叠加高斯光束超强飞秒成丝的研究
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摘要
随着飞秒脉冲成丝在诸多领域中的广泛应用,延长成丝距离和伴随的等离子体通道长度成为应用的关键。通过求解广义非线性薛定谔方程以及电子密度演化方程,得出如果采用同能量的叠加高斯光束而不采用普通单一高斯光束作为入射光束,克尔介质中飞秒成丝和等离子体通道的性能会显著提高。根据自聚焦上限阈值功率的理论计算表明,叠加高斯光束的自聚焦上限阈值功率大于普通高斯光束。因此,采用叠加高斯光束作为入射光束,既可以延长成丝距离,又能避免高能脉冲下多丝的存在。
Femtosecond pulse filamentation has wide applications in many fields.Extending the lengths of filamentation and accompanied plasma channel are the key to application.By solving the extended nonlinear Schr9 dinger equation coupled with the electron density equation,we can get the following conclusion that the performance of femtosecond filamentation and plasma channels in Kerr media can be significantly improved if an superposed Gaussian beam with the same energy is used instead of an ordinary single Gaussian beam as the incident beam.According to theoretical calculation of the upper threshold power for self-focusing,the self-focusing upper threshold power of superposition Gaussian beam is larger than that of single Gaussian beam.Hence,superposed Gaussian beam as incident beam is particularly useful to extend the filament length and avoid multi-filamentation when the incident pulse energy is high.
Femtosecond pulse filamentation has wide applications in many fields.Extending the lengths of filamentation and accompanied plasma channel are the key to application.By solving the extended nonlinear Schr9 dinger equation coupled with the electron density equation,we can get the following conclusion that the performance of femtosecond filamentation and plasma channels in Kerr media can be significantly improved if an superposed Gaussian beam with the same energy is used instead of an ordinary single Gaussian beam as the incident beam.According to theoretical calculation of the upper threshold power for self-focusing,the self-focusing upper threshold power of superposition Gaussian beam is larger than that of single Gaussian beam.Hence,superposed Gaussian beam as incident beam is particularly useful to extend the filament length and avoid multi-filamentation when the incident pulse energy is high.
引文
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[14]Scheller M,Mills M S,Miri M,et al.Externally refuelled optical filaments[J].Nature Photonics,2014,8(4):297-301.
[15]Mills M S,Kolesik M,Christodoulides D N.Dressed optical filaments[J].Optics Letters,2013,38(1):25-27.
[16]Durnin J,Miceli J,Jr,Eberly J H.Diffraction-free beams[J].Physical Review Letters,1987,58(15):1499.
[17]Durnin J.Exact solutions for nondiffracting beams.I.The scalar theory[J].Journal of Optical Society of America A,1987,4(4):651-654.
[18]Polynkin P,Kolesik M,Roberts A,et al.Generation of extended plasma channels in air using femtosecond Bessel beams[J].Optics Express,2008,16(20):15733-15740.
[19]Polynkin P,Kolesik M,Moloney J.Extended filamentation with temporally chirped femtosecond Bessel-Gauss beams in air[J].Optics Express,2009,17(2):575-584.
[20]Song Z,Zhang Z,Nakajima T.Transverse-mode dependence of femtosecond filamentation[J].Optics Express,2009,17(5):12217-12229.
[21]Song Z,Nakajima T.Formation of filament and plasma channel by the Bessel incident beam in Ar gas:Role of the outer part of the beam[J].Optics Express,2010,18(12):12923-12938.
[22]Polesana P,Franco M,Couairon A,et al.Filamentation in Kerr media from pulsed Bessel beams[J].Physics Review A,2008,77(4):043814.
[23]Liu W,Théberge F,Arévalo E,et al.Experiment and simulations on the energy reservoir effect in femtosecond light filaments[J].Optics Letters,2005,30(19):2602-2604.
[24]Skupin S,BergéL,Peschel U,et al.Interaction of femtosecond light filaments with obscurants in aerosols[J].Physical Review Letters,2004,93(2):023901.
[25]Mlejnek M,Wright E M,Moloney J V.Dynamic spatial replenishment of femtosecond pulses propagating in air[J].Optics Letters,1998,23(5):244-245.
[26]Grow T D,Ishaaya A A,Vuong L T,et al.Collapse dynamics of super-Gaussian beams[J].Optics Express,2006,14(12):5468-5475.
[27]Wang Y,Zhang Y,Qu W,et al.Bessel beam superposition based on annular reflections[J].Optik,2016,127(21):10158-10162.
[28]Hwang C Y,Kim K Y,Lee B,et al.Bessel-like beam generation by superposing multiple Airy beams[J].Optics Express,2011,19(8):7356-7364.
[29]Zhao J,Zhang Z,Liang Y,et al.Abruptly autofocusing beams generated with multiple Bessellike beams[J].Journal of Optics,2016,18(3):035601.
[30]Wang H,Fan C,Zhang J,et al.Extending mechanism of femtosecond filamentation by double coaxial beams[J].Optics Communications,2013,305:48-52.
[31]Fibich G,Gaeta A L.Critical power for self-focusing in bulk media and in hollow waveguides[J].Optics Letters,2000,25(5):335-337.
[32]Mlejnek M,Wright E M,Moloney J V.Femtosecond pulse propagation in argon:A pressure dependence study[J].Physical Review E Statistical Physics Plasmas Fluids and Related Interdisciplinary Topics,1998,58(4):4903-4910.
