cis-[PtDMBA(ClCH_2CO_2)_2]晶体双相角结构不变量的符号分布

本文计算了cis-[PtDMBA(ClCH_2CO_2)2]晶体的双相角结构不变量ψ_2=ψ_H ψ_H,统计了其值为负时ψ_2随E的分布情况。对该晶体的计算结果表明,对于具有实际意义的较大E值的ψ,都能用Hauptman概率式给出可靠的符号估计。五个柯卡因及其衍生物晶体的结果也支持这一结论。     

双光束干涉法测量双棱镜的楔角

在双光束干涉实验中测量出干涉条纹间距,在波长已知的条件下计算出虚光源的间距。利用光的折射定律可推导出虚光源间距和双棱镜的楔角的关系,从而计算出双棱镜的楔角。     

双波长飞秒激光器量子理论研究

本文建立了一个不涉及具体光腔结构的双波长固体飞秒激光器模型,分析了群达弥散(GVD)、自相位调制(SPM)、交叉耦合、损耗调制和增益放大的动态平衡过程.从场算符的定义出发,导出了双波长飞秒激光器的量子锁模方程组,并且将该量子销模方程组化为经典锁模方程组.结果表明,该方程组和非线性薛定谔方程有着类似的结构,方程组存在稳定的脉冲解,因而从理论上证明了双波长飞秒激光器可以实现双波长同时锁模.     

cis-[PtDMBA(ClCH2CO2)2]晶体双相角结构不变量的符号分布

本文计算了cis-[PtDMBA(ClCH₂CO₂)₂]晶体的双相角结构不变量ψ₂=ψ_H+ψ_H,统计了其值为负时ψ₂随|E|的分布情况。对该晶体的计算结果表明,对于具有实际意义的较大|E|值的ψ₂,都能用Hauptman概率式给出可靠的符号估计。五个柯卡因及其衍生物晶体的结果也支持这一结论。 关键词：     

双棱镜改变写入Bragg波长的相位掩模技术

将一种可旋转的双棱镜引入到相位掩模技术中以改变光栅的写入Bragg波长.在该系统中,光纤光栅是由来自可旋转双棱镜所形成的波长为248 nm的紫外干涉条纹写入的,其中,相位掩模被用作 1级衍射光的分束器,通过双棱镜的旋转可改变两写入光束的交叉角.为了初始化Bragg波长的参考值,双光栅的顶角由相位掩模的 1级衍射角和双棱镜的折射率确定.因为在～100 nm范围内两光束的非对称旋转对光栅周期的改变是5×10~(-4) nm,双棱镜引入的光栅的闪耀可忽略.当Bragg波长的移位为1 nm时,棱镜最大的旋转角为～1 degree,最小的旋转角是～2.4 min.与Talbot干涉仪中平面镜的旋转角～23 s/nm相比,该相位干涉仪中棱镜的旋转精度降低了2～3个数量级.     

等效折射率为非-1时的亚波长成像

本文采用硅柱子周期性排列构成六角结构光子晶体,用平面波展开方法和FDTD方法研究表明,此结构光子晶体存在等效折射率接近-1的频率区域.在等效折射率趋于-1但不等于-1时,此光子晶体平板结构超透镜能形成一个非近场的像.模拟还发现,此结构平板光子晶体等效折射率为非-1时,可以亚波长成像. 关键词： 负折射 光子晶体 亚波长 成像     

双沃拉斯顿棱镜光强分束比精确分析

利用折射定律,介质膜两侧折射率不同时多光束干涉理论和菲涅耳公式,精确推导了双沃拉斯顿棱镜的光强分束比的具体表达式。以公式为基础,通过Matlab软件数值模拟作图分析光强分束比随入射角、入射波长和结构角的变化关系曲线。结果表明:在棱镜为介质胶合型时,光强分束比随入射角和入射波长的变化很小,光强分束比基本为1;棱镜为空气胶合型时,光强分束比随入射角,结构角和波长的变化很大。两种情况下,光强分束比随各参量的变化基本呈周期性变化。     

双阱结构含时量子输运的微扰论及输运方程

利用Lewis-Riesenfeld不变量理论和与不变量有关的幺正变换方法研究了双阱结构含时量子 输运的微扰论.获得了双阱内含时薛定谔方程的精确解的完备集，在此基础上，把双阱与左 右热库的相互作用作为微挠，获得了双阱结构一阶近似下的输运方程，并在绝热近似下提供 了一种用于研究量子输运过程中几何相因子(Berry相因子)的方法. 关键词： 含时量子输运 输运方程 不变量 几何相因子     

