Proton imaging of relativistic laser-produced near-critical-density plasma

Li Yao-Jun; Yue Dong-Ning; Deng Yan-Qing; Zhao Xu; Wei Wen-Qing; Ge Xu-Lei; Yuan Xiao-Hui; Liu Feng; Chen Li-Ming

doi:10.7498/aps.68.20190610

Abstract

When ultrashort pulse laser interacts with near-critical-density plasma, extremely strong transient electromagnetic field will generate a great variety of nonlinear phenomena, such as efficient pulse absorption, magnetic self-channeling, nonlinear coherent structure, and electron and ion acceleration. It is of great significance to make a profound study of these physical processes for studying the laser-plasma interaction. Here in this work, we investigate the near-critical-density plasma structure and its temporal evolution by using proton radiography. The plasma is generated by the interaction of ultra-intense femtosecond laser (I $\sim $ 3.6 × 10¹⁸ W/cm²) with high-density gas-jet target, which can produce plasma with electron density n_e $ \sim$ 0.7n_c (here, n_c is the near-critical-density) for 800 nm laser. The proton beam is produced by the interaction of another ultra-intense femtosecond laser with stainless steel foil target. In the experiment, the proton beam is split into two asymmetric spots. On the one hand, the distance between two spots first increases rapidly and decreases slowly as time goes by. On the other hand, the size of proton beam spot on the right side is obviously lager than the one on the left side. The modification of proton beam profile indicates that a transient electric field with a maximum amplitude of 10⁹ V/m is produced when ultrashort laser pulse interacts with the plasma. Besides, the electric field in the direction of laser propagation axis is stronger than that in the opposite direction. When the proton beam goes through the laser-plasma interaction area, most of the protons enter into the electric field in the direction of laser propagation axis, only a small number of protons enter into the electric field in the opposite direction, resulting in the fact that the proton beam is split into two asymmetric spots. The space-charge field in the plasma is induced by the laser ponderomotive force which expels the electrons piled up into a step-like profile. This field can be sustained for a long time, as the ions expand slowly because of the coulomb repulsion between ions, and the hot electrons continue to move forward with energy of a few MeV. At the end, these expanded ions gradually recombine with the reflowed electrons, causing the space-charge field to weaken until it disappears eventually. As a result, the deflection of the proton beam by the electric field in the plasma is also weakened, so the distance between proton beam splitting spots is correspondingly reduced. The hypothesis is justified by the particle-in-cell simulations. The results may have important implications in laser wake-field electron acceleration, ion acceleration and fast ignition scheme to inertial confinement fusion.

Keywords:

Authors and contacts

1.
Key Laboratory for Laser Plasmas (MoE), School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China
2.
IFSA Collaborative Innovation Center, Shanghai Jiao Tong University, Shanghai 200240, China
3.
Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China

Corresponding author: Yuan Xiao-Hui, xiaohui.yuan@sjtu.edu.cn ; Chen Li-Ming, lmchen@iphy.ac.cn

Funds: Project supported by the Class A Strategic Pilot Science and Technology Project of Chinese Academy of Sciences (Grant No. XDA17040504).

