Design of dispersive multilayer with particle swarm optimization method

<正>We present a new and efficient method for the design of dispersive multilayer by employing a particle swarm optimization(PSO) technique.Its mathematical background is given and an adaptive PSO is realized with computer code.Two practical designing tasks are solved with this method,and the obtained results are competitive compared with other published structures.The adaptive PSO method demonstrates its merits of fast convergence and powerful global search ability,and could be used as a valuable tool for the optical thin film design.     

模糊数的正向和反向表述及模糊数运算的拓展

模糊数运算的存在不可逆等问题,主要在于传统(正向)区间数严格限定所致.因此,提出了"反向区间数"的概念,利用该概念,能够给经典模糊分解定理、扩张原理新的表达形式.之后,分别以正(反)向区间为基础,分析模糊数的结构元表达形式,得到正(反)向区间对应结构元理论中单调增(减)函数.定义了反向区间数和反向区间数加、乘运算法则,利用结构元理论,证明了正、反向模糊数的加、乘运算解析表达式,得到了模糊方程解的判断定理.在保持传统运算法则不变的同时,对模糊数概念进行正(反)向的表述,并定义了二者的运算法则,这拓展了传统模糊数解的空间,进而解决模糊方程求解、不可逆等问题.通过算例看出,这两种表述在实际的计算过程中具有明显的意义.     

飞秒激光诱导硒化锌晶体表面自组织生长纳米结构

 以250 kHz高重复频率钛宝石飞秒激光聚焦到硒化锌晶体表面,利用扫描电子显微镜观测飞秒激光辐照后晶体的表面结构。发现线偏振激光辐照的区域形成了自组织周期性纳米结构,其周期为160 nm左右,并且可以通过改变激光的偏振方向调节纳米光栅结构的取向;当晶体相对于激光光束以10 mm/s速度移动,经激光扫描后,在晶体表面形成了长程类布拉格光栅。当飞秒激光光束为圆偏振光时,辐照区域形成均匀的纳米颗粒。     

Synthesis,Crystal Structure and Fungicidal Activity of 3-(Difluoromethyl)-1-methyl-N-((2-(trifluoromethyl)phenyl) carbamoyl)-1H-pyrazole-4-carboxamide

The title compound 3-(difluoromethyl)-1-methyl-N-((2-(trifluoromethyl)phenyl)-carbamoyl)-1 H-pyrazole-4-carboxamide(C_(14) H_(11) F_5 N_4 O_2) was synthesized, and its structure was confirmed by ~1 H NMR, H RMS and X-ray diffraction. It crystallizes in monoclinic system, space group P2_1/n with a = 6.994(3), b = 13.860(6), c = 15.308(7) ?, β = 97.632(6)°, V = 1470.8(11) ?~3,Z = 4, the final R = 0.0692 and wR = 0.2108 for 3989 observed reflections with Ⅰ 2σ(Ⅰ). The preliminary biological test shows that the title compound has moderate fungicidal activities against Pseudomonas syringae.     

通过Painlevé分析从低维模型中寻找高维可积模型

将Painlevé方法推广到更一般的形式, 可以从给定的低维可积模型中得到无穷多个新的可积模型. 新的可积模型与原模型相比都是较高维的, 它们保持保角不变性和Painlevé性质. 本文主要以KdV、NLS和KP方程为例, 运用WTC法、截断展开、领头项分析等方法, 给出了(3+1)维可积模型的具体形式.     

伊文思蓝作荧光探针研究牛血清白蛋白与氨苄青霉素之间的竞争反应

用伊文思蓝(Evans blue, EB)作荧光探针研究了氨苄青霉素(Ampicillin, A)对牛血清白蛋白(Bovine serum albumin, BSA)的竞争反应. 伊文思蓝与牛血清白蛋白作用, 使牛血清白蛋白荧光发生猝灭, 根据Stern-Volmer方程及荧光寿命研究了荧光猝灭的类型及机理. 结果表明, 猝灭类型为静态猝灭, 即伊文思蓝和牛血清白蛋白形成了一种稳定的复合物. 伊文思蓝与牛血清白蛋白的结合常数KBSA-EB=1.122×106 L/mol, 结合点数n=0.9935, 并确定了EB和BSA之间的热力学常数及作用力类型. 当加入氨苄青霉素后, 牛血清白蛋白的相对荧光强度恢复. 这表明氨苄青霉素与伊文思蓝对牛血清白蛋白发生了竞争反应. 探讨了该竞争反应的相关机理, 求出了伊文思蓝与氨苄青霉素的结合常数为KEB-A=7.131×105 L/mol.     

一类广义Heisenberg-Virasoro代数的导子

主要研究了一类非有限分次的广义Heisenberg-Virasoro代数HV,并给出了HV导子的具体结构.为了计算HV的导子Der HV,可以把它分解成内导子adHV和阶为零次的导子(Der HV)_0之和.     

Multiple Soliton Solutions of Alice–Bob Boussinesq Equations

Three Alice-Bob Boussinesq(ABB) nonlocal systems with shifted parity■, delayed time reversal■ and ■ nonlocalities are investigated. The multi-soliton solutions of these models are systematically found from the ■ symmetry reductions of a coupled local Boussinesq system. The result shows that for ABB equations with ■ nonlocality, an odd number of solitons is prohibited. The solitons of the ■ nonlocal ABB and ■ nonlocal ABB equations must be paired, while any number of solitons is allowed for the ■ nonlocal ABB system. t-breathers, x-breathers and rogue waves exist for all three types of nonlocal ABB system.In particular, different from classical local cases, the first-order rogue wave can have not only four leaves but also five and six leaves.