Focusing of stochastic electromagnetic Gaussian Schell-model beams through a high numerical aperture objective

Based on vectorial Debye diffraction theory, the focusing properties of stochastic electromagnetic Gaussian Schell-model beams in the focal region of high numerical aperture objective are investigated. Expressions for the intensity distribution and the degree of polarization are derived near the focus. Numerical calculations are performed to analyze the influences of varying corresponding parameters on the changes in the intensity distribution and in the degree of polarization in the focal region.     

潘宁源放电的全三维电磁粒子模拟/蒙特卡罗碰撞数值算法研究

深入研究潘宁放电的物理机制, 研制了全三维高品质算法粒子模拟软件(PIC), 设计并添加了相应物理情景的蒙特卡罗碰撞模块(MCC), 并对电子、氢分子离子(H₂⁺)、氢正离子(H⁺)、氢三正离子(H₃⁺)同时进行了跟踪, 成功研制了全三维电磁PIC/MCC数值算法. 结合国内研究较热的潘宁放电模型, 对该算法进行模拟验证. 模拟结果显示: 采用有效的滤波算法能抑制电磁数值噪声, 电子能量呈麦克斯韦分布, 由于电子的径向漂移和加速导致离子源顶端H₂⁺产量较大. 关键词： 潘宁离子源 高品质算法 粒子模拟/蒙特卡罗     

电磁散射问题的两种反演方法研究

提出了电磁散射问题的两种反演方法:确定性梯度搜索方法和MonteCarlo随机搜索方法.给出了两种方法的基本原理,并对反演性能包括对散射体的定位能力、反演精度、反演时间进行了系统的分析与比较.数值计算结果表明,确定性方法定位精确,而随机性方法对散射体电磁参数的反演精度高且速度快,利用两者优点可以增强反演效果.     

静态电磁场边值问题计算方法

介绍常用的电磁场分析方法——解析法、有限差分法、有限元法.以静态电磁场边值问题为例,分别用自己编写的MATLAB有限差分程序及大型有限元分析软件ANSYS求出了数值解,并与解析法得到的精确解进行比较,得出了用数值法求解电磁场问题基本满足工程需要的结论.采用数值计算时,对如何减小计算机内存,取消冗余数据,也做了进一步的讨论.     

Enhanced transmission of electromagnetic waves through metamaterials

This paper reviews our recent experimental and simulation results regarding the electromagnetic wave transmission through three configurations of sandwiching structures of metamaterials: a metallic mesh sandwiched between two identical layers composed of split rings, metallic fractals, and fractal slits, respectively. We observed the enhanced transmission of the waves through these three types of sandwiching composites with respect to the opaque metallic mesh. The locations of the transmission peaks in the spectrum are associated closely with the band characteristics of the sandwiching layer by appearing either on the left- or the right-hand side of its band. PACS 41.20.Jb; 42.70.Qs; 78.20.-e; 42.25.Bs; 47.53.+n     

三维电磁扩散场数值模拟及磁化效应的影响

采用矢量有限元法实现了三维电磁扩散场数值模拟,并成功将其应用在大地电磁的正演研究中.为灵活精确地拟合起伏地形和地下不规则构造,采用由不规则四面体单元组成的非结构化网格,可根据模型设计的需要调整网格的大小.引入了基于二次场理论,将解析的一次场从总场中扣除,直接计算二次场,使得误差仅局限于相对较小的二次场,以提高总场计算精度.常规的节点有限元法不满足电性分界面上法向电场不连续和无源区单元内电流密度无散,违反麦克斯韦方程组.为克服节点有限元法的弊端,使用矢量有限元法求解基于二次电场的偏微分方程.另外,在算法设计中,考虑了磁导率参数的变化,可以模拟磁导率不均匀的模型.通过与COMMEMI模型已发表的结果对比,证明了本文算法的正确性和精确性.为突显非结构网格优势,计算了椭球异常体模型和任意地形模型的MT响应,并详细讨论了地形和磁化效应对三维数值模拟结果的影响.     

