氢分子离子的两个核对谐波贡献的研究

通过求解含时薛定谔方程的方法研究H+2的两个核分别对高次谐波产生的贡献.结果表明,在激光场的作用下两个核周围的电子分布不同从而导致了在不同时刻两个核对谐波产生的贡献不同,即在半整数个光周期谐波的产生主要由核1贡献而在整数个光周期主要由核2贡献.然后结合时频分布图和电子和核波包密度图,对其物理机制进行了合理解释.     

同位素分子对高次谐波产率的影响

利用含时波包加上傅里叶变换方法研究强激光场中不同同位素分子对高次谐波产率的影响。运用电子与核运动的相干量子力学方法得到了电离电子与正离子的碰撞几率。通过对三种同位素分子H2,D2和T2的碰撞几率分布的对比,发现在前三个光周期内电离电子会多次返回与正离子发生碰撞,但是对应不同同位素分子的碰撞几率的最大值都出现在第一个光周期中。在后两个光周期内三种分子的碰撞几率分布表明较重同位素分子T2对应的碰撞几率最大。通过对三种同位素分子电离率的计算发现同位素分子中较重分子的电离率较高,而电离率越大高次谐波产率越大。因此,在同等条件下,重同位素分子对应较高的高次谐波产率。     

电荷共振增强电离和离解电离在H~+_2谐波辐射中的贡献

理论研究了电荷共振增强电离和离解电离在H~+_2谐波辐射中的贡献.结果表明:在少周期激光场下,谐波辐射只由电荷共振增强电离贡献产生,谐波光谱呈规则的奇次谐波.在多周期激光场下,谐波辐射由电荷共振增强电离和离解电离共同贡献产生,但是电荷共振增强电离在谐波辐射中起主要作用.并且低阶谐波呈现偶次谐波.最后,通过分析含时核运动,电离几率以及谐波辐射时频分析图解释了少周期和多周期激光场驱动H~+_2辐射谐波的过程.     

利用两色组合激光场驱动氦原子产生单个阿秒脉冲

对由波长为1600 nm和800 nm两色激光形成组合场驱动氦原子产生的高次谐波进行了研究,通过改变组合场中主要发射高次谐波期间电场的上升沿和下降沿随时间不同的变化率,使电子长路经和短路径发射谐波的特性发生变化,将由此产生的高次谐波进行叠加时可以得到更短的阿秒脉冲,再调节两束激光场的延迟时间,能够有效地实现抑制电子短路径的贡献,从而得到脉宽为33.7 as的单个阿秒脉冲.     

利用半周期激光场调控H_2~+谐波辐射过程

采用数值求解核与电子耦合的薛定谔方程,对H_2~+分子谐波辐射调控进行了研究.计算结果表明,激光场正向时,谐波能量主要来源于负向H核贡献;激光场负向时,谐波能量主要来源于正向H核.随后,通过适当引入半周期激光场,可以有效调节正负H核辐射谐波的强度.最后,适当叠加谐波谱上的谐波,可获得一个46 as的脉冲.该研究对调控分子谐波的辐射过程及阿秒脉冲的输出是有帮助的.     

原子在两色组合激光场中产生的单个阿秒脉冲

利用分裂算符法求解含时薛定谔方程,对一维氦原子处于红外场（IR）与紫外场（UV）组合的两色激光场中产生的高次谐波进行研究,分析了由高次谐波产生的阿秒脉冲的特征. 发现在组合场中可以通过增加红外场的强度,来缩短阿秒脉冲的宽度,通过调节组合场中两束激光的时间延迟,提高一个电子轨道对谐波的贡献,而抑制另一个电子轨道的贡献,从而得到低于100 as的单个脉冲. 关键词： 强激光场 组合场 高次谐波 阿秒脉冲     

外加静电场下CO高次谐波谱

利用分子在强激光中产生的高次谐波谱可以实现对分子结构及分子中电子迁移动力学过程的探测和研究.本文采用Lewenstein模型,计算了确定取向的CO分子在线偏振光与静电场组合作用下产生的高次谐波谱.结果表明,针对外加静电场相对分子朝向的两种不同指向,高次谐波谱分别展现了双平台结构和拉长的单平台结构.理论分析表明这些谐波谱的结构特点主要来自于不同跃迁通道贡献的相干叠加.本文为极性分子在非对称场下的高次谐波的形成提供了一个清晰的物理图像,对调控极性分子的高次谐波,进而产生可控阿秒脉冲具有科学意义.     

