Shih, ChunChing and Yariv, Amnon (1981) Inclusion of SpaceCharge Effects with Maxwell's Equations in the SingleParticle Analysis of FreeElectron Lasers. IEEE Journal of Quantum Electronics, 17 (8). pp. 13871394. ISSN 00189197. http://resolver.caltech.edu/CaltechAUTHORS:20120718140353042

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Abstract
In freeelectron lasers, the motion of electrons is governed by the Lorentz force equations in the presence of a radiation field. The variation of the radiation field then follows from Maxwell equations in which the modulated electron current acts as a source. A selfconsistent analysis, which completely incorporates these two concepts, is presented to describe the behavior of the radiation field and the modulation of the electron beam. In this analytical study, we consider the spacecharge effect as well as high interaction strength in the smallsignal limit so that the result can be compared directly with the travelingwave tube theory. It is found that the wellknown threewave solution is essentially applicable to the electron beam only. The variation of the radiation field is much more complicated. According to the analysis, there are only three controlling parameters: the pumping strength, the electron density, and the electron energy detuning. For different choices of those parameters, the field can be in a stable regime where its growth is limited or in an unstable regime where it grows exponentially. The boundary between these two regimes is defined quantitatively. The effect of the plasma resonance is observed at high electron densities as a natural result of maximum singlepass gains. The travelingwave tube is then analyzed as a special example.
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Additional Information:  © 1981 IEEE. Manuscript received January 6, 1981; revised March 26, 1981. Date of Current Version: 06 January 2003. This work was supported by the U.S. Air Force Office of Scientific Research.  
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Record Number:  CaltechAUTHORS:20120718140353042  
Persistent URL:  http://resolver.caltech.edu/CaltechAUTHORS:20120718140353042  
Official Citation:  ChunChing Shih; Yariv, A.; , "Inclusion of spacecharge effects with Maxwell's equations in the singleparticle analysis of freeelectron lasers," Quantum Electronics, IEEE Journal of , vol.17, no.8, pp. 1387 1394, Aug 1981 doi: 10.1109/JQE.1981.1071304 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1071304&isnumber=23024  
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ID Code:  32558  
Collection:  CaltechAUTHORS  
Deposited By:  Ruth Sustaita  
Deposited On:  18 Jul 2012 21:15  
Last Modified:  26 Dec 2012 15:36 
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