一种基于Zernike多项式的波前探测和重构方法

运用Ｎｏｌｌ建议的Ｚｅｒｎｉｋｅ多项式形式表征大气扰动的波面，求出由两个离焦面上的光强分决定的Ｚｅｒｎｉｋｅ多项式的前ｎ项在特定的探测器上的响应矩阵Ｒ。由Ｒ和输入的随机波面在两个离焦面上的光强分布，可方便地求出其Ｚｅｒｎｉｋｅ多项式的系数，从而实现了波前的探测和重构。采用光线追迹的变方法，用计算机模拟验证了这种方法的原理和可行性。     

电磁脉冲在迎面而来的电离波阵的反射

通过解析计算研究了电磁脉冲在迎面而来的电离波阵反射后出现的频率上移、脉宽压缩及能量放大，并对实现上述目标最为有利的工作条件进行了讨论．     

电子碰撞电离截面的全相对论扭曲波计算

在相对论框架下 ,给出了电子与高电荷态离子碰撞直接电离截面的扭曲波玻恩交换近似计算方法 .作为示例 ,计算了几个离子 (类氢、类锂和类氖离子 )的电离截面 ,计算结果与实验值和其它理论计算值有比较好的符合. A fully relativistic distorted-wave exchange approximation method is presented. It can be used to obtain electron impact ionization cross section of highly charged ions. The ionization cross sections of several H-, Li, and Ne-like ions have been calculated. Good agreement is obtained while the calculated values are compared with the experiments or other relativistic calculations.     

激光脉冲在气体中产生的离化波前的演化及其对光脉冲传播的影响

利用带离化子程序的一维粒子模拟程序,对光脉冲与离化波前的相互作用进行了模拟研究,讨论了在原子多度电离的情况下光脉冲与离化波前的相互作用关系.研究表明,由于原子各级离化势的不连续性使得离化波前在空间上出现平台区;离化过程导致激光频率发生蓝移,这个蓝移又对脉冲形状产生调制,使脉冲前沿呈阶跃型增长;阶跃型的光脉冲包络使离化波前的平台区变短,直至整个离化波前分为几个不同梯度的区域.还讨论了不同元素和不同密度的气体中产生的离化波前的特点.同时分析了光脉冲频率随传播距离的关系,指出由于光脉冲宽度的增加,将导致出射的光关键词：激光等离子体光电离离化波前激光频率上转换     

电子与高电荷离子碰撞的细致能级电离截面的相对论计算

电子离子碰撞电离的细致能级截面在X射线激光等需要确定能级布居数的高技术研究中有非常重要的意义.本文给出了在全相对论框架下利用扭曲波波恩交换近似计算细致能级电离截面的方法.作为示例,计算了若干高电荷离子细致能级的电离截面,并分析了组态相互作用的影响.计算结果与其它理论值进行了比较,获得了较好的符合.     

二维氢原子的相对论修正

求解了二维氢原子的Ｄｉｒａｃ方程,得到了精确的相对论能级与波函数,并详细讨论了非相对论极限。     

相对论返波管注-波作用不稳定区的研究

 以环形电子注驱动的、正弦型周期慢波结构的相对论返波管（RBWO）为模型,理论推导出RBWO慢波结构的色散方程,画出了不包括和包括电子注的色散曲线,然后采用在复平面上绘制等高线图进行逼近的方法对注-波作用不稳定区工作频率的实部和虚部进行了求解,绘出了完整的包括电子注的慢波结构色散关系曲线,并估算了微波的时间增长率和能量转换效率。研究得出：当a（电子注电流参数）较大时,电磁波与慢电荷波的相互作用是不稳定的;而在a较小时,注-波相互作用具有明显的三波作用的特点;微波增长是通过注-波不稳定作用引起的;随着a的增大,微波时间增长率先增大后减小,在a为0.02时有最大值1.37,此时的能量转换效率为19%;增大电子注半径或慢波结构的波纹深度都可以增强注-波不稳定作用。     

相对论离子与氦二聚体碰撞电离的理论研究

基于对称程函近似,从理论角度研究了相对论离子与氦二聚体碰撞双电离的直接碎裂通道：由入射离子与两个原子的作用造成的双电离。从不同的近似角度出发,建立了两个理论模型,第一个模型将氦二聚体的两个原子看做一个整体,而另外一个模型完全忽略了两个氦原子之间的相互作用。模型的数值计算结果表明,总截面与氦二聚体的空间取向有很强的依赖关系,当氦二聚体与入射离子束流平行时,总截面达到最大值,在垂直时为最小值。进一步研究发现,模型一的结果在氦二聚体核间距较小时更为合理,核间距较大时,模型二更为精确。     

局域体全息光栅衍射的平面波与柱面波的波前转换研究

利用一维耦合波理论研究了入射方向相互垂直的一束平面波与一束柱面波干涉形成光折变局域体全息光栅的波前转换情况。给出了透射波和衍射波振幅的解析表达式。讨论了该局域体全息光栅的几何尺寸以及全息透镜的焦距对光栅衍射效率的影响。结果表明,随着光栅横向尺寸的增加,光栅的衍射效率也逐渐增加。然而,光栅的衍射效率却随着光栅纵向尺寸的增加而减小。全息透镜的焦距越长,光栅的衍射效率也越大。此外,分析了光栅的布拉格选择特性,该光栅具有非常好的角度选择特性。在平面波与柱面波干涉形成全息透镜的设计中,为了获得最优的衍射效率,应当根据要求合理地选择记录所用柱面波和设计光栅的几何尺寸。     