H_2~+分子双H核对高次谐波辐射的贡献

理论研究了H_2~+分子双H核对高次谐波辐射的贡献.结果表明:在少周期激光场下,由于激光场的反对称性,负向H核辐射谐波强度高于正向H核.随着激光脉宽增大,激光波形趋于对称,因此导致双H核辐射谐波的反对称结构减小.谐波辐射的时频分析图显示,当激光场为正向时(E(t)0.0),负向H核辐射谐波强度高于正向H核;当激光场反向时(E(t)0.0),正向H核辐射谐波强度高于负向H核.最后,通过分析含时电子波包及H_2~+的缀饰态给出了电子在双H核之间转移的原因.     

中红外偏振态门驱动产生高效的极宽超连续谱

研究了在中红外偏振态门驱动下高效产生极宽超连续谱的过程.利用波长为2000 nm的偏振态门激光场可以将电子的回复控制在半个光周期内,并且将谐波谱的截止区拓展到270 eV.在偏振态门中加入0.5 fs的紫外控制脉冲,可以对谐波的电离过程进行控制,把谐波的强度提高了4—5个数量级,并得到了谱宽为240 eV的极宽超连续谱.该极宽超连续谱在傅里叶变换极限下支持脉宽仅为16 as的单个脉冲的产生.通过过滤超连续谱中不同次数的谐波,可以得到一系列波长可调的110 as的高强度单脉冲. 关键词： 高次谐波 阿秒 偏振态门 超连续谱     

核运动对非奇次谐波产生的影响

理论研究了H2+、D2+、T2+辐射高次谐波的特点.结果表明,在核运动影响下,不仅奇次谐波呈现红移现象,而且谐波光谱呈现非奇次谐波.随着核质量增大,奇次谐波频移和非几次谐波强度都减弱.但是随着激脉宽增大,非奇次谐波的产生明显被增强.理论分析表明,谐波频移是由谐波辐射在激光上升和下降区间的非对称性导致的;非奇次谐波是由于分子对称性在较大核间距离处遭破坏产生的.     

Decoding the electron dynamics in high-order harmonic generation from asymmetric molecular ions in elliptically polarized laser fields

The high-order harmonic generation from an asymmetric molecular ion is theoretically investigated based on the Born-Oppenheimer model with two-dimensional electron dynamics. It is shown that the harmonic intensity changes periodically in elliptically polarized laser fields. The periodical character is ellipticity-dependent. By establishing the physical image, the periodicity of the harmonic intensity can be ascribed to the contributions of the ground state and the excited state. Furthermore, the electron dynamics from different electronic states can be selected via combining the elliptically polarized laser field with a static electric field. The harmonics dominated either by ground state or excited state are emitted once in an optical cycle in the combined laser field.     

Investigation of electron localization in harmonic emission from asymmetric molecular ion

We theoretically investigate the electron localization around two nuclei in harmonic emission from asymmetric molecular ion. The results show that the ionization process of electron localized around one nucleus competes with its transfer process to the other nucleus. By increasing the initial vibrational level, more electrons localized around the nucleus D+tend to transfer to the nucleus He2+so that the ionizations of electrons localized around the nucleus He2+increase. In this case, the difference in harmonic efficiency between He H2+and He D2+decreases while the difference in harmonic spectral structure increases. The evident minimum can be observed in the harmonic spectrum of He H2+compared with that in the spectral structure of He D2+, which is due to the strong interference of multiple recombination channels originating from two nuclei. Time-dependent nuclear probability density, electron-nuclear probability density, double-well model, and time-frequency maps are presented to explain the underlying mechanisms.     

Controlling the contributions to high-order harmonic generation from different nuclei of N_2 with an orthogonally polarized two-color laser field

The generation of high-order harmonic and the attosecond pulse of the N2 molecule with an orthogonally polarized two-color laser field are investigated by the strong-field Lewenstein model.We show that the control of contributions to high-order harmonic generation(HHG) from different nuclei is realized by properly selecting the relative phase.When the relative phase is chosen to be φ= 0.4π,the contribution to HHG from one nucleus is much more than that from another.Interference between two nuclei can be suppressed greatly; a supercontinuum spectrum of HHG appears from 40 e V to125 e V.The underlying physical mechanism is well explained by the time–frequency analysis and the semi-classical threestep model with a finite initial transverse velocity.By superposing several orders of harmonics,an isolated attosecond pulse with a duration of 80 as can be generated.     

