Characteristics of optical multiple channelled filters made of aperiodically patterned phase elements

Alternative optical filtered phase elements (OFPEs) in a rotationally symmetrically optical system are designed based on the general theory of the phase-retrieval. The OFPEs can implement simultaneously the filtering and focusing functions of optical waves at the preassigned wavelengths. The design procedure corresponds to solving an inverse source problem in optics. The designed OFPEs have aperiodic surface-relief depth distributions. Numerical results demonstrate that the constructed OFPEs can achieve the predetermined goal well. The performances of the designed OFPEs are appraised in detail, for instance, the line-width of the transmissive peaks, the spot size of the focusing point on the focal plane, and the effect of phase quantized level of the OFPEs, etc. It is expected that the presented OFPEs may diversify the optical filtering devices to meet various applications in micro-optics.     

Double transmission-mediums based geometric phase analysis for determining the two surface profiles of transparent object

The accurate measurement for the surface profiles of transparent object is of significance for quality control in optical devices and precision instruments. Here, a double transmission-mediums based geometric phase analysis method has been developed to evaluate both the upper and lower surface profiles of transparent object. To do this, the tested transparent object is placed above a preprinted lattice pattern. When viewed from above with a CCD camera, any slope variations of the surfaces will lead to distortions of the transmission-lattice patterns. And when changing one side of object’s contact medium, the lattice virtual image with modulated phase is distorted once again. Combined with the derived relationship between phase variations of transmission-lattice patterns and out-of-plane heights of two surfaces, the double-sided surface profiles of transparent object can be reconstructed successfully. With this, the technique, which is verified experimentally, is demonstrated to be a feasible and reliable method. The advantage of this method is that it simplifies the setup and allows a fast estimation of the geometry of a transparent specimen. The double-sided profiles can be decoupled easily according to the big difference of refractive indexes between contact mediums. And the calculation accuracy can be guaranteed by the weighted average from four directions.     

A general finite element model for numerical simulation of structure dynamics

A finite element model used to simulate the dynamics with continuum and discontinuum is presented. This new approach is conducted by constructing the general contact model. The conventional discrete element is treated as a standard finite element with one node in this new method. The one-node element has the same features as other finite elements, such as element stress and strain. Thus, a general finite element model that is consistent with the existed finite element model is set up. This new model is simple in mathematical concept and is straightforward to be combined into the existing standard finite element code. Numerical example demonstrates that this new approach is more effective to perform the dynamic process analysis in which the interactions among a large number of discrete bodies and continuum objects are included.     

应用声有限元素法模拟坐席吸声低谷效应

本文给出了应用声有限元素法模拟坐席吸声低谷效应的计算模型。该模型首先在时间域计算房间脉冲响应,再通过傅立叶变换得到声压频谱特性。将有限元分析结果与已有的模型实验及大厅实测数据相比较,证明该方法是研究坐席吸声低谷效应的有效手段。     

有限元法分析空心后向反射器面形精度

为了探索空心后向反射器在工作状态下光学特性的变化 ,通过运用有限元法和在DEC/ 5 0 0 0工作站上采用MSC/NASTRAN程序 ,研究了用三种不同性能材料制成的空心后向反射器在不同几何尺寸和不同支承点位置时 ,载荷与温度梯度对空心后向反射器面形精度的影响。分别得出了反射器工作面变形与载荷大小、材料性能、支承点位置、温度梯度的关系曲线。这些曲线表明 :在确定条件下的反射器有一最佳的支承点位置 ;材料性能中的弹性模量对面形精度的影响最为显著 ;面形精度与载荷大小、温度梯度基本上成线性关系 ,但温度梯度是影响面形精度诸因素中的主要因素     

Effects of inclined magnetic field on mixed convection in a nanofluid filled double lid-driven cavity with volumetric heat generation or absorption using finite element method

A computational analysis has been performed on mixed convection in a double sided lid-driven cavity in the presence of volumetric heat generation or absorption. Effects of inclined magnetic field are also studied. The governing parameters are solved via Galerkin weighted residual finite element method in space and the Crank–Nicolson in time. Governing parameters are nanoparticle volume fraction (0.0?≤???≤?0.04), Richardson number (0.01?≤?Ri?≤?10), internal heat generation or absorption parameter $(?10\le q\le 10),$ inclination angle of magnetic field (0°?≤?γ?≤?90°) and Hartmann number (0?≤?Ha?≤?100). It is observed that the highest heat transfer is obtained in case of the maximum value of heat absorption. As a further finding, heat transfer decreases with increasing of Hartmann number and increases with increasing of nanoparticle volume fraction.     

