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变参数波振器小信号增益的三维效应

3-D EFFECTS ON SMALL SIGNAL GAIN FOR UNDULATORS WITH VARIABLE PARAMETERS
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摘要 本文对前文导出的变参数波振器小信号增益积分表达式,利用非均匀天线阵列概念与Madey定理作出了物理解释,并将该式推广为三维。我们考虑了电子束发射度,不同聚焦方式,光束的强度与相位横向分布以及FEL系统中磁场轴、电子束中心、光轴三轴不准直……对增益的影响,进行了数值计算。作为具体实例,我们对波音公司的实验装置进行了数值计算,与他们的数值摸拟结果作了比较。 A new explanation on the quadrature expression for small signal gain(SSG) in a variable parameter undulator is given in terms of Madey's theorem and analogy between the FEL and a phased antenna array and the spontaneous emission spectrum is derived. The generalization of the SSG expression from one to three dimensions is carried out and the effect on SSG due to the collima-tion error among the axes of the optical,electron beam and undulator is included as well. It shows at three dimensional effects will reduce SSG severely. The comparison with Boeing's FEL experiment is carried out and it is also pointed out that a better operation condition may be obtained if the first u-niform section of the Boeing's undulator is reduced a little to make the optimum energy mismatch shifted towards zero.
作者 兰可 施义晋
出处 《强激光与粒子束》 EI CAS CSCD 1992年第1期77-85,共9页 High Power Laser and Particle Beams
关键词 自由电子激光 波振器 天线阵列 FEL with variable parameter undulator,3-D effect,irregular atenna array.
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参考文献1

  • 1J. M. J. Madey. Relationship between mean radiated energy, mean squared radiated energy and spontaneous power spectrum in a power series expansion of the equations of motion in a free-electron laser[J] 1979,Il Nuovo Cimento B Series 11(1):64~88

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