Laser phase effect on asymmetric harmonic distribution in H_2~+

The laser phase effect on the spatial distribution of the molecular high-order harmonic generation(MHHG) spectrum from H_2~+ is theoretically investigated through solving the Non-Bohn-Oppenheimer(NBO) time-dependent Schrodinger equation(TDSE).The results are shown as follows,(i) The generated harmonics from the two nuclei each present an asymmetric distribution.Particularly,when the laser phases are chosen from 0.0π to 0.6π and from 1.7π to 2.0π,the contribution from the negative-H plays a main role in harmonic generation.When the laser phases are chosen from 0.7πto 1.6k,the contribution from the positive-H to the harmonic generation is remarkably enhanced and becomes greater than that from the negative-H.The electron localization,the time-frequency analyses of the harmonic spectrum and the time-dependent wave function are shown to explain the asymmetric harmonic distribution in H_2~+,which provides us with a method to control the electron motion in molecules,(ⅱ) As the pulse duration increases,the asymmetric distributions of the MHHG in two H nuclei decrease,(ⅲ) Isotope investigation shows that the asymmetric harmonic distribution can be reduced by introducing the heavy nucleus(i.e.,D_2~+).     

Carrier envelope phase effect on the spatial distribution of high-order harmonic generation in asymmetric molecule

The spatial distribution in high-order harmonic generation(HHG) from the asymmetric diatomic molecule He H~(2+) is investigated by numerically solving the non-Born–Oppenheimer time-dependent Schr?dinger equation(TDSE). The spatial distribution of the HHG spectra shows that there is little contribution in HHG around the geometric center of two nuclei(z = 1.17 a.u.) and the equilibrium internuclear position of the H nucleus(z = 3.11 a.u.). We demonstrate the carrier envelope phase(CEP) effect on the spatial distribution of HHG in a few-cycle laser pulse. The HHG process is investigated by the time evolution of the electronic density distribution. The time–frequency analysis of HHG from two nuclei in HeH~(2+) is presented to further explain the underlying physical mechanism.     

HeH~(2+)分子谐波辐射的空间分布

理论研究了HeH~(2+)分子发射高次谐波的空间分布情况.结果表明:分子谐波发射主要集中在He核和H核附近.当核间距离较小时,He核辐射谐波强度要比H核辐射谐波强度高2~3个数量级.当核间距离较大时,He核辐射谐波强度要比H核辐射谐波强度高4~5个数量级.当空间非均匀激光场引入后,谐波截止能量得到延伸,并且,随着空间非均匀激光场位置由负向到正向移动(-100 a.u.到100a.u.),谐波截止得到进一步延伸.但是He核辐射谐波强度依然大于H核.最后,通过叠加谐波可获得脉宽在60 as的超短脉冲.     

HeH2+分子谐波辐射的空间分布

理论研究了HeH2+分子发射高次谐波的空间分布情况。结果表明：分子谐波发射主要集中在He核和H核附近。当核间距离较小时,He核辐射谐波强度要比H核辐射谐波强度高2~3个数量级。当核间距离较大时,He核辐射谐波强度要比H核辐射谐波强度高4~5个数量级。当空间非均匀激光场引入后,谐波截止能量得到延伸,并且,随着空间非均匀激光场位置由负向到正向移动(-100 a.u.到100 a.u.),谐波截止得到进一步延伸。但是He核辐射谐波强度依然大于H核。最后,通过叠加谐波可获得脉宽在60 as的超短脉冲。     

HeH2+分子谐波辐射的空间分布

理论研究了HeH2+分子发射高次谐波的空间分布情况。结果表明：分子谐波发射主要集中在He核和H核附近。当核间距离较小时,He核辐射谐波强度要比H核辐射谐波强度高2~3个数量级。当核间距离较大时,He核辐射谐波强度要比H核辐射谐波强度高4~5个数量级。当空间非均匀激光场引入后,谐波截止能量得到延伸,并且,随着空间非均匀激光场位置由负向到正向移动(-100 a.u.到100 a.u.),谐波截止得到进一步延伸。但是He核辐射谐波强度依然大于H核。最后,通过叠加谐波可获得脉宽在60 as的超短脉冲。     

Nuclear longitudinal form factors for axially deformed charge distributions expanded by nonorthogonal basis functions

In this paper,the nuclear longitudinal form factors are systematically studied from the intrinsic charge multipoles.For axially deformed nuclei,two different types of density profiles are used to describe their charge distributions.For the same charge distributions expanded with different basis functions,the corresponding longitudinal form factors are derived and compared with each other.Results show the multipoles C_λ of longitudinal form factors are independent of the basis functions of charge distributions.Further numerical calculations of longitudinal form factors of~(12)C indicates that the C_0 multipole reflects the contributions of spherical components of all nonorthogonal basis functions.For deformed nuclei,their charge RMS radii can also be determined accurately by the C_0 measurement.The studies in this paper examine the model-independent properties of electron scattering,which are useful for interpreting electron scattering experiments on exotic deformed nuclei.