激光偏振性的量子理论与实验研究

本文建立了激光偏振性的全量子理论。分析了各向异性腔中多模运转下激光束的偏振特性。给出He-Ne激光器在6328振荡谱线上各模相互间角度随各向异性变化的基本方程、计算曲线及偏振组态。本文还给出了由应力导致相位各向异性对模式偏振性影响的实验结果。理论分析与实验结果相符。     

流体饱和多孔介质中热发展强迫对流的熵产分析

利用Darcy流动模型,同时考虑粘性耗散效应,分析研究了以两等温平板为边界的多孔介质中,热发展强迫对流的熵产.参数研究表明,组参数和Péclet数减小,而Brinkman数增大时,熵产增大.形象化的热线表示方法着重应用于Br＜0的情况,在这种情况下,在顺流的某些位置上,存在热传递方向的改变,即从原来的壁面向外传热变为向壁面传热.     

透视画法的几何研究与计算机作图

对文艺复兴时写实绘画所采用的透视画法进行了精确的数学描述,并利用所得结论给出了使用计算机进行作图的方法.     

如何给工科学生讲波函数(1)

本文介绍作者在华中理工大学给二年级工科学生讲波函数的思路与方法．     

也论电位移矢量D仅与自由电荷分布有关的条件

电位移矢量是一辅助矢量，它的引入为计算一些介质问题提供了方便．但由于普物中的静电场介质问题，绝大多数为均匀介质问题，这就使学生常常产生“电位移矢量仅与自由电荷分布有关”的误解．文献［１］对此问题作了说明，但其推导和结论都有些不足．本文试图给出Ｄ仅与电荷分布有关的一般条件式，并对各种电介质进行分析，最后对有关问题做出简略说明．     

标值累计映射

本文证明随机矢量值测度的存在定理以及便于应用的另一形式存在定理，并用它证明将稀疏算子的表达式中的两点分布的概率函数换为非负实值随机过程的概率分布所得的标值累计映射的存在定理。稀疏算子的绝大部分性质被平行推广到标值累计映射。     

Electromagnetic tunneling through conjugated single-negative metamaterial pairs and double-positive layer with high-magnetic fields

We show that resonant tunneling of electromagnetic （EM） fields can occur through a six-layer structure con- sisting of two pairs of bilayer slabs： one＇being an epsilon-negative layer and the other being a mu-negative layer with a double-positive （DPS） medium and air. This type of tunneling is accompanied by high-magnetic field. The Poynting vector distributions and the material dissipation are studied. Our results demonstrate that the EM field in the structure is controlled flexibly by single-negative media and DPS slab. Therefore, this structure has potential applications in wireless energy transfer.     

Design on a highly birefringent and nonlinear photonic crystal fiber in the C waveband

In this paper, a novel photonic crystal fiber （PCF） with high birefringence and nonlinearity is designed. The charac- teristics of birefringence, dispersion and nonlinearity are studied by using the full-vector finite element method （FVFEM）. The numerical results show that the phase birefringence and nonlinear coefficient of PCF can be up to 4.51× 10-3 and 32.8972 w-l.km-1 at 1.55 μm, respectively. The proposed PCF could be found to have important applications in the polarization-dependent nonlinear optics such as the pulse compress and reshaping in the C waveband.     

Scattering of particles in wave beam based on series expansion

Based on the orthogonalities of the vector wave functions, the expressions of scattering fields are developed as the particle in the zero order field and in the first order fields of x, y, and z, respectively. A general relation between the expansion coefficients of scattering field and incident field is presented. Taking the elliptical beam for example, the scattering property of a particle in beam is investigated. After analyzing the effects of the beam waist, irradiating distance, etc. on scattering property, the validity of the proposed algorithm is demonstrated. Results show that the beam waist may improve the particle identification property and the particle has a strong scattering both in the forward direction and in the backward direction. The method proposed is simple and is a new way of researching the scattering from particles in electromagnetic beams.     

二氢黄酮类化合物的核磁共振碳谱模拟研究

采用表征分子内部化学微环境的结构描述子原子电负性作用矢量(Atomic Electronegativity Interaction Vector, AEIV)对255个共振碳原子进行了结构表征,应用多元线性回归技术建立了结构描述子AEIV与这些碳原子的¹³C NMR化学位移的定量相关模型.该定量结构谱图关系(定量构谱关系/QSSR)模型的复相关系数达到R_MM=0.915,标准偏差为SD_MM=14.879. 采用留一法交互检验的结果为R_CV=0.909,SD_CV=15.324. 结果表明,模型具有良好的估计力和稳定性.