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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.
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Keywords:
- Kramers-Krnig relationship /
- frequency domain measurements /
- ultrashort electron bunch /
- coherent transition radiation
[1] Shi J R, Chen H B, Tang C X, Huang W H, Du Y C, Zheng S X, Li R K 2009 Chin. Phys. C 33(S2) 161
[2] Steffen B 2007 Ph. D. Dissertation (Hamburg: University of Hamburg)
[3] [4] [5] Shibata Y, Takahashi T, Kanai T, Ishi K, Ikezawa M, Ohkuma J, Okuda S, Okada T 1994 Phys. Rev. E 50 1479
[6] Xiang D 2008 Ph. D. Dissertation (Beijing: Tsinghua University) (in Chinese) [向 导 2008 博士学位论文 (北 京: 清华大学)]
[7] [8] Blackmore V, Doucas G, Perry C, Ottewell B, Kimmitt M, Woods M, Molloy S, Arnold R 2009 Phys. Rev. Spec. Top. Accel. Beams 12 032803
[9] [10] Lai R, Happek U, Sievers A J 1994 Phys. Rev. E 50 R4294
[11] [12] Liu W X, Wu D, Wang Y X, Tang C X 2010 Nucl. Instrum. Methods Phys. Res. A 614 313
[13] [14] Liu W X, Tang C X, Huang W H 2010 Chin. Phys. B 19 062902
[15] [16] [17] Liu W X 2010 Postdoctoral Research Report (Beijing: Tsinghua University) (in Chinese) [刘文鑫 2010 博士后研究报告 (北 京: 清华大学)]
[18] [19] Casalbuoni S, Schmidt B, Schmser P 2005 Tesla Report 15 (Hamburg: Deutsches Elektronen Synchrotron)
[20] Wang Y X, Wang C L, Zhong W L, Zhao M L, Li J C, Xue X Y 2004 Acta Phys. Sin. 53 214 (in Chinese) [王渊旭、 王春雷、 钟维烈、 赵明磊、 李吉超、 薛旭艳 2004 物理学报 53 214]
[21] -
[1] Shi J R, Chen H B, Tang C X, Huang W H, Du Y C, Zheng S X, Li R K 2009 Chin. Phys. C 33(S2) 161
[2] Steffen B 2007 Ph. D. Dissertation (Hamburg: University of Hamburg)
[3] [4] [5] Shibata Y, Takahashi T, Kanai T, Ishi K, Ikezawa M, Ohkuma J, Okuda S, Okada T 1994 Phys. Rev. E 50 1479
[6] Xiang D 2008 Ph. D. Dissertation (Beijing: Tsinghua University) (in Chinese) [向 导 2008 博士学位论文 (北 京: 清华大学)]
[7] [8] Blackmore V, Doucas G, Perry C, Ottewell B, Kimmitt M, Woods M, Molloy S, Arnold R 2009 Phys. Rev. Spec. Top. Accel. Beams 12 032803
[9] [10] Lai R, Happek U, Sievers A J 1994 Phys. Rev. E 50 R4294
[11] [12] Liu W X, Wu D, Wang Y X, Tang C X 2010 Nucl. Instrum. Methods Phys. Res. A 614 313
[13] [14] Liu W X, Tang C X, Huang W H 2010 Chin. Phys. B 19 062902
[15] [16] [17] Liu W X 2010 Postdoctoral Research Report (Beijing: Tsinghua University) (in Chinese) [刘文鑫 2010 博士后研究报告 (北 京: 清华大学)]
[18] [19] Casalbuoni S, Schmidt B, Schmser P 2005 Tesla Report 15 (Hamburg: Deutsches Elektronen Synchrotron)
[20] Wang Y X, Wang C L, Zhong W L, Zhao M L, Li J C, Xue X Y 2004 Acta Phys. Sin. 53 214 (in Chinese) [王渊旭、 王春雷、 钟维烈、 赵明磊、 李吉超、 薛旭艳 2004 物理学报 53 214]
[21]
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