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Chinese Physics C> 2001, Vol. 25> Issue(5) : 455-460 

Numerical Calculation on Coherent Synchrotron Radiation Intensity Due to Inter-Bunch Interference in the Bunch Train

  •  Institute of High Energy Physics,CAS Beijing 100080 China

  • A novel model for the inter-bunch interference in a bunch train is presented where a train of electron bunches passing through a bending or undulator magnetic field is considered as a moving multi slit diffraction array from which multi beams of coherent radiation emitted with definite phase difference. Based on this model,interference among multi-beams of coherent synchrotron radiation emitted from consecutive bunches accelerated by a 30 MeV RF-Linac at BFEL is analyzed and numerically calculated. From the discussions it is shown that: 1. Rapidly oscillating radiation enhancement due to inter-bunch interference is overlapped on the single bunch power spectrum;2. Such radiation enhancement consists of series of spectrum lines corresponding to harmonics of the fundamental of RF-Linac;3. Main maximum positions are determined by the “diffraction condition”;4. Intensity enhancement is about as high as the number of bunches in a macropulse;5. The axially measured radiation frequency is lower than the offaxis one. Experimental design to measure interference from separate bunches at the BFEL Linac with the developed mm-wave Michelson interferometer is presented.
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    [1] Wingham D J.Phys.Rev.,1987,D35(8):2584—25942 Shibata Y,Takahashi T,Ishi K et al.Phys.Rev.,1991,A44(6):R3445—R3448;Giovenale MINA,1995,E358:78—813 Ciccio F,Bartolini R,Doria A et al.Phys.Rev.Lett.,1993,70(7):928—9314 Yong U k Jeong,Kawamura Y,Toyoda K et al.Phys.Rev.Lett.,1992,68(8):1140—11435 DING Wu.High Power Laser and Particle Beams,1994,8(2):193(in Chinese)(丁武.强激光与粒子束,1996,8(2):193)6 Doria A,Gallerano G P,Giiovenale E.Phys.Rev.Lett.,1998,80(13):2841—28447 Saldin E,Schneidmiller E,Yurkov M.DESY Report No.TELSA-FEL96—148 Braun H,Chautard F,Corsini R.Phys.Rev.Lett.,2000,84(4):658—6619 XIE Jia Lin,ZHUANG Jie Jia,HUANG Yong Zhang.High Energy Phys.and Nucl.Phys.,1994,18(6):572(in Chinese)(谢家麟,庄杰隹,黄永章等.高能物理与核物理,1994,18(6):572)10 XIE Jia Lin,ZHUANG Jie Jia,HUANG Yong Zhang.High Energy Phys.and Nucl.Phys.,1994,18(8):763(in Chinese)(谢家麟,庄杰隹,黄永章等.高能物理与核物理,1994,18(8):763)11 ZHU Jun Biao,LI Yong Gui,XIE Jia Lin.High Energy Phys.and Nucl.Phys.,2000,24(2):172(in Chinese)(朱俊彪,李永贵,谢家麟.高能物理与核物理,2000,24(2):172)

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ZHU Jun-Biao, ZHANG Guo-Qing, LI Yong-Gui and XIE Jia-Lin. Numerical Calculation on Coherent Synchrotron Radiation Intensity Due to Inter-Bunch Interference in the Bunch Train[J]. Chinese Physics C, 2001, 25(5): 455-460.
ZHU Jun-Biao, ZHANG Guo-Qing, LI Yong-Gui and XIE Jia-Lin. Numerical Calculation on Coherent Synchrotron Radiation Intensity Due to Inter-Bunch Interference in the Bunch Train[J]. Chinese Physics C, 2001, 25(5): 455-460. shu
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Received: 2000-04-21
Revised: 1900-01-01
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Numerical Calculation on Coherent Synchrotron Radiation Intensity Due to Inter-Bunch Interference in the Bunch Train

    Corresponding author: ZHU Jun-Biao,
  • Institute of High Energy Physics,CAS Beijing 100080 China
  • Received Date: 2000-04-21
  • Accepted Date: 1900-01-01
  • Available Online: 2001-05-05

Abstract: A novel model for the inter-bunch interference in a bunch train is presented where a train of electron bunches passing through a bending or undulator magnetic field is considered as a moving multi slit diffraction array from which multi beams of coherent radiation emitted with definite phase difference. Based on this model,interference among multi-beams of coherent synchrotron radiation emitted from consecutive bunches accelerated by a 30 MeV RF-Linac at BFEL is analyzed and numerically calculated. From the discussions it is shown that: 1. Rapidly oscillating radiation enhancement due to inter-bunch interference is overlapped on the single bunch power spectrum;2. Such radiation enhancement consists of series of spectrum lines corresponding to harmonics of the fundamental of RF-Linac;3. Main maximum positions are determined by the “diffraction condition”;4. Intensity enhancement is about as high as the number of bunches in a macropulse;5. The axially measured radiation frequency is lower than the offaxis one. Experimental design to measure interference from separate bunches at the BFEL Linac with the developed mm-wave Michelson interferometer is presented.

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