强双折射光纤中暗孤子的传输特性研究

从光纤双折射参量、背景光宽度、孤子脉冲宽度三方面探讨暗孤子在双折射光纤中远距离传输特性研究表明:相对于亮孤子,暗孤子对光纤双折射的自适应能力较弱;背景光宽度越大,暗脉冲与背景光对比度越好,暗孤子越能保持原来黑孤子状态;暗孤子脉冲宽度越大,偏振脉冲之间的差分群时延越大,诱导的灰孤子震荡结构越明显,越不利于暗孤子远距离传输.     

Clifford分析中奇异积分的Poincaré-Bertrand置换公式

借助于多元复分析的思想，本文证明了Ｃｌｉｆｏｒｄ分析中奇异积分的Ｐｏｉｎｃａｒé－Ｂｅｒｔｒａｎｄ置换公式．     

圆周上逆极限可扩的连续自映射

本文研究了圆周上一类自映射ｆ的正向可扩性与其道极限的可扩性间的联系，得出圆周上的连续满射ｆ的逆极限可扩等价于ｆ拓扑共轭于扩张映射．     

EXISTENCE OF SOLUTIONS FOR SEMILINEAR ELLIPTIC EQUATIONS INVOLVING CRITICAL SOBOLEV EXPONENTS AND HARDY TERMS

This paper deals with the existence of solutions to the elliptic equation -△uμu/|x|2=λu |u|2*-2u f(x, u) in Ω, u = 0 on ( a)Ω, where Ω is a bounded domain in RN(N≥3),0∈Ω,2*=2N/N-2,λ＞0,λ(a)σμ, σμ is the spectrum of the operator -△- μI/|x|2with zero Dirichlet boundary condition, 0 ＜μ＜-μ,-μ=(N-2)2/4,f(x,u) is an asymmetric lower order perturbation of |u|2*-1 at infinity. Using the dual variational methods, the existence of nontrivial solutions is proved.     

两种新型二氯代苯基卟啉-5-氟尿嘧啶衍生物的合成与表征

用5-[4-(5-溴戊氧基)苯基]-10,15,20-三(3,4-二氯苯基)卟啉或5-[4-(6-溴己氧基)苯基]-10,15,20-三(3,4-二氯苯基)卟啉与5-氟尿嘧啶反应,合成了1-[5-(4-戊氧苯基)-10,15,20-三(3,4-二氯苯基)卟啉]-5-氟尿嘧啶(A)和1-[5-(4-己氧苯基)-10,15,20-三(3,4-二氯苯基)卟啉]-5-氟尿嘧啶(B),产率分别为29.92%和30.01%。并通过红外光谱、紫外可见光谱、核磁共振谱和质谱表征了其结构。对目标化合物的合成条件进行了研究,结果表明:以DMF为溶剂,反应温度为115℃,反应时间2h,产率较高;采用硅胶G(200—300目)装柱,以氯仿和氯仿∶乙醚(V∶V=50∶1)为洗脱液,柱层析,再用氯仿:丙酮(V∶V=7∶1)洗脱产品色带,分离效果较好。     

系列甲基苯基卟啉-5-氟尿嘧啶化合物的合成与表征

设计合成了6种甲基苯基卟啉-5-氟尿嘧啶化合物。通过红外光谱、紫外-可见光谱、核磁共振谱和质谱对所合成的化合物结构进行了确认。探索出了合成反应的最佳条件和目标化合物的分离纯化方法。实验结果表明,选择DMF为溶剂,反应温度在115℃,反应时间2h,产率较高,A1、A2,B1、B2、C1和C2分别为25.66%、25.02%,24.89%、26.17%、28.43%和24.19%;采用硅胶G(粒径为48—75μm)柱层析,分离效果较好。     

普通物理实验教学改革的几点建议

普通物理实验教学是大学物理教学的重要组成部分。针对普通物理实验教学的现状,就其相关的教学内容、教学方法、师资队伍建设、实验室建设和管理等存在的问题,提出相应的解决思路。     

Sulfamic acid catalyzed solvent-free synthesis of 10-aryl-7,7-dimethyl-6,7,8,10-tetrahydro-9H-[1,3]-dioxolo [4,5- <Emphasis Type="Italic">b</Emphasis>]xanthen-9-ones and 12-aryl-9,9-dimethyl-8,9,10,12-tetrahydro-11H-benzo[<Emphasis Type="Italic">a</Emphasis>]xanthen-11-ones

Three-component one-pot synthesis of some novel 10-aryl-7,7-dimethyl-6,7,8,10-tetrahydro-9H-[1,3]-dioxolo[4,5-b]xanthen-9-ones, which have not been published before, and 12-aryl-9,9-dimethyl-8,9,10,12-tetrahydro-11H-benzo[a]xanthen-11-ones from condensation of 3,4-methylenedioxyphenol or β-naphthol, aldehydes and dimedone under solvent-free conditions at 120 °C is reported.     

Pathwise Convergence of a Rescaled Super-Brownian Catalyst Reactant Process

Consider the one-dimensional catalytic super-Brownian motion X (called the reactant) in the catalytic medium which is an autonomous classical super-Brownian motion. We characterize both in terms of a martingale problem and (in dimension one) as solution of a certain stochastic partial differential equation. The focus of this paper is for dimension one the analysis of the longtime behavior via a mass-time-space rescaling. When scaling time by a factor of K, space is scaled by K ^η and mass by K ^−η. We show that for every parameter value η ≥ 0 the rescaled processes converge as K→ ∞ in path space. While the catalyst’s limiting process exhibits a phase transition at η = 1, the reactant’s limit is always the same degenerate process.      

Effect of Rashba spin-orbit coupling on electron transport in asymmetrically coupled regular polygonal quantum ring

The effect of Rashba spin-orbit coupling (SOC) on electron transport in asymmetrically coupled regular polygonal quantum ring is investigated. In absence of SOC, two kinds of conductance zeros appear periodically. In presence of SOC, one kind of conductance zero can be lifted by the Rashba SOC, the others persist.