导波弧光栅的曲率分布及实验设计

本文由柱面透镜会聚光的波前干涉场强度分布推导了弧光栅条纹的周期方程和曲率方程，为设计和制备各种周期和曲率的导波弧光栅器件提供了依据．     

长周期光纤光栅弯曲传感特性

基于耦合模理论和微扰近似,研究了长周期光纤光栅(LPFG)弯曲传感特性与弯曲曲率及光栅结构参数(光栅长度和栅格周期)之间的关系.当弯曲曲率增大到某一值时,一个透射峰分裂为两个,两个分裂峰的谐振波长与弯曲曲率的变化关系呈二次曲线关系,与栅格周期成反比变化,而与光栅长度基本无关.利用B-Ge共掺单模光纤制作的LPFG证实了理论的正确性,且具有很好的重复性.     

宽光谱平像场全息凹面光栅的优化研究

基于凹面光栅的几何理论,推导了子午、弧矢聚焦曲线的数学表达式和全息平像场凹面光栅制作参数的计算关系式.提出了一种新的在整个使用波长范围内同时消除子午和弧矢像差的最佳优化设计方法.这种方法不同于以光线追迹技术为基础的标准光学设计软件如CODEV或ZEMAX的优化设计方法,而是从数学表达式出发,采用光栅优化因子,对凹面光栅的子午聚焦曲线和弧矢聚焦曲线进行拟合,从理论上找到最佳的能够使子午和弧矢像差同时趋于零的像平面,然后再根据拟合参数设计制作光栅.用Matlab软件解决了子午聚焦曲线超越方程无法解的困难;讨论了不同光栅常数和入射角度时对两聚焦曲线拟合程度的影响.提出了在宽光谱使用条件下,可以通过减小入射角度和光栅刻线数来提高光谱像质.     

取样布拉格光纤光栅的传输矩阵

根据在一般坐标系下均匀布拉格光纤光栅的传输矩阵,得到了取样布拉格光纤光栅的传输矩阵。利用傅里叶变换得到了取样布拉格光纤光栅的谐振方程。结果表明,在不考虑平均折射率变化的情况下,谐振峰的位置是由光栅的周期和取样周期共同确定的,与取样时的占空比、光栅长度和耦合系数没有关系。类似于物理光栅,取样布拉格光纤光栅也存在缺级现象,给出了出现缺级的条件。     

光纤光栅时延波动对传输系统性能的影响

对啁啾光栅的时延波动进行了详细的分析，建立了时延波动的简易模型和光栅的滤波函数。大量实验和计算表明，光纤光栅的时延纹波周期在0．01～0．1nm之间，并且在光纤光栅的阻带内，时延纹波周期随波长增大而逐渐增大。利用薛定谔方程对时延波动对系统的影响进行了仿真，得出了时延波动对系统的影响不仅与波动大小有关，而且还与时延波动周期有关，并用实验进行了验证。     

全息波导显示构型设计(英文)

针对全息波导显示系统中输入光栅、转折光栅和输出光栅的光栅参量不一致,导致系统设计和光栅制作难度增大的问题.对比正常配置和锥形配置下的光栅方程,可得全息波导显示系统中全息光栅具有相同周期需要满足转向光栅60°锥形配置.由此提出波导侧面装有反射镜的三光栅单波导板显示构型,其中三个光栅周期完全相同,输入光栅和转向光栅条纹走向一致.使用光学设计软件CODE V对该构型进行仿真,验证了该构型的可行性.与传统全息波导显示构型相比,侧面反射镜的光路折叠作用使得该构型系统无效显示面积和耦合效率损失减小;三个光栅周期相同且输入光栅和转向光栅条纹走向一致,可以降低系统设计和全息光栅制作难度.该构型可以用于虚拟现实显示或者头戴式显示.     