BET surface area of carbonaceous adsorbents—Verification using geometric considerations and GCMC simulations on virtual porous carbon models

The applicability of BET model for calculation of surface area of activated carbons is checked by using molecular simulations. By calculation of geometric surface areas for the simple model carbon slit-like pore with the increasing width, and by comparison of the obtained values with those for the same systems from the VEGA ZZ package (adsorbate-accessible molecular surface), it is shown that the latter methods provide correct values. For the system where a monolayer inside a pore is created the ASA approach (GCMC, Ar, T = 87 K) underestimates the value of surface area for micropores (especially, where only one layer is observed and/or two layers of adsorbed Ar are formed). Therefore, we propose the modification of this method based on searching the relationship between the pore diameter and the number of layers in a pore. Finally BET; original and modified ASA; and A, B and C-point surface areas are calculated for a series of virtual porous carbons using simulated Ar adsorption isotherms (GCMC and T = 87 K). The comparison of results shows that the BET method underestimates and not, as it was usually postulated, overestimates the surface areas of microporous carbons.     

空间望远镜分块式主镜建模与面形控制方法

空间望远镜分块式主镜的面形是由其背后布置的若干致动器控制的,是一个复杂的控制系统。应用BP神经网络的方法建立了以致动器作用力作为输入、镜面形变的Zernike多项式拟合系数作为输出的镜面形变模型。利用镜面有限元分析的大量数据对该模型进行了离线训练,并在最小二乘法的基础上,设计了加入单纯形修正算法的主镜面形静态控制器。仿真结果表明,应用该控制器对空间望远镜进行在线控制,控制精度优于最小二乘控制法。     

Determination of propagation constants in a Ti:LiNbO3 optical waveguide by using finite element and variational methods

The finite element and variational methods are used to determine the propagation constants in a titanium indiffused lithium niobate waveguide with the reconstructed refractive index profile (in depth) from the near field measurements. A subsequent second diffusion of magnesium affects the shape of the calculated electric field and we have defined an effective depth of the profile.     

A study on the phase transformation behaviour of Cu-20wt.Sn alloy produced using powder metallurgy method: Experimental and molecular dynamics modelling

In this study, Cu-20wt.Sn alloy was produced by powder metallurgy (PM) method by using high purity element powders. The phases in the microstructure of the produced alloy were determined by XRD study. The phase transformation behaviour of the alloy was investigated by DSC and modelling method. Moreover, the Cu-20wt.Sn alloy system was modelled with molecular dynamics (MD) simulation based on modified Embedded Atom Method (MEAM). The radial distribution function (RDF) was calculated to determine the structural properties of system during the phase transformations. The experimental results showed that the transformation ($\alpha +\delta$) → ($\alpha +\gamma$) occur at temperature above 500°C. The simulation results showed that the phase transformation $\alpha +\delta \to \alpha +\gamma$ occurs at 550°C temperature. Our simulation results are in reasonable agreement with the experimental data.     

对于具有大范围运动和非线性变形的柔性梁的有限元动力学建模

研究具有大范围运动和非线性变形的柔性梁的有限元动力学建模.采用有限元方法对梁结构进行离散,利用Lagrange方程建立系统的精确动力学方程.该方程不仅增加了新的表征纵向、横向、侧向弯曲变形,以及扭转变形的耦合项,同时包含了变形运动与大范围运动之间的相互耦合项.     

Numerical simulation of the EM scattering and Doppler spectrum of a low flying target above dynamic oceanic surface by using the FEM-DDM method

The Doppler (DP) spectrum of a moving target such as a ship, an iceberg or an air-plane above dynamic oceanic surfaces[1—3] is one of the most important subjects for ra-dar oceanic surveillance, target tracking and oceanic remote sensing[4—7]. With the ad-vancement of oceanic remote sensing and radar surveillance, the experimental observa-tion and theoretical modeling of oceanic clutter have been extensively studied, e.g. by using oceanic field measurement, wave tank experiment and some stud…     

Coverage temperature phase diagram of LEED spot and arced streak intensities for Li on Cu(0 0 1) surface using lattice gas model

It has been established that the arced streaks connecting four spots observed in LEED for a Li system adsorbed on a Cu(0 0 1) surface originate from the Bragg reflection from parallel adatomic lines on a c(2 × 2) lattice site. For example, one streak at about k_y = π/a originates from the parallel atomic lines including two atoms separated at a distance of d_y = 2a, which is the second-neighbor distance in a c(2 × 2) lattice.The c(2 × 2) structure sites consist of two sublattices with y = 2na and y = (2n + 1)a. Here, the difference in the number of adatoms on the two sublattices is the cause of the intensity of the midpoint of the streak, where the differences depend on the coverage of adatoms, Θ.In this study, using a lattice gas model on the substrate lattice with Monte Carlo simulation, we obtain the coverage and temperature dependence of intensities of the spots for the c(2 × 2) structure and the streaks.We found that the intensity of the streaks increase and decrease within the coverage range 0 < Θ < 0.5. That of the spots increases monotonically in this coverage range. These theoretical findings are similar to the experimental results.On the other hand, as temperature is increased, the intensity of the streaks increases and becomes saturated. We found a similar phenomenon using analytical calculation by statistical mechanics. In addition, the intensity of the spots decreased with the second-order transition.