High-order harmonics generation by few-cycle and multi-cycle femtosecond laser pulses

This paper investigates experimentally high-order harmonic generation(HHG) of neon gas with 5-fs and 25-fs driving laser pulses.It has been demonstrated that the cutoff energy of the harmonic extreme ultraviolet photons is extended to 131 eV and the HHG spectrum near the cutoff region becomes continuum as the driving laser pulse duration is 5 fs;whereas much lower cutoff photon energy and discrete harmonic spectrum near the cutoff region are presented as the laser pulse duration is 25 fs.The results can be explained by the fact that neutral atoms can be exposed to more intense laser field before they are depleted by ionization because of the extremely short rising time of the few-cycle pulse.The 5-fs driving laser pulse paves the way of generation of coherent x-ray in the water window and single attosecond pulse.     

超短脉冲谐波截止区量子效应研究

采用Lewenstein路径积分模型和准经典三步模型,计算了不同脉宽的超短脉冲高次谐波波谱。通过比较模型截止频率随载波包络相位的变化关系的差异,对辐射过程中的量子效应进行了研究。结果显示,随脉宽的减小,以上两种模型计算结果出现的偏离增加,谐波辐射中的量子效应愈加明显。当脉宽减小至0.5 T(T为光学周期)时,准经典三步模型已不能用以解释Lewenstein模型的计算结果。     

Extension of high-order harmonics and generation of an isolated attosecond pulse in the chirped laser field

This paper theoretically investigates the high-order harmonic generation cutoff extension using intense few-cycle linearly chirped laser pulses. It shows that the cutoff of the harmonic can be extended remarkably by optimising the chirping parameters. The time-frequency characteristics of high-order harmonics with different chirping parameters are analysed by means of wavelet transform of the dipole acceleration. It also gives out the classical three-step model pictures of electron. By superposing a properly selected range of the harmonic spectrum, it obtains an isolated 65as pulse.     

Atomic high-order harmonic generation from a circularly polarized laser pulse

We demonstrate theoretically that the high-order harmonic of an atom can be generated by a circularly polarized laser pulse.The harmonic spectrum shows a clear cutoff with an energy Ip + 2Up.In particular,the high-order harmonic generation comes from the multiple recombination of the ionized electron with non-zero initial velocity.These results are verified by the classical model theory and the time-frequency analysis of a harmonic spectrum.     

Carrier-envelope phase effects of over-saturated few-cycle laser pulses on high-order harmonic generation

We investigate theoretically the high-order harmonic generation driven by few-cycle laser pulses with intensities above the saturated intensity using the Lewenstein model. It is found that the carrier-envelope phase of the laser pulse has great influences on the coherence of the high-order harmonic spectrum in the plateau region when driven by a relatively weaker driver field in the oversaturated regime. While for a much higher intensity the coherence of the high-order harmonic spectrum is almost independent on the carrier-envelope phase.     

中红外组合激光场产生低于50阿秒的单个脉冲

研究了氦离子在中红外组合激光场作用下的高次谐波辐射和孤立阿秒脉冲的产生. 研究结果表明,当主脉冲强度相对低时,谐波截止在657阶次处,形成一个宽度为287 eV的连续谱. 当主脉冲强度相对高时,可使谐波截止拓展到1795阶次,连续谱加宽到834 eV. 在两种情况下,我们实现了长量子路径选取,并且产生转换效率较高的连续谱. 特别是对于相对高的激光强度,叠加450—1590阶次内任意87 eV的谐波都可以直接得到50 as以内的单个脉冲.     

Extension of Harmonic Cutoff and Generation of Isolated Sub-30 as Pulse in a Two-Color Chirped Laser Field

We theoretically investigate high-order harmonic and isolated attosecond pulse generation in a two-color chirped laser field,which is synthesized by a 9 fs/800 nm fundamental chirped pulse and a 9 fs/1600 nm controlling chirped pulse.Our numerical results show that,by using this method,not only is the harmonic cutoff significantly extended to the 948th order harmonic,but also the bandwidth of the supercontinuum spectrum is effectively broadened to about 1342 eV.In addition,due to the introduction of the chirp,the long quantum path is suppressed and only the short one is selected,and then an isolated 28 as pulse with a bandwidth of 155 eV is obtained directly.     

