任意偏振激光作用下二维模型H原子的谐波发射

采用二维渐近边界条件和辛算法数值求解了任意偏振激光和H原子相互作用的二维含时Schrödinger方程的无穷空间初值问题. 计算了二维H原子在不同偏振激光作用下的谐波发射,得到各种椭圆率下谐波谱的特点与已有文献结果一致.通过电子的基态布居概率和某一时刻的概率密度分布以及电子的平均位移,对不同椭圆率下谐波谱的特点进行了分析. 结果表明,将渐近边界条件和辛算法推广到二维是合理和有效的. 关键词： 二维渐近边界条件 辛算法 任意偏振激光 高次谐波     

激光与二维多势阱系统相互作用下的谐波发射

采用二维渐近边界条件和辛算法数值求解激光与多势阱系统相互作用的二维含时Schr(o|¨)dinge方程的无穷空间初值问题.计算二维多势阱系统分别在线偏振激光和圆偏振激光作用下的谐波发射,得到不同模型发射谐波谱的特点,说明多势阱环境有利于高次谐波的发射.     

激光与二维多势阱系统相互作用下的谐波发射

采用二维渐近边界条件和辛算法数值求解了激光和二维多势阱系统互作用的二维含时Schrödinger方程的无穷空间初值问题。计算了二维多势阱系统分别在线偏振激光和圆偏振激光作用下的谐波发射,得到不同模型发射谐波谱的特点,说明多势阱环境有利于高次谐波的发射。     

双色场中高次谐波转化效率提高的数值研究

采用渐近边界条件和辛算法数值求解了双色激光场分别与模型Pschl-Teller势和模型He⁺相互作用的含时Schrdinger方程的无穷空间初值问题,计算了电离概率、电子平均位移、高次谐波与跃迁概率;数值结果显示,添加适当的倍频光的双色激光场使高次谐波转化效率极大提高,并给出定性与定量分析. 关键词： 辛算法 双色激光场 高次谐波 定量分析     

双色激光场中高次谐波转化效率的提高

采用渐近边界条件和辛算法数值求解双色激光场与模型P?schl-Teller势相互作用的含时Schr?dinger方程，计算了电离概率、平均位移、高次谐波以及跃迁概率；数值结果显示添加6倍频光的双色激光场能使高次谐波转化效率明显提高.分析了双色激光场极大地提高高次谐波转化效率的机理，并且通过对产生特定级次谐波的跃迁概率的计算，给出高次谐波转化效率提高的具体数值. 关键词： 渐近边界条件 辛算法 双色激光场 高次谐波     

强激光场中一维原子的渐近边界条件

用Fourier变换推导了强激光场中一维原子模型的渐近边界条件,分析了三类渐近边界条件的误差,用第一类渐近边界条件和非齐线性正则方程的辛算法计算了强激光场中一维氢原子的几率分布和平均能量,并将结果与理论分析进行了比较.     

一维强场模型研究中的非齐线性正则方程的辛算法

就一维强场模型,采用对称差商代替空间变量的2阶偏导数,将含有SchrÖdinger方程的初边值问题离散成"非齐线性正则方程",它的齐方程的通解和非齐方程特解都由"辛变换生成",分别采用辛格式计算.采用这种辛算法和R-K法计算了一个数值例子,并与精确解作了比较.结果表明,经长时间计算后,辛算法保持解的固有特征,而R-K法则面目全非.     

