磁场强度H与磁介质无关的充要条件及其应用

推导出磁场强度H与磁介质无关的充要条件，获得了一种计算有介质存在时磁感应强度B分布的简单方法．     

球面波照明下利用阿贝滤波制作全息光栅

在阿贝成像理论基础上,提出了一种球面波照明方式下的阿贝滤波制作全息光栅方法。该方法所用光学元件较少,光路简单易排,很容易制作出需要的低频光栅。     

用棱镜耦合方法测量块状材料折射率

本文介绍一种用棱镜耦合方法测量块状材料折射率的简单方法。由测得的棱镜入射角(棱镜基面上的全反射在入射角变弱)确定折射率。该方法具有操作简单,试样制备方便等优点。如果棱镜经过良好校定,该方法的精度与最小偏向角不相上下。本文给出了几种材料的实验结果,并估计出可能产生的误差。     

图象差异的彩色立体显示

本文提出一种简单的实现图象差异的立体彩色显示方法,对两张黑白图片能够用不同的颜色显示出差异部分在立体空间的相对位置。     

如何“写”出平面简谐波的波函数

介绍了大学物理课堂中讲授平面简谐波波函数的一种教学设计,其核心是在课堂教学中归纳总结出平面简谐波波函数的一般形式,为学生提供处理波函数问题的简单方法,该方法只要给定任意点的振动方程及波的传播方向,就可依据一般形式"写"出平面简谐波的波函数.     

理想气体压强公式的一种推导方法

本文从球形容器中理想气体入手，用一种简单易懂且不失一般性的方法，推导出理想气体压强公式。     

简单而巧妙的科普仪器设计与制作探讨

简单而巧妙的科普仪器设备开发与设计是科普工作的有效切入点和出发点,研究归纳出开发与设计简单而巧妙科普资源的主要内容、方法和技术路线,提出走开发融地方性、趣味性与启发性为一体的简单而巧妙科普仪器制作之路。在科普仪器开发中既要有使人们在操作实验中体验科技的魅力,又要激发他们的创造行为,使简单而巧妙的科学探究和技术创新活动形成一种有新时代地方本土特色的科普教育新模式。     

Lotus 123软件在确定立方晶系Miller指数中的应用

本文论述了应用lotus 123软件确定立方晶系Miller指数的方法.这个方法具有简单、直观、迅速、精度高等特点,而且同时也确定出晶格常数α值。对于晶系的确定也具有一定的指导意义。     

如何确定电路换路后的初始条件

从电容电压和电感电流是否跃交出发，对初始条件的确定进行了分类讨论，并对完全耦合互感电路初始条件的确定给出了一种简单方法。     

一种新颖的宽带光纤喇曼放大器优化设计方法

介绍了一种新颖的宽带光纤喇曼放大器的优化设计方法.通过研究多波长后向泵浦光纤喇曼放大器的传输方程, 分两步来确定各泵浦波的频率及输入功率的大小.首先通过模拟煺火算法迭代出满足条件的泵浦波频率,然后利用平均功率分析方法,采用四阶阿当迭代方法计算出各泵浦波输入功率的大小,从而设计出具有较宽平坦增益带宽的光纤喇曼放大器.该算法是一种简单有效的优化方法.     

Local structure-preserving methods for the generalized Rosenau-RLW-KdV equation with power law nonlinearity

Local structure-preserving algorithms including multi-symplectic, local energy-and momentum-preserving schemes are proposed for the generalized Rosenau–RLW–Kd V equation based on the multi-symplectic Hamiltonian formula of the equation. Each of the present algorithms holds a discrete conservation law in any time–space region. For the original problem subjected to appropriate boundary conditions, these algorithms will be globally conservative. Discrete fast Fourier transform makes a significant improvement to the computational efficiency of schemes. Numerical results show that the proposed algorithms have satisfactory performance in providing an accurate solution and preserving the discrete invariants.     

Application of multiresolution analysis to the modeling of microwave and optical structures

A review of wavelet based techniques for the modeling of electromagnetic and optical structures is provided in this paper. Fundamental theoretical aspects of Multiresolution Analysis are mentioned along with mathematical properties of wavelet bases that lead to the construction of highly efficient numerical schemes and fast algorithms. Applications of such schemes in the field of time and frequency domain analysis of electromagnetic geometries are shown and the recently developed Multiresolution Time Domain technique is extensively presented. The analysis and evaluation of wavelet based techniques indicates their potential to provide fast and accurate solutions, thus broadening the limits of existing electromagnetic solvers.     

