多参量可调谐的Bragg波导光栅滤波器设计(英文)

为了解决基于光纤布喇格光栅和压电陶瓷结构的任意光脉冲整形器在动态调谐时存在不足的问题,提出并设计了一种波长、相位、幅度参量独立可调的Bragg波导光栅滤波器,以实现谐振波长及谐振波相位快速独立的线性调控.理论分析表明:波长和相位的理论调谐效率分别为15.6pm/V和0.2π/V,滤波器的输出光强度可以通过偏振旋转器控制.基于转移矩阵理论的仿真分析发现:该滤波器在蚀刻占空比为1/2时反射率最大,光栅长度为10.869mm,蚀刻深度大于100nm时,可以获得98.4%以上的反射率和大于0.14nm的带宽;增大波长调谐电压会进一步降低滤波带宽.     

Trigonometrical sums connected with the chiral Potts model,Verlinde dimension formula,two-dimensional resistor network,and number theory

We have recently developed methods for obtaining exact two-point resistance of the complete graph minus N$N$ edges. We use these methods to obtain closed formulas of certain trigonometrical sums that arise in connection with one-dimensional lattice, in proving Scott’s conjecture on permanent of Cauchy matrix, and in the perturbative chiral Potts model. The generalized trigonometrical sums of the chiral Potts model are shown to satisfy recursion formulas that are transparent and direct, and differ from those of Gervois and Mehta. By making a change of variables in these recursion formulas, the dimension of the space of conformal blocks of SU(2)$SU\left(2\right)$ and SO(3)$SO\left(3\right)$ WZW models may be computed recursively. Our methods are then extended to compute the corner-to-corner resistance, and the Kirchhoff index of the first non-trivial two-dimensional resistor network, 2×N$2\times N$. Finally, we obtain new closed formulas for variant of trigonometrical sums, some of which appear in connection with number theory.     

Structural studies of AgSbTe2 under pressure: Experimental and theoretical analyses

The crystal structure of AgSbTe₂ has been refined using first-principles calculations, from which the ordering of the cations, Ag and Sb, was confirmed. The spontaneous formation of two (D4 and L1₁) phases at ambient and elevated pressure was demonstrated theoretically. The compound was also prepared and its high-pressure structural deformation sequence, ranging from ambient to 50.9 GPa, was observed with synchrotron radiation at room temperature. The compound underwent a pressure-induced amorphization (PIA) at 24.6 GPa and then started recrystallizing at 49.2 GPa. The bulk modulus (B₀) and pressure derivative of the bulk modulus (B_p) were determined experimentally to be 56.3 ± 5.1 GPa and 4.3 ± 0.8, respectively. We suggest that large displacements of Te atoms to Ag vacancy positions are responsible for PIA and the recrystallization.     

Derivation of invariant varieties of periodic points from singularity confinement in the case of Toda map

We have shown in [1] that the invariant varieties of periodic points (IVPP) of all periods of some higher dimensional rational maps can be derived, iteratively, from the singularity confinement (SC). We generalize this algorithm, in this paper, to apply to any birational map, which has more invariants than the half of the dimension.     

Thermodynamical Aspects of Modified Holographic Dark Energy Model

We investigate the unified first law and the generalized second law in a modified holographic dark energy model. The thermodynamical analysis on the apparent horizon can work and the corresponding entropy formula is extracted from the systematic algorithm. The entropy correction term depends on the extra-dimension number of the brane as expected, but the interplay between the correction term and the extra dimensions is more complicated. With the unified first law of thermodynamics well-founded, the generalized second law of thermodynamics is discussed and it is found that the second law can be violated in certain circumstances. Particularly, if the number of the extra dimensions is larger than one, the generalized law of thermodynamics is always satisfied; otherwise, the validity of the second law can only be guaranteed with the Hubble radius greatly smaller than the crossover scale r_c of the 5-dimensional DGP model.     

Optimum design of aspheric collimation lenses for optical antenna system

Three kinds of aspheric collimation lenses for optical antenna have been design by optimization. The aspheric cylinder collimation lenses with aspheric surfaces (such as elliptic, hyperbolic and parabolic marginal profiles) have been researched for the semiconductor laser beam with the characteristic of dot emitting source. Based on genetic algorithm and the optimization toolbox of MTLAB, the divergence angle has been optimized. The collimation divergence angle is less than 115 μrad has been measured by laser beam analyzer. This optimum design laser beam collimation lenses as a pre-collimation system can be used for optical antenna system. And it can be widely used in modern space laser communication.     

利用Adobe Audition 1.5测重力加速度

介绍了利用声学处理软件Adobe Audition 1.5 记录小球自由落体运动的时间,再通过直线运动公式计算重力加速度的方法.该方法可以将运动时间精确到0.001 s, 从而能够更精确地计算出重力加速度.     

全三维35 GHz双阳极磁控注入式电子枪数值模拟研究

基于trade-off平衡方程组得到35GHz双阳极磁控注入式电子枪的初始参数,通过编程对其主要参数进行优化设计,并经由自主研发的PIC粒子模拟软件CHIPIC中的电子枪计算模块对其进行全三维的数值模拟研究,最终获得了具有横纵速度比为1.5,最大速度零散约为5.4%的高性能电子枪,能够很好地满足35GHz-100kW回旋振荡管对电子束的要求。     

基于微扰近似的圆锥表面光散射*

由Hueygen原理出发,介绍了粗糙表面的光散射特性.基于微扰近似,在不考虑遮蔽效应和圆锥顶点的散射情况下,分析了圆锥物体的光散射特性,推导了圆锥物体对平面光的散射场解析表达式.计算了圆锥表面在高度起伏均方根不同情况下对1.06μm光波的散射,并且得到了入射角一定的情况下,不同观察方向的散射光强分布曲线.结果表明,在观察方位角不变时,圆锥的散射光强随观察角顶角的增加先增大后减小|在观测方位角一定时,散射光强随高度起伏均方根的增加而减小,且随观察方位角呈对称分布.     

利用光纤法布里-珀罗谐振器干涉透射波长同时测量混合溶液中多溶质浓度

为了同时探测混合溶液中多种溶质的浓度,提出一种用光纤法布里-珀罗谐振器作为传感器测量混合溶液中多溶质浓度的测量系统.从理论上分析了光纤法布里-珀罗谐振器干涉透射波长与混合溶液浓度之间的关系,采用光纤法布里-珀罗谐振器干涉透射波长实现了高准确度同时测量混合溶液中多溶质浓度的原理和可行性.构建了由InGaAs发光二极管光源、光纤耦合器、FFPR传感器、光电信号转换和放大器、光谱分析仪等组成的测量系统.对乙醇和甘油的9组标准混合溶液进行测量实验,并用测量结果标定了混合溶液中各溶质浓度与光纤法布里-珀罗谐振器传感器干涉透射波长之间的数学解析关系式.根据数学关系式用Action Script 2.0脚本语言编写程序,计算机实时监控了混合溶液中各溶质浓度的变化过程.