FullText HTML : translate this paragraph

References

[1]	Wilks S C, Kruer W, Tabak M, Langdon A 1992 Phys. Rev. Lett. 69 1383 Google Scholar
[2]	Pukhov A, Meyer-ter-Vehn J 1996 Phys. Rev. Lett. 76 3975 Google Scholar
[3]	Bulanov S V, Lontano M, Esirkepov T, Pegoraro F, Pukhov A 1996 Phys. Rev. Lett. 76 3562 Google Scholar
[4]	Bulanov S V, Esirkepov T, Naumova N, Pegoraro F, Vshivkov V 1999 Phys. Rev. Lett. 82 3440 Google Scholar
[5]	Esirkepov T, Nishihara K, Bulanov S, Pegoraro F 2002 Phys. Rev. Lett. 89 275002 Google Scholar
[6]	Mori W B, Joshi C, Dawson J, Forslund D, Kindel J 1988 Phys. Rev. Lett. 60 1298 Google Scholar
[7]	Li G, Yan R, Ren C, Wang T L, Tonge J, Mori W 2008 Phys. Rev. Lett. 100 125002 Google Scholar
[8]	Nakamura T, Mima K 2008 Phys. Rev. Lett. 100 205006 Google Scholar
[9]	Shaw J L, Lemos N, Amorim L D, Vafaeinajafabadi N, Marsh K A, Tsung F S 2017 Phys. Rev. Lett. 118 064801 Google Scholar
[10]	王剑, 蔡达锋, 赵宗清, 谷渝秋 2017 物理学报 66 075203 Google Scholar Wang J, Cai D F, Zhao Z Q, Gu Y Q 2017 Acta Phys. Sin. 66 075203 Google Scholar
[11]	Nakamura T, Bulanov S, Esirkepov T, Kando M 2010 Phys. Rev. Lett. 105 135002 Google Scholar
[12]	Bulanov S V, Esirkepov T Z, Khoroshkov V S, Kunetsov A V, Pegoraro F 2002 Phys. Lett. A 299 240 Google Scholar
[13]	师绍猛, 陈荣昌, 薛艳玲, 任玉琦, 杜国浩, 邓彪, 谢红兰, 肖体乔 2008 物理学报 57 6319 Google Scholar Shi S M, Chen R C, Xue Y L, Ren Y Q, Du G H, Deng B, Xie H L, Xiao T Q 2008 Acta Phys. Sin. 57 6319 Google Scholar
[14]	Borghesi M, Schiavi A, Campbell D H, Haines M G, Willi O, MacKinnon A J, Gizzi L A, Galimberti M, Clarke R J, Ruhl H 2001 Plasma Phys. Controlled Fusion 43 A267
[15]	Borghesi M, Sarri G, Cecchetti C A, Kourakis I, Hoarty D, Stevenson R M, James S, Brown C D, Hobbs P, Lockyear J, Morton J, Willi O, Jung R, Dieckmann M E 2010 Laser Part. Beams 28 277 Google Scholar
[16]	Borghesi M, MacKinnon A, Barringer L, Gaillard R, Gizzi L, Meyer C, Willi O, Pukhov A, Meyer-ter-Vehn J 1997 Phys. Rev. Lett. 78 879 Google Scholar
[17]	Yogo A, Daido H, Bulanov S V, Nemoto K, Oishi Y, Nayuki T, Fujii T, Ogura K, Orimo S, Sagisaka A, Ma J L, Esirkepov T Zh, Mori M, Nishiuchi M, Pirozhkov A S, Nakamura S, Noda A, Nagatomo H, Kimura T, Tajima T 2008 Phys. Rev. E 77 016401 Google Scholar
[18]	Willingale L, Nagel S R, Thomas A G, Bellei C, Clarke R J, Dangor A E, Heathcote R, Kaluza M C, Kamperidis C, Kneip S, Krushelnick K, Lopes N, Mangles S P, Nazarov W, Nilson P M, Najmudin Z 2009 Phys. Rev. Lett. 102 125002 Google Scholar
