Influence of polarization of laser beam on solitary wave in magnetized plasma
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摘要: 强激光与等离子体之间相互作用，能够产生各种参量不稳定性过程和非线性效应。利用Karpman方法推导出横场包络所满足的非线性控制性方程，在一维情况下，获得孤波解。对孤波解进行分析，发现波包孤子的半宽反比于振幅；分析磁化等离子体中各参量对孤波半宽的影响。结果表明，在右旋圆偏振激光情况下，随着电子数密度的增大，孤波的半宽逐渐减小，而当磁场强度增大时，孤波的半宽逐渐增大；在左旋圆偏振激光情况下，随着电子数密度的增大，孤波的半宽逐渐增大，而当磁场强度增大时，孤波的半宽逐渐减小。Abstract: The interaction between intense laser and plasma can produce various parametric instability processes and nonlinear effects. In this paper, the nonlinear equation satisfied by the transverse field envelope is derived by Karpman method, and the solitary wave solution is obtained in one-dimensional case. It is found that the half width of the solitary wave is inversely proportional to the amplitude of the laser beam. The influence of various parameters in magnetized plasma on the half width of the solitary wave is analyzed. The results show that for the case of right-hand circularly polarized laser, the half width of soliton decreases with the increase of electron number density, and increases with the increase of magnetic field intensity. In the case of left-hand circularly polarized laser, the half width of soliton increases with the increase of electron number density, and decreases with the increase of magnetic field intensity.
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图 1 当P=0.271时，孤波半宽随电子数密度的变化
Figure 1. Variation of solitary wave half width with electron number density at P = 0.271
图 2 当P=0.857时，孤波半宽随电子数密度的变化
Figure 2. Variation of solitary wave half width with electron number density at P = 0.857
图 3 当P=0.271时，孤波半宽随磁场强度的变化
Figure 3. Variation of solitary wave half width with magnetic field intensity at P = 0.271
图 4 当P=0.857时，孤波半宽随磁场强度的变化
Figure 4. Variation of solitary wave half width with magnetic field intensity at P = 0.857
图 5 当P =0.271时，孤波半宽随电子数密度的变化
Figure 5. Variation of solitary wave half width with electron number density at P = 0.271
图 6 当P=0.857时，孤波半宽随电子数密度的变化
Figure 6. Variation of solitary wave half width with electron number density at P=0.857
图 7 当P=0.271时，孤波半宽随磁场强度的变化
Figure 7. Variation of solitary wave half width with magnetic field intensity at P=0.271
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[1] 冷雨欣. 上海超强超短激光实验装置[J]. 中国激光, 2019, 46:0100001. (Leng Yuxin. Shanghai superintense ultrafast laser facility[J]. Chinese Journal of Lasers, 2019, 46: 0100001 doi: 10.3788/CJL201946.0100001 [2] 陈华英. 强激光在磁化等离子体中调制不稳定性及坍塌研究[D]. 南昌: 南昌大学, 2011: 8-13Chen Huaying. Study on modulation instability and collapse of intense laser beam in magnetized plasma[D]. Nanchang: Nanchang University, 2011: 8-13 [3] 毕碧, 周维民, 单连强, 等. 皮秒短脉冲X射线背光诊断快点火靶丸压缩面密度[J]. 强激光与粒子束, 2020, 32:042001. (Bi Bi, Zhou Weimin, Shan Lianqiang, et al. Density diagnosis based on ps-duration-pulse X-ray backlighting for fast ignition compression[J]. High Power Laser and Particle Beams, 2020, 32: 042001 doi: 10.11884/HPLPB202032.200050 [4] 单连强, 吴凤娟, 袁宗强, 等. 激光惯性约束聚变动理学效应研究进展[J]. 强激光与粒子束, 2021, 33:012004. (Shan Lianqiang, Wu Fengjuan, Yuan Zongqiang, et al. Research progress of kinetic effects in laser inertial confinement fusion[J]. High Power Laser and Particle Beams, 2021, 33: 012004 doi: 10.11884/HPLPB202133.200235 [5] 徐新荣, 仲丛林, 张铱, 等. 强激光等离子体相互作用驱动高次谐波与阿秒辐射研究进展[J]. 物理学报, 2021, 70:084206. (Xu Xinrong, Zhong Conglin, Zhang Yi, et al. Research progress of high-order harmonics and attosecond radiation driven by interaction between intense lasers and plasma[J]. Acta Physica Sinica, 2021, 70: 084206 [6] 沈百飞, 吉亮亮, 张晓梅, 等. 强场X射线激光物理[J]. 物理学报, 2021, 70:084101. (Shen Baifei, Ji Liangliang, Zhang Xiaomei, et al. High field X-ray laser physics[J]. Acta Physica Sinica, 2021, 70: 084101 doi: 10.7498/aps.70.20210096 [7] 余诗瀚, 李晓锋, 翁苏明, 等. 