A Piezoelectric Screw Dislocation Interacting with an Elliptical Piezoelectric Inhomogeneity Containing a Confocal Elliptical Rigid Core

The electro-elastic interaction between a piezoelectric screw dislocation and an elliptical piezoelectric inhomogeneity, which contains an electrically conductive confocal elliptical rigid core under remote anti-plane shear stresses and in-plane electrical load is dealt with. The analytical solutions to the elastic field and the electric field, the interfacial stress fields of inhomogeneity and matrix under longitudinal shear and the image force acting on the dislocation are derived by means of complex method. The effect of material properties and geometric configurations of the rigid core on interfacial stresses generated by a remote uniform load, rigid core and material electroelastic properties on the image force is discussed.     

Non-paraxial Elliptical Gaussian Beam

By using the methods of Hertz vector and angular spectrum transormation, the exact solution of non-paraxial elliptical Gaussion beam with general astigmatism based on Maxwell′s equations is obtained. We discussed its propagation characteristics. The results show that the orientation of the elliptical beam spot changes continuously as the beam propagates through isotropic media. Splitting or coupling of beam spots may occur for different initial spot size. This is very different from that of paraxial elliptical Gaussian beam.     

Non-paraxial Elliptical Gaussian Beam

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椭圆包层光纤场的迭代近似解与漏模损耗计算

试图理论上处理椭圆包层各向异性光纤复杂的折射率分布。数学过程包括折射率分布的级数展开、δ－涵数的导数和积分以及用格林函数求解方程的迭代技术。给出了椭圆包层各向异性光纤漏模损耗的解析表达式。数值结果表明椭圆包层各向异性光纤的漏模损耗比领结型光纤小，比阶跃型各向异性光纤大；偏心率越大越有利于制造单模单偏光纤。     

椭圆傅里叶级数展开法和椭圆光波导的截止频率

与严格马丢（Ｍａｔｈｉｅｕ）函数、有限元法等许多典型方法及一些实验测试的比较表明,本文提出的计算弱导椭圆光波导的椭圆傅里叶级数展开法具有通用、准确、高效、简便的优点。     

电磁学中几个简单问题里的椭圆积分

电磁学中有些简单问题的需要有椭圆积分表示，本给出了3个例子。     

椭圆平顶高斯光束及其传输特性

 用张量光学方法定义了三维不可分离变量的椭圆平顶高斯光束(EFGB),导出了这种光束经过非轴对称光学系统的传输公式及相应的张量ABCD定律, 并对EFGB经过自由空间的传输作了数值计算。结果表明, EFGB的传输特性依赖于阶次, 而且耦合EFGB的光强分布在传输过程中会发生旋转。     

Characteristic Study of the Periodically Iris-Loaded Elliptical Waveguide for Slow-Wave Structures

The slow-wave characteristics taking no account of space harmonics for periodically iris-loaded elliptical waveguides is presented. By using the field-matching method, the dispersion equation and the mean interaction impedance for odd and even hybrid modes of this structure are derived respectively. It is indicated from the numerical calculation results that changing the eccentricity can improve the dispersion characteristics and the interaction impedance for _oHEM₀₁ mode.     

椭圆环形刚体转动惯量的数值计算

用Matlab编程对椭圆环形刚体的转动惯量进行了数值计算,并拟合出了椭圆环形刚体转动惯量的多项式表示式,从而可快速计算出椭圆环形刚体的转动惯量.     

Elliptical Gaussian solitons in synthetic nonlocal nonliear media

This paper studies analytically and numerically the dynamics of two-dimensional elliptical Gaussian solitons in a "double-self-focusing" synthetic nonlocal media featuring elliptical and circular Gaussian response with different degrees of nonlocality.Based on the variational approach,it obtains the approximately analytical solution of such Gaussian elliptical solitons.It also computes the stability of the solitons by numerical simulations.     

Multiple and Strong Luminosity Evolution in the Population of Elliptical Galaxies

The traditional single burst and passive evolution model for elliptical galaxies should not be accepted. In this paper we demonstrate further by comparison of the model predictions with the observed B-K color distribution of galaxies, that the internal extinction by dust cannot save the traditional scenario for ellipticals either. Hence we do not agree with Zepf's (S.E. Zepf, Nature 390 (1997) 377) argument that such a scenario could still survive if ellipticals might have formed in dusty starburst environments. Furthermore, we have also found that the luminosity evolution within the population of ellipticals should be strong, complicated or multiple, which is not favored by our previous study of number counts for ellipticals. The conflicting results simply suggest that the pure luminosity evolution model should not be accepted, and hence the number evolution for ellipticals is a straightforward inference. Our conclusions hold in any one of the three cosmological models, i.e., flat, open, or Λ-dominated, under consideration.     