用单光纤光栅实现扭转与温度的双参量传感测量

采用一种新颖的扭梁设计结构 ,利用单光纤光栅成功地实现了扭转 (扭转角或扭矩 )与温度的双参量同时测量。该方法能够有效地解决扭转角与温度的交叉敏感问题 ,且光纤光栅波长的变化对扭转角、扭矩及扭应力 (力臂一定时 )均呈线性关系。在 - 40°～ +32°范围内 ,扭转角、扭矩和温度的传感灵敏度分别达到 0 .19nm (°)、3.2 9nm Nm和 0 .0 3nm ℃ ,波长线性调谐范围可达 14.2 0nm。     

光频段双层手征结构光学特性及负折射率研究

设计了一种工作在光波段的新型四重对称的双层手征结构,通过数值模拟得到透射系数和反射系数,反演计算了结构的圆二色性、旋光角、手征参数和折射率。结果表明该结构在谐振波长附近具有很强的旋光性,并且在椭偏度为零时,即透射光变成完全线偏振光时,旋光角达到了55°;在一定波段内可以实现左旋圆偏振光(LCP)和右旋圆偏振光(RCP)的负折射率,且不需要介电常数和磁导率同时为负,更重要的是,实现负折射率的左旋圆偏振光(LCP)具有较宽的频带,不局限于谐振波长附近,在椭偏度为零时,折射率也为负。考虑到具体的实验制作,对加衬底的手征结构进行了数值模拟,结果表明谐振波长向长波长方向产生了偏移,完全线性偏振光的旋光角仍然有40°。     

Phase retrieval in two-wavelength DSSI using a combined filtering method

Phase retrieval in two-wavelength DSSI (digital speckle shearing interferometry) using a combined filtering method is proposed for small deformation derivative measurement. A simultaneous two-wavelength illumination and 3-CCD camera are employed in the experimental setup. The proposed method, which uses a two-wavelength technique does not require the conventional spatial phase unwrapping and has the advantage of good noise suppression for phase retrieval. Experimental results obtained show that using the proposed combined filtering method sensitivity similar to the single wavelength technique can be achieved.     

微扰Kepler系统轨道微分方程的近似Lie对称性与近似不变量

把极角θ视为独立变量,得到Kepler系统的轨道微分方程.首先讨论Kepler系统轨道微分方程的Lie对称性和不变量,微扰Kepler系统轨道微分方程的精确Lie对称性和精确不变量,其次讨论微扰Kepler系统轨道微分方程的近似Lie对称性和近似不变量,并得到了微扰Kepler系统的9个一阶近似Lie对称性和6个一阶近似不变量,其中1个实为精确不变量,而其余5个分别等于微扰系数ε乘以Kepler系统相应的5个不变量。     

Adsorption position of oxygen on the Pt(111) surface

The adsorption position of oxygen on the clean Pt(111) surface has been determined by means of the transmission channeling technique. Oxygen adsorbs in a well ordered p(2 × 2) overlayer structure at temperatures 200 T 350 K. From an analysis of the angular scans along the [111], [110] and [100] axial directions it is concluded that the O atoms are adsorbed in the fcc three-fold hollow site exclusively at a height of 0.85 ± 0.06 Å above the Pt surface layer. From a narrowing of the [111] angular O scan, the O RMS displacement parallel to the surface is found to be 0.16 ±0.03 Å.     

Reliability in reconstruction of the axisymmetric refractive index profiles from transverse interferograms. Accurate versus approximate methods: A comparative study

A mathematical formalism related to the approximate as well as the accurate interferometric data reduction schemes is briefly outlined and subsequently applied in the reconstruction of the assumed (Luneburg) axisymmetric refractive index distribution. The presented comparative analysis confirms the generally held opinion that the approximate methods (“straight-line” and Kokubun-Iga approaches) may provide quite reasonable results in the examination of refractively inhomogeneous disturbances characterized by weak gradient and moderate index variation. On the other hand, the accurate scheme for transverse interferometric data interpretation and reduction, based on the close-form correlation between the fringe shift and the deflection function, [1] remains the only method for reliable reconstruction of strongly refracting index profiles, independently of magnitude of refraction and ambiguity of the fringes. This fact is of considerable importance for transverse interferometry of fibers (preform rods) and/or GRIN-rod lenses characterized by high numerical apertures.     