Modulation in the statistical properties of stochastic electromagnetic beams through an electromagnetic induced transparency atomic vapor

We report analytical expressions for the elements of the 2 × 2 cross-spectral density matrix of a stochastic electromagnetic beam passing through an electromagnetic induced transparency (EIT) atomic vapor. By use of the derived formulas the changes in the spectral density, the spectral degree of coherence, and the spectral degree of polarization of such a beam on propagation can be studied in detail. Numerical examples show that the statistical properties of the stochastic electromagnetic beam can be modulated by the Rabi frequency of the control light when the beam propagates through the EIT atomic vapor.     

Influence of two different representations of the G-matrix to the in-medium nucleon-nucleon cross sections

We calculate the in-medium nucleon-nucleon scattering cross sections from the G-matrix using the Dirac-Brueckner-Hartree-Fock (DBHF) approach. And we investigate the influence of the different representations of the $G$-matrix to the cross sections, the difference of which is mainly from the different effective masses.     

Adaptive numerical methods for reacting flows

In the present paper the advantages and disadvantages of adapting the numerical grid for certain classes of problems has been discussed with the use of examples, physical proofs, and numerical experiments. The major unifying aspect of the subject is the appearance of asymptotically thin regions in space which must be resolved because of their important internal structure. A very good example of this type of problem is convection/diffusion regions in general and flames in particular. For these problems adaptive grid methods are shown to offer very large advantages in efficiency and accuracy, and definitely represent an attractive area for future research. The major problem areas are shown to be the choice of adaptive strategy, geometry and grid non-orthogonality.     

Invariants and numerical methods for ODEs

The preservation of some invariants is important during the numerical integration of ODEs. In some cases, failure to maintain certain invariants leads to physically impossible solutions, in other cases to instability. Some authors report that the long term macroscopic characteristics of a solution are better represented if certain invariants are maintained. This paper considers two types of invariants, point invariants which are functions along a particular trajectory, and differential invariants which are invariant relations between neighboring trajectories, such as symplectic invariants. Conventional numerical methods usually introduce (h^p+1) errors in an invariant at each numerical step and these will accumulate over the integration interval. Two approaches to preventing this accumulation are (1) to find methods that maintain the invariants within round-off error, or (2) to find methods that maintain another invariant which is no more than (h^q) different from the invariant satisfied by the ODE. These approaches will be illustrated with some examples. The major objective of this paper is to consider the potential of general methods (that is, methods that do not depend on the specific differential equation) to maintain the invariants.     

Studies of scattering theory using numerical methods

Abstract

Numerical simulations, using both exact and approximate methods, are used to study rough surface scattering in both the smd and large roughness regimes. This study is limited lo scattcring lrom rough one-dimensional surfaces that obey the Dirichlet boundary condition and have a Gaussian roughness spectrum. For surfdces with small roughness (kh?1, where k is the radiation wavenumber and h is the root-mean-square (RMS) Surface height), perturbation theory is known to be valid. However, it is shown numerically that when kh?1 and kl?6 (where I is the surface correlation length) the Kirchhoffapprorimation is valid except at low grazing angles, and one must sum the first three orders of perturbation theory obtain the correct result. For kh?1 and kl?1, first-order perturbation theory is accurate. In this region, the accuracy of the first two terms of the iterative series solution of the exact integral equation is examined; the first term a1 this series is the Kirchhoff approximation, It is shown numerically that lor very small kh these first two terms reduce to first-order perturbation theory. However, lor this reduction to occur, kh must be made smaller than necessdry lor first-order perturbation theory to be accurate. In the regime of large roughness (kh?1) backscattering enhancement occurs when the RMS slope is on the order of unity. Several investigators have recently shown that the second term of the iterative series solution (the double-scattering term) replicates the properties of backscattering enhancement reasonably well. However, the double-scattering term has a lundamental flaw: predictions lor the scattering cross section per unit length based on the double-scattering term increase as the surfdce length is increased. This is shown here with numerical simulations and with an approximate analytical result based on the high frequency limit. The physical significance of this finding is also discussed. The final topic is the use of the double-scattering approximation to study the mechanism for backscattering enhancement with the Dirichlet boundary condition. This mechanism is usually assumed to be interference between reciprocal scattering paths. When the interlerence between reciprocal scattering paths is removed, the enhancement is eliminated. This shows that interference between reciprocal paths is almost certainly the dominant mechanism for backscattering enhancement in the scattering regime studied.     