氦原子在啁啾激光与中红外组合场中产生的单个阿秒脉冲

通过Crank Nicolson方法数值求解一维氦原子的含时Schrdinger方程,研究了啁啾激光与中红外激光形成组合场驱动氦原子发射高次谐波的特点.研究结果表明,在组合场驱动下,高次谐波平台区能得到很大的扩展,其截至位置得到大幅度扩展,对平台区不同阶次范围的高次谐波进行叠加均能得到单个的阿秒脉冲,最短可实现46 as的单个脉冲输出,经分析发现,中红外场的加入,不仅使高次谐波的平台得到扩展,而且提高了平台区前端的谐波强度.通过经典计算和对电离几率特点的讨论,解释了发生这种现象的原因.     

通过双色激光场和低频电场合成获得孤立40阿秒脉冲

本文提出了一个在双色激光场上叠加低频电场来拓宽高次谐波谱平台区域,从而获得孤立40阿秒脉冲的方案.计算中,我们针对氦原子数值求解了一维含时薛定谔方程,并结合电子的经典回碰动能随时间分布图以及时频分析图,分析了低频电场对高次谐波谱产生过程的影响.计算结果表明,该方案可以有效的拓宽谐波谱的平台区域.通过叠加适当阶数的谐波谱,我们得到了孤立40阿秒脉冲.     

时-空域波形优化延伸高次谐波截止能量的研究

在高次谐波发射三步模型的指导下,理论研究了三色场时-空域波形调控对谐波截止能量的影响．在时域调控下,通过改变三束激光场的强度比、相位和延迟时间获得了最佳的三色场时域波形．在该波形下,谐波截止能量得到最佳延伸．在空间调控下,在上述最佳波形的基础上选择适当的正向激光非均匀效应后,谐波截止能量得到了进一步延伸．并且,随着非均匀参数增大,谐波截止能量也可持续增大．通过分析激光波形、空间非均匀效应和谐波发射过程给出了谐波截止能量延伸的原因．并且,通过叠加部分谐波可获得脉宽为45as的单个脉冲．     

使用多色合成激光场拓展高次谐波谱平台区域的宽度

本文提出了一种多色合成激光方案用来有效的提高高次谐波谱平台区域的宽度. 我们首先通过在800nm基本激光脉冲上添加一束或者两束控制激光脉冲在理论上得到双色以及三色合成激光场;其次,通过求解一维含时薛定谔方程,计算得到了在多色合成激光场条件下的高次谐波谱,计算结果表明,多色合成激光场方案可以有效的拓展高次谐波谱的平台区域;最后,我们结合电子的经典回碰动能分布以及时频分布,分析了在多色场条件下高次谐波谱平台区域拓宽的机理和微观机制.     

使用多色合成激光场拓展高次谐波谱平台区域的宽度

本文提出了一种多色合成激光方案用来有效的提高高次谐波谱平台区域的宽度. 我们首先通过在800nm基本激光脉冲上添加一束或者两束控制激光脉冲在理论上得到双色以及三色合成激光场;其次,通过求解一维含时薛定谔方程,计算得到了在多色合成激光场条件下的高次谐波谱,计算结果表明,多色合成激光场方案可以有效的拓展高次谐波谱的平台区域;最后,我们结合电子的经典回碰动能分布以及时频分布,分析了在多色场条件下高次谐波谱平台区域拓宽的机理和微观机制.     

Single Ultrashort Attosecond Pulse Generation via Combination of Chirped Fundamental Laser and an Ultraviolet Controlling Pulse

We theoretically study the high-order harmonic generation (HHG) from a hydrogen atom in an intense few-cycle chirped fundamental laser in combination with an ultraviolet (uv) controlling pulse.The high-order harmonic spectrum is calculated by solving the time-dependent Schr¨odinger equation using the split-operator method.In our calculation,we present the difference of the high-order harmonic spectrum from one-dimensional (1D) model hydrogen atom and three-dimensional (3D) real hydrogen atom.We found that the plateau of the high-order harmonic generation from the 1D case and 3D case are all extended effectively to I p + 35U p due to the presence of the chirped laser pulse and the HHG supercontinuum spectrum is generated by adding an ultraviolet controlling pulse at a proper time,but the efficiency of the HHG for 3D case is more higher at the near cut-off region than the 1D case.Therefore,the generation of the attosecond pulse by synthesizing the harmonics near cut-off region have some slight differences between 1D and 3D simulations.As a real 3D case study,we show that an isolated 18 as pulse with a bandwidth of 232.5 eV is generated directly by optmizing the combination laser fields.     

