Hostname: page-component-8448b6f56d-cfpbc Total loading time: 0 Render date: 2024-04-19T15:46:37.466Z Has data issue: false hasContentIssue false

Comparative study of electron motion and stability for different focusing regimes in a free-electron laser with three-dimensional helical wiggler

Published online by Cambridge University Press:  13 July 2015

Jing-Yue Xu
Affiliation:
School of Physics and Chemistry, Xihua University, Chengdu, Sichuan 610039, China
S.-J. Wang
Affiliation:
School of Physics and Chemistry, Xihua University, Chengdu, Sichuan 610039, China
Y.-G. Xu
Affiliation:
School of Physics and Chemistry, Xihua University, Chengdu, Sichuan 610039, China
Y.-P. Ji
Affiliation:
School of Physics and Chemistry, Xihua University, Chengdu, Sichuan 610039, China
X.-X. Liu
Affiliation:
School of Physics and Chemistry, Xihua University, Chengdu, Sichuan 610039, China
Shi-Chang Zhang*
Affiliation:
School of Physics and Chemistry, Xihua University, Chengdu, Sichuan 610039, China Institute of Photoelectronics, Southwest Jiaotong University, Chengdu, Sichuan 610031, China
*
Email address for correspondence: sczhang@home.swjtu.edu.cn

Abstract

Since the electromagnetic energy gained by the laser wave in a free-electron laser (FEL) is transferred from the kinetic energy loss of a relativistic electron beam, the stability of electron motion is one of the key factors that affect FEL performance. In this paper the stability of electron motion is compared for different focusing regimes. It is demonstrated that the natural focusing regime of a three-dimensional wiggler is easily broken by the self-field of the electron beam. The magnetic focusing regime of an axial guide magnetic field is based on the superposition of a strong Larmor rotation on the transverse quiver motion of the electrons, while the electric focusing regime of an ion-channel guiding field generates an electric force to counteract the divergent effect of the beam self-field. In comparison with the magnetic focusing regime of an external magnetic system, the electric focusing regime of an ion-channel guiding field may yield smaller instantaneous Larmor radius and slighter Larmor-centre deviation from the axis and provide better motion stability.

