单入射波长及纤芯存在光致双折射的长周期光纤光栅的折射率传感分析

利用全矢量耦合模方程提出并分析了一种基于纤芯存在光致双折射的长周期光纤光栅的环境折射率传感测量方法.以波长为谐振波长的完全偏振光为入射波,通过分析不同环境折射率下输出光的偏振态在邦加球上与参考点间球面距离的变化测量环境折射率.分析表明,在环境折射率1～1.30范围内包层半径为20.75 μm的长周期光纤光栅传感器线性特性良好,灵敏度为0.356/RIU,可应用于湿度和气体的折射率测量;该分析方法适用于其他类型的双折射长周期光纤光栅传感器的设计.     

一种以压力一维均匀分布为特征的长条形对顶压砧

针对圆形端面平面对顶压砧装置中压力梯度大的问题, 本文设计了一种长条形端面的平面对顶压砧, 相应的封垫也改为长条形. 原理分析表明: 这种压砧可在沿长条形中心线的狭长区域内产生均匀分布的高压力. 本文采用长20 mm宽5 mm长条形端面的硬质合金压砧配合叶腊石封垫进行压力标定, 实验结果显示: 这种装置可产生10 GPa以上的高压, 在长条形中心线上至少12 mm长度范围内的不同位置上产生的压力基本一致, 在2.55 GPa压力时测量偏差小于2.0%, 在7.7 GPa时测量偏差小于3.6%. 这种特点很有利于对细长样品进行精确的高压物性测量.     

正交异性半无限固支板条的弹性解

正交异性半无限固支板条在表面为应力自由和在无穷远处受载时的弹性解的控制微分方程为φ,yyyy+(2+δ₀)φ,yyzz+φ,zzzz=0(δ₀>-4).基于文献[10]对δ₀>0情形的工作,本文完成对各向同性材料δ₀=0和正交异性材料0>δ₀>-4情形的讨论.上述问题的解在边界位移数据给定情形的板理论的边界条件的合理提法方面有重要应用.     

用摄动法和有限条法分析矩形板的大挠度

本文将摄动法和有限条法结合起来进行矩形板的大挠度弯曲分析.用摄动的概念,将非线性微分方程组化为一系列线性微分方程组,然后用有限条法解这些线性微分方程组.     

THE METHOD OF WEIGHTED DIFFERENCE FOR SINGULAR PERTURBATION PROBLEM

In this paper, we introduce a new difference approximation to the first order derivative u′and give a class of uniformly convergent difference schemes.     

折板及多面板非线性弯曲分析的样条核质点法

提出了一种研究折板及多面板类结构非线性弯曲行为的样条核质点法.方法包括以下步骤:(1)将折板及多面板结构模拟成不同平面上平板的集合体;(2)基于冯.卡门的大挠度理论,使用一阶剪切变形理论和样条核质点法先分析各平板的几何非线性行为;(3)将经过修正的各板的非线性刚度矩阵叠加得到整个折板结构的非线性刚度矩阵;(4)研究整个结构的几何非线性行为.由于摆脱了网格的束缚,本文方法可以避免网格扭曲引起的网格重构问题.文末通过几个算例将本文方法解与使用壳单元的ANSYS有限元解或已有文献解进行对比,验证了本文方法的收敛性和准确性.     

Third-Order Dispersion in Linearly Chirped Bragg Gratings and Its Compensation

When fiber optics' quadratic dispersion is compensated, the cubic dispersion determines the transmission quality in an optical link. Although the third-order dispersion coefficient is small in standard fiber optics at the third window, it is not in the linearly chirped grating used to the second-order dispersion equalization. The influence of the grating parameters on its third-order dispersion value is systematically studied and an efficient and low-cost device is proposed thatis numerically proven to cancel the global third-order dispersion that arises from the optical link.     

Polymer Optical Fiber Photosensitivities and Highly Tunable Fiber Gratings

In this paper, recent progress in the investigation of photosensitivities of polymer optical fibers and the development of polymer optical fiber grating is reported. Photosensitivities in various polymer fibers, including doped and undoped, multimode and single-mode polymer fibers, have been experimentally characterized and evaluated for fiber grating application. In particular, the wavelength dependence of material absorption and photosensitivity has been found essential to the fabrication of polymer optical fiber grating. Based on the results of photosensitivity research, polymer optical fiber gratings have been successfully fabricated. More importantly, polymer optical fiber grating has been demonstrated highly tunable, with a tuning range more than 70 nm. The unique feature of high tunability in polymer optical fiber grating has great potential in various applications including optical fiber WDM systems and fiber sensor systems. Several important issues that remain to be investigated will also be discussed.     

矩形介质光波导的条形传递函数方法

将条形传递函数方法引入矩形介质光波导传播特性的分析计算,从标量波动方程的变分表达式出发,推导和建立了条形传递函数方法的基本方程和两种应用模型,作为算例,给出了阶跃型折射率分布矩形介质光波导的数值计算结果,并与其它方法进行了比较,表明了此方法的精度及对光波导问题的适用性。     

Analysis of nonlinearity in a high-resolution grating interferometer

Metrological feasibilities of a high-resolution grating interferometer (GI) based on a transverse Zeeman laser are investigated. When the grating pitch equals 20 μm, a resolution of 0.7 nm is obtained by means of a heterodyne signal processing method. The comparison of two approaches for determining the residual nonlinearity is presented. One is to evaluate the maximum residual error by determining the amplitude modulation degree of the measurement signal. The other is to do a high precision calibration with a differential dual-frequency interferometer that has a higher precision. The experimental results show that the nonlinearity is no more than 25 nm which fits well with the estimating result. Analysis of the depolarization effect of the grating indicates that it has little influence on the measurement accuracy.