部分相干光经柱面球差透镜聚焦所产生的焦移

利用Collins公式得出光强均匀部分相干光经柱面球差透镜聚焦后的轴上光强分布，并通过数值模拟的方法研究了入射光的菲涅耳数、相干度和透镜的球差对轴上点光强分布的影响.结果显示，当菲涅耳数较小、空间相干度较小的部分相干光经无球差透镜聚焦时，轴上点光强分布会产生焦移现象，而当部分相干光被球差透镜聚焦时，也会有焦移现象产生.     

双焦透镜对Bessel光束传输的影响

研究非轴对称象散光学元件双焦透镜对无衍射Bemel光束的聚焦特性.基于空间域中的广义惠更斯.菲涅耳衍射理论衍射积分,用4×4阶矩阵来描述非轴对称光学系统,导出Bessel光通过双焦透镜更为普遍和广义的光强分布表达式,并对其光强进行数值模拟.分析双焦透镜在x,y面上的焦距取不同值时对Bessel光的影响.导出的广义光强分布表达式包括了普通透镜、双焦透镜和柱透镜的所有情况.研究发现,当象散越大,图形畸变程度越大,导致得到的光学bottle beam的光束质量下降,bottle壁变形,囚禁微观粒子的能力也随之下降.     

基于紫外纳米压印的菲涅耳透镜制作

针对传统聚光系统中菲涅耳透镜成本较高并且光强分布不均匀的弊端,提出了利用紫外纳米压印技术制作菲涅耳透镜的方法.利用几何光学的光线追迹理论,设计了菲涅耳透镜模具.采用自行研制的紫外纳米压印系统对模具进行压印,紫外曝光后制得薄膜菲涅耳透镜.在太阳光下进行了测试,测试结果表明,低成本、高聚光倍数和光强分布均匀的菲涅耳透镜是可以实现的.     

基于紫外纳米压印的菲涅耳透镜制作

针对传统聚光系统中菲涅耳透镜成本较高并且光强分布不均匀的弊端,提出了利用紫外纳米压印技术制作菲涅耳透镜的方法.利用几何光学的光线追迹理论,设计了菲涅耳透镜模具.采用自行研制的紫外纳米压印系统对模具进行压印,紫外曝光后制得薄膜菲涅耳透镜.在太阳光下进行了测试,测试结果表明,低成本、高聚光倍数和光强分布均匀的菲涅耳透镜是可以实现的.     

激光二极管bar侧面泵浦Nd∶YAG激光器热效应研究

从不同侧面泵浦方式的泵浦光强分布出发,依据热传导方程,求解出棒状激光晶体内的温度分布,计算出不同泵浦分布时的理论热透镜焦距,并进行热透镜实验。理论分析和实验表明,随着泵浦方向的增多,晶体内泵浦光强和温度分布越接近于轴向对称分布,热透镜更接近球面透镜。     

随机电磁涡旋光束的深聚焦特性

基于德拜矢量积分理论,研究了随机电磁涡旋光束经过大数值孔径透镜之后的聚焦特性及透镜的数值孔径、入射光束的偏振度、拓扑荷以及横向相干长度对焦平面附近聚焦光束的光强分布和相干度的影响.结果表明:适当地选择相关参量,可在焦平面上得到椭圆形光斑的光强分布以及平顶光强分布.随机电磁涡旋光束在焦平面上同一点处两个相互垂直分量之间的...     

四种解析解设计的短程透镜卷边对损耗的影响

根据光波导短程透镜母线曲率半径与光传输损耗的关系,利用数值计算的方法,通过计算不同母线参数条件下,四种解析解设计的短程透镜母线曲率半径,研究比较了短程透镜卷边对其损耗的影响,得出了短程透镜损耗与其有效区半径关系的曲线图,发现透镜凹面半径一定时,有效区半径越小,即卷边越大时,光传输损耗越小;短程透镜的解析改进解和最优解设计的透镜卷边存在曲率奇点.并由此得出了四种解析解设计的短程透镜有效区半径选取原则及其满足低损耗条件的取值范围.     

短程透镜的损耗

本文讨论了引起短程透镜损耗的各种因素,用最优边缘卷边曲率半径和表面抛光的方法成功地降低了短程透镜的损耗,给出了短程透镜的损耗测量值.     

优化的波导短程透镜研究

对光波导短程透镜进行优化。在无曲率奇点理想波导短程透镜的基础上，选取一般形式卷边函数，以无弯曲损耗为目标，讨论了透镜过渡区不同卷边函数形式的曲率分布，选取了最优卷边函数并给出透镜母线的特解。经过数值计算得到了优化的理想波导短程透镜的母线函数数值，完成了非球面面型的精细加工，研制出优化的理想波导短程透镜。实验测试结果表明，短程透镜在通光孔径8mm内消球差，对4mm宽的平面波束，焦距20mm的短程透镜，其焦点束斑宽度小于4μm。     

激光二极管bar侧面泵浦Nd：YAG激光器热效应研究

从不同侧面泵浦方式的泵浦光强分布出发．依据热传导方程．求解出棒状激光晶体内的温度分布．计算出不同泵浦分布时的理论热透镜焦距．并进行热透镜实验。理论分析和实验表明，随着泵浦方向的增多，晶体内泵浦光强和温度分布越接近于轴向对称分布，热透镜更接近球面透镜。     

Basin of attraction of cycles of discretizations of dynamical systems with SRB invariant measures

Computer simulations of dynamical systems arediscretizations, where the finite space of machine arithmetic replaces continuum state spaces. So any trajectory of a discretized dynamical system is eventually periodic. Consequently, the dynamics of such computations are essentially determined by the cycles of the discretized map. This paper examines the statistical properties of the event that two trajectories generate the same cycle. Under the assumption that the original system has a Sinai-Ruelle-Bowen invariant measure, the statistics of the computed mapping are shown to be very close to those generated by a class of random graphs. Theoretical properties of this model successfully predict the outcome of computational experiments with the implemented dynamical systems.     

