一种新型多速率归零码全光帧时钟提取系统

提出了一种新型的、低成本的多速率归零(RZ)码全光帧时钟提取方案。采用低精细度的法布里-珀罗滤波器(F-P)直接提取不同速率的帧时钟,保证帧时钟的快速建立和快速消失。利用不同的偏振延时干涉仪(PDI)和低自由光谱区(FSR)的法布里-珀罗滤波器构成组合滤波器以实现多速率帧时钟提取。利用半导体光放大器(SOA)的自增益调制效应(SGM)对组合滤波器提取的帧时钟进行整形,降低帧时钟的幅度噪声和时间抖动。实验中,利用光开关切换不同的偏振延时干涉仪构成不同自由光谱区的组合滤波器实现了10 GHz、20 GHz和40 GHz的帧时钟提取,得到了高质量、低时间抖动的多速率帧时钟信号。     

有界变差函数的Durrmeyer-Bézier算子收敛阶的估计

在Zeng等人对有界变差函数f的Durrmeyer-Bézier算子在区间(0,1)上收敛于(1/(α+1))f(x+)+(α/(α+1))f(x-)的收敛阶进行研究的基础上,利用基函数的概率性质等方法,对其所给的Durrmeyer-B啨zier算子收敛阶估计结果作进一步的改进,得到其收敛阶的精确估计.     

Knight不确定环境下Lévy市场中的期权定价

研究了Knight不确定环境下的Lévy型金融市场.假设标的股票价格服从Lévy过程,借助Lévy-Laplace指数建立了欧式期权的动态定价模型,得到了定价区间,并针对Lévy纯跳过程给出了模型的显示解.最后,利用数值分析方法,研究了Knight不确定性参数对欧式看涨期权定价区间的重要影响.     

不同因素影响下Fe(Ⅲ)水解中和法制备FeOOH矿相的光谱分析

羟基氧化铁(FeOOH)作为重金属等污染物的吸附材料倍受关注,但不同因素作用下形成的FeOOH产物矿相、结构性质的差异及其对环境功能的影响,却少有报道。采用X射线衍射仪,红外光谱仪,扫描电子显微镜和激光粒度分析仪,系统考察了Fe(Ⅲ)溶液水解中和形成FeOOH时,不同作用因素如铁盐种类、pH和温度等对产物矿相的影响。结果表明,pH 8条件下,Fe(Ⅲ)溶液水解产物均为二线水铁矿(Fe₅HO₈·4H₂O);随着pH升高,Fe₅HO₈·4H₂O会向α-FeOOH相转化。Cl-和NO-₃离子的存在分别有利于β-FeOOH和α-FeOOH的形成;SO2-₄会阻碍Fe₅HO₈·4H₂O向α-FeOOH相转化;Fe2+存在时,会促进Fe₅HO₈·4H₂O向α-FeOOH相转化。加热陈化,可促进Fe₅HO₈·4H₂O转化为α-FeOOH,且利于良好结晶α-FeOOH的形成。但pH≤5,富含Cl-的Fe(Ⅲ)溶液加热水解利于β-FeOOH的生成。不同因素影响下形成的FeOOH,在矿相、表面基团、颗粒形貌和粒径大小上存在一定的差异。     

带时滞的Laplacian型方程周期解的存在唯一性

利用拓扑度理论和Mawhin's连续定理,研究了一类带有偏差变元的Laplacian型常微分方程的周期解,使用不等式和分析技巧,建立方程解的存在及唯一性条件.有意思的是,与已有文献相比,用来估计先验界的方法是新的,最后,给出了一个实例,验证了所得结论.     

