用变换方程测量窄带阿秒超紫外线XUV脉冲的强度时间结构

阿秒超紫外线(extreme ultra-violet, XUV)与飞秒超短激光脉冲共同激发惰性气体原子产生光电子，其终态能量与光电子产生时刻即激光相位有关. 介绍光电子的激光相位确定法，并利用光电子能谱本身(其比例谱)，计算出待测窄带XUV脉冲的强度时间结构. 研究表明，在与激光线性极化方向成0°或180°方向测量得到的光电子能谱动态范围大，容易解谱. XUV脉冲的时间宽度的测量范围为半个激光振荡周期，时间分辨率主要取决于测量系统的时间晃动和控制精度. 关键词： 光电子能谱 相位确定法 变换方程 脉冲强度时间结构     

Use of photoelectron laser phase determination method for attosecond measurements with quantum-mechanical calculations

This paper calculates quantum-mechanically the photoelectron energy spectra excited by attosecond x-rays in the presence of a few-cycle laser. A photoelectron laser phase determination method is used for precise measurements of the pulse natural properties of x-ray intensity and the instantaneous frequency profiles. As a direct procedure without any previous pulse profile assumptions and time-resolved measurements as well as data fitting analysis, this method can be used to improve the time resolutions of attosecond timing and measurements with metrological precision. The measurement range is half of a laser optical cycle.     

附加谐波脉冲生成强的39阿秒孤立脉冲

采用多周期800 nm激光组合它的27次谐波脉冲生成超短、宽频的孤立阿秒脉冲.研究表明,脉宽为1 fs的27次谐波脉冲可以有效地控制电子动力学过程.将其加入到单色激光场的特定时域,可以控制电离概率在半个光学周期内迅速提升,使得谐波的转化效率相对于单色场情形增强4个数量级,并实现单一的短量子路径选择,出现频宽为108 eV的超连续辐射谱,叠加该连续谱140次到210次谐波获得了脉宽为39as的强、短孤立脉冲.与文献[7]中采用5 fs/800 nm激光附加紫外阿秒脉冲的方法相比,该方案生成的连续谱频带增宽一 关键词： 组合激光脉冲 连续辐射谱 阿秒脉冲     

阿秒脉冲测量的研究进展

对于发生在原子范围内的电子动力学过程的观测需要阿秒量级的时间分辨率.理论和实验研究都已证明,用周期量级超短脉冲直接泵浦的高次谐波过程可以产生阿秒脉冲序列甚至单个的阿秒脉冲,将阿秒脉冲用于测量超快动力学过程之前先要对阿秒脉冲本身性质做出描述,传统的自相关方法和互相关方法不能直接推广到阿秒量级超短脉冲的测量.文章详细介绍了近几年发展起来的阿秒脉冲测量方法,分析了它们的分辨极限和局限性.     

用光电子能谱相位确定法同时测量阿秒超紫外线XUV脉冲的频率和强度时间分布

介绍阿秒超紫外线(XUV)激发惰性气体原子产生光电子并在强激光电场中运动的半经典近似 方法，以及同时、直接、全面地测量阿秒XUV脉冲频率和强度时间分布的光电子能谱相位确定法. 采用飞秒超短脉冲激光和XUV间的交叉关联技术，从不同激光强度下、与激光线性极化方向成0°或180°方向上测得的光电子能量积分谱，可以重建XUV的频率和强度时间分布. XUV脉冲时间宽度的测量范围从1／4到1／2激光振荡周期，时间分辨率取决于激光束和XUV脉冲之间的相对延时控制精度和光路抖动时间. 所述方法可用于在阿秒尺度上的超快速测量，以及有关电子在原子和分子中运动的超快速动力学过程研究. 关键词： 阿秒测量 光电子能谱 相位确定法 超紫外线 频率和强度时间分布     

利用43飞秒的强激光脉冲实现单个阿秒脉冲输出的新机理

研究了多个光周期的长脉冲(43 fs)激光与氖原子相互作用产生的高次谐波的辐射特性. 通过计算机数值模拟，发现当激光场的强度超过饱和光强时，原子将会在几个光周期内被迅速电离，使得原子的高次谐波谱在截止区呈现出平滑的多平台结构. 同时，在高频波段离子产生的高次谐波的影响将变得十分显著. 通过选取合适的子平台进行频率叠加，在消除了离子的高次谐波的影响后，可以获得单个的阿秒软X射线脉冲. 关键词： 高次谐波 阿秒脉冲     

Quantum interference in laser-assisted photo-ionization excited by a femtosecond x-ray pulse

The photoelectron energy spectra （PESs） excited by monochromatic femtosecond x-ray pulses in the presence of a femtosecond laser are investigated. APES is composed of a set of separate peaks, showing interesting comb-like structures. These structures result from the quantum interferences between photoelectron wave packets generated at different times. The width and the localization of each peak as well as the number of peaks are determined by all the laser and x-ray parameters. Most of peak heights of the PES are higher than the classical predictions.     