[19]	Okihara S, Esirkepov T Zh, Nagai K, Shimizu S, Sato F, Hashida M, Iida T, Nishihara K, Norimatsu T, Izawa Y, Sakabe S 2004 Phys. Rev. E 69 026401 Google Scholar
[20]	Palmer C A, Dover N P, Pogorelsky I, Babzien M, Dudnikova G I, Ispiriyan M, Polyanskiy M N, Schreiber J, Shkolnikov P, Yakimenko V, Najmudin Z 2011 Phys. Rev. Lett. 106 014801 Google Scholar
[21]	Haberberger D, Tochitsky S, Fiuza F, Gong C, Fonseca R A, Silva L O, Mori W B, Joshi C 2012 Nat. Phys. 8 95
[22]	Sylla F, Flacco A, Kahaly S, Veltcheva M, Lifschitz A, Malka V, d'Humières E, Andriyash I, Tikhonchuk V 2013 Phys. Rev. Lett. 110 085001 Google Scholar
[23]	Chen S N, Vranic M, Gangolf T, Boella E, Antici P, Bailly-Grandvaux M, Loiseau P, Pepin H, Revet G, Santos J J, Schroer A M, Starodubtsev M, Willi O, Silva L O, d'Humieres E, Fuchs J 2017 Sci. Rep. 7 13505 Google Scholar
[24]	Mackinnon A J, Patel P K, Town R P, Edwards M J, Phillips T, Lerner S C, Price D W, Hicks D, Key M H, Hatchett S 2004 Rev. Sci. Instrum. 75 3531 Google Scholar
[25]	Romagnani L, Borghesi M, Cecchetti C A, Kar S, Antici P, Audebert P, Bandhoupadjay S, Ceccherini F, Cowan T, Fuchs J 2008 Laser Part. Beams 26 241 Google Scholar
[26]	Romagnani L, Bulanov S V, Borghesi M, Audebert P, Gauthier J C, Löwenbruck K, Mackinnon A J, Patel P, Pretzler G, Toncian T, Willi O 2008 Phys. Rev. Lett. 101 025004 Google Scholar
[27]	Li C K, Séguin F H, Frenje J A, Manuel M, Casey D, Sinenian N, Petrasso R D, Amendt P A, Landen O L, Rygg J R, Town R P J, Betti R, Delettrez J, Knauer J P, Marshall F, Meyerhofer D D, Sangster T C, Shvarts D, Smalyuk V A, Soures J M, Back C A, Kilkenny J D, Nikroo A 2009 Phys. Plasmas 16 056304 Google Scholar
[28]	Borghesi M, Mackinnon A J, Gaillard R, Willi O, Pukhov A, Meyer-ter-Vehn J 1998 Phys. Rev. Lett. 80 5137 Google Scholar
[29]	Smyth A G, Sarri G, Vranic M, Amano Y, Doria D, Guillaume E, Habara H, Heathcote R, Hicks G, Najmudin Z, Nakamura H, Norreys P A, Kar S, Silva L O, Tanaka K A, Vieira J, Borghesi M 2016 Phys. Plasmas 23 063121 Google Scholar
[30]	Li C K, Seguin F H, Frenje J A, Rygg J R, Petrasso R D, Town R P, Amendt P A, Hatchett S P, Landen O L, Mackinnon A J, Patel P K, Smalyuk V A, Sangster T C, Knauer J P 2006 Phys. Rev. Lett. 97 135003 Google Scholar
[31]	Li G, Li S, Ain Q, Gao K, Mirzaie M, Hafz N A M 2019 Phys. Plasmas 26 022306 Google Scholar
[32]	Fonseca R A, Silva L O, Tsung F S, Decyk V K, Lu W, Ren C 2002 Lect. Notes Comput. Sci. 2331 342 Google Scholar

