The Conditions for Stable Sheet Electron Beams Transport in Periodic Permanent Magnet Fields
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The Conditions for Stable Sheet Electron Beams Transport in Periodic Permanent Magnet Fields Zhan-Liang Wang & Yu-Bin Gong & Yan-Yu Wei & Zhao-Yun Duan & Hua-Rong Gong & Ling-Na Yue & Hai-Rong Yin & Zhi-Gang Lu & Jin xu & Bei-ran Chen & Pu-Kun Liu & Gun-sik Park
Received: 6 December 2009 / Accepted: 5 February 2010 / Published online: 2 March 2010 # Springer Science+Business Media, LLC 2010
Abstract The stable focusing or transport of sheet electron beams is an essential technology for an emerging class of high-power high-frequency planar-structure microwave devices. This paper, in consideration of space-charge field and cyclotron motion, describes theoretical study and simulation on sheet beams transport in periodic permanent magnetic (PPM) fields. Based on the theoretical study, we obtain the clear conditions for the stable sheet beams transport in PPM field. And the three-dimensional simulations of the sheet beam transport are in good agreement with our theoretical study. Our research will be useful in further study and experimental. Keywords PPM . Sheet electron beam . High power millimeter wave
1 Introduction Sheet electron beams have been of interest for numerous applications including high power millimeter wave devices, FEL, accelerators, plasma chemistry reactors and excitations of gas laser [1–4]. Compact, high-power, high-frequency, planar-structure microwave sources are the most essential of those many applications [5]. The advantages of using sheet beams for high current applications at reduced current density were noticed over five decades ago. However, around the same time, experiments with planar sheet beams identified filamentation instability (diocotron mode) when the beams propagated in a uniform solenoidal focusing magnetic field [6]. Recent theoretical
Z.-L. Wang (*) : Y.-B. Gong : Y.-Y. Wei : Z.-Y. Duan : H.-R. Gong : L.-N. Yue : H.-R. Yin : Z.-G. Lu : J. xu : B.-r. Chen : P.-K. Liu School of Physical Electronics, University Electronic Science and Technology of China, Chengdu 610054, China e-mail: [email protected] G.-s. Park School of Physics, Seoul National University, Seoul, Korea
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J Infrared Milli Terahz Waves (2010) 31:649–658
and numerical studies have shown that stable transport of sheet beams without diocotron mode is possible, when sheet beam is transported in periodic permanent magnetic (PPM) fields, which include periodically cusped magnet (PCM) fields and wiggler fields [7–13]. The clear conditions for stable sheet beam transport in PPM fields is very urgent and has been investigated for a long time [7–17]. By neglecting the influence of space-charge field and cyclotron motion, the previous works got vague conditions for stable sheet beam transport. In this paper, we present detailed theoretical study on sheet beams transport in consideration of the influence of space-charge field and cyclotron motion. Through the theoretical study, we obtain the clear conditions for stable sheet beams transport which was verified by three dimensional simulations. Section 2 presents the theor
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