光栅波像差对脉冲压缩的影响

 采用光线追迹的方法,对脉冲压缩光栅系统波像差进行理论研究,构建了有像差脉冲压缩光栅对分析模型,使用该模型通过模拟计算得出了波像差对脉冲压缩效果的影响。理论分析结果表明：脉冲压缩光栅系统最大波像差不大于λ/4时,脉冲压缩比的最大变化率约为2%。脉冲压缩光栅对系统达到衍射极限时,在选择适当的入射角度时,光栅波像差所引起的脉冲压缩比变化并不大。     

The effect of the relativistic Hartree-Fock-Roothaan momentum distribution in the binary encounter approximation for inner shell ionization

K- and L-shell ionization cross sections of gold due to impact of proton and alpha particles have been calculated in the binary encounter approximation incorporating the effects of Coulomb deflection of the projectile, of increase in binding of the target electron, and of polarization and relativity. Relativistic Hartree-Fock-Roothaan (RHFR) momentum distributions for the target electron along with an approximate relativistic correction to the collision dynamics have been used in the present calculations. A comparison with the corresponding calculations using non-relativistic Hartree-Fock-Roothaan wave functions, experimental results and other available calculations is presented.     

Relativistic Schrödinger Theory and the Hartree–Fock Approach

Within the framework of Relativistic Schrödinger Theory (RST), the scalar two-particle systems with electromagnetic interactions are treated on the basis of a non-Abelian gauge group U(2) which is broken down to the Abelian subgroup U(1)×U(1). In order that the RST dynamics be consistent with the (non-Abelian) Maxwell equations, there arises a compatibility condition which yields cross relationships for the links between the field strengths and currents of both particles such that self-interactions are eliminated. In the non-relativistic limit, the RST dynamics becomes identical to the well-known Hartree–Fock equations (for spinless particles). Consequently the original RST field equations may be considered as the relativistic generalization of the Hartree–Fock equations, and the exchange interactions of the conventional theory (induced by the anti-symmetrization postulate) do reappear here as ordinary gauge interactions due to a broken symmetry.     

Calculation of triple differential cross-sections ofK-shell ionization of medium-heavy atoms by electrons for symmetric geometry

Triple differential cross-section forK-shell ionization of medium-heavy atoms by relativistic electrons has been calculated for coplanar symmetric geometry. In this calculation the final state is described by a non-relativistic wave function of Das and Seal [Phys. Rev. A47 (1993) 2978] multiplied with suitable spinors. Results of the present calculation are compared with the available experimental data and with other theoretical calculations.     

Quaternionic Lorentz Group and Dirac Equation

We formulate Lorentz group representations in which ordinary complex numbers are replaced by linear functions of real quaternions and introduce dotted and undotted quaternionic one-dimensional spinors. To extend to parity the space-time transformations, we combine these one-dimensional spinors into bi-dimensional column vectors. From the transformation properties of the two-component spinors, we derive a quaternionic chiral representation for the space-time algebra. Finally, we obtain a quaternionic bi-dimensional version of the Dirac equation.     

Inheriting geodesic flows

We investigate the propagation equations for the expansion, vorticity and shear for perfect fluid space-times which are geodesic. It is assumed that space-time admits a conformal Killing vector which is inheriting so that fluid flow lines are mapped conformally. Simple constraints on the electric and magnetic parts of the Weyl tensor are found for conformal symmetry. For homothetic vectors the vorticity and shear are free; they vanish for nonhomothetic vectors. We prove a conjecture for conformal symmetries in the special case of inheriting geodesic flows: there exist no proper conformal Killing vectors (ψ _;ab ≠ 0) for perfect fluids except for Robertson-Walker space-times. For a nonhomothetic vector field the propagation of the quantity ln (R _ab u ^a u ^b ) along the integral curves of the symmetry vector is homogeneous.     

类铍C III, N IV, O V离子的基态和亚稳态的直接单电离截面计算

本文使用相对论扭曲波近似计算了基态(1s22s2 1S)和亚稳态(2s2p 3P)的类铍C III, N IV和O V离子的电子碰撞直接单电离截面。计算中包括了基态的2s壳层和亚稳态的2s、2p壳层的直接单电离而没有包括1s子壳层。其结果与现有的理论和实验数据进行了比较,相对论扭曲波近似结果在外型和大小上都与近期的实验数据很一致,且与其他理论结果相比,在近阈和高能范围内与实验数据符合得更好。     

Al,Ti,Cu,Mo原子的K壳层电离截面的理论计算

电子离子碰撞过程是模拟激光等离子体的超热电子的能谱和产额的主要过程之一。基于相对论性的电子离子碰撞的K壳层的电离截面理论,计算了Al,Ti,Cu,Mo原子的K壳层的电子离子碰撞截面,结果和最近的文献实验数值和其它理论数值进行了比较,计算结果可用来模拟激光等离子体的超热电子能谱和产额。     

A linear relativistic model of processes with causal faster-than-light effects

To get a synthesis of causal faster-than-light effects and signals that do not propagate faster than light by using local, covariant, linear equations of motion, we propose the following hypothesis. Free fields that propagate signals according to the Klein-Gordon, Dirac, Proca or Maxwell equations, are actually describing only smoothed-out, average properties of underlying causal transport processes of point like entities with arbitrary four-momenta, the states of which are described by a scalar, spinor or four-vector field that satisfies a local, covariant, linear transport equation. An example of such a linear, causal, covariant transport process is shown to display causal faster-than-light effects, to propagate signals not faster than light, and to contain the Klein-Gordon equation as a limiting case. An analogous transport model displays causal, four-vector, faster-than-light effects, and also distinctive four-vector, long-range and short-range effects that do not propagate faster than light.