect clearly relates to the selecting of control method and also relates to the control information.High intensity ion beam is applied diffusely. The research of beam halo-chaos control method and the disciplinarian after control are noticed increasingly. In recent years, people have obtained many research findings in these aspects since Researcher Fang Jin-Qing in China Institute of Atomic Energy brought forward nonlinear control strategy to control beam halo-chaos. For example, the author studied the filling factor impact on the control effect under the delayed feedback controller in ref.[36,37], but this research selects root-mean-square radius as controlling variable, which is very difficult measure, and the result is not convenient for application. The author selects ion numbers ratio as controlling variable which may be operational in experiment, and also has obtained good effect on the beam halo-chaos in ref.[34]. But what impact on the beam halo-chaos control's effect due to the change of filling factor under the logarithm-function controller by selecting ion numbers ratio as controlling variable, and what relation between the control's effect and the control information, and so on, they are not any literatures and report about this research at the present time. We mainly study the following two aspects by using Particle-In-Cell simulations procedure in this paper.â‘´The impact on the beam halo-chaos control's effect due to the change of filling factor for K-V distribution was studied under the logarithm-function controller by selecting ion numbers ratio as controlling variable when the zero-current phase advance and tune depression factor are...