单叶解析函数的几个子族之间的关系及应用

在复平面单位圆盘内引入了β型螺形甬数族S<,β>的一个子类S<'β>,<,α>函数族,研究了S<'β>,<,α>族与解析函数族S*,S*(α),K,K(α)及S<,β>之间的关系,利用得到的关系式对S<'β>,<,α>族的第二项系数进行了精确估计,同时得到了K(a)族的第二、三项系数的关系式和S<,β>,族的一个积分表...     

Stably Calabi-Yau algebras and skew group algebras

Let G be a finite group and A be a finite-dimensional selfinjective algebra over an algebraically closed field. Suppose A is a left G-module algebra. Some suficient conditions for the skew group algebra AG to be stably Calabi-Yau are provided, and some new examples of stably Calabi-Yau algebras are given as well.     

Weighted estimates for the multilinear singular integral operators with non-smooth kernels

In this paper, by sharp function estimates and certain weak type endpoint estimates, the authors establish some weighted norm inequalities with Ap weights for the multilinear singular integral operators with non-smooth kernels.     

Weak type heterodimensional cycle bifurcation with orbit-flip

In this paper, we study the weak type heterodimensional cycle with orbit-flip in its non-transversal orbit by using the local moving frame approach. For the first two subcases, we present the sufficient conditions for the existence, uniqueness and non-coexistence of the homoclinic orbit, heteroclinic orbit and periodic orbit. Based on the bifurcation analysis, the bifurcation surfaces and the existence regions are located. And for the third subcase, we theoretically established both the coexistence conditio...     

完全非正规Toeplitz算子

In this paper, we show that the hyponormal Toeplitz operator Tφ with trigonometric polynomial symbol φ is either normal or completely non-normal. Moreover, if Tφ is non-normal, then Tφ has a dense set of cyclic vectors. Some general conditions are also considered.     

Orbital angular momentum crosstalk of single photons propagation in a slant non-Kolmogorov turbulence channel

We analyze the orbital angular momentum (OAM) crosstalk of single photons propagation through low-order atmospheric turbulence. The probability models of the orbital angular momentum crosstalk for single photons propagation in the channel with the non-Kolmogorov turbulence tilt, coma, and astigmatism and defocus aberration have been established. It is found, for α = 11/3, that the turbulent tilt is the dominant aberration which causes the orbital angular momentum crosstalk, the coma is second and the astigmatism is third, but the defocus aberration has no impact on OAM. The results also indicate that the regularities of orbital angular momentum crosstalk caused by the tilt, the coma and the astigmatism are almost the same, respectively. The crosstalk probability of the orbital angular momentum increases as the azimuth mode index p of Laguerre-Gaussian (LG) beam increases, the turbulent strength C_n² enhances, the orbital angular momentum quantum number rises, the diameter of circular sampling aperture D and the channel zenith angle θ increase.     

光谱探针猩红S与牛血清白蛋白结合的发光光谱

利用荧光光谱和紫外吸收光谱,详细研究了不同温度下猩红S(PS)与牛血清白蛋白(BSA)的结合反应,发现PS对BSA的内源性荧光具有较强的猝灭作用,其猝灭机理属于静态猝灭,由此求得PS与BSA间的结合常数、结合位点数及热力学参数等.结果表明:PS与BSA之间形成了1:1稳定复合物,它们之间的作用力主要是静电引力.根据Fo...     

Yb3+,Er3+掺杂的SrAl2O4:Eu2+,Dy3+长余辉材料的发光特性

根据Dorenbos能级模型的推论,利用掺杂Yb3+和Er3+对典型的长余辉材料SrAl2O4:Eu2+,Dy3+(简称SAO:ED)的发光特性(发光强度和余辉时间)进行调制.在发光特性分析中,发展并使用了一种简便易行的解析模型,而不是常用的多项e指数衰减函数的经验模型.研究发现,正如Dorenbos所预言的,Yb+3...     

大气云层分布的偏振激光后向散射研究

 利用大气激光后向散射垂直剖面图与消偏振度相结合的方法,分析CALIPSO卫星偏振激光雷达的后向散射信号。以2008年11月23日和24日的CALIPSO卫星数据为例,研究了北京地区大气中云层在可见光和红外光波段的垂直和水平分布特征。利用交互式数据语言IDL(interactive data language)得到大气后向散射强度的垂直分布及其消偏振度,根据垂直剖面图可以直观地观测大气中各成分（如气溶胶、低空云和卷云等）的空间分布情况,并且能清楚地显示大气边界层的高度,由消偏振度可准确获得云层的分布高度及厚度。观测数据的处理结果表明：在海拔高度3 km~7 km存在厚度为2 km~2.5 km的云,其消偏振度约为0.2。     

579 nm外腔式拉曼激光器传输耦合方程的数值计算

 为了提高以KGd(WO4)2晶体为拉曼介质的外腔式拉曼激光器的输出功率和转化效率,采用面积求和法编制matlab计算程序,对该激光器的传输耦合方程进行数值求解。计算得到了一至三阶斯托克斯光输出光强随时间的变化规律和受激拉曼散射的弛豫振荡过程。得出：拉曼谐振腔输出耦合镜对一阶斯托克斯光的反射率越高,拉曼谐振腔内的一阶斯托克斯光功率密度就越高,越有利于泵浦光向二阶斯托克斯光的转换。