Theory of a Double-Undulator Free-Electron Laser

DAI Zhi-Min

Chinese Physics C> 2004, Vol. 28> Issue(7) : 775-780

Theory of a Double-Undulator Free-Electron Laser

DAI Zhi-Min ^,

Shanghai Institute of Applied Physics,CAS, Shanghai 201800,China

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Abstract：
In this paper, we present a general theory of the double-undulator free-electron laser, in which an additional undulator with period close to the beam electron betatron oscillation period in the main undulator is introduced. A set of self-consistent equations is developed to describe the evolution of the optical wave in this device. The basic nonlinear equations are analyzed in the low-gain regime, the high-gain regime, and the saturation regime, respectively. By properly selecting parameters of the additional undulator, we may enhance the gain or efficiency of the free-electron laser.

References

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. Colson W B , Pellegrini C , Renieri A. Laser Handbook. North-Holland :Amsterdam, 1990. 62. Brau C A. Free-Electron Lasers. New York : Academic , Press , 19903. Bazyler V A , Tulupov A V. Nucl. Instrum. Methods , 1993 , A331 : 7424. Colson WB. IEEEJ . Quant. Electron , 1981 , 17 :14175. Colson B W. Free-Electron Lasers. New York : Acadmic Press , 19906. Bonifacio R. In High Gain High Power Free Electron Laser : Physics and Aplications to Tev Particle Acceleration. edited by Bonifacio R , De SouzaL , Pellegrini C. North-Holland : Amsterdam , 1989. 35—947. Sprangle P ,Smith R A. Phys. Rev. , 1980 , A21 : 2938. Tulupov A V. Phys. Lett. , 1993 , A178 : 189

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DAI Zhi-Min. Theory of a Double-Undulator Free-Electron Laser[J]. Chinese Physics C, 2004, 28(7): 775-780.

DAI Zhi-Min. Theory of a Double-Undulator Free-Electron Laser[J]. Chinese Physics C, 2004, 28(7): 775-780. shu

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Received: 2003-06-26
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Theory of a Double-Undulator Free-Electron Laser

DAI Zhi-Min ^,

Corresponding author: DAI Zhi-Min,

Shanghai Institute of Applied Physics,CAS, Shanghai 201800,China

Received Date: 2003-06-26
Accepted Date: 1900-01-01
Available Online: 2004-07-05

Abstract: In this paper, we present a general theory of the double-undulator free-electron laser, in which an additional undulator with period close to the beam electron betatron oscillation period in the main undulator is introduced. A set of self-consistent equations is developed to describe the evolution of the optical wave in this device. The basic nonlinear equations are analyzed in the low-gain regime, the high-gain regime, and the saturation regime, respectively. By properly selecting parameters of the additional undulator, we may enhance the gain or efficiency of the free-electron laser.