A Novel Method for Rigorously Analyzing Beam Loading Effect Based on the Macro-Particle Model
CHEN Qu-Shan1, PEI Yuan-Ji2**, HU Tong-Ning1, QIN Bin1**
1State Key Laboratory of Advanced Electromagnetic Engineering and Technology, Huazhong University of Science and Technology, Wuhan 430074 2National Synchrotron Radiation Laboratory, University of Science and Technology of China, Hefei 230026
Abstract:The beam loading effect is a considerable issue for a high average current beam. We apply a novel method without utilizing the specious beam current value to rigorously analyze the beam loading effect in S-band linacs. By tracking every macro-particle's state and using the energy conservation law, power dissipated from the beam is calculated in each cell. In the new particle-based algorithm, the concept of equivalent beam current is proposed. Its value is not constant and it has a small variation through the accelerating structure. Also, we introduce the iteration algorithm as comparison and we find that the two algorithms coincide with each other very well.
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