Wave shaping through finite electromagnetic bandgap structure

Transmission mechanisms and wave steering under localized feeding conditions through a finite electromagnetic bandgap structure are investigated both experimentally and theoretically. The artificial propagating medium consists of a two-dimensional metallic wire structure dimensioned for millimetre wave operation. By analogy with electron propagation in semiconductor heterostructures, the signatures of ‘modal‘ and ‘fluid‘ propagation regimes are experimentally demonstrated. Data are then analysed through electric field patterns calculated by means of a three-dimensional solver of Maxwell‘s equations.     

静电放电火花产生的电磁场树枝模型

静电放电火花产生的电磁脉冲会对电子系统的正常工作造成严重的干扰,甚至造成系统的损伤。利用时域有限差分法建立了静电放电火花产生的电磁场的数值模型,模型中充分考虑了放电电极上的静电荷对电场的影响。把由此模型放电计算的电磁场值与由此解析方法得到的场值进行了比较,结果吻合良好。由此可以用此模型来研究静电放电火花产生的电磁场与电子系统的能量耦合问题。     

Transmission of electromagnetic waves through thin Cu films

Optical transmission is used to study the electronic structure of nanosized Cu phases that are obtained on the surface of single-crystalline NaCl (100) using vacuum deposition. It is demonstrated that Cu nanofilms with a thickness of 1–1.5 monolayers exhibit properties typical of narrow-band-gap semiconductors.     

建筑墙体对电磁脉冲响应的FDTD分析

 采用时域有限差分法和傅里叶变换对电磁脉冲作用于建筑墙体后发生的反射和透射进行了比较全面的研究分析。采用周期边界实现了不同建筑墙体对电磁脉冲响应的数值计算，对计算的结果进行了讨论分析，研究结果表明：钢筋阵对低频段的屏蔽效果很好，当频率增加时，屏蔽效果变差。混凝土墙的频域波形具有明显的周期性，存在许多谐振频率，谐振时透过很大，谐振频率由墙的厚度、磁导率和介电常数决定，要提高墙的屏蔽效果必须增加墙的电导率，以达到一个比较好的屏蔽效果。钢筋混凝土墙的屏蔽效果和反射特性由钢筋和混凝土墙共同调制决定。     

静电放电火花产生的电磁场树枝模型

 静电放电火花产生的电磁脉冲会对电子系统的正常工作造成严重的干扰，甚至造成系统的损伤。利用时域有限差分法建立了静电放电火花产生的电磁场的数值模型，模型中充分考虑了放电电极上的静电荷对电场的影响。把由此模型放电计算的电磁场值与由此解析方法得到的场值进行了比较，结果吻合良好。由此可以用此模型来研究静电放电火花产生的电磁场与电子系统的能量耦合问题。     

Propagation of electromagnetic dipole waves through dielectric interfaces

The problem of divergent electromagnetic dipole waves propagating through parallel dielectric interfaces is solved. The solution is obtained in an analytic form that can be readily evaluated numerically. The result is obtained as a solution to a boundary-value problem. Applications of the solution are described.     

建筑墙体对电磁脉冲响应的FDTD分析

采用时域有限差分法和傅里叶变换对电磁脉冲作用于建筑墙体后发生的反射和透射进行了比较全面的研究分析。采用周期边界实现了不同建筑墙体对电磁脉冲响应的数值计算,对计算的结果进行了讨论分析,研究结果表明：钢筋阵对低频段的屏蔽效果很好,当频率增加时,屏蔽效果变差。混凝土墙的频域波形具有明显的周期性,存在许多谐振频率,谐振时透过很大,谐振频率由墙的厚度、磁导率和介电常数决定,要提高墙的屏蔽效果必须增加墙的电导率,以达到一个比较好的屏蔽效果。钢筋混凝土墙的屏蔽效果和反射特性由钢筋和混凝土墙共同调制决定。