Gain calculation of a free-electron laser operating with a non-uniform ion-channel guide

doi:10.1088/1674-1056/20/9/094103

Abstract Amplification of an electromagnetic wave by a free electron laser (FEL) with a helical wiggler and an ion channel with a periodically varying ion density is examined. The relativistic equation of motion for a single electron in the combined wiggler and the periodic ion-channel fields is solved and the classes of possible trajectories in this configuration are discussed. The gain equation for the FEL in the low-gain-per-pass limit is obtained by adding the effect of the periodic ion channel. Numerical calculation is employed to analyse the gain induced by the effects of the non-uniform ion density. The variation of gain with ion-channel density is demonstrated. It is shown that there is a gain enhancement for group I orbits in the presence of a non-uniform ion-channel but not in a uniform one. It is also shown that periodic ion-channel guiding is used to reach the maximum peak gain in a low ion-channel frequency (low ion density).

Keywords: free electron laser nonuniform ion-channel helical wiggler

Received: 05 September 2010
Revised: 14 February 2011
Accepted manuscript online:

PACS:	41.60.Cr	(Free-electron lasers)
	52.59.Rz	(Free-electron devices)
	52.38.-r	(Laser-plasma interactions)

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A. Hasanbeigi, H. Mehdian, and S. Jafari Gain calculation of a free-electron laser operating with a non-uniform ion-channel guide 2011 Chin. Phys. B 20 094103

[1]	Freund H P and Antonsen Jr J M 1996 Principles of Free-Electron Lasers (London: Chapman and Hall)
[2]	Whittum D H, Sessler A M and Dawson J M 1990 Phys. Rev. Lett. 64 2511
[3]	Takayama K and Hiramatsu S 1988 Phys. Rev. A 37 173
[4]	Whittum D H 1992 Phys. Fluids B 4 730
[5]	Mangles S P D, Walton B R, Tzoufras M, Najmudin Z, Clarke R J, Dangor A E, Evans R G, Fritzler S, Gopal A, Hernandez Gomez C, Mori W B, Rozmus W, Tatarakis M, Thomas A G R, Tsung F S, Wei M S and Krushelnick K 2005 Phys. Rev. Lett. 94 245001
[6]	Liu C S, Tripathi V K and Kumar N 2007 Plasma Phys. Controlled Fusion 49 325
[7]	Tzoufras M, Lu W, Tsung F S, Huang C, Mori W B, Katsouleas T, Vieira J, Fonseca R A and Silva L O 2008 Phys. Rev. Lett. 101 145002
[8]	Jackson J D 1975 Classical Electrodynamics (New York: Wiley)
[9]	Wang S Q, Clayton C E, Blue B E, Dodd E S, Marsh K A, Mori W B, Joshi C, Lee S, Muggli P, Katsouleas T, Decker F J, Hogan M J, Iverson R H, Raimondi P, Walz D, Siemann R and Assmann R 2002 Phys. Rev. Lett. 88 135004
[10]	Jha P and Kumar P 1996 IEEE Trans. Plasma Sci. 24 1359
[11]	Mehdian H and Raghavi A 2007 Plasma Phys. Control. Fusion 49 69
[12]	Mehdian H, Hasanbeigi A and Jafari S 2008 Phys. Plasmas 15 73103
[13]	Jha P and Kumar P 1998 Phys. Rev. E 57 2256
[14]	Miller J D and Gilgenbach R M 1987 Phys. Fluids 30 3165
[15]	Adler R J 1982 Part. Accel. 12 39
[16]	Golub Y Y and Rozanov N E 1995 Tech. Phys. 40 346
[17]	Bosch R A and Gilgenbach R M 1988 Phys. Fluids 31 634
[18]	Yariv A 1989 Quantum Electronics 3rd edn. (New York: Wiely) pp. 277—297
[19]	Pakter R and Rizzato F B 2001 Phys. Rev. Lett. 87 044801

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Gain calculation of a free-electron laser operating with a non-uniform ion-channel guide

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