Type
Research Article
Copyright
© Cambridge University Press 2015 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Abarbanel, H., Brown, R., Sidorovich, J. & Tsimring, L. 1993 The analysis of observed chaotic data in physical systems. Rev. Mod. Phys. 65, 13311342.Google Scholar
Bahman, F. & Maraghechi, B. 2013 Three-dimensional nonlinear efficiency enhancement analysis in free-electron laser amplifier with prebunched electron beam and ion-channel guiding. Phys. Plasmas 20, 023101.Google Scholar
Benettin, G., Galgani, L. & Strelcyn, J. 1976 Kolmogorov entropy and numerical experiments. Phys. Rev. A 14, 23382344.CrossRefGoogle Scholar
Blewett, J. & Chasman, R. 1977 Orbits and fields in the helical wiggler. J. Appl. Phys. 48, 26922720.Google Scholar
Conde, M. & Bekefi, G. 1991 Experimental study of a 33.3-GHz free-electron-laser amplifier with a reversed axial guide magnetic field. Phys. Rev. Lett. 67, 30823099.Google Scholar
Esmaeilzadeh, M., Mehdian, H. & Willet, J. 2001 Gain equation for a free-electron laser with a helical wiggler and ion-channel guiding. Phys. Rev. E 65, 016501.Google Scholar
Esmaeilzadeh, M. & Taghavi, A. 2012 Chaos in an ion-channel free-electron laser with realistic helical wiggler. Phys. Plasmas 19, 113101.CrossRefGoogle Scholar
Huang, Z. & Kim, K.-J. 2007 Review of x-ray free-electron laser theory. Phys. Rev. ST Accel. Beams 10, 034801.Google Scholar
Huang, X.-L., Wang, S.-J., Xu, Y.-G. & Zhang, S.-C. 2012 Equilibrium electrons in free-electron lasers with a 3D helical wiggler and a guide magnetic field: Nonlinear simulations. Phys. Rev. ST Accel. Beams 15, 120702.Google Scholar
Jha, P., Kumar, P. & Pande, K. 1999 Harmonic generation in free-electron laser with circularly polarized wiggler and ion-channel guiding. IEEE Trans. Plasma Sci. 27, 637652.Google Scholar
Maier, A., Meseck, A., Reiche, S., Schroeder, C., Seggebrock, T. & Gruner, F. 2012 Demonstration scheme for a laser-plasma-driven free-electron laser. Phys. Rev. X 2, 031019.Google Scholar
Marshall, T. C. 1985 Free-Electron Lasers. Macmillan.Google Scholar
Martin, W., Caporaso, G., Fawlcy, W., Prosnitz, D. & Cole, A. 1985 Electron-beam guiding and phase-mix damping by a laser-ionized channel. Phys. Rev. Lett. 54, 685691.Google Scholar
Mehdian, H., Alimohamadi, M. & Hasanbeigi, A. 2012 The solution of the spherical Raman–Nath equation for free-electron laser in the presence of ion-channel guiding. J. Plasma Phys. 78, 537545.Google Scholar
Ozaki, T., Ebihara, K., Hiramatsu, S., Kimura, Y., Monaka, T., Takayama, K. & Whittum, D. 1992 First result of the KEK X-band free electron laser in the ion channel guiding regime. Nucl. Instrum. Meth. Phys. Res. A 318, 101120.Google Scholar
Raghavi, A., Ninno, G. & Mehadian, H. 2008 Effects of ion-channel guiding on the saturation mechanism of a single-pass free-electron laser. Nucl. Instrum. Meth. Phys. Res. A 591, 338340.CrossRefGoogle Scholar
Rouhan, M. & Maraghechi, B. 2009 Efficiency enhancement in a single-pass Raman free electron laser. Phys. Plasmas 16, 093110.Google Scholar
Ruan, J., Johnson, A., Lumpkin, A., Thurman-Keup, R., Edwards, H., Fliller, R., Koeth, T. & Sun, Y.-E. 2011 First observation of the exchange of transverse and longitudinal emittances. Phys. Rev. Lett. 106, 244801.Google Scholar
Saviz, S., Rezael, Z. & Aghamir, F. 2012 Gain in two stream free electron laser with planar wiggler and ion-channel guiding. Phys. Plasmas 19, 203115.Google Scholar
Socol, Y., Kulipanov, G., Matveenko, A., Shevchenko, O. & Vinokurov, N. 2011 Compact 13.5-nm free-electron laser for extreme ultraviolet lithography. Phys. Rev. ST Accel. Beams 14, 040702.Google Scholar
Takayama, K. & Hiramatsu, S. 1988 Ion-channel guiding in a steady-state free-electron laser. Phys. Rev. A 37, 173182.Google Scholar
Wang, S.-J., Xu, Y.-G., Ji, Y.-P., Xu, J.-Y., Lu, H., Liu, X.-X. & Zhang, S.-C. 2013 Characteristics of electron motion in a short-wavelength free-electron laser. Acta Phys. Sin. 62, 144103.Google Scholar
Whittum, D.1990 Theory of ion-channel laser. Ph.D. dissertation, University of California at Berkeley, chap. 2.Google Scholar
Xu, Y.-G., Wang, S.-J., Ji, Y.-P., Xu, J.-Y., Lu, H., Liu, X.-X. & Zhang, S.-C. 2013 Comparative study of relativistic electron motion stability in a Raman free-electron laser. Acta Phys. Sin. 62, 084104.Google Scholar
Zhang, S.-C. 2013 Focusing effect and modulation mechanism of the beam self-fields on the electron’s Larmor rotation in a free-electron laser with an axial guide magnetic field. Phys. Lett. A 377, 319322.Google Scholar
Zhang, S.-C. & Elgin, J. 2004 Application of Kolmogorov entropy to the self-amplified spontaneous emission free-electron lasers. Phys. Plasmas 11, 16631668.Google Scholar