椭圆环刚体的转动惯量

利用椭圆参数方程和转动惯量定义式计算了椭圆环刚体绕垂直于环平面且通过中心的轴旋转的转动惯量.     

浅析椭圆盘及椭球体的转动惯量

给出椭圆盘和椭球体对于过质心任意轴的转动惯量公式的新形式,并由此导出椭圆和椭球的一种几何性质。     

用垂直轴定理计算椭圆环的转动惯量

本文应用薄板刚体运动转动惯量垂直轴定理，计算椭圆环绕过质心的垂直于椭圆环面的轴的转动惯量，并给出简洁的计算公式。     

浅析椭圆盘及椭球体的转动惯量

给出椭圆盘和椭球体对于过质心任意轴的转动惯量公式的新形式,并由此导出椭圆和椭球的一种几何性质     

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.     

用垂直轴定理计算椭圆环的转动惯量

本文应用薄板刚体转动惯量垂直轴定理，计算椭圆环绕过质心的垂直于椭圆环面的轴的转动惯量，并给出简洁的计算公式     

广义坐标变换在普通物理学中的一些应用

文章举例阐述了广义坐标变换在力学和电磁学中的一些应用.应用广义极坐标变换和广义球坐标变换计算线椭圆环、椭圆盘和椭球刚体对任意轴的转动惯量;应用电多极展开的具体形式结合广义坐标变换,计算均匀带电线椭圆环、椭圆盘和椭球在远场处的电势.     

线电荷椭圆环中心轴线电场分布

运用场的叠加原理和椭圆积分的理论和方法,导出了线电荷椭圆环中心轴线场强分布的解析表达式,进行了有关的讨论,指出线电荷椭圆环中心轴线场分布具有的重要特性.     

对称性刚体的转动惯量

通过理论分析导出了垂直于椭圆环平面且过中心转轴的转动惯量表达式,利用级数展开求出近似解,并利用此方法估算出垂直于四叶玫瑰线平面且过中心转轴的转动惯量,为计算工程物理中刚体的转动惯量提供参考。     

椭圆摆的一种实现方法

对光滑水平面上具有圆弧形光滑面的物块和在圆弧上运动的质点构成的椭圆摆系统,利用非惯性系中质点沿圆轨道运动的特点,求出了椭圆摆的周期.     

Skew-faceted elliptical reflector

A light patch created by an illumination optical element often requires having a specific shape and illuminance distribution. This Letter presents a modification of Oliker's elliptical faceted reflector that can work with a very large field of view and provide the required uniformity across a specified target area.     

Free vibration analysis of a composite elliptical ring-membrane consisting of confocal elliptical parts

The paper is concerned with the free vibration problem of a composite elliptical ring-membrane consisting of confocal elliptical parts under certain initial conditions. Some numerical results are given graphically.     

Off-axial elliptical Hermite-cosh-Gaussian beams

A new kind of light beams named the off-axial elliptical Hermite-cosh-Gaussian beams (EHChGBs) is introduced in this paper by use of tensor method. An analytical propagation expression for an off-axial EHChGB passing through an axially nonsymmetrical optical ABCD system is derived by use of vector integration. The derived formula can be easily reduced to the propagation formulas of off-axial elliptical cosh-Gaussian beams and elliptical Hermite-cosh-Gaussian beams. Some numerical simulations are illustrated for the propagation properties of off-axial EHChGBs passing through a free space and a focusing optical system, and further extensions are suggested.     

Acoustic elliptical cylindrical cloaks

By making a comparison between the acoustic equations and the 2-dimensional (2D) Maxwell equations, we obtain the material parameter equations (MPE) for acoustic elliptical cylindrical cloaks. Both the theoretical results and the numerical results indicate that an elliptical cylindrical cloak can realize perfect acoustic invisibility when the spatial distributions of mass density and bulk modulus are exactly configured according to the proposed equations. The present work is the meaningful exploration of designing acoustic cloaks that are neither sphere nor circular cylinder in shape, and opens up possibilities for making complex and multiplex acoustic cloaks with simple models such as spheres, circular or elliptic cylinders.     

The elliptical gaussian wave transformation due to diffraction by an elliptical hologram

Realized as an interferogram of a spherical and a cylindrical wave, the elliptical hologram is treated as a plane diffracting grating which produces Fresnel diffraction of a simple astigmatic gaussian incident wave. It is shown that if the principal axes of the incident beam coincide with the principal axes of the hologram, the diffracted wave field is composed of three different astigmatic gaussian waves, with their waists situated in parallel but distinct planes. The diffraction pattern, observed on a transverse screen, is the result of the interference of the three diffracted wave components. It consists of three systems of overlapped second-order curves, whose shape depends on the distance of the observation screen from the hologram, as well as on the parameters of the incident wave beam and the hologram. The results are specialized for gratings in the form of circular and linear holograms and for the case of a stigmatic gaussian incident wave, as well as for the normal plane-wave incidence on the three mentioned types of hologram.     

Analytical propagation expression of elliptical Gaussian beams through nonsymmetric systems with an elliptical aperture

A tensor form for describing approximately the elliptical aperture function is defined that can be expanded into a finite sum of complex Gaussian functions. An analytical propagation formula of elliptical Gaussian beams through nonsymmetric and paraxial optical systems with an elliptical aperture is obtained by using tensor method. A simple numerical example is given to illustrate for its applications.