q-高斯激光束在预等离子体通道中的孤立波
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摘要
利用变分法研究了q-高斯激光束在抛物预等离子体通道中传播的电磁孤立波,并与高斯激光的电磁孤立波进行了对比.结果表明:q-高斯激光束在抛物预等离子体通道中有两种电磁孤立波解,即聚焦电磁孤立波解和散焦电磁孤立波解.在相同的激光振幅和同一等离子体背景下,低q值激光束的聚焦电磁孤立波的振幅较大,数值稳定性较差,而散焦电磁孤立波与之相反.
The electromagnetic solitary waves of q-Gaussian laser beam in a preformed parabolic plasma channel is investigated by means of the variational method.Compared with the electromagnetic solitary waves of Gaussian laser beam,the results show that there exist two kinds of electromagnetic solitary solutions for q-Gaussian laser beam in a preformed plasma channel,i.e.,the focusing and the defocusing electromagnetic solitary wave solutions.In the same laser amplitude and plasma background,the laser beam with lower q has a larger amplitude and a poorer numerical stability for the focusing electromagnetic solitary waves.However,for the defocusing solitary waves,the results are just opposite.
The electromagnetic solitary waves of q-Gaussian laser beam in a preformed parabolic plasma channel is investigated by means of the variational method.Compared with the electromagnetic solitary waves of Gaussian laser beam,the results show that there exist two kinds of electromagnetic solitary solutions for q-Gaussian laser beam in a preformed plasma channel,i.e.,the focusing and the defocusing electromagnetic solitary wave solutions.In the same laser amplitude and plasma background,the laser beam with lower q has a larger amplitude and a poorer numerical stability for the focusing electromagnetic solitary waves.However,for the defocusing solitary waves,the results are just opposite.
引文
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[2]ESREY E,SCHROEDER C B,LEEMANS W P.Physics of laser-driven plasma-based electron accelerators[J].Rev Mod Phys,2009,81(3):1229.
[3]HOU Y J,WAN F,SANG H B,et al.Positron acceleration in plasma bubble wakefield driven by an ultraintense laser[J].Phys Plasmas,2016,23(1):013105.1.
[4]HONG X R,XIE B S,ZHANG S,et al.High quality ion acceleration from a double-layer target dominated by the radiation pressure of a transversely Gaussian laser pulse[J].Phys Plasmas,2010,17(10):103107.1.
[5]LUAN S X,YU W,YU M Y,et al.Target normal sheath acceleration of foil ions by lasertrapped hot electrons from a long subcritical-density preplasma[J].Phys Plasmas,2014,21(12):123110.1.
[6]EDER D C,AMENDT P,DASILVA L B,et al.Tabletop x-ray lasers[J].Phys Plasmas,1994,1(5):1744.
[7]BENWARE B R,MACCHIETO C D,MORENO C H,et al.Demonstration of a high average power tabletop soft X-ray laser[J].Phys Rev Lett,1998,81(26):5804.
[8]GIBBON P.Harmonic generation by femtosecond laser-solid interaction:A coherent“water-window”light source?[J].Phys Rev Lett,1996,76(1):50.
[9]HAN Y J,LIAO G Q,CHEN L M,et al.Highorder optical vortex harmonics generated by relativistic femtosecond laser pulse[J].Chin Phys B,2015,24(6):065202.1.
[10]TABAK M,HAMMER J,GLINSKY M E,et al.Ignition and high gain with ultrapowerful lasers[J].Phys Plasmas,1994,1(5):1626.
[11]ESAREY E,SPRANGLE P,KRALL J,et al.Self-focusing and guiding of short laser pulses in lonizing gases and plasmas[J].IEEE J Quantum Electron,1997,33(11):1879.
[12]HAFIZI B,TING A,SPRANGLE P,et al.Relativistic focusing and ponderomotive channeling of intense laser beams[J].Phys Rev E,2000,62(3):4120.
[13]LIU M W,GUO H,ZHOU B,et al.Effects of relativistic and channel focusing on an intense laser beam propagating in a plasma channel:Variational analysis[J].Phys Lett A,2004,333(5):478.
[14]HONG X R,XIE B S,ZHANG S,et al.Wakefield effects and solitary waves of an intense short laser pulse propagation in a plasma channel[J].Phys Plasmas,2011,18(10):103106.1.
[15]ZHANG S,XIE B S,HONG X R,et al.Solitary waves of laser pulse in a plasma channel[J].Phys Plasmas,2011,18(3):033104.1.
[16]TANG R A,HONG X R,GAO J M,et al.Focusing effect of radially power-law channel on an intense laser beam[J].Phys Lett A,2016,380(9):1037.
[17]洪学仁,段文山,孙建安,等.非均匀尘埃等离子体中孤子的传播[J].物理学报,2003,52(11):2671.
[18]张磊,郭鹏,吕克璞.(3+1)维KP方程的精确孤子解[J].西北师范大学学报(自然科学版),2004,40(2):35.
[19]盛政明,张杰,余玮.强激光与等离子体相互作用中低频电磁场孤子波的产生及其捕获[J].物理学报,2003,52(1):125.
[20]洪学仁,段文山,孙建安,等.热尘埃等离子体中尘埃声波的调制不稳定性[J].西北师范大学学报(自然科学版),2005,41(6):62.
[21]PATEL P K,KEY M H,MACKINNON A J,et al.Integrated laser-target interaction experiments on the RAL petawatt laser[J].Plasma Phys Control Fusion,2005,47(12B):B833.
[22]SHARMA A,KOURAKIS I.Spatial evolution of a q-Gaussian laser beam in relativistic plasma[J].Laser Part Beams,2010,28(3):479.
[23]SINGH A,GUPTA N.Second harmonic generation by relativistic self-focusing of q-Gaussian laser beam in preformed parabolic plasma channel[J].Phys Plasmas,2015,22(1):013102.1.