A minimal composite theory for stability of non-parallel compressible boundary-layer flow

A new minimal composite theory that extends the approach of Govindarajan and Narasimha [1] is proposed here for 2D non-parallel compressible boundary-layer stability subject to 3D disturbances. The mean profiles are obtained from Hortons analysis, which provides a good approximation for a large range of Prandtl numbers at non-zero pressure gradients. In the lowest order, all effects of order lower than O(R^-2/3) anywhere in the boundary-layer are included, R being the local boundary-layer Reynolds number; the resulting non-parallel formulation yields a set of four ordinary differential equations, as compared to the five coupled equations of classical parallel flow theory of Mack [2]. The largest effect on stability of flow non-parallelism is found to be due to the wall-normal advection of velocity and temperature disturbance quantities by the mean flow. The present theory shows that the bulk viscosity, invariably included in compressible stability theories, is irrelevant at the lowest order. In comparison with the full [O(R^-1)] non-parallel theory, the present theory is marginally better than the parallel flow theory. PACS 03.50.De, 04.20-q, 42.65-k     

利用非平行矩形板电容器测量金属的线胀系数

根据非平行矩形板电容器测量弹性模量的实验原理,提出了用非平行矩形板电容器测量金属线胀系数,并对实验装置进行了改进,提高了实验的灵敏度,降低了相对非线性误差.     

利用场强与电势的关系计算非平行平板电容器的电容

对于非平行平板电容器,利用电场与电势的基本关系,求解微分方程,得到电容器的电容值.     

三个非平行波导间的耦合

提出一种分析非平行波导的简明方法…耦合系数推广法,把非平行波导几何图形的变化直接转化成波导耦合系数中波导间距的变化．即对耦合系数进行了巧妙的推广．把波导间距的变化以指数的形式潜人到耦合微分方程中,建立了非平行三波导系统的耦合方程。这些耦合方程包含了非平行波导传输的全部信息,即非平行波导输出光的振幅和相位,非平行传输波导的长度及其夹角．非平行波导输人端口的间距,能量转换与波导参量的关系等。对这些微分方程作巧妙的数学变换,得到非平行三波导耦合系统输出光的完整分析解,分析和讨论了对称和不对称输人初始条件下三个非平行波导的耦合情况。由此可以优化非平行波导的设计参量。     

非平行板电容器电场和电容的另一种计算

通过求解电势的拉普拉斯方程,得到非平行板电容器两极板间的电势分布,从而求出其电场和电容,结果与用其他方法所得结果完全相同．     

飞秒激光与等离子体相互作用中自生磁场的热电机制

采用理论分析和数值模拟研究了考虑相对论效应的自生磁场及其产生机制,给出了自生磁场的解析表达式,得到了温度梯度和密度梯度的非共线性所引起的自生磁场空间分布的时间演化关系。数值结果表明,当峰值强度为1019 W/cm2的激光作用于凹形靶前表面时,在等离子体表面领域观察到的自生磁场最大值为51102 T量级,与实验测量结果相符合。     

倒谱本征空间结构化高斯混合模型语音转换方法

针对非平行语料非联合训练条件下的语音转换,提出一种基于倒谱本征空间结构化高斯混合模型的方法。提取说话人语音倒谱特征参数之后,根据其散布矩阵计算本征向量构造倒谱本征空间并训练结构化高斯混合模型SGMM-ES(Structured Gaussian Mixture Model in Eigen Space)。源和目标说话人各自独立训练的SGMM-ES根据全局声学结构AUS(Acoustical Universal Structure)原理进行匹配对准,最终得到基于倒谱本征空间的短时谱转换函数。实验结果表明,转换语音的目标说话人平均识别率达到95.25%,平均谱失真度为1.25,相对基于原始倒谱特征空间的SGMM方法分别提高了0.8%和7.3%,而ABX和MOS测评表明转换性能非常接近于传统平行语料方法。这一结果说明采用倒谱本征空间结构化高斯混合模型进行非平行语料条件下的语音转换是有效的。     

提高深紫外光刻照明系统扩束单元光束均匀性的方法

在曝光线宽为90nm节点的投影光刻机照明系统中,针对准分子激光光源扩束后出射光束均匀性较差的问题,用高斯光束边缘叠加能够提高均匀性的原理对反射式扩束单元进行了分析。结果表明,平行反射式扩束单元出射光束之间叠加尺寸与反射板某区域透射率存在矛盾,制约了照明光束均匀性的提高。为此,提出了非平行反射扩束镜组,推导了出射光束尺寸、叠加子光束个数与两反射镜楔角之间的关系式,确定了楔角的取值范围和扩束单元的结构形式。通过建模分析,验证了设计的扩束单元在实现光束一维扩束的同时,不仅减小了叠加光束的干涉散斑效应,还提高了光束均匀性。     

Robust L1-norm non-parallel proximal support vector machine

In this paper, we propose a robust L1-norm non-parallel proximal support vector machine (L1-NPSVM), which aims at giving a robust performance for binary classification in contrast to GEPSVM, especially for the problem with outliers. There are three mainly properties of the proposed L1-NPSVM. Firstly, different from the traditional GEPSVM which solves two generalized eigenvalue problems, our L1-NPSVM solves a pair of L1-norm optimal problems by using a simple justifiable iterative technique. Secondly, by introducing the L1-norm, our L1-NPSVM is more robust to outliers than GEPSVM to a great extent. Thirdly, compared with GEPSVM, no parameters need to be regularized in our L1-NPSVM. The effectiveness of the proposed method is demonstrated by tests on a simple artificial example as well as on some UCI datasets, which shows the improvements of GEPSVM.     

非平行矩形板电容器测杨氏模量的改进

针对已有的非平行矩形板电容器测量杨氏模量的实验装置,提出了差动式结构的改进方案;通过对改进前后装置的灵敏度和相对非线性误差的分析表明：改进方案的灵敏度提高一倍,相对非线性误差将大大降低。