Time-energy properties of an attosecond extreme ultra-violet pulse

The time-energy properties of high-order harmonic generation (HHG) are calculated for a linearly polarized 7-fs laser pulse with different carrier-envelope phases (CEPs). The quantum trajectory paths that contribute to an as (1 as=10-18 s) pulse in HHG are identified. The laser-duration dependence and the CEP dependence of HHG energy property are investigated. The study shows that an as extreme ultra-violet (XUV) pulse can be selected from HHG spectrum near cut-off energy with a bandpass optical filter. The theoretical prediction of the pulse duration is proportional to bandwidth. Analysis suggests that a measured narrowband as XUV pulse may consist of instantaneous shorter pulses each dependent on laser pulse duration, intensity, and CEP. These information can be used as references for producing, selecting, improving and manipulating (timing) as pulses.     

利用双色啁啾激光场产生超短的单个阿秒脉冲

数值研究了氦原子在两束啁啾激光场形成的组合场驱动下所发射高次谐波的特点.计算结果表明,当两束啁啾激光场的形式为δi(t)=-βiωit2/T (i=1,2)并且啁啾参数分别为β1=0.3和β2=0.6时,高次谐波谱的平台区域能得到很大的扩展,随后通过激光场强度以及相位的优化,谐波截至能量延伸到了812eV.最后通过叠加谐波次数从160次到210次,210次到260次,260次到310次,可获得一系列脉宽为33as的单个阿秒脉冲.     

非平行偏振双色场驱动产生脉宽稳定的单个宽谱阿秒脉冲

提出一种直接得到脉宽稳定的单个宽谱阿秒脉冲的新方法.利用波长为800 nm脉宽为5 fs的超短脉冲叠加上偏振方向与主脉冲成π/3,脉宽同样为5 fs的二次谐波脉冲驱动氦原子,可以得到宽度达到50 eV的超连续谱.当二次谐波的强度大于10¹⁴ W/cm²时,超连续谱的位置以及谱宽几乎不会随着二次谐波脉冲的强度的改变而改变.对85—125 eV的超连续谱进行滤波可以直接得到100 as左右的单个阿秒脉冲,这个性质对于实验上获得单个宽谱阿秒脉冲而言是非常有利的. 关键词： 阿秒脉冲 超连续谱     

ns脉冲测量中的波形重建

为修正高电压测量探头寄生参数对测量ns脉冲波形的影响,对探头的数字补偿方法进行了研究。利用对低电压标定所得标准参考信号和探头信号做傅里叶变换,得到其各自的频谱密度,然后通过相除,得到探头灵敏度与频率的关系和信号相位与频率的关系。在实测时,再对测得信号做傅里叶变换,将得到的频谱密度乘以探头灵敏度及信号相位对频率的函数,通过傅里叶逆变换重建出待测信号。通过不同信号进行波形重建实验证明,此方法能够在短时间内很好地修正高电压测量探头寄生参数对ns脉冲波形的畸变。     

Quantum path control in the presence of a half-cycle pulse to generate isolated attosecond pulse

Quantum path control on the harmonic emission from hydrogen molecular ion is investigated via combining an intense few-cycle laser and a half-cycle pulse (HCP). The results show that the quantum paths of returning electrons can be effectively modified due to the introduction of the HCP which extremely dominates the acceleration process of ionized electron. With the favorable conditions, the long quantum path is completely eliminated and an isolated 61 as pulse can be obtained by superposing proper harmonics. Moreover, the electron wave packet distributions and the double-well model are presented to explore the underlying physical mechanism.     

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.     

Isolated attosecond pulse generation from atom radiated by a three-color laser pulse

We theoretically investigate high-order harmonic and attosecond pulse generation from helium atom in a three-color laser field, which is synthesized by 10 fs/800 nm Ti-sapphire laser and a two-color field consisting of 30 fs/532 nm and30 fs/1330 nm pulses. Compared with harmonic spectrum generated by a monochromatic field, the harmonics generated from the synthesized three-color field show a supercontinuum spectrum with a bandwidth of 235 eV, ranging from the 154 th to the 306 th order harmonic. This phenomenon can be attributed to the fact that the ionization of atoms as well as motion of ionized electron can be effectively controlled in the three-color field. Therefore, an isolated 46-as pulse can be generated by superposing supercontinuum from the 160 th to the 210 th order harmonics.     

