Optimization of the lattice function in the planar undulator applied for terahertz FEL oscillators

YANG Lei; QIN Bin; YANG Jun; LIU Xia-Ling; TAN Ping; HU Tong-Ning

doi:10.1088/1674-1137/38/3/037004

Chinese Physics C> 2014, Vol. 38> Issue(3) : 037004 DOI: 10.1088/1674-1137/38/3/037004

Optimization of the lattice function in the planar undulator applied for terahertz FEL oscillators

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Abstract：
Since the beta function of the electron beam within the undulator has a great influence on the power gain of the free electron laser (FEL), optimization of the undulator lattice becomes important. In this paper, the transfer matrix of the planar undulator is obtained from differential equations of the electron motion. Based on this, the lattice function of the planar undulator in a terahertz FEL oscillator proposed by Huazhong University of Science and Technology (HUST-FEL) is optimized and the expressions of the average beta function are derived. The accuracy of the optimization result was confirmed well by the numerical method. The application range of this analytical method is given as well. At last, the emittance growth in the horizontal direction due to the attenuation of the magnetic field is discussed.

References

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YANG Lei, QIN Bin, YANG Jun, LIU Xia-Ling, TAN Ping and HU Tong-Ning. Optimization of the lattice function in the planar undulator applied for terahertz FEL oscillators[J]. Chinese Physics C, 2014, 38(3): 037004. doi: 10.1088/1674-1137/38/3/037004

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Received: 2013-04-27
Revised: 1900-01-01

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Optimization of the lattice function in the planar undulator applied for terahertz FEL oscillators

Corresponding author: QIN Bin,

Received Date: 2013-04-27

Accepted Date: 1900-01-01

Available Online: 2014-03-05

Abstract: Since the beta function of the electron beam within the undulator has a great influence on the power gain of the free electron laser (FEL), optimization of the undulator lattice becomes important. In this paper, the transfer matrix of the planar undulator is obtained from differential equations of the electron motion. Based on this, the lattice function of the planar undulator in a terahertz FEL oscillator proposed by Huazhong University of Science and Technology (HUST-FEL) is optimized and the expressions of the average beta function are derived. The accuracy of the optimization result was confirmed well by the numerical method. The application range of this analytical method is given as well. At last, the emittance growth in the horizontal direction due to the attenuation of the magnetic field is discussed.

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Optimization of the lattice function in the planar undulator applied for terahertz FEL oscillators

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