Cited By

图 1 (a)实验布局图; (b)距离喷口不同高度时的气体密度分布图

Figure 1. (a) Experimental setup; (b) gas density lineout profile at different heights.

DownLoad: Full-Size Img PowerPoint

图 2 光学探针与质子探针结果(激光自左向右入射)　(a)光学阴影成像; (b)原始质子束斑; (c)打靶3.3 ps后的质子束斑; (d)打靶43.3 ps后的质子束斑; (e)−(g)打靶高度处对应的质子强度图(黄线)

Figure 2. Raw images of optical probe and proton probe: (a) Optical probe result; proton beam spot for (b) no gas, (c) 3.3 ps after interaction, (d) 43.3 ps after interaction; (e)−(g) the corresponding lineout intensity profiles.

DownLoad: Full-Size Img PowerPoint

图 3 质子束被等离子体电磁场偏折示意图

Figure 3. Schematic of proton beam deflected by plasma electromagnetic field.

DownLoad: Full-Size Img PowerPoint

图 4 等离子体内部电场大小随时间的变化

Figure 4. Internal electric field size of the plasma changes with time.

DownLoad: Full-Size Img PowerPoint

图 5 等离子体内部电场分布模型

Figure 5. Model of plasma internal electric field distribution.

DownLoad: Full-Size Img PowerPoint

图 6 不同密度等离子体中不同时刻的时间平均的纵向电场强度和电势分布　(a)−(c)最高密度为0.8 × 10²¹ cm^–3; (d)−(f)最高密度为1.2 × 10²¹ cm^–3; (g)−(i)最高密度为1.2 × 10²¹ cm^–3

Figure 6. Averaged longitudinal electric field and potential distributions with times of plasma with different density: (a)−(c) The highest plasma density is 0.8 × 10²¹ cm^–3; (d)−(f) the highest plasma density is 1.0 × 10²¹ cm^–3; (g)−(i) the highest plasma density is 1.2 × 10²¹ cm^–3.

