Nonlinear Transport Behavior of Sheet-Beem in Periodic Field
-
摘要: 冷腔束流动力学问题是微波器件和太赫兹器件的基本问题。在经典物理学框架内把周期场中片状束的运动方程化为Duffing型Mathieu方程。利用摄动法讨论了系统在v =1共振线附近的运动行为,导出了系统频率响应和振幅响应,揭示了系统的跳跃现象和不稳定性。对线性近似下得到的部分结果进行了修正。
-
[1] XIAO Ren-zhen, TENG Yan, SONG Zhi-min, et al. Theoretical study of Klystron-like relativistic backward wave oscillator[J]. High Laser and Particle Beams, 2012, 24(3): 747-751. [2] CARSTEN B E, EARLEY L M, KRAWCZYK F L, et al. Stability of an emittance-dominated sheet-electron beam in planar wiggler and periodic permanent magnet structures with natural focusing[J]. Phys Rev STAB, 2005(8): 062001-062005. [3] LIU Sheng-gang. Recent development of Terahertz science and technology[J]. China Basic Science, 2006, 8(1): 7-12. [4] CARSTEN B E, EARLEY L M, KRAWCZYK F L, et al. Stable two-plane focusing for emittance-dominated sheet- beam transport[J]. Phys Rev STAB, 2005(8): 062002-062007. [5] LIU Hui-jie, LUO Shi-yu, SHAO Ming-zhu. The effect on synchrotron motion by modulation of high frequency voltage[J]. Nucl Phys Rev, 2011, 28(2): 191-195. [6] HUMPHRIES S, RUSSELL S, CARSTEN B E, et al. Circular-to-planar transformations of high-perveance electron beams by asymmetric solenoid lenses[J]. Phys Rev STAB, 2003(7): 060401-060405. [7] ZHANG Mei, LUO Xiao-hua, SHAO Ming-zhu, et al. The radiation attenuation and energy gain for crystallie undulator field[J]. Chinese Journal of Luminescence, 2010, 31(3): 454-458. [8] RUSSELL S J, WANG Z F, HAYNES W B, et al. First observation of elliptical sheet beam formation with an asymmetric solenoid lens[J]. Phys Rev STAB, 2005(8): 080401-080406. [9] LUO Xiao-hua, LUO Shi-yu. Three-beam storage and dynamical stability of electron synchronized motion in storage rings[J]. Sci Chin Physics: Mechanics & Astronomy, 2014, 44(2): 169-175. [10] BRINKMAN R, DERBENEV Y, FLOTTMAN K. A low emittance, flat-beam electron source for linear colliders[J]. Phys Rev STAB, 2001(4): 053501-053507. [11] LUO Xiao-hua. General solution of Schrodinger equation and electron transition in superlattice multi-quantum well [J]. Chin Phys Soc, 2014, 63(1): 017302-017306. [12] BOOSKE J H, BRIAN D M. Stability and confinement of nonrelativistic sheet electron beams with periodic cusped magnetic focusing[J]. J Appl Phys, 1993, 73(9): 4140-4144. [13] WANG Z L, GONG Y B, WEI Y Y. The conditions for stable sheet electron beams transport in periodic permanent magnet fields[J]. Journal of Infrared, Millimeter and Terahertz Waves, 2010, 31(6): 649-658. [14] BOOSKE J H. Plasma physics and related challenges of millimeter-wave to terahertz and high powe microwave generation[J]. Physics of Plasmas, 2008(15): 055502- 055506 [15] 肖仁珍, 腾雁, 宋志敏, 等. 速调型相对论反波管理论研究[J]. 强激光与粒子束, 2012, 24(3): 747-751. [16] 刘盛纲. 太赫兹科学技术的发展[J]. 中国基础科学, 2006, 8(1): 7-12. [17] 刘慧杰, 罗诗裕, 邵明珠. 高频电压调制对同步运动的影响[J]. 原子核物理评论, 2011, 28(2): 191-195. [18] 张梅, 罗晓华, 邵明珠, 等. 晶体摆动场的辐射衰减与能量增益[J]. 发光学报, 2010, 31(3): 454-458. [19] NAYFEH A H. Introduction to peturbation techniques[M]. New York: John Wiley & Sons, 1981. [20] LUO Xiao-hua, HE Wei, SHAO Ming-zhu, et al. Crystalline undulator radiation and possibility as short wavelength laser[J]. Chin Phys B, 2013, 22(6): 064210-1-4. [21] 罗晓华, 罗诗裕. 三束储存与电子同步运动的动力学稳定性[J]. 中国科学: 物理学, 力学和天文学, 2014, 44(2): 169-175. [22] NAYFEH A H, MOOK D T. Nonlinear oscillations[M]. New York: John Wiley & Sons, 1979. [23] 罗晓华. Schrodinger方程的一般解与超晶格多量子阱的电子跃迁[J]. 物理学报, 2014, 63(1): 017302-017306.
点击查看大图
计量
- 文章访问数: 5184
- HTML全文浏览量: 124
- PDF下载量: 110
- 被引次数: 0