函数模拟法求解锥形模超塑挤压的力学场——超塑挤压解析理论之一

本文首次用模拟位移函数的方法,给出锥形模超塑挤压力学场的解析式以及应变、应变速率和应力的约束方程。由于实验选用的是典型超塑性合金ZnAl₅,所以结果有相当的包络性。即使对于非典型超塑性材料,这种方法亦有普遍意义。     

D_n类有限表示型自入射代数的不可分解模,(Ⅰ):两角代数

本文结果:(1)确定了 D_n 类两角代数(two-cornered algebra)的不可分解模结构.(2)给出了不可分解模的 Loewy 因子和 socle 因子的计算公式.(3)证明了不可分解模由其 Loewy 因子,socle 因子二者之一唯一确定;还证明了,非单的不可分解模由其 top 与 socle 唯一决定.     

二维正方各向异性碲圆柱光子晶体完全禁带中缺陷模的FDTD计算分析和设计

用FDTD方法计算了二维正方晶胞各向异性碲圆柱光子晶体的点缺陷模.为了得到TE,TM模式在完全禁带中具有相同共振频率的缺陷模,对中心点缺陷半径Rd以及中心附近对称位置的点缺陷半径Rn做了一系列微调.计算表明,TM模对于Rn的变化不敏感,而TE模随着Rn的改变出现了明显的规则的移动趋势.通过计算分析,发现对应于f=0.4的背景(R=0.3568a),当Rd=0.55a,Rn=0.26a时在完全禁带中TE和TM的缺陷模具有相同的共振频率ω0=0.2466ωe(其中ωe=2πca,a为晶格常数) 关键词： 时域有限差分法 光子晶体 缺陷模 各向异性     

高功率微波高斯馈源口面场分析

 用波导本征模展开方法对用于高功率微波发射系统的方角锥高斯馈源口面场进行分析，提出结合馈源远场辐射特性和避免高功率击穿折衷选定相应的高斯模注腰半径，进而确定多个波导模幅值，从而为运用模匹配或耦合波理论设计高斯馈源提供依据。     

LD Pump Single-Longitudinal-Mode Nd：GdVO4/RTP Solid-State Green Laser

The single-longitudinal-mode Nd：GdVO4/RTiOPO4 （RTP） solid-state Green laser operation of a laser-diode （LD） end-pumped laser is realized by multi-cavities and a Brewster plate. The LD-pumped single-frequency green laser has been demonstrated by optimizing several parameters and a cavity length, with precise temperature controlling of Nd：GdV04, RTP and laser diode. When the incident pump power is 2 W at 808.4 nm, a single-frequency cw green laser at 532nm with output 210 m W is obtained, the optical-to-optical conversion efficiency is up to 10.5%.     

Darboux Transformation of a Differential-Difference Equation and Its Explicit Solutions

The Darboux transformation of a differential-difference equation associated with a 3 × 3 matrix spectral problem is derived. As an application, explicit soliton solutions of the differential-difference equation are presented.     

Optical Fibre Mode Structures Measured by Collection Mode Near-Field Scanning Optical Microscopy

High order fibre mode structures are measured by a near-field scanning optical microscope (NSOM) and are determined to be consistent with the standard fibre LP patterns. The mode-field distortions of high-order mode LP11 and LP21 structures by far-field measurement are analysed based on scalar diffraction theory, and the maximum distortions may reach as high as 5.1% and 6.2%。 This shows that the method of using the NSOM is more accuracy than the far-field measurement method, especially for high-order mode structures of optical fibres.     

高阶非线性时滞差分方程解的渐近性

研究如下的具强迫项的高阶非线性时滞差分方程△^my(n) u(n)l↑∑i=1 gi(y(n-τ))=v(n)其中，m≥1，u,v：N→R，gi：R→R且τ∈{0，1，2，3，…)，i=1，2，…，l，得到了使该方程的解具有某种渐近性态的充分条件。