An Efficient Proximity Point Algorithm for Total-Variation-Based Image Restoration

In this paper, we propose a fast proximity point algorithm and apply it to total variation (TV) based image restoration. The novel method is derived from the idea of establishing a general proximity point operator framework based on which new first-order schemes for total variation (TV) based image restoration have been proposed. Many current algorithms for TV-based image restoration, such as Chambolle's projection algorithm, the split Bregman algorithm, the Bermúdez-Moreno algorithm, the Jia-Zhao denoising algorithm, and the fixed point algorithm, can be viewed as special cases of the new first-order schemes. Moreover, the convergence of the new algorithm has been analyzed at length. Finally, we make comparisons with the split Bregman algorithm which is one of the best algorithms for solving TV-based image restoration at present. Numerical experiments illustrate the efficiency of the proposed algorithms.     

基于深度递归级联卷积神经网络的并行磁共振成像方法

快速磁共振成像是磁共振研究领域重要的课题之一.随着大数据和深度学习的兴起,神经网络成为快速磁共振技术的重要方法.然而网络性能表现和网络参数量之间较难取得平衡,且对于多通道数据重建的并行成像问题,相关研究较少.本文构建了一种深度递归级联卷积神经网络结构,用于处理并行成像问题.这种网络结构在减少网络参数量的同时,能够尽可能地提高网络的表达能力,提高网络重建的精确度.实验结果表明,相较于传统并行成像方法,通过训练好的神经网络对欠采样磁共振数据进行重建,可以得到更准确的重建结果,且重建时间大大缩短.     

A fast Fourier transform on multipoles (FFTM) algorithm for solving Helmholtz equation in acoustics analysis

This article presents a fast algorithm for the efficient solution of the Helmholtz equation. The method is based on the translation theory of the multipole expansions. Here, the speedup comes from the convolution nature of the translation operators, which can be evaluated rapidly using fast Fourier transform algorithms. Also, the computations of the translation operators are accelerated by using the recursive formulas developed recently by Gumerov and Duraiswami [SIAM J. Sci. Comput. 25, 1344-1381(2003)]. It is demonstrated that the algorithm can produce good accuracy with a relatively low order of expansion. Efficiency analyses of the algorithm reveal that it has computational complexities of O(Na), where a ranges from 1.05 to 1.24. However, this method requires substantially more memory to store the translation operators as compared to the fast multipole method. Hence, despite its simplicity in implementation, this memory requirement issue may limit the application of this algorithm to solving very large-scale problems.     

Improvement of the recursive projection method for linear iterative scheme stabilization based on an approximate eigenvalue problem

An algorithm for stabilizing linear iterative schemes is developed in this study. The recursive projection method is applied in order to stabilize divergent numerical algorithms. A criterion for selecting the divergent subspace of the iteration matrix with an approximate eigenvalue problem is introduced. The performance of the present algorithm is investigated in terms of storage requirements and CPU costs and is compared to the original Krylov criterion. Theoretical results on the divergent subspace selection accuracy are established. The method is then applied to the resolution of the linear advection–diffusion equation and to a sensitivity analysis for a turbulent transonic flow in the context of aerodynamic shape optimization. Numerical experiments demonstrate better robustness and faster convergence properties of the stabilization algorithm with the new criterion based on the approximate eigenvalue problem. This criterion requires only slight additional operations and memory which vanish in the limit of large linear systems.     

Accuracy and CPU time of JE-TLM,PLRC-TLM and CRC-TLM methods for plasma medium

The current density (JE), the piecewise linear recursive convolution (PLRC) and the constant convolution recursive (CRC) techniques are developed and integrated into the transmission line matrix (TLM) algorithm. A comparison of these three schemes according to the criteria of accuracy and CPU time is presented. Numerical experiments show that JE provides the most accurate solution and requires the least CPU time; PLRC is nearly as accurate but consumes more CPU time than CRC.     

FDTD Simulation of Electromagnetic Propagation in Magnetized Plasma Using Z Transforms

The electromagnetic propagation through a magnetized plasma slab is studied using the finite-difference time-domain method by means of the z transform The reflection and transmission coefficients of the magnetoactive plasma for the right-hand circularly polarized wave are presented. The comparison of the results of the Z transform and recursive convolution algorithms with analytic values indicates that the Z transform algorithm is more accurate than the recursive convolution algorithm. The Z transform algorithm overcomes the drawback that the recursive algorithm cannot predict the transmission coefficient of the magnetized plasma slab for the right-hand circularly polarized wave in the stop band.     

孤立波方程的保结构算法

讨论了孤立波方程的保结构差分算法，以一些经典的孤立波方程为例，如KdV，sine-Gordon，K-P方程，给出了它们的辛和多辛结构，说明辛和多辛算法的可适用性．提出局部守恒算法和广义保结构算法的概念，它们是保结构算法的概念自然推广．还给出一种能系统构造局部守恒格式的复合方法．数值例子说明，保结构数值能很好模拟各种孤立波的演化。