Open AccessResearch of Kramers-Krnig relationship for reconstruction of ultrashort electron longitudinal bunch profile by means of frequency domain measurements
Author(s) -
Wei Dai,
Wenxin Liu,
Chuanxiang Tang,
Ming Li
Publication year - 2011
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.60.082901
Subject(s) - extrapolation , cutoff , physics , autocorrelation , optics , frequency domain , computational physics , beam (structure) , power (physics) , radiation , cutoff frequency , acceleration , statistics , mathematics , mathematical analysis , classical mechanics , quantum mechanics
Kramers-Krnig (K-K) relationship is widely used in diagnostics of longitudinal bunch distribution with frequency domain measurement, and it has been used as a powerful tool in analysis of bunch profile and length. The study results show that the bunching beam parameters are severely affected by the choosing of the baseline of autocorrelation curve, power loss at low frequency and cutoff at high frequency, as well as extrapolation point, etc. As an example, the longitudinal bunching length is measured by means of coherent transition radiation in accelerator laboratory of Tsinghua University. We analyze the influence of the choice of parameters on measured experiment results and discuss the method of choosing the key parameters for the K-K transform.