Three-Dimensional Simulation of Free Electron Laser with Prebunching and Efficiency Enhancement
Three-dimensional simulation of harmonic up
generation in free electron laser amplifier operating simultaneously
with a cold and relativistic electron beam is presented in steady-state
regime where the slippage of the electromagnetic wave with respect
to the electron beam is ignored. By using slowly varying envelope
approximation and applying the source-dependent expansion to wave
equations, electromagnetic fields are represented in terms of the
Hermit Gaussian modes which are well suited for the planar wiggler
configuration. The electron dynamics is described by the fully threedimensional
Lorentz force equation in presence of the realistic planar
magnetostatic wiggler and electromagnetic fields. A set of coupled
nonlinear first-order differential equations is derived and solved
numerically. The fundamental and third harmonic radiation of the
beam is considered. In addition to uniform beam, prebunched
electron beam has also been studied. For this effect of sinusoidal
distribution of entry times for the electron beam on the evolution of
radiation is compared with uniform distribution. It is shown that
prebunching reduces the saturation length substantially. For
efficiency enhancement the wiggler is set to decrease linearly when
the radiation of the third harmonic saturates. The optimum starting
point of tapering and the slope of radiation in the amplitude of
wiggler are found by successive run of the code.
[1] H. P. Freund, D. Douglas, and P. G. O'Shea, "Multiple-Beam Free-
Electron Lasers," Nucl. Instrum. Methods A, vol. 507, pp. 373-377, July
2003.
[2] H. P. Freund, S. G. Biedron, S. V. Milton, "Nonlinear Harmonic
Generation in Free-Electron Lasers," IEEE J. Quantum Electron, vol. 36,
pp. 275-280, March 2000
[3] G. R. Neil, H. P. Freund, "Nonlinear Harmonic Generation in
Distributed Optical Klystrons" Nucl. Instr. and Meth. A, vol. 475, pp.
373-376. December 2001.
[4] S. G. Biedron, H. P. Freund, S. V. Milton, L.-H. Yu, X. J. Wang,
"Modular Approach to Achieving the Next-Generation X-Ray Light
Source," Nucl. Instr. and Meth. A, vol. 475, pp. 401-406, December
2001.
[5] M. H. Rouhani and B. Maraghechi, and H. Saberi, " Efficiency
Enhancement of a Two-Beam Free-Electron Laser," Phys. Plasmas, vol.
16, 123105. December 2009.
[6] M. H. Rouhani and B. Maraghechi, "Efficiency Enhancement in Seeded
and Self-Amplified Spontaneous Emission Free-Electron Laser,"
Physics of plasma. vol. 16, pp. 093110, 2009.
[7] H. P. Freund W. H. Miner, Jr. "Efficiency Enhancement in Seeded and
Self-Amplified Spontaneous Emission Free-Electron Laser by Means of
a Tapered Wiggler," j. Appl. Phys. Vol. 105, pp. 113106 - 113106-6,
2009.
[1] H. P. Freund, D. Douglas, and P. G. O'Shea, "Multiple-Beam Free-
Electron Lasers," Nucl. Instrum. Methods A, vol. 507, pp. 373-377, July
2003.
[2] H. P. Freund, S. G. Biedron, S. V. Milton, "Nonlinear Harmonic
Generation in Free-Electron Lasers," IEEE J. Quantum Electron, vol. 36,
pp. 275-280, March 2000
[3] G. R. Neil, H. P. Freund, "Nonlinear Harmonic Generation in
Distributed Optical Klystrons" Nucl. Instr. and Meth. A, vol. 475, pp.
373-376. December 2001.
[4] S. G. Biedron, H. P. Freund, S. V. Milton, L.-H. Yu, X. J. Wang,
"Modular Approach to Achieving the Next-Generation X-Ray Light
Source," Nucl. Instr. and Meth. A, vol. 475, pp. 401-406, December
2001.
[5] M. H. Rouhani and B. Maraghechi, and H. Saberi, " Efficiency
Enhancement of a Two-Beam Free-Electron Laser," Phys. Plasmas, vol.
16, 123105. December 2009.
[6] M. H. Rouhani and B. Maraghechi, "Efficiency Enhancement in Seeded
and Self-Amplified Spontaneous Emission Free-Electron Laser,"
Physics of plasma. vol. 16, pp. 093110, 2009.
[7] H. P. Freund W. H. Miner, Jr. "Efficiency Enhancement in Seeded and
Self-Amplified Spontaneous Emission Free-Electron Laser by Means of
a Tapered Wiggler," j. Appl. Phys. Vol. 105, pp. 113106 - 113106-6,
2009.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:52974", author = "M. Chitsazi and B. Maraghechi and M. H. Rouhani", title = "Three-Dimensional Simulation of Free Electron Laser with Prebunching and Efficiency Enhancement", abstract = "Three-dimensional simulation of harmonic up
generation in free electron laser amplifier operating simultaneously
with a cold and relativistic electron beam is presented in steady-state
regime where the slippage of the electromagnetic wave with respect
to the electron beam is ignored. By using slowly varying envelope
approximation and applying the source-dependent expansion to wave
equations, electromagnetic fields are represented in terms of the
Hermit Gaussian modes which are well suited for the planar wiggler
configuration. The electron dynamics is described by the fully threedimensional
Lorentz force equation in presence of the realistic planar
magnetostatic wiggler and electromagnetic fields. A set of coupled
nonlinear first-order differential equations is derived and solved
numerically. The fundamental and third harmonic radiation of the
beam is considered. In addition to uniform beam, prebunched
electron beam has also been studied. For this effect of sinusoidal
distribution of entry times for the electron beam on the evolution of
radiation is compared with uniform distribution. It is shown that
prebunching reduces the saturation length substantially. For
efficiency enhancement the wiggler is set to decrease linearly when
the radiation of the third harmonic saturates. The optimum starting
point of tapering and the slope of radiation in the amplitude of
wiggler are found by successive run of the code.", keywords = "Free electron laser, Prebunching, Undulator,Wiggler.", volume = "4", number = "9", pages = "1242-3", }