Theoretical and numerical analysis of coherent Smith-Purcell radiation

  • Coherent enhancement of Smith-Purcell radiation has attracted people's attention not only in adopting a better source but also in beam diagnostics aspect. In this paper, we study the intrinsic mechanism of coherent Smith-Purcell radiation on the basis of the van den Berg model. The emitted power of Smith-Purcell radiation is determined by the bunch profile in transverse and longitudinal directions. For short bunch whose longitudinal pulse length is comparable with the radiation wavelength, it can be concluded approximately that the power is proportional to the square number of electrons per bunch.

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  • [1] . Smith S J, Purcell E M. Phys. Rev., 1953, 92: 10692. Toraldo G. di Francia. Nuovo Cimento, 1961, 16: 10653. Berg P M V D. J. Opt. Soc. Am., 1973, 63: 15884. Berg P M V D, TAN T H. J. Opt. Soc. Am., 1974, 64: 3255. Berg P M V D. Appl. Sci. Res., 1971, 24: 2616. Bachheimer J P. Thesis Ph D. Universite Scienti que et Medicale Grenoble, 19717. Ikuno H, Yasuura K. IEEE Trans. Antennas Propag., 1973,AP-2: 6578. Scarlat F, Facina M, Dinca C D et al. Nucl. Instrum. Methods Phys. Res. B, 2001, 173: 939. Kube G. Nucl. Instrum. Methods Phys. Res. B, 2005, 227:18010. Trotz Seth R, Brownell J H, Walsh John E et al. Phys. Rev.E, 2000, 61: 705711. Kube G, Backe H, Euteneuer H et al. Phys. Rev. E, 2002,65: 05650112. Walsh, Woods K, Yeager S. Nucl. Instrum. Methods Phys.Res. A, 1994, 41: 27713. Brownell J H, Walsh J, Doucas G. Phys. Rev. E, 1998, 57:107514. Potylitsyn A P. Nucl. Instrum. Methods Phys. Res. B, 1998,145: 6015. Kesar A S. Phys. Rev. ST Accel. Beams, 2005, 8: 07280116. Doucas G, Kimmitt M F, Andrews H L et al. Phys. Rev.ST Accel. Beams, 2002, 5: 07280217. Doucas G, Blackmore V, Ottewell B et al. Phys. Rev. STAccel. Beams, 2006, 9: 09280118. Ishi K, Shibata Y, Takahashi T et al. Phys. Rev. E, 1995,51: R521219. Gover A, Dvorkis P, Elisha U. J. Opt. Soc. Am. B, 1984,1: 72320. Adischev Y N, Vukolov A V, Karlovets D V et al. Pis'maZh. Eksp. Teor. Fiz., 2005, 82: 192; JETP Lett., 2005, 82:17421. Brownell J H, Doucas G, Kimmitt M F et al. J. Phys. D,1997, 30: 247822. Backe H, Lauth W, Mannweiler H et al. in NATO Workshop: Advanced Radiation Sources and Applications. New York: Springer, 2006. 267-28223. Kube G, Backe H, Euteneuer H et al. Phys. Rev. E, 2002,65: 05650124. Reiche S, Rosenzweig J B. Phys. Rev. ST Accel. Beams,2003, 6: 04070225. Bonifacio R, Pellegrini C, Narducci L M. Opt. Commun.,1984, 50: 37326. Murokh A. Nucl. Instrum. Methods A, 1998, 410: 54927. Bolotovskii B M, Voskresenskii G M. Usp. Fiz. Nauk., 1966,88: 209
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BEI Hua and DAI Zhi-Min. Theoretical and numerical analysis of coherent Smith-Purcell radiation[J]. Chinese Physics C, 2008, 32(11): 916-923. doi: 10.1088/1674-1137/32/11/014
BEI Hua and DAI Zhi-Min. Theoretical and numerical analysis of coherent Smith-Purcell radiation[J]. Chinese Physics C, 2008, 32(11): 916-923.  doi: 10.1088/1674-1137/32/11/014 shu
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Received: 2007-11-27
Revised: 2008-04-24
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Theoretical and numerical analysis of coherent Smith-Purcell radiation

    Corresponding author: BEI Hua,

Abstract: 

Coherent enhancement of Smith-Purcell radiation has attracted people's attention not only in adopting a better source but also in beam diagnostics aspect. In this paper, we study the intrinsic mechanism of coherent Smith-Purcell radiation on the basis of the van den Berg model. The emitted power of Smith-Purcell radiation is determined by the bunch profile in transverse and longitudinal directions. For short bunch whose longitudinal pulse length is comparable with the radiation wavelength, it can be concluded approximately that the power is proportional to the square number of electrons per bunch.

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