Generation of an isolated sub-30 attosecond pulse in a two-color laser field and a static electric field

We theoretically investigate high-order harmonic generation(HHG) from a helium ion model in a two-color laser field,which is synthesized by a fundamental pulse and its second harmonic pulse.It is shown that a supercontinuum spectrum can be generated in the two-color field.However,the spectral intensity is very low,limiting the application of the generated attosecond(as) pulse.By adding a static electric field to the synthesized two-color field,not only is the ionization yield of electrons contributing to the harmonic emission remarkably increased,but also the quantum paths of the HHG can be significantly modulated.As a result,the extension and enhancement of the supercontinuum spectrum are achieved,producing an intense isolated 26-as pulse with a bandwidth of about 170.5 eV.In particular,we also analyse the influence of the laser parameters on the ultrabroad supercontinuum spectrum and isolated sub-30-as pulse generation.     

Wavelength-dependence of double optical gating for attosecond pulse generation

Both polarization gating （PG） and double optical gating （DOG） are productive methods to generate single attosecond （as） pulses. In this paper, considering the ground-state depletion effect, we investigate the wavelength-dependence of the DOG method in order to optimize the generation of single attosecond pulses for the future application. By calculating the ionization probabilities of the leading edge of the pulse at different driving laser wavelengths, we obtain the upper limit of duration for the driving laser pulse for the DOG setup. We find that the upper limit duration increases with the increase of laser wavelength. We further describe the technical method of choosing and calculating the thickness values of optical components for the DOG setup.     

利用调制的偏振态门控制阿秒脉冲的产生

提出一种利用多光周期驱动脉冲获得极紫外宽带超连续谱的新方法.利用波长为1600nm的基频场组成的偏振态门增强高次谐波产生效率对椭扁率的依赖,并叠加上波长为800nm的倍频场来调制电离比率.计算结果表明,采用脉冲宽度为6个光周期(32.4fs)的基频脉冲就能够将高次谐波辐射限制在0.5个光周期内,获得了带宽为280eV的超连续谱,这个谱宽支持傅里叶极限为10as的单个脉冲输出.直接选取超连续谱上的一段,可以获得100as的脉冲输出.此外,在调制的偏振态门中可以使用相对延迟较小的两束基频光组成偏振态门,提高了 关键词： 阿秒脉冲 超连续谱 偏振态门     

利用低频场控制轨道直接产生低于50阿秒的单个脉冲

提出一种直接得到脉宽小于50as的单个脉冲的新方法.利用波长为800nm脉宽为5fs的超短脉冲叠加上波长为10μm,强度为超短脉冲强度的10％且脉宽足够长的低频场脉冲驱动氦原子,谐波谱可以拓展到I_p+8.2U_p,同时,高于4.2U_p的谐波几乎是连续的.如果继续调节超短脉冲的载波包络相位,超连续谱可以继续拓宽,从而可以得到低于50as的单个脉冲. 关键词： 阿秒脉冲 超连续谱     

利用三色组合脉冲激光获得孤立阿秒脉冲发射

孤立阿秒脉冲因可以跟踪和控制原子及分子内电子的运动过程而备受关注.本文从理论上开展了氦原子在3束飞秒脉冲激光组合场辐照下产生的高次谐波和阿秒脉冲辐射的研究.组合激光场由16 fs/1600 nm,15 fs/1100 nm和5.3 fs/800 nm的钛宝石脉冲构成.与前两束脉冲合成的双色场产生谐波谱相比,附加钛宝石脉冲的三色场产生的高次谐波发射谱呈现出高转换效率及宽带超连续特性,超连续谱范围覆盖从230—690次谐波,傅里叶变换后实现了128 as高强度孤立短脉冲的产生.该结果归因于合成的三色场呈现出高功率及少周期的中红外飞秒脉冲激光特性,可以有效控制原子电离以及复合发生在中红外飞秒脉冲的一个有效光学周期内.     

Generation of a single attosecond pulse from an overdense plasma surface driven by a laser pulse with time-dependent polarization

The influence of time-dependent polarization on attosecond pulse generation from an overdense plasma surface driven by laser pulse is discussed analytically and numerically.The results show that the frequency of controlling pulse controls the number and interval of the generated attosecond pulse,that the generation moment of the attosecond pulse is dominated by the phase difference between the controlling and driving pulses,and that the amplitude of the controlling pulse affects the intensity of the attosecond pulse.Using the method of time-dependent polarization,a "single" ultra-strong attosecond pulse with duration τ≈ 8.6 as and intensity I ≈ 3.08 × 10 20 W·cm-2 can be generated.