Application of Hilbert-Transform-Phase-Space-Reconstruction in HLS Bunch-by-Bunch System

  • In this paper, we introduce the phase space reconstruction method based on Hilbert transform to comprehensively analyse the Bunch-by-bunch measurement record. The analyzing results include one beam position monitor (BPM) phase space reconstruction, bunch oscillation's phase information, mode diagnosing, tune evolvement regressed from phase space and the damping rate of the mode and bunch oscillation. The new method to calculate the tune evolvement exhibits a very high resolution both in time domain and frequency domain without any time domain average. The exponential fit to the mode and bunch oscillation damping curve are also exhibited in this paper.
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  • [1] . WANG Jun-Hua, LIU J H, ZHENG K et al. HPL PB,2006, 18(2): 291-297 (in Chinese)(王筠华,刘建宏,邓凯等,强激光与粒子束。 2006, 18(2):291-297)2. ZHENG Kai, WANG J H, LIU J H et al. HEP NP, 2006,30(6): 1-5 (in Chinese)(邓凯,王筠华,刘建宏等高能物理与核物理, 2006, 30(6):1-5)3. XU Shou-Shi. Signal and System. Hefei: the University of Science and Technology Press, 1999. 301-303(in Chinese)(徐守时,信号与系统:理论方法和应用,合肥:中国科学技术大学出版社, 1999. 301-303)4. Prabhakar S et al. Phase Space Tracking of Coupled-Bunch Instabilities. Physical Review Special Topics- Accelerators and Beams, 1999, 2: 0844115. LIU Jian-Hong. The Development of Beam Detect System and the Reasearch of Instability in HLS Thesis for Doctor Degree. University of Science and Technology of China (in Chinese)(刘建宏,HLS测量系统研制及不稳定性初步研究。博士论文,中国科学技术大学)
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ZHENG Kai, WANG Jun-Hua, LIU Zu-Ping, LI Wei-Min, SUN Bao-Gen, LIU Jian-Hong, YANG Yong-Liang, ZHOU Ze-Ran, CHEN Yuan-Bo and HUANG Long-Jun. Application of Hilbert-Transform-Phase-Space-Reconstruction in HLS Bunch-by-Bunch System[J]. Chinese Physics C, 2007, 31(3): 307-310.
ZHENG Kai, WANG Jun-Hua, LIU Zu-Ping, LI Wei-Min, SUN Bao-Gen, LIU Jian-Hong, YANG Yong-Liang, ZHOU Ze-Ran, CHEN Yuan-Bo and HUANG Long-Jun. Application of Hilbert-Transform-Phase-Space-Reconstruction in HLS Bunch-by-Bunch System[J]. Chinese Physics C, 2007, 31(3): 307-310. shu
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Received: 2006-06-02
Revised: 2006-07-05
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Application of Hilbert-Transform-Phase-Space-Reconstruction in HLS Bunch-by-Bunch System

    Corresponding author: WANG Jun-Hua,
  • National Synchrotron Radiation Laboratory, University of Science and Technology of China, Hefei 230029, China

Abstract: In this paper, we introduce the phase space reconstruction method based on Hilbert transform to comprehensively analyse the Bunch-by-bunch measurement record. The analyzing results include one beam position monitor (BPM) phase space reconstruction, bunch oscillation's phase information, mode diagnosing, tune evolvement regressed from phase space and the damping rate of the mode and bunch oscillation. The new method to calculate the tune evolvement exhibits a very high resolution both in time domain and frequency domain without any time domain average. The exponential fit to the mode and bunch oscillation damping curve are also exhibited in this paper.

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