Enhancement of high-order harmonic generation at tuned wavelengths through adaptive control

An adaptive learning loop enhances the efficiency and tuning of high-order harmonic generation. In comparison with simple chirp tuning, we observe a broader tuning range and a twofold to threefold enhancement in integrated photon flux in the cutoff region. The driving pulse temporal phase varies significantly for different tunings and is more complicated than a simple chirp. We compare our experimental results with a one-dimensional, time-dependent model that incorporates the intrinsic atomic response, the experimental pulse temporal phase, ionization effects, and transverse coherence of the spatial mode of the laser. The model agrees with our experimental results and indicates that a specific quantum path coupled with ionization effects determines the optimized harmonic spectrum.     

相对论质量修正效应对超高次谐波的影响

通过分别求解含时狄拉克方程和含时薛定谔方程, 研究了一维模型原子在相对论超强激光脉冲作用下的超高次谐波发射过程. 研究结果表明: 在弱场强条件下, 相对论的模拟结果可以退化到非相对论的结果; 随着场强的增强, 可以逐渐观察到明显的相对论质量修正效应. 此外, 根据发展的相对论的"三步"模型并结合小波时频分析方法, 分析了谐波平台的截止位置和发射效率.     

60 fs长脉宽双色场作用下孤立阿秒脉冲的产生

通过数值求解一维含时Schrödinger方程,研究了具有较长脉宽双色激光脉冲与氢原子相互作用产生的高次谐波和阿秒(as)脉冲.这里的双色激光脉冲由一束基频钛宝石主脉冲与另一束红外附加脉冲构成.研究发现,当合成脉冲的脉宽选为12 fs时, 选取合适的附加脉冲波长,合成电场的振幅在始末端时间段能被大幅抑制, 仅中间部分的电场对谐波谱平台区和截止位置起主要贡献. 通过分析合成脉冲电场始末端时间段抑制的机理,进一步扩展了合成脉冲脉宽到60 as, 并得到160 as的孤立短脉冲.这是迄今为止在孤立阿秒脉冲产生研究中所采用的最长脉宽. 该方案中的合成脉冲等效于单一5 fs短脉冲的作用, 却克服了5 fs脉冲低输出能量导致的阿秒脉冲能量低的困难.     

超短脉冲谐波辐射过程中的量子路径分析

本文数值计算了脉宽为半个光学周期的超短脉冲在不同载波包络相位下的谐波波谱,通过比较谐波波谱截止频率与电子通过主要路径可获得的最大动能的差异,研究了超短脉冲谐波辐射过程中的量子路径。结果显示,超短脉冲谐波辐射过程中电子获得动能的量子路径偏离主要量子路径,而且该偏离效应受载波包络相位的影响。     

超短脉冲谐波辐射过程中的量子路径分析

本文数值计算了脉宽为半个光学周期的超短脉冲在不同载波包络相位下的谐波波谱,通过比较谐波波谱截止频率与电子通过主要路径可获得的最大动能的差异,研究了超短脉冲谐波辐射过程中的量子路径。结果显示,超短脉冲谐波辐射过程中电子获得动能的量子路径偏离主要量子路径,而且该偏离效应受载波包络相位的影响。     

Isolated sub-30-attosecond pulse generation using a multicycle two-color chirped laser and a static electric field

We present a theoretical investigation of high-order harmonic generation in a chirped two-color laser field, which is synthesized by a 10-fs/800-nm fundamental chirped pulse and a 10-fs/1760-nm subharmonic pulse. It is shown that a supercontinuum can be produced using the multicycle two-color chirped field. However, the supercontinuum reveals a strong modulation structure, which is not good for the generation of an isolated attosecond pulse. By adding a static electric field to the multicycle two-color chirped field, not only the harmonic cutoff is extended remarkably, but also the quantum paths of the high-order harmonic generation （HHG） are modified significantly. As a result, both the extension of the supercontinuum and the selection of a single quantum path are achieved, producing an isolated 23-as pulse with a bandwidth of about 170.6 eV. Furthermore, the influences of the laser intensities on the supercontinuum and isolated attosecond pulse generation are investigated.     

高频激光脉冲作用下原子的光子和光电子发射

通过数值求解含时薛定谔方程, 研究了原子在高频激光作用下的电离概率、光电子谱和谐波发射谱. 研究发现, 随着入射激光强度的增加, 原子的电离概率逐渐增加, 达到最大后下降, 其光电子发射谱和高次谐波发射谱均由单峰结构变成多峰. 而通过对谐波发射谱的时间-频率分析发现, 在电离抑制区域, 脉冲的峰值附近谐波受到抑制, 谐波发射主要发生在上升沿和下降沿, 二者的干涉效应产生了谐波的多峰值结构. 利用光电子发射谱和谐波发射谱随入射激光强度的改变规律, 可以实现对引起原子电离抑制的激光强度进行诊断.