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

  • 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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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

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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