双包层椭圆光波导解析解

解析求解了双包层椭圆光纤中的波动方程，得到了模式精确解有模式特征方程。对基模的特征方程进行了数值计算，给出了不同椭圆比下的归一化双折射和模间色散随归一化频率的变化关系曲线，并与高斯近似解的结果进行了比较。     

新型椭球形窗口零位检测技术研究

椭球形窗口的检测技术严重阻碍其成功应用。首先简要介绍了目前普遍使用的非球面检测技术,并针对椭球形窗口大倾斜、大偏心、深非球面的特点,基于零位补偿检测法原理,设计了一种适合椭球形窗口检测的改进型Offner零位补偿检测系统。检测系统包括补偿镜、场镜和标准球面参考镜,检测系统工作原理为:干涉仪出射平行光线通过补偿镜及场镜产生修正波前,通过椭球形窗口照射到标准球面反射镜,并按原光路返回与参考光线干涉,其干涉结果显示出椭球形窗口的面形偏差。实现了对椭球形窗口的高精度全口径一次检测并给出了完整的设计结果。检测了长径比为1.0,口径为110mm的椭球形窗口,其波前残余波像差均方根值为0.0052λ。设计结果为实际使用提供了一定的参考。     

高阶椭圆厄密–高斯光束的轨道角动量研究

从傍轴条件下光束轨道角动量的基本理论出发,根据高阶椭圆厄密–高斯光束的光场分布,运用张量方法,对高阶椭圆厄密-高斯光束轨道角动量的密度分布进行了理论分析,得到了求解该密度分布的计算公式,并在给定参量条件下作了数值模拟.进一步对光束中每个光子携带的平均轨道角动量进行了计算,发现其值随着椭圆厄密-高斯光束阶次的增大而增大,表明高阶椭圆厄密-高斯光束能够比椭圆高斯光束或拉盖尔-高斯光束提供高得多的轨道角动量.     

Finite Element Analysis of the Field Patterns in Elliptical Waveguide

In this paper, finite element method is first used to discuss the field patterns in a hollow perfectly conducting pipe with elliptical cross section. The electrical field lines of the dominant TE mode as well as the magnetic field lines of the lowest TM mode are presented. The results are the same with literatures, and also give a correction to the field pattern of the lowest TM mode in elliptical waveguide.     

基于椭圆孔微结构纤芯的高双折射光子晶体光纤

提出了一种在纤芯引入微小椭圆孔实现高双折射光子晶体光纤的方法.采用全矢量有限元方法和完美匹配层条件，依次研究了光子晶体光纤在纤芯中引入单个、双个、三个微小椭圆孔情况下的双折射特性.模拟结果表明，纤芯微小椭圆孔主导了光子晶体光纤的双折射特性，其参量及个数对双折射有着重要的影响，增大椭圆面积、椭圆率可以进一步提高光子晶体光纤的双折射.最后设计和研究了一种采用三环阵列椭圆孔微结构纤芯的光子晶体光纤，其双折射可以达到2.7×10－3.     

新型折反射式椭球形整流罩光学系统的设计

提出了一种可用于指导非旋转对称、折反射式光学系统设计的Wasserman-Wolf曲面设计方法,并将其用于设计椭球形整流罩光学系统,得到的系统具有结构尺寸小的优点。利用最小二乘拟合的方法使系统初始结构兼顾各个扫描视场的像差校正需求,克服了以往只针对零视场计算校正元件初始参数致使扩展至整个扫描视场时系统评价函数难以收敛的弊端。同时,从平面对称的矢量像差理论出发,分析了平面对称反射镜的像差特性,阐述了在不同扫描视场中,利用反射镜倾斜来进行动态像差补偿的原理。设计了一套工作波段为中波红外的椭球形整流罩光学系统,该系统的调制传递函数(MTF)在整个扫描视场内接近衍射极限。     

高速气体与椭圆柱云相互作用的数值研究

高速颗粒流在天文、自然灾害、工业安全、医疗工业和国防等领域有着重要应用。采用基于分层流模型的直接数值模拟方法,对平面激波与椭圆柱云的相互作用进行数值研究,重点关注椭圆柱横截面的不同长短轴之比和椭圆柱横截面长轴与来流方向所成角度对流场的影响,从气体来流方向上的速度、x轴和y轴方向上的均方根速度、动能、内能和湍动能的分布上进行分析,对能量在计算域的上游区域、椭圆柱云区域和下游区域进行定量分析。同时针对椭圆柱改进了一维体积平均模型,利用该模型拟合了由直接数值模拟得到的反射激波和透射激波位置,获得了最适配的一维体积平均模型中的人工有效阻力系数,并探讨此系数的分布规律。     

椭圆孔径与轴棱锥系统产生带状近似无衍射光束

基于菲涅耳衍射理论,硬边孔径的复高斯函数展开法及稳相法研究了椭圆孔径与轴棱锥系统的光束传输特性,推导出了高斯平面波经轴棱锥衍射后产生的无衍射光场的表达式,数值模拟了不同传播距离处的截面光强分布,并设计了实验进行验证。用电荷耦合器件(CCD)拍摄得到不同传播距离处的光强分布。实验和模拟结果均表明平面波经椭圆孔径和轴棱锥系统后可获得具有马丢光束特征的带状无衍射光束。研究结果对无衍射光束在光学无损检测、条码扫描等应用上具有重要的指导作用。