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A three-dimensional time-dependent theory for helix traveling wave tubes in beam-wave interaction |
Peng Wei-Feng(彭维峰), Hu Yu-Lu(胡玉禄), Yang Zhong-Hai(杨中海), Li Jian-Qing(李建清), Lu Qi-Ru(陆麒如), and Li Bin(李斌)† |
Vacuum Electronics National Laboratory, University of Electronic Science and Technology of China, Chengdu 610054, China |
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Abstract This paper presents a three-dimensional time-dependent nonlinear theory of helix traveling wave tubes for beam-wave interaction. The radio frequency electromagnetic fields are represented as the superposition of azimuthally symmetric waves in a vacuum sheath helix. Coupling impedance is introduced to the electromagnetic field equations' stimulating sources, which makes the theory easier and more flexible to realize. The space charge fields are calculated by electron beam space-charge waves expressed as the superposition solutions of Helmholtz equations. The focusing forces due to either a solenoidal field or a periodic permanent magnetic field is also included. The dynamical equations of electrons are Lorentz equations associating with electromagnetic fields, focusing fields and space-charge fields. The numerically simulated results of a tube are presented.
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Received: 21 April 2010
Revised: 15 July 2010
Accepted manuscript online:
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PACS:
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84.40.Fe
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(Microwave tubes (e.g., klystrons, magnetrons, traveling-wave, backward-wave tubes, etc.))
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13.40.Ks
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(Electromagnetic corrections to strong- and weak-interaction processes)
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Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 60601004, 60801029, 10876005, and 60931001). |
Cite this article:
Peng Wei-Feng(彭维峰), Hu Yu-Lu(胡玉禄), Yang Zhong-Hai(杨中海), Li Jian-Qing(李建清), Lu Qi-Ru(陆麒如), and Li Bin(李斌) A three-dimensional time-dependent theory for helix traveling wave tubes in beam-wave interaction 2011 Chin. Phys. B 20 028401
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