量子系统保结构计算新进展

本文主要介绍量子系统保结构计算最新进展情况,分以下几部分内容:哈密顿系统的辛算法、适合于量子系统的哈密顿量显含时间的辛算法、A2B模型分子和双原子分子系统的经典轨迹辛算法计算、双原子分子CO在激光场中的经典轨迹的辛算法计算及其振动和解离、定态Schr dinger方程的辛形式及求解定态Schr dinger方程本征值问题的辛 打靶法、含时Schr dinger方程的保结构算法及其在激光原子物理中的应用、伪分立态模型、强激光与原子相互作用的渐近边界条件、"非齐线性正则方程"的辛算法及其在计算强激光场中一维原子的多光子电离和高次谐波发射中的应用以及Heisenberg方程的保结构计算等等。     

量子系统保结构计算新进展

本文主要介绍量子系统保结构计算最新进展情况,分以下几部分内容:哈密顿系统的辛算法、适合于量子系统的哈密顿量显含时间的辛算法、A2B模型分子和双原子分子系统的经典轨迹辛算法计算、双原子分子CO在激光场中的经典轨迹的辛算法计算及其振动和解离、定态Schr dinger方程的辛形式及求解定态Schr dinger方程本征值问题的辛 打靶法、含时Schr dinger方程的保结构算法及其在激光原子物理中的应用、伪分立态模型、强激光与原子相互作用的渐近边界条件、"非齐线性正则方程"的辛算法及其在计算强激光场中一维原子的多光子电离和高次谐波发射中的应用以及Heisenberg方程的保结构计算等等。     

高阶辛算法在典型量子器件模拟中的应用

利用辛积分和高阶交错差分方法建立了求解含时薛定谔方程的高阶辛算法(SFDTD(4,4)).对空间部分的二阶导数采用四阶准确度的差分格式离散得到随时间演化的多维系统再引入四阶辛积分格式离散;探讨了SFDTD(4,4)法的稳定性,获得了含时薛定谔方程的一维以及多维的稳定性条件,并得到在含势能情况下该稳定性条件的具体表达式;借助复坐标沿伸概念,实现了SFDTD(4,4)法在量子器件模拟中的完全匹配层吸收边界条件.结合一维量子阱和金属场效应管传输的仿真,结果表明较传统的时域有限差分算法,SFDTD(4,4)有着更好的计算准确度,适用于长时间仿真.算法及相关结果可为实际量子器件的设计提供必要的参考.     

Photoelectron momentum distributions of Ne and Xe dimers in counter-rotating circularly polarized laser fields

The strong-field ionization of dimers is investigated theoretically in counter-rotating circularly polarized laser fields. By numerically solving the two-dimensional (2D) time-dependent Schrödinger equation (TDSE) with the single-electron approximation (SEA) frame, we present the photoelectron momentum distributions (PMDs) and photoelectron angular distribution (PADs) of aligned Ne and Xe dimers. It is found that the PMDs and PADs strongly depend on the time delays by counter-rotating circularly polarized laser pulses. The results can be explained by the ultrafast photoionization model and the evolution of electron wave packets for Ne and Xe dimers. Besides, We make a comparison of PMDs between Ne atom and Ne dimer.     

Quantum systems with effective and time-dependent masses: form-preserving transformations and reality conditions

We study the time-dependent Schrödinger equation (TDSE) with an effective (position-dependent) mass, relevant in the context of transport phenomena in semiconductors. The most general form-preserving transformation between two TDSEs with different effective masses is derived. A condition guaranteeing the reality of the potential in the transformed TDSE is obtained. To ensure maximal generality, the mass in the TDSE is allowed to depend on time also.     

少周期激光脉冲附加太赫兹场对高次谐波发射的影响

本文通过数值求解非伯恩奥本海默近似下电子一维核一维的含时薛定谔方程,研究了少周期线偏振激光与氢分子离子相互作用下,太赫兹场的加入对高次谐波的发射影响.我们发现,在短周期线偏振激光脉冲的y方向上附加一个强度较弱的太赫兹场可以有效地扩展谐波的截止位置,并对量子轨道实现调控.通过时频分析、电子波包随时间变化以及半经典三步模型研究了高次谐波发射的物理机制,并对获得的物理现象给出合理的解释.     

