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Abstract:
In this paper the general solution of the transient beam loading problem for a constant gradient travelling waye accelerator structure (SLAC-type structure) is obtained starting with the energy conservation law. In particular, for the thermionic microwave gun serving as a injector where the beam pulse current increases with time, the beam loading problem is treated firstly. Then, the solution is used to analyze the accelerator of Beijing Free Electron Laser and the result shows the beam energy decrease with the increase of the pulse current.
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