Anharmonic oscillators energies via artificial perturbation method

A new pseudoperturbative (artificial in nature) methodical proposal [#!ref15!#] is used to solve for Schr?dinger equation with a class of phenomenologically useful and methodically challenging anharmonic oscillator potentials . The effect of the [#!ref4!#,#!ref5!#] Padé approximant on the leading eigenenergy term is studied. Comparison with results from numerical (exact) and several eligible (approximation) methods is made. Received 2 July 1999 and Received in final form 18 November 1999     

Perturbed Lie Symmetry and Systems of Non-Linear Diffusion Equations

Abstract

The method of one parameter, point symmetric, approximate Lie group invariants is applied to the problem of determining solutions of systems of pure one-dimensional, diffusion equations. The equations are taken to be non-linear in the dependent variables but otherwise homogeneous. Moreover, the matrix of diffusion coefficients is taken to differ from a constant matrix by a linear perturbation with respect to an infinitesimal parameter. The conditions for approximate Lie invariance are developed and are applied to the coupled system. The corresponding prolongation operator is derived and it is shown that this places a power law and logarithmic constraints on the nature of the perturbed diffusion matrix. The method is used to derive an approximate solution of the perturbed diffusion equation corresponding to impulsive boundary conditions.     

正常导体-超导体(n-s)多层薄膜系统的电子态

本文是文献[1—3]工作的继续,在前面工作中发展的方法被推广到讨论半无限n-s多层膜结构的电子态,构造这种系统的步骤如下:首先把一完整无限的晶体沿两个分开的原子平面切割开得一晶体薄膜,它可以是正常金属也可以是超导体;然后把薄膜A和B通过金属型接触形成一混合单元O;最后沿垂直于界面方向依次排上单元O构成一半无限多层膜结构,我们导出了上述每一步所对应的单位子格林函数,对两种不同正常金属组成的多层膜结构,给出了单粒子状态密度和能带的数值计算结果,当两种正常金属相同时,所得的公式结果与文献[7]等价,进而,对薄膜 关键词：     

Subgrid modelling for particle-LES by Spectrally Optimised Interpolation (SOI)

This paper focuses on Large-Eddy simulation of particle-laden flow. We present a novel model for the effect of unresolved scales on the particles. The model can be regarded as an extension of the approximate deconvolution method towards higher wavenumbers. The basis of the model is a specific interpolation method which is constructed such that the spectrum seen by the particles attains a model spectrum. Thus, the model is called Spectrally Optimised Interpolation (SOI). The model is developed and tested in the framework of homogeneous isotropic turbulence. A comparison of SOI against ADM [J.G.M. Kuerten, Subgrid modelling in particle-laden channel flow, Phys. Fluids 18 (2006) 025108] shows that in particular in coarse LES, SOI is far more accurate than ADM. The computational costs for SOI are comparable to fourth order interpolation. Possible extensions of the model for general flows are briefly sketched.     

半无限准周期原胞半导体超晶格的表面等离子激元

本文把文献[1,2]的方法推广用于一个更普适的模型,导出了一个适用范围较大的条件,由此出发计算了半无限的第Ⅰ类、第Ⅱ类和Ⅱ-Ⅵ族半导体超晶格的表面等离子谱。结果表明,由于准周期原胞超晶格对于垂直于超晶格轴的截面,不存在反映对称性,因之当表面取在原胞的F_m个不同界面上时(F_m,是Fibonacci数),其表面模式有千姿百态的变化。这种变化有一定的规律,因之这方面的研究将使我们有可能根据理论或实验研究的需要,来设计特定的半无限准周期原胞超晶格,使其表面等离子谱具有期 关键词：     

Glueball masses and string tension Smeared loop-loop correlation functions

By using results obtained by the Ape Collaboration [1] we study the glueball spectrum and the string tension in lattice QCD by analyzing correlation functions between operators. We use and discuss the smearing method. We consider a 5³ × 16 lattice at β = 5.6 as a test case, and a 12³ × 32 lattice at β = 5.9 in order to compare with the old wall results of ref. [3]. We study the structure of the excited states.