DownLoad: Full-Size Img PowerPoint

[1]	Wilks S C, Kruer W, Tabak M, Langdon A 1992 Phys. Rev. Lett. 69 1383 Google Scholar
[2]	Pukhov A, Meyer-ter-Vehn J 1996 Phys. Rev. Lett. 76 3975 Google Scholar
[3]	Bulanov S V, Lontano M, Esirkepov T, Pegoraro F, Pukhov A 1996 Phys. Rev. Lett. 76 3562 Google Scholar
[4]	Bulanov S V, Esirkepov T, Naumova N, Pegoraro F, Vshivkov V 1999 Phys. Rev. Lett. 82 3440 Google Scholar
[5]	Esirkepov T, Nishihara K, Bulanov S, Pegoraro F 2002 Phys. Rev. Lett. 89 275002 Google Scholar
[6]	Mori W B, Joshi C, Dawson J, Forslund D, Kindel J 1988 Phys. Rev. Lett. 60 1298 Google Scholar
[7]	Li G, Yan R, Ren C, Wang T L, Tonge J, Mori W 2008 Phys. Rev. Lett. 100 125002 Google Scholar
[8]	Nakamura T, Mima K 2008 Phys. Rev. Lett. 100 205006 Google Scholar
[9]	Shaw J L, Lemos N, Amorim L D, Vafaeinajafabadi N, Marsh K A, Tsung F S 2017 Phys. Rev. Lett. 118 064801 Google Scholar
[10]	王剑, 蔡达锋, 赵宗清, 谷渝秋 2017 物理学报 66 075203 Google Scholar Wang J, Cai D F, Zhao Z Q, Gu Y Q 2017 Acta Phys. Sin. 66 075203 Google Scholar
[11]	Nakamura T, Bulanov S, Esirkepov T, Kando M 2010 Phys. Rev. Lett. 105 135002 Google Scholar
[12]	Bulanov S V, Esirkepov T Z, Khoroshkov V S, Kunetsov A V, Pegoraro F 2002 Phys. Lett. A 299 240 Google Scholar
[13]	师绍猛, 陈荣昌, 薛艳玲, 任玉琦, 杜国浩, 邓彪, 谢红兰, 肖体乔 2008 物理学报 57 6319 Google Scholar Shi S M, Chen R C, Xue Y L, Ren Y Q, Du G H, Deng B, Xie H L, Xiao T Q 2008 Acta Phys. Sin. 57 6319 Google Scholar
[14]	Borghesi M, Schiavi A, Campbell D H, Haines M G, Willi O, MacKinnon A J, Gizzi L A, Galimberti M, Clarke R J, Ruhl H 2001 Plasma Phys. Controlled Fusion 43 A267
[15]	Borghesi M, Sarri G, Cecchetti C A, Kourakis I, Hoarty D, Stevenson R M, James S, Brown C D, Hobbs P, Lockyear J, Morton J, Willi O, Jung R, Dieckmann M E 2010 Laser Part. Beams 28 277 Google Scholar
[16]	Borghesi M, MacKinnon A, Barringer L, Gaillard R, Gizzi L, Meyer C, Willi O, Pukhov A, Meyer-ter-Vehn J 1997 Phys. Rev. Lett. 78 879 Google Scholar
[17]	Yogo A, Daido H, Bulanov S V, Nemoto K, Oishi Y, Nayuki T, Fujii T, Ogura K, Orimo S, Sagisaka A, Ma J L, Esirkepov T Zh, Mori M, Nishiuchi M, Pirozhkov A S, Nakamura S, Noda A, Nagatomo H, Kimura T, Tajima T 2008 Phys. Rev. E 77 016401 Google Scholar
[18]	Willingale L, Nagel S R, Thomas A G, Bellei C, Clarke R J, Dangor A E, Heathcote R, Kaluza M C, Kamperidis C, Kneip S, Krushelnick K, Lopes N, Mangles S P, Nazarov W, Nilson P M, Najmudin Z 2009 Phys. Rev. Lett. 102 125002 Google Scholar
