Nd:LMA自锁模飞秒激光器腔结构最佳化设计

Nd:LMA晶体相对低的非线性折射率n₂,使得针对Ti:Sapphire自锁模激光器设计的腔,对Nd:LMA介质而言并没有提供足够的自幅度调制(SAM).为了在Nd:LMA激光器上实现自锁模,在腔内引入一个具有大的非线性系数n₂、快的响应时间的SF57介质,这样就使得激光腔的结构比较特殊.在这篇文章里利用ABCD传输矩阵对该激光器的结构从理论上进行了分析和计算,使腔结构达到了最佳化设计.     

Spectral characterization of multicone graphs

A multicone graph is defined to be the join of a clique and a regular graph. Based on Zhou and Cho’s result [B. Zhou, H.H. Cho, Remarks on spectral radius and Laplacian eigenvalues of a graph, Czech. Math. J. 55 (130) (2005), 781–790], the spectral characterization of multicone graphs is investigated. Particularly, we determine a necessary and sufficient condition for two multicone graphs to be cospectral graphs and investigate the structures of graphs cospectral to a multicone graph. Additionally, lower and upper bounds for the largest eigenvalue of a multicone graph are given.     

变色的ZnS：Mn/SrS：Ce/ZnS：Mn薄膜电致发光的研究

利用ZnS:Mn/SrS:Ce/ZnS:Mn多层结构,得到了一种可变颜色的薄膜电致发光器件。研究了这一器件的发射光谱随电压和频率的变化,并讨论了随电压的增加,发射光谱中蓝带和黄带的不同增长的原因,以及在不同电压下,发射光谱中蓝带和黄带随频率变化的不同趋势的原因。观察到随驱动频率的增加,发射光谱出现黄-蓝色位移。     

Partially linear single-index beta regression model and score test

An important model in handling the multivariate data is the partially linear single-index regression model with a very flexible distribution—beta distribution, which is commonly used to model data restricted to some open intervals on the line. In this paper, the score test is extended to the partially linear single-index beta regression model. The penalized likelihood estimation based on P-spline is proposed. Based on the estimation, the score test statistics about varying dispersion parameter is given. Its asymptotical property is investigated. Both simulated examples are used to illustrate our proposed methods.     

The expected discounted penalty function under a renewal risk model with stochastic income

In this paper, we consider a renewal risk model with stochastic premiums income. We assume that the premium number process and the claim number process are a Poisson process and a generalized Erlang (n) processes, respectively. When the individual stochastic premium sizes are exponentially distributed, the Laplace transform and a defective renewal equation for the Gerber-Shiu discounted penalty function are obtained. Furthermore, the discounted joint distribution of the surplus just before ruin and the deficit at ruin is given. When the claim size distributions belong to the rational family, the explicit expression of the Gerber-Shiu discounted penalty function is derived. Finally, a specific example is provided.     

色散作用能的推导

对两个振动频率与极化系数不同的三维振子的色散作用能给出了一种简明的推导。     

Remark on the Unital Quantale Q[e]

In this paper, we investigate some properties of the unital quantale Q[e], in terms of the quantic quotients of Q[e] we study the extensions of quantic nuclei of Q to Q[e] and prove that for any non-trivial quantale Q\textbf{Q}, Q[e] is not simple. Also, we give some applications for the unital quantale Q[e].     

162Lu的高自旋态及A=160区双奇核晕态能级的符号因子反转

利用¹⁴⁷Sm(¹⁹F,4nγ)¹⁶²Lu反应研究了¹⁶²Lu的高自旋态. 由7个带BGO康普顿抑制的高纯锗探测器和一个小平面探测器进行了在束γ测量,首次建立了双奇核¹⁶²Lu转晕带的能级纲图. 发现在低转动频率下,¹⁶²Lu的转晕带能级发生符号因子反转. 对质量数A=160核区双音核的转晕带重新进行了分析和考察,讨论了转晕带能级符号因子反转的系统性.     

Convergence and permanence of a delayed Nicholson’s Blowflies model with feedback control

In this paper, we study a generalized Nicholson??s Blowflies model with feedback control and multiple time-varying delays. Under proper conditions, we employ a novel proof to establish some criteria to guarantee the global exponential convergence and permanence of this model. Moreover, we give two examples to illustrate our main results.     

On (⊥,?)-generalized fuzzy rough sets

In the present paper, we mainly discuss the (??,?)-generalized fuzzy rough sets introduced by B.Q. Hu and Z.H. Huang with both constructive approach and axiomatic approach considered. In the former, we started from the investigation of the properties of the ??-upper and ?-lower approximation operators generated by binary fuzzy relations. In the latter, by defining a pair of fuzzy set-theoretic operators, we show (??,?)-fuzzy rough approximation operators can be characterized by different sets of axioms.