Generation of elliptical isolated attosecond pulse from oriented H2+ in a linearly polarized laser field

We investigate the ellipticity of the high-order harmonic generation from the oriented H₂⁺ exposed to a linearly polarized laser field by numerically solving the two-dimensional time-dependent Schrödinger equation (2D TDSE). Numerical simulations show that the harmonic ellipticity is remarkably sensitive to the alignment angle. The harmonic spectrum is highly elliptically polarized at a specific alignment angle θ=30°, which is insensitive to the variation of the laser parameters. The position of the harmonic intensity minima indicates the high ellipticity, which can be attributed to the two-center interference effect. The high ellipticity can be explained by the phase difference of the harmonics. This result facilitates the synthesis of a highly elliptical isolated attosecond pulse with duration down to 65 as, which can be served as a powerful tool to explore the ultrafast dynamics of molecules and study chiral light-matter interaction.     

Multiphoton and tunneling ionization of atoms in an intense laser field

We study the ionization probabilities of atoms by a short laser pulse with three different theoretical methods,i.e.,the numerical solution of the time-dependent Schro¨dinger equation(TDSE),the Perelomov-Popov-Terent’ev(PPT) theory,and the Ammosov-Delone-Krainov(ADK) theory.Our results show that laser intensity dependent ionization probabilities of several atoms(i.e.,H,He,and Ne) obtained from the PPT theory accord quite well with the TDSE results both in the multiphoton and tunneling ionization regimes,while the ADK results fit well to the TDSE data only in the tunneling ionization regime.Our calculations also show that laser intensity dependent ionization probabilities of a H atom at three different laser wavelengths of 600 nm,800 nm,and 1200 nm obtained from the PPT theory are also in good agreement with those from the TDSE,while the ADK theory fails to give the wavelength dependence of ionization probability.Only when the laser wavelength is long enough,will the results of ADK be close to those of TDSE.     

正交偏振双色激光场作用下高次谐波的椭偏特性研究

通过数值求解二维含时薛定谔方程,理论研究了正交偏振双色激光场作用下H2+分子高次谐波发射和孤立阿秒脉冲的产生. 数值结果显示,改变激光场的强度比,可以调控高次谐波强度以及谐波椭偏率. 结果表明随着场强比的增加,y方向的谐波强度不断提高. 当场强比为1:2.5时,x方向和y方向分别仅有奇次谐波和偶次谐波产生,并且偶次谐波的强度比奇次谐波强度高2-3个数量级. 此时,奇次谐波的椭偏率最大可以达到0.3,偶次谐波的椭偏率接近于0. 此外,通过改变分子的准直角可以控制谐波的椭偏率,基于这一现象,利用椭圆偏振高次谐波的平台区合成了椭偏率为0.05的椭圆偏振阿秒脉冲链.     

Form-Preserving Transformations of Time-Dependent Schrödinger Equation with Time- and Position-Dependent Mass

We study space-time transformations of the time-dependent Schrödinger equation (TDSE) with time- and position-dependent (effective) mass. We obtain the most general space-time transformation that maps such a TDSE onto another one of its kind. The transformed potential is given in explicit form.     

Millimeter Wave Scattering of 2-D Frequency Selective Surface by Efficient Method of Lines with Preconditioned CG Technique

In this paper, both banded and symmetric successive overrelaxation (SSOR) preconditioned conjugate gradient (PCG) techniques are combined with method of lines (MOL) to further enhance the computational efficiency of this semi-analytic method. The electromagnetic wave scattering of 2-D frequency-selective surface is used as the examples to describe its implementation, whose analysis usually needs fast algorithms because of electrically large dimension. For arbitrary incident wave, helmholtz equation and boundary condition are used to calculate the impedance matrix and then to obtain reduced current-voltage linear matrix equation in spatial domain. Both banded and effective symmetric successive overrelaxation preconditioned conjugate gradient iterative method are chosen to solve this matrix equation. Our numerical results show that PCG methods can converge to accurate solution in much fewer iteration steps for analysis of the electromagnetic wave scattering from 2-D frequency-selective surface.