高斯初始能量分布下自由电子激光饱和状态的统计理论求解
[1] Barré J, Dauxois T, De Ninno G, et al. Statistical theory of high-gain free-electron laser saturation[J]. Physical Review E, 2004, 69:045501.
[2] Yamaguchi Y Y, Barré J, Bouchet F, et al. Stability criteria of the Vlasov equation and quasi-stationary states of the HMF model[J]. Physica A: Statistical Mechanics and its Applications, 2004, 337(1/2):36-66.
[3] Barré J, Bouchet F, Dauxois T, et al. The Vlasov equation and the Hamiltonian mean-field model[J]. Physica A: Statistical Mechanics and its Applications, 2006, 365(1):177-183.
[4] Lynden-Bell D. Statistical mechanics of violent relaxation in stellar systems[J]. Journal Name: Mon Notic Roy Astron Soc, 1967, 136:101-21.
[5] Chavanis P H, Sommeria J, Robert R. Statistical mechanics of two-dimensional vortices and collisionless stellar systems[J]. Astrophysical Journal, 1996, 471(1):385-399.
[6] Colson W. Theory of a free electron laser[J]. Physics Letters A, 1976, 59(3):187-190.
[7] Antoniazzi A, Ninno G D, Fanelli D, et al. Wave-particle interaction: from plasma physics to the free-electron laser[J]. Journal of Physics: Conference Series, 2005, 7:143-153.
[8] Antoniazzi A, Elskens Y, Fanelli D, et al. Statistical mechanics and Vlasov equation allow for a simplified Hamiltonian description of single-pass free electron laser saturated dynamics[J]. The European Physical Journal B, 2006, 50(4):603-611.
[9] Gluckstern R L, Krinsky S, Okamoto H. Analysis of the saturation of a high-gain free-electron laser[J]. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics, 1993, 47(6):4412-4429.
[10] 邹冰,李明光,张鹏飞,等.高增益自由电子激光饱和状态分析的一种统计物理方法[J].中国科学技术大学学报, 2010, 40(6):612-617.(Zou bing, Li Mingguang, Zhang Pengfei, et al. A statistical method for analyzing high-gain free-electron laser at saturation. Journal of University of Science an Technology of China, 2010, 40(6):612-617)
[11] 张辉,张鹏飞,李一丁.高增益自由电子激光饱和态分析的三维统计理论[J].强激光与粒子束, 2014, 26:025103.(Zhang Hui, Zhang Pengfei, Li Yiding. Three-dimensional statistical theory for analyzing high-gain free-electron laser at saturation. High Power Laser and Particle Beams, 2014, 26:025103)
张辉, 张鹏飞, 李一丁. 高斯初始能量分布下自由电子激光饱和状态的统计理论求解[J]. 强激光与粒子束, 2014, 26(3): 035101. Zhang Hui, Zhang Pengfei, Li Yiding. Statistical theory of free-electron laser saturation state solution with Gaussian initial distribution[J]. High Power Laser and Particle Beams, 2014, 26(3): 035101.