激光等离子体不稳定性及其抑制方案研究[J]. 强激光与粒子束, 2021, 33:012006. (Yu Shihan, Li Xiaofeng, Weng Suming, et al. Laser plasma instabilities and their suppression strategies[J]. High Power Laser and Particle Beams, 2021, 33: 012006 doi: 10.11884/HPLPB202133.200125 [8] 刘明萍, 柳剑鹏, 罗荣祥, 等. 强激光脉冲在部分离化等离子体中的传播特性[J]. 强激光与粒子束, 2014, 26:072006. (Liu Mingping, Liu Jianpeng, Luo Rongxiang, et al. Propagation properties of an intense laser pulse in partially stripped plasma[J]. High Power Laser and Particle Beams, 2014, 26: 072006 doi: 10.11884/HPLPB201426.072006 [9] 崔少燕, 吕欣欣, 辛杰. 广义非线性薛定谔方程描述的波坍缩及其演变[J]. 物理学报, 2016, 65:040201. (Cui Shaoyan, Lü Xinxin, Xin Jie. Collapse and evolution of wave field based on a generalized nonlinear Schrödinger equation[J]. Acta Physica Sinica, 2016, 65: 040201 doi: 10.7498/aps.65.040201 [10] 刘笑兰, 李晓卿. 超强激光等离子体中的相对论性朗缪尔孤子[J]. 激光技术, 2013, 37(5):627-630. (Liu Xiaolan, Li Xiaoqing. Relativistic Langmuir solitons in ultrapowerful laser plasma[J]. Laser Technology, 2013, 37(5): 627-630 doi: 10.7510/jgjs.issn.1001-3806.2013.05.014 [11] Dewan H, Uma R, Sharma R P. Generation of kinetic Alfvén wave and whistler waves by parametric decay of high power laser in laser–plasma interaction[J]. Physics of Plasmas, 2020, 27: 032111. doi: 10.1063/1.5139302 [12] Wu Dong, Yu W, Fritzsche S, et al. Formation of relativistic electromagnetic solitons in over-dense plasmas[J]. Physics of Plasmas, 2019, 27: 063107. [13] Korobkin V V, Serov R V. Investigation of the magnetic field of a spark produced by focusing laser radiation[J]. Journal of Experimental and Theoretical Physics Letters, 1966, 4: 70-72. [14] Liu Shanqiu, Li Xiaoqing. Self-generated magnetic field by transverse plasmons in laser-produced plasma[J]. Physics of Plasmas, 2000, 7(8): 3405-3412. doi: 10.1063/1.874204 [15] Rao N N, Shukla P K, Yu M Y. Strong electromagnetic pulses in magnetized plasmas[J]. The Physics of Fluids, 1984, 27(11): 2664-2668. doi: 10.1063/1.864568 [16] Zank G P, Greaves R G. Linear and nonlinear modes in nonrelativistic electron-positron plasmas[J]. Physical Review E, 1995, 51(6): 6079-6090. doi: 10.1103/PhysRevE.51.6079 [17] Jha P, Kumar P, Raj G, et al. Modulation instability of laser pulse in magnetized plasma[J]. Physics of Plasmas, 2005, 12: 123104. doi: 10.1063/1.2141399 [18] Mushtaq A, Saeed R, Haque Q, et al. Ion acoustic solitary waves in magnetized pair-ion electron plasmas[J]. Physics of Plasmas, 2009, 16: 084501. doi: 10.1063/1.3206659 [19] Shen Baifei, Yu M Y, Li Ruxin. Ultrashort relativistic electromagnetic solitons[J]. Physical Review E, 2004, 70: 036403. doi: 10.1103/PhysRevE.70.036403 [20] Chen Huaying, Liu Sanqiu, Li Xiaoqing. Modulation instability by intense laser beam in magnetized plasma[J]. Optik, 2011, 122(7): 599-603. doi: 10.1016/j.ijleo.2010.04.019 [21] 阮诗森. 磁化等离子体中非线性波特性的研究[D]. 武汉: 华中科技大学, 2014: 12-14Ruan Shisen. Investigation on the properties of nonlinear waves in magnetized plasmas[D]. Wuhan: Huazhong University of Science and Technology, 2014: 12-14 [22] Weng Suming, Zhao Qian, Sheng Zhengming, et al. Extreme case of Faraday effect: magnetic splitting of ultrashort laser pulses in plasmas[J]. Optica, 2017, 4(9): 1086-1091. doi: 10.1364/OPTICA.4.001086 [23] Zheng Xiaolong, Weng Suming, Zhang Zhe, et al. Simultaneous polarization transformation and amplification of multi-petawatt laser pulses in magnetized plasmas[J]. Optics Express, 2019, 27(14): 19319-19330. doi: 10.1364/OE.27.019319 [24] Karpman V I, Krushkal E M. Modulated waves in nonlinear dispersive media[J]. Soviet Physics JETP, 1969, 28(2): 277-281. -
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