[19]	Okihara S, Esirkepov T Zh, Nagai K, Shimizu S, Sato F, Hashida M, Iida T, Nishihara K, Norimatsu T, Izawa Y, Sakabe S 2004 Phys. Rev. E 69 026401 Google Scholar
[20]	Palmer C A, Dover N P, Pogorelsky I, Babzien M, Dudnikova G I, Ispiriyan M, Polyanskiy M N, Schreiber J, Shkolnikov P, Yakimenko V, Najmudin Z 2011 Phys. Rev. Lett. 106 014801 Google Scholar
[21]	Haberberger D, Tochitsky S, Fiuza F, Gong C, Fonseca R A, Silva L O, Mori W B, Joshi C 2012 Nat. Phys. 8 95
[22]	Sylla F, Flacco A, Kahaly S, Veltcheva M, Lifschitz A, Malka V, d'Humières E, Andriyash I, Tikhonchuk V 2013 Phys. Rev. Lett. 110 085001 Google Scholar
[23]	Chen S N, Vranic M, Gangolf T, Boella E, Antici P, Bailly-Grandvaux M, Loiseau P, Pepin H, Revet G, Santos J J, Schroer A M, Starodubtsev M, Willi O, Silva L O, d'Humieres E, Fuchs J 2017 Sci. Rep. 7 13505 Google Scholar
[24]	Mackinnon A J, Patel P K, Town R P, Edwards M J, Phillips T, Lerner S C, Price D W, Hicks D, Key M H, Hatchett S 2004 Rev. Sci. Instrum. 75 3531 Google Scholar
[25]	Romagnani L, Borghesi M, Cecchetti C A, Kar S, Antici P, Audebert P, Bandhoupadjay S, Ceccherini F, Cowan T, Fuchs J 2008 Laser Part. Beams 26 241 Google Scholar
[26]	Romagnani L, Bulanov S V, Borghesi M, Audebert P, Gauthier J C, Löwenbruck K, Mackinnon A J, Patel P, Pretzler G, Toncian T, Willi O 2008 Phys. Rev. Lett. 101 025004 Google Scholar
[27]	Li C K, Séguin F H, Frenje J A, Manuel M, Casey D, Sinenian N, Petrasso R D, Amendt P A, Landen O L, Rygg J R, Town R P J, Betti R, Delettrez J, Knauer J P, Marshall F, Meyerhofer D D, Sangster T C, Shvarts D, Smalyuk V A, Soures J M, Back C A, Kilkenny J D, Nikroo A 2009 Phys. Plasmas 16 056304 Google Scholar
[28]	Borghesi M, Mackinnon A J, Gaillard R, Willi O, Pukhov A, Meyer-ter-Vehn J 1998 Phys. Rev. Lett. 80 5137 Google Scholar
[29]	Smyth A G, Sarri G, Vranic M, Amano Y, Doria D, Guillaume E, Habara H, Heathcote R, Hicks G, Najmudin Z, Nakamura H, Norreys P A, Kar S, Silva L O, Tanaka K A, Vieira J, Borghesi M 2016 Phys. Plasmas 23 063121 Google Scholar
[30]	Li C K, Seguin F H, Frenje J A, Rygg J R, Petrasso R D, Town R P, Amendt P A, Hatchett S P, Landen O L, Mackinnon A J, Patel P K, Smalyuk V A, Sangster T C, Knauer J P 2006 Phys. Rev. Lett. 97 135003 Google Scholar
[31]	Li G, Li S, Ain Q, Gao K, Mirzaie M, Hafz N A M 2019 Phys. Plasmas 26 022306 Google Scholar
[32]	Fonseca R A, Silva L O, Tsung F S, Decyk V K, Lu W, Ren C 2002 Lect. Notes Comput. Sci. 2331 342 Google Scholar