Asymptotic properties of sequences of iterates of nonlinear transformations

By considering functions defined on the unit interval with a single zero minimum and a single unit maximum we are led to a version of the doubling or universal transformation. The fixed point functions of this doubling transformation have certain invariance properties under conjugacy. These invariance properties lead to a widening of the concept of universality to power law conjugacy classes in which the Feigenbaum divergence parameter is a function only of the product of the powers with which iterating functions approach unity at the maximum and zero at the minimum. We also construct an effective method for computing the divergence parameter from iterates, and derivatives of iterates, generated by the appropriate fixed point function.On leave from Mathematics Department, University of Melbourne, Parkville, Victoria 3052, Australia.     

分子费米共振拉曼光谱强度分析

测量了CCl₄和CS₂分子的Raman光谱。用Bertran理论和群论等相关理论对其光谱强度进行了分析,获得了发生费米共振分子的拉曼光谱强度的特殊规律： (1)发生费米共振的基频和倍频(和频)间发生能量转移,两光谱强度大小相互接近,当发生费米共振的基频和倍频(和频)间距离很小时,两发生费米共振的光谱强度相等(R=1);(2)能出现倍频光谱强度高于其基频光谱强度;(3)也会观测到费米共振光谱,而观测不到参与费米共振的和频中的基频光谱。此研究对化学、材料科学中的分子结构、材料成分等研究中的谱线认证、归属有很好的参考价值。     

Electron microscopy study of aggregation of microclusters of sulphur

A study of aggregation of sulphur particles in colloidal suspension of sulphur in water-methanol mixture using TEM and electron diffraction is reported. From the micrographs the aggregates formed have been found to be random and tenuous indicating a fractal structure. The electron diffraction patterns of the aggregates are used to study the mechanism of diffusion and reaction limited aggregation.     

Laser cooling of internal degrees of freedom of molecules

Optical pumping techniques using laser fields combined with photo-association of ultracold atoms leads to control of the vibrational and/or rotational population of molecules. In this study, we review the basic concepts and main steps that should be followed, including the excitation schemes and detection techniques used to achieve ro-vibrational cooling of Cs₂ molecules. We also discuss the extension of this technique to other molecules. In addition, we present a theoretical model used to support the experiment. These simulations can be widely used for the preparation of various experiments because they allow the optimization of several important experimental parameters.     

Abelian Extensions of the Group of Diffeomorphisms of a Torus

In this Letter we construct Abelian extensions of the group of diffecomorphisms of a torus. We consider the Jacobian map, which is a crossed homomorphism from the group of diffeomorphisms into a toroidal gauge group. A pull-back under this map of an invariant central 2-cocycle on a gauge group turns out to be an Abelian cocycle on the group of diffeomorphisms. In the case of a circle we get an interpretation of the Virasoro–Bott cocycle as a pull-back of the Heisenberg cocycle. We also give an Abelian generalization of the Virasoro–Bott cocycle to the case of a manifold with a volume form.     

金属丝的杨氏模量测定实验的改进

对金属丝杨氏模量测定仪重新设计.将金属丝水平放置,在中点处悬挂重物,通过测量金属丝伸长后的转角,进而测量金属丝的杨氏模量.     

Spectroscopic Parameters of High Overtones of the Vibrations of Molecules

Based on the fundamental equation from the vibration theory of molecules and the operation of direct product of matrices and its properties for eigenvalues and eigenvectors, an equation of overtone vibrations for any high order has been obtained whose solution yields the matrices of vibration modes. Correlations determining changes in the structure parameters, just as expressions for the matrices of the coefficients of kinematic interaction and force constants, and for the parameters of vibrational-rotational interaction have been presented. Using the formulas obtained, the electro-optical parameters of water molecules H₂O and isotopes H₂ ¹⁷O and H₂ ¹⁸O have been calculated for overtones of up to the sixth order within the framework of the semiempirical quantum-chemical CNDO/2 method using the method of numerical differentiation by spline functions.     

混合菁染料J-聚集体的光谱性能研究

对2种混合菁染料吸附在溴化银颗粒表面形成的J-聚集体的反射光谱及感光性能与对应菁染料单独吸附在溴化银颗粒表面进行了对比研究。用紫外-可见分光光计测定了菁染料吸附在溴化银颗粒表面形成J-聚集体的反射光谱。结果表明:2种混合菁染料吸附在溴化银颗粒表面形成的J-聚集体的反射光谱分别具有2个最大峰值波长,并且与对应菁染料单独使用时的峰值波长相一致。2种混和菁染料的感光性能比对应菁染料单独使用时有较大提高。