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Stability of an electron beam in a two-frequency wiggler with a self-generated field

Published online by Cambridge University Press:  27 April 2010

SOON-KWON NAM
Affiliation:
Department of Physics, Kangwon National University, Chunchon 200-701, Republic of Korea (snam@kangwon.ac.kr)
KI-BUM KIM
Affiliation:
Cyclotron Research Institute, Kangwon National University, Chunchon 200-701, Republic of Korea (kkbum@kangwon.ac.kr)

Abstract

We investigate the relativistic electron motions in a two-frequency wiggler magnetic field with self-generated fields. The equations of motion are derived from the Hamiltonian which include the self-generated field, and we find the steady-state orbit from the equations of motion. The stability of electron motion in a two-frequency wiggler is examined by the numerical simulation. We analyze the a dynamical systems using the fast Fourier transformation and the Poincarè surface of section to find the critical value which have the periodical electron motion and to optimize the two-frequency wiggler.

Type
Papers
Copyright
Copyright © Cambridge University Press 2010

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References

[1]Benson, S. V. and Madey, J. M. J. 1989 Demonstration of harmonic lasing in a free-electron laser. Phys. Rev. A 39, 15791581.CrossRefGoogle Scholar
[2]Luchini, P. and Motz, H. 1990 Undulators and Free-electron Lasers. New York: Oxford University Press.CrossRefGoogle Scholar
[3]Mishra, G., Basu, C., Chouhan, S., Dutta, A. K. and Rajput, N. P. 2003 Betatron harmonic radiation from crossed-planar undulators used in low-energy FELs. J. Mod. Opt. 50 (8), 12991308.CrossRefGoogle Scholar
[4]Chouhan, S. and Mishra, G. 2002 Effects of inhomogeneous broadening on two-frequency longitudinal wiggler brightness. Phys. Lett. A 299 (4), 392400.CrossRefGoogle Scholar
[5]Dattoli, G. and Bucci, L. 2002 Free electron lasers operating with variably polarization undulators. Nucl. Instrum. Methods Phys. Res. A 450, 479490.CrossRefGoogle Scholar
[6]Nam, S.-K. and Kim, K.-B. 2005 The stability of an electron beam in a free-electron laser with a tapered helical wiggler. J. Korean Phys. Soc. 47, 958963.Google Scholar
[7]Yang, Y. and Ding, W. 1998 Enhanced harmonic radiation from a dual-harmonic wiggler. Nucl. Instrum. Methods Phys. Res. A 407, 6063.CrossRefGoogle Scholar
[8]Dattoli, G., Giannessi, L., Ottaviani, P. L., Freund, H. P., Biedron, S. G. and Milton, S. 2002 Two harmonic undulators and harmonic generation in high gain free electron lasers. Nucl. Instrum. Methods Phys. Res. A 495, 4857.CrossRefGoogle Scholar
[9]Gupta, V. and Mishra, G. 2006 Harmonic undulator free electron laser and betatron oscillations. Nucl. Instrum. Methods Phys. Res. A 556, 350356.CrossRefGoogle Scholar
[10]Iracane, D., Touati, D. and Chaix, P. 1994 Effect of the wiggler harmonics on the free electron laser dynamics. Nucl. Instrum. Methods Phys. Res. A 341, 220224.CrossRefGoogle Scholar
[11]Michel, L., Bourdier, A. and Buzzi, J. M. 1991 Chaotic electron trajectories in a free electron laser. Nucl. Instrum. Methods Phys. Res. A 304, 465471.CrossRefGoogle Scholar
[12]Spindler, S. and Renz, G. 1991 Chaotic behavior of electron orbits in a free electron laser near magnetoresonance. Nucl. Instrum. Methods Phys. Res. A 304, 492496.CrossRefGoogle Scholar
[13]Michel-Lours, L., Bourdier, A. and Buzzi, J. M. 1993 Chaotic electron trajectories in a free-electron laser with a linearly polarized wiggler. Phys. Fluids B 5, 965971.CrossRefGoogle Scholar
[14]Bourdier, A. and Michel-Lours, L., 1994 Identifying chaotic electron trajectories in a helical-wiggler free-electron laser. Phys. Rev. E 49, 33533359.Google Scholar
[15]Chen, C. and Davidson, R. C. 1990 Chaotic electron dynamics for relativistic-electron-beam propagation through a planar wiggler magnetic field. Phys. Rev. A 42, 50415044.CrossRefGoogle ScholarPubMed