[1]	Yang Wen-Yuan, Dong Ye, Sun Hui-Fang, Yang Yu-Lin, Dong Zhi-Wei. Physical analysis and numerical simulations of ultra wideband plasma relativistic microwave noise amplifier. Acta Physica Sinica, 2023, 72(5): 058401. doi: 10.7498/aps.72.20222061
[2]	Wang Yuan-Yuan, Wang Xian-Zhi, Song Jia-Jun, Zhang Xu, Wang Zhao-Hua, Wei Zhi-Yi. Amplification mechanism in stimulated Raman backward scattering of ultraintense laser in uniform plasma. Acta Physica Sinica, 2022, 71(5): 055202. doi: 10.7498/aps.71.20211270
[3]	Xu Xin-Rong, Zhong Cong-Lin, Zhang Yi, Liu Feng, Wang Shao-Yi, Tan Fang, Zhang Yu-Xue, Zhou Wei-Min, Qiao Bin. Research progress of high-order harmonics and attosecond radiation driven by interaction between intense lasers and plasma. Acta Physica Sinica, 2021, 70(8): 084206. doi: 10.7498/aps.70.20210339
[4]	Zhao Chong-Xiao, Qi Liang-Wen, Yan Hui-Jie, Wang Ting-Ting, Ren Chun-Sheng. Influence of discharge parameters on pulsed discharge of coaxial gun in deflagration mode. Acta Physica Sinica, 2019, 68(10): 105203. doi: 10.7498/aps.68.20190218
[5]	Wang Jian, Cai Da-Feng, Zhao Zong-Qing, Gu Yu-Qiu. High energetic electron bunches from lasernear critical density layer interaction. Acta Physica Sinica, 2017, 66(7): 075203. doi: 10.7498/aps.66.075203
[6]	Liu Ming-Wei, Gong Shun-Feng, Li Jin, Jiang Chun-Lei, Zhang Yu-Tao, Zhou Bing-Ju. Non-resonant direct laser acceleration in underdense plasma channels. Acta Physica Sinica, 2015, 64(14): 145201. doi: 10.7498/aps.64.145201
[7]	Li Shi-Chun, Chen Gen-Yu, Zhou Cong, Chen Xiao-Feng, Zhou Yu. Plasma inside and outside keyhole during 10 kW level fiber laser welding. Acta Physica Sinica, 2014, 63(10): 104212. doi: 10.7498/aps.63.104212
[8]	Liu Yu-Feng, Ding Yan-Jun, Peng Zhi-Min, Huang Yu, Du Yan-Jun. Spectroscopic study on the time evolution behaviors of the laser-induced breakdown air plasma. Acta Physica Sinica, 2014, 63(20): 205205. doi: 10.7498/aps.63.205205
[9]	Liu Yue-Hua, Chen Ming, Liu Xiang-Dong, Cui Qing-Qiang, Zhao Ming-Wen. The mechanism of effect of lens-to-sample distance on laser-induced plasma. Acta Physica Sinica, 2013, 62(2): 025203. doi: 10.7498/aps.62.025203
[10]	Wang Yu, Chen Zai-Gao, Lei Yi-An. Simulation of 0.14 THz relativistic backward-wave oscillator filled with plasma. Acta Physica Sinica, 2013, 62(12): 125204. doi: 10.7498/aps.62.125204
[11]	Li Shi-Xiong, Bai Zhong-Chen, Huang Zheng, Zhang Xin, Qin Shui-Jie, Mao Wen-Xue. Study on the machining mechanism of fabrication of micro channels in fused silica substrates by laser-induced plasma. Acta Physica Sinica, 2012, 61(11): 115201. doi: 10.7498/aps.61.115201
[12]	Gao Xun, Song Xiao-Wei, Guo Kai-Min, Tao Hai-Yan, Lin Jing-Quan. Optical emission spectra of Si plasma induced by femtosecond laser pulse. Acta Physica Sinica, 2011, 60(2): 025203. doi: 10.7498/aps.60.025203
[13]	Xia Zhi-Lin, Guo Pei-Tao, Xue Yi-Yu, Huang Cai-Hua, Li Zhan-Wang. Investigation of the plasma bursting process in short pulsed laser induced film damage. Acta Physica Sinica, 2010, 59(5): 3523-3530. doi: 10.7498/aps.59.3523
[14]	Wu Di, Gong Ye, Liu Jin-Yuan, Wang Xiao-Gang, Liu Yue, Ma Teng-Cai. Numerical research on intense pulsed ion beam ablation plasma expansion into ambient gases. Acta Physica Sinica, 2007, 56(1): 333-337. doi: 10.7498/aps.56.333
[15]	. Splitting of ultrashort laser pulses propagating in plasmas and the generation of soliton-like structures. Acta Physica Sinica, 2007, 56(12): 7106-7113. doi: 10.7498/aps.56.7106
[16]	Tang Chang-Jian, Gong Yu-Bin, Yang Yu-Zhi. Dielectric tensor of 2D relativistic motional plasma. Acta Physica Sinica, 2004, 53(4): 1145-1149. doi: 10.7498/aps.53.1145
[17]	Zhang Qiu-Ju, Sheng Zheng-Ming, Zhang Jie. Solitons formed by ultrashort laser pulses propagating in a plasma. Acta Physica Sinica, 2004, 53(3): 798-802. doi: 10.7498/aps.53.798
[18]	Zhang Duan-Ming, Guan Li, Li Zhi-Hua, Zhong Zhi-Cheng, Hou Si-Pu, Yang Feng-Xia, Zheng Ke-Yu. Study on the evolvement of plasma generated by pulsed laser deposition of thin film. Acta Physica Sinica, 2003, 52(1): 242-246. doi: 10.7498/aps.52.242
[19]	Fu Xi-Quan, Liu Cheng-Yi, Guo Hong. . Acta Physica Sinica, 2002, 51(6): 1326-1331. doi: 10.7498/aps.51.1326
[20]	HE BIN, CHANG TIE-QIANG, ZHANG JIA-TAI, XU LIN-BAO. INVESTIGATION OF THE LONGITUDINAL MOTION OF ELECTRONS IN THE PLASMAS WITH ULTRA-INTENSE LASER PULSE. Acta Physica Sinica, 2001, 50(10): 1939-1945. doi: 10.7498/aps.50.1939

Catalog

Vol. 68, Issue 15 - 2019-08-05

Metrics

Abstract views: 9664
PDF Downloads: 164
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板