[2]BergéL,Skupin S,Nuter R,et.al.Ultrashort filaments of light in weakly-ionized,opticallytransparent media[J].Reports on Progress in Physics,2007,70(10):1633-1713.
[3]Polynkin P.Intense femtosecond shaped laser beams for writing extended structures inside transparent dielectrics[J].Applied Physics A,2017,114(1):143-149.
[4]Rairoux P,Schillinger H,Neirdeimer S,et al.Remote sensing of the atmosphere using ultrashort laser pulses[J].Applied Physics B,2000,71(4):573-580.
[5]Kasparian J,Rodriguez M,Méjean G,et al.Whitelight filaments for atmospheric analysis[J].Science,2003,301(5629):61-64.
[6]Durand M,Houard A,Prade B,et al.Kilometer range filamentation[J].Optics Express,2013,21(22):26836-26845.
[7]Chin S,Miyazaki K.A comment on lightning control using a femtosecond laser[J].Japanese Journal of Applied Physics,1999,38(4A):2011-2012.
[8]Popmintchev T,Chen M C,Popmintchev D,et al.Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers[J].Science,2012,336(6086):1287-1291.
[9]Li N,Bai Y,Liu P.Ellipticity characteristic of terahertz radiation source generated from vacuum jet target[J].Acta Optica Sinica,2017,37(3):0326002.李娜,白亚,刘鹏.真空喷气靶太赫兹辐射源椭圆度特性[J].光学学报,2017,37(3):0326002.
[10]Tu Z W,Wei X Y,Liu C,et al.Detection of iodine sublimation by filament-induced fluorescence spectroscopy[J].Chinese Journal of Lasers,2017,44(4):0411001.涂志伟,魏祥野,刘畅,等.利用光丝诱导荧光光谱测量单质碘升华过程[J].中国激光,2017,44(4):0411001.
[11]Allen B,Yakimenko V,Babzien M,et al.Experimental study of current filamentation instability[J].Physical Review Letters,2012,109(18):185007.
[12]Fox W,Fiksel G,Bhattacharjee A,et al.Filamentation instability of counterstreaming laserdriven plasmas[J].Physical Review Letters,2013,111(22):225002.
[13]Couairon A,BergéL.Modeling the filamentation of ultra-short pulses in ionizing media[J].Physics of Plasmas,2000,7(1):193-209.
[14]Scheller M,Mills M S,Miri M,et al.Externally refuelled optical filaments[J].Nature Photonics,2014,8(4):297-301.
[15]Mills M S,Kolesik M,Christodoulides D N.Dressed optical filaments[J].Optics Letters,2013,38(1):25-27.
[16]Durnin J,Miceli J,Jr,Eberly J H.Diffraction-free beams[J].Physical Review Letters,1987,58(15):1499.
[17]Durnin J.Exact solutions for nondiffracting beams.I.The scalar theory[J].Journal of Optical Society of America A,1987,4(4):651-654.
[18]Polynkin P,Kolesik M,Roberts A,et al.Generation of extended plasma channels in air using femtosecond Bessel beams[J].Optics Express,2008,16(20):15733-15740.
[19]Polynkin P,Kolesik M,Moloney J.Extended filamentation with temporally chirped femtosecond Bessel-Gauss beams in air[J].Optics Express,2009,17(2):575-584.
[20]Song Z,Zhang Z,Nakajima T.Transverse-mode dependence of femtosecond filamentation[J].Optics Express,2009,17(5):12217-12229.
[21]Song Z,Nakajima T.Formation of filament and plasma channel by the Bessel incident beam in Ar gas:Role of the outer part of the beam[J].Optics Express,2010,18(12):12923-12938.
[22]Polesana P,Franco M,Couairon A,et al.Filamentation in Kerr media from pulsed Bessel beams[J].Physics Review A,2008,77(4):043814.
[23]Liu W,Théberge F,Arévalo E,et al.Experiment and simulations on the energy reservoir effect in femtosecond light filaments[J].Optics Letters,2005,30(19):2602-2604.
[24]Skupin S,BergéL,Peschel U,et al.Interaction of femtosecond light filaments with obscurants in aerosols[J].Physical Review Letters,2004,93(2):023901.
[25]Mlejnek M,Wright E M,Moloney J V.Dynamic spatial replenishment of femtosecond pulses propagating in air[J].Optics Letters,1998,23(5):244-245.
[26]Grow T D,Ishaaya A A,Vuong L T,et al.Collapse dynamics of super-Gaussian beams[J].Optics Express,2006,14(12):5468-5475.
[27]Wang Y,Zhang Y,Qu W,et al.Bessel beam superposition based on annular reflections[J].Optik,2016,127(21):10158-10162.
[28]Hwang C Y,Kim K Y,Lee B,et al.Bessel-like beam generation by superposing multiple Airy beams[J].Optics Express,2011,19(8):7356-7364.
[29]Zhao J,Zhang Z,Liang Y,et al.Abruptly autofocusing beams generated with multiple Bessellike beams[J].Journal of Optics,2016,18(3):035601.
[30]Wang H,Fan C,Zhang J,et al.Extending mechanism of femtosecond filamentation by double coaxial beams[J].Optics Communications,2013,305:48-52.
[31]Fibich G,Gaeta A L.Critical power for self-focusing in bulk media and in hollow waveguides[J].Optics Letters,2000,25(5):335-337.
[32]Mlejnek M,Wright E M,Moloney J V.Femtosecond pulse propagation in argon:A pressure dependence study[J].Physical Review E Statistical Physics Plasmas Fluids and Related Interdisciplinary Topics,1998,58(4):4903-4910.