自由電子激光器的橫向幾何效應
THE TRANSVERSE GEOMETRIC EFFECTS IN A FREE ELECTRON LASER
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摘要: 以具有軸向磁場和線偏振擺動器場的自由電子激光器為例研究了波導壁和電子束厚度對自由電子激光不穩(wěn)定性的影響。用流體力學方法推得了輻射波(TE模)和TM模的耦合方程組,將解得的電磁場代入電子束表面的邊界條件便得到色散關(guān)系和不穩(wěn)定性的增長率。數(shù)值結(jié)果表明體耦合的貢獻遠大于面電流密度耦合的貢獻。存在一個最佳厚度和波導壁距離,此時增長率為極大。
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關(guān)鍵詞:
- 自由電子激光; 橫向幾何效應; 穩(wěn)定性
Abstract: The effects of the beam thickness and the conducting wall in a free electron laser with a linearly polarized wiggle magnetic field and an axial magnetic field are investigated within the framework of fluid-Maxwell equations. The growth rate of free electron laser instability is obtained, in which the nonlinear volume and surface current density are simultaneously considered. The numerical calculations indicate that the volume coupling is dominant. There is a particular value of the beam thickness and the separation between the conducting wall and the beam for which the growth rate becomes maximum. -
S. H. Gold, W. M. Black, H. P. Freund, V.L.Granatstein, R. H. Jackson, P. C. Efthimion, and A. K. Kinkead, Phys. Fluids, 26(1983), 2683.[2]H. S. Uhm and R. C. Davidson, ibid., 24(1981), 1541.[3]H. S. Uhm and R. C. Davidson, ibid., 24(1981), 2348.[4]H. S. Uhm and R. C. Davidson, ibid., 26(1983), 288.[5]T. Shiozawa and T. Nakashima, J. Appl. Phys., 55(1984), 637.[6]T. Shiozawa and H. Nakano, IEEE J. of QE, QE-21(1985), 931.[7]Y. Z. Yin and G. Bekefi, J. Appl. Phys., 55(1984), 33. -
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