正弦锥光纤光栅的数值计算分析

本文利用耦合模方程对正弦锥光纤光栅的反射谱进行了较为详细的计算和分析,发现,这种光纤光栅的反射谱与普通均匀周期光栅的反射谱有着很大的不同,通过控制光栅锥的形状,可得到类似于梳状滤波器的功能,对这种新型光栅在光纤激光器等方面的应用有指导意义。     

位相光栅色散特性的矢量衍射理论分析

在矢量衍射理论基础上给出了适用于任意斜入射下位相光栅反射区和透射区的广义光栅方程和广义色散公式，对位相光栅色散能力做了理论和数值分析，考察了入射角、入射方位角、入射波长、光栅周期、衍射区域介质折射率和衍射级次等六个物理量之间的相互制约关系，确立了光栅约束不等式，指出了提高光栅色散的所有可能的途径. 关键词： 位相光栅 色散特性 矢量衍射理论     

体积相位全息光栅的设计与制备

本文指出全息干版薄膜在曝光后处理过程中的收缩性和折射率变化对制备全息光栅的周期、倾斜度、布喇格入射角及衍射角的影响问题,并根据实验数据对光栅设计进行修正,再结合Kogelnik衍射方程及折射率调制度和曝光量的线性关系,在实验中基本上能准确设计出指定周期、倾斜度和衍射效率的全息光栅。     

体光栅能量振荡与脉冲分裂的研究

基于修正的Kogelnik耦合波方程,研究了飞秒脉冲通过正弦型体光栅衍射后的动态衍射特性—能量振荡和脉冲分裂现象随光栅参数和读出脉冲参数的变化。结果发现,体光栅的折射率调制度和读出脉冲的中心波长对能量振荡的周期有影响,而体光栅的周期对能量振荡周期没有影响,但会影响脉冲波包中心连线与时间轴的夹角。通过双光束干涉、群速度和群时延对出现的现象进行了解释。在衍射后期,衍射脉冲分裂为双脉冲,双脉冲间隔与体光栅的厚度和折射率调制度有关,但与体光栅周期无关,通过光场传播的局域化特性对其进行了解释。     

弯曲时片压气机时栅内二次流的数值研究

本文应用Ｂｅａｍ－Ｗａｒｍｉｎｇ近似隐式因子分解格式以及ＭＭＬ代数湍流模型,采用拟压缩性方法求解雷诺平均拟压缩Ｎ－Ｓ方程组,对弯曲叶片压气机叶栅内的三维粘性流场进行了数值研究．结果表明,正弯曲叶栅内通道涡较直叶栅强,其诱导产生的壁面涡较弱且位于吸力面与壁端的角区内,与壁角涡接近．在正弯曲叶栅出口处,通道涡开始处于破裂前期,叶栅总损失增加。反弯曲叶栅通道涡较弱,其诱导的壁面涡很强,位于通道涡左上方,壁面涡和通道涡的有利作用,使通道涡更稳定,叶栅总损失比直叶栅和正弯曲叶栅要小．     

弯扭叶片栅内减少能量损失机理研究的新进展

根据实验结果和数值计算结果的分析，本文讨论了三维流场的压力分布对弯曲叶片型式的影响。进一步揭示利用弯曲叶片减小叶栅通道内能量损失的机理，弯曲叶片可以改变三维流场内的径向、横向和流向的压力分布。对于膨胀叶栅，采用正弯曲叶片可以显著的降低叶栅中的总能量损失系数。对于叶展中部伴有边界层强烈分离的导向叶栅，采用反弯曲叶片将有利于减小总能量损失。     

天文导航中星体高精度细分定位方法研究

介绍了一种从星体图像中高精度提取恒星位置的方法.这种方法把星光成像看成是高斯点扩散函数模型,利用线性内插和最小二乘法拟合得到高斯曲面参数,从高斯曲面模型中得到亚像素级的恒星位置.由于直接进行高斯曲面拟合计算非常复杂,将二维曲面拟合转化为两个方向上的一维曲线拟合,分别得到不同的曲面系数.仿真结果表明当信噪比小于0.05时,定位精度能达到1/20像素,与质心法比较,高斯曲面拟合法精度高,抗噪声能力强.     

