A comparison of phase between a nonlinear theory and 2D particle in cell simulation in three-cavity klystrons

He Hu; Ge Yi; Yuan Huan; Huang Hua

doi:10.11884/HPLPB202032.200171

Volume 32 Issue 10

Sep. 2020

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He Hu, Ge Yi, Yuan Huan, et al. A comparison of phase between a nonlinear theory and 2D particle in cell simulation in three-cavity klystrons[J]. High Power Laser and Particle Beams, 2020, 32: 103010. doi: 10.11884/HPLPB202032.200171

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He Hu, Ge Yi, Yuan Huan, et al. A comparison of phase between a nonlinear theory and 2D particle in cell simulation in three-cavity klystrons[J]. High Power Laser and Particle Beams, 2020, 32: 103010. doi: 10.11884/HPLPB202032.200171

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A comparison of phase between a nonlinear theory and 2D particle in cell simulation in three-cavity klystrons

doi: 10.11884/HPLPB202032.200171

Science and Technology on High Power Microwave Laboratory, Institute of Applied Electronics, CAEP, P. O. Box 919-1015, Mianyang 621900, China

Received Date: 2020-06-21
Rev Recd Date: 2020-09-05
Publish Date: 2020-09-29

Abstract

Abstract

This paper applies the theory of kinematics and space charge wave to conclude an experiential formula for calculating the phase of the modulated current at the entrance of the gap of the middle cavity. It also applies a nonlinear theory of cavity excitation by modulated electron beam to calculate the amplitude and the phase of the gap voltage of the middle cavity and the output cavity, and presents an experimential formula for calculating the phase of the modulated current at the entrance of the gap of the output cavity. With these theories and 2D PIC, it estimates the phase of the modulated current at the entrance of the gap of the middle cavity and the output cavity as well as the amplitude and the phase of gap voltage in the middle cavity and the output cavity. The errors of the phase of the modulated current at the entrance of the gap of the middle cavity and the output cavity are 2.627° (model 1) and 3.857° (model 2); the relativistic errors of the amplitude of gap voltage in the middle cavity and the output cavity are 1.47% and 5.42%, the error of the phase of gap voltage in the middle cavity are 4.017° (model 2) and 5.427° (model 3), and the error of the phase of gap voltage in the output cavity is 12.32°. Finally, the paper analyzes the phase of the modulated current versus the propagation distance in three models by 2D PIC simulation.
- phase,
- relativistic klystron amplifier,
- nonlinear theory,
- particle in cell simulation,
- modulated current

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References(15)

References

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