Judging or setting weight steady-state of rational Bézier curves and surfaces

Many works have investigated the problem of reparameterizing rational Bézier curves or surfaces via Mbius transformation to adjust their parametric distribution as well as weights, such that the maximal ratio of weights becomes smallerthat some algebraic and computational properties of the curves or surfaces can be improved in a way. However, it is an indication of veracity and optimization of the reparameterization to do prior to judge whether the maximal ratio of weights reaches minimum, and verify the new weights after Mbius transformation. What's more the users of computer aided design softwares may require some guidelines for designing rational Bézier curves or surfaces with the smallest ratio of weights. In this paper we present the necessary and sufficient conditions that the maximal ratio of weights of the curves or surfaces reaches minimum and also describe it by using weights succinctly and straightway.The weights being satisfied these conditions are called being in the stable state. Applying such conditions, any giving rational Bézier curve or surface can automatically be adjusted to come into the stable state by CAD system, that is, the curve or surface possesses its optimal parametric distribution. Finally, we give some numerical examples for demonstrating our results in important applications of judging the stable state of weights of the curves or surfaces and designing rational Bézier surfaces with compact derivative bounds.     

Liénard方程的比较原理

证明了几个比较原理 ,使方程 x″+f (x) x′+g(x) =0的周期解的存在性与解的有界性定理可以分别用来判定方程 x″+h(x,x′) x′+g(x) =0的周期解的存在性与解的有界性 .     

Reformed Solitary Kinetic Alfven Waves due to Dissipations and Auroral Electron Acceleration

The physical nature of the auroral electron acceleration has been an outstanding problem in space physics for decades. Some recent observations from the auroral orbit satellites, FREJA and FAST, showed that large amplitude solitary kinetic Alfvén waves (SKAWs) are a common electromagnetic active phenomenon in the auroral magnetosphere. In a low-β (i.e., β/2<<m_e/m_i<<1) plasma, the drift velocity of electrons relative to ions within SKAWs is much larger than thermal velocities of both electrons and ions. This leads to instabilities and causes dissipations of SKAWs. In the present work, based on the analogy of classical particle motion in a potential well, it is shown that a shock-like structure can be formed from SKAWs if dissipation effects are included. The reformed SKAWs with a shock-like structure have a local density jump and a net field-aligned electric potential drop of order of m_ev_A²/e over a characteristic width of several λ_e. As a consequence, the reformed SKAWs can efficiently accelerate electrons field-aligned to the order of the local Alfvén velocity. In particular, we argue that this electron acceleration mechanism by reformed SKAWs can play an important role in the auroral electron acceleration problem. The result shows that not only the location of acceleration regions predicted by this model is well consistent with the observed auroral electron acceleration region of 1—2 R_E above the auroral ionosphere, but also the accelerated electrons from this region can obtain an energy of several keV and carry a field-aligned current of several μA/m² which are comparable to the observations of auroral electrons.     

Generalized Canonical Noether Theorem and Poincare—Cartan Integral Invariant ofr a System with a Singular High—Order Lagrangian and an Application

Based on the canonical action,a generalized canonical first Noether theorem and Poicare-Cartan integralinvariant for a system with a singular high-order Lagrangian are derived.It is worth while to point out that the constraints are invariant under the total variation of canonical variables including time.We can also deduce the result,which differs from the previous work to reuire that the constraints are invariant under the simultaneous variations of canonical variables.A counter example to a conjecture of the Dirac for a system with a singular high-order Lagrangian is given,in which there is no linearization of constraint.     

三角域上带两个形状参数的Bézier曲面的扩展

给出了三角域上带双参数λ1,λ2的类三次Bernstein基函数,它是三角域上三次Bernstein基函数的扩展.分析了该组基的性质并定义了三角域上带有两个形状参数λ1,λ2的类三次Bernstein-Bézier(B-B)参数曲面.该基函数及参数曲面分别具有与三次Bernstein基函数及三次B-B参数曲面类似的性质.当λ1,λ2取特殊的值时,可分别得到三次Bernstein基函数及三次B-B参数曲面以及参考文献中所定义的类三次Bernstein基函数及类三次B-B参数曲面.由实例可知,通过改变形状参数的取值,可以调整曲面的形状.