VIBRATION ANALYSIS OF NON-CIRCULAR CURVED PANELS BY THE DIFFERENTIAL QUADRATURE METHOD

Free-vibration characteristics of cantilever non-circular curved panels are analyzed by using the differential quadrature method (DQM) in this paper. The equations of motion of a curved panel are based on the Love's hypothesis and are expressed in an orthogonal curvilinear co-ordinate system. By applying the differential quadrature formulation and the proposed modified relationships for specified boundary conditions, the free-vibration equations of motion of the curved panel are transformed to a set of algebraic equations. Natural frequencies of a cantilever flat plate and a circular curved panel are obtained for verifying the applicability of the present approach. Good convergent trend and accuracy are observed. Effects of shallowness, thickness and aspect ratios on the natural frequencies of a cantilever curved panel are also investigated. Furthermore, natural frequencies of parabolic curved panels are obtained. In all cases studied, the efficiency and convenience of the DQM are illustrated.     

Kink properties on curved manifold

In the framework of the two-dimensional field model the influence of the curvature on kink width is discussed. Breading of the kink width in a curved region of the manifold is observed. Examples of kinks on curved manifolds are studied analytically and numerically as well. The deformation of the kink front in the form of the travelling waves propagating along the curved surfaces are found. Enlarging of the travelling wave speed in a curved regions of the manifold is predicted.     

不同冲角下弯曲扩压叶栅出口流场的实验研究

本文在不同冲角下对直叶片、正倾斜叶片、正弯曲叶片和Ｓ型叶片组成的四种平面扩压时栅的出口流场进行了详细的实验研究。通过与常规直叶栅的对比，分析了正倾斜叶栅降低根区二次流损失的原因，阐述了正弯曲叶栅在正冲角下改善叶栅两端区流动状况，降低能量损失的机理和Ｓ型叶栅降低根区损失、总损失系数对冲角变化不敏感的原因。结果表明，扩压叶栅中采用正弯曲叶片在一定条件下是可行的。     

No existence of the geometric potential for a Dirac fermion on a two-dimensional curved surface of revolution

For a free particle that moves non-relativistically on a curved surface, there are curvature-induced quantum potentials that significantly influence the surface quantum states. However, the experimental results in topological insulators, whether curved or not, indicate no evidence of such a potential for the relativistic particles constrained on the curved surface. Within the framework of Dirac quantization scheme, we demonstrate a general result that for a Dirac fermion on a two-dimensional curved surface of revolution, no curvature-induced quantum potential is permissible.     

ANALYTICAL AND NUMERICAL STUDY ON SPATIAL FREE VIBRATION OF NON-SYMMETRIC THIN-WALLED CURVED BEAMS

For spatial free vibration of non-symmetric thin-walled circular curved beams, an accurate displacement field is introduced by defining all displacement parameters at the centroidal axis and three total potential energy functionals are consistently derived by degenerating the potential energy for the elastic continuum to that for thin-walled curved beams. The closed-form solutions are newly obtained for in-plane and out-of-plane free vibration analysis of monosymmetric curved beams respectively. Also, two thin-walled curved beam elements are developed using the third and fifth order Hermitian polynomials. In order to illustrate the accuracy and the practical usefulness of the present method, analytical and numerical solutions by this study are presented and compared with previously published results or solutions by ABAQUS' the shell element. Particularly, effects of the thickness curvature as well as the inextensional condition are investigated on free vibration of curved beams with monosymmetric and non-symmetric cross-sections.     

Benchmark numerical solutions for radiative heat transfer in two-dimensional medium with graded index distribution

In graded index media, the ray goes along a curved path determined by Fermat principle. Generally, the curved ray trajectory in graded index media is a complex implicit function, and the curved ray tracing is very difficult and complex. Only for some special refractive index distributions, the curved ray trajectory can be expressed as a simple explicit function. Two important examples are the layered and the radial graded index distributions. In this paper, the radiative heat transfer problems in two-dimensional square semitransparent with layered and radial graded index distributions are analyzed. After deduction of the ray trajectory, the radiative heat transfer problems are solved by using the Monte Carlo curved ray-tracing method. Some numerical solutions of dimensionless net radiative heat flux and medium temperature are tabulated as the benchmark solutions for the future development of approximation techniques for multi-dimensional radiative heat transfer in graded index media.     

Curved graphene nanoribbons and tunneling current

The density of states and the electronic spectrum of long-wave electrons in a curved graphene nanoribbon is calculated on the basis of the Dirac equation in curved space-time. Using this density of states, we obtain the current-voltage characteristics of tunnel junctions of nanoribbons with metal and quantum dots. The dependence of the curved nanoribbon on the geometric parameters is found.