时域电场积分方程在求解架空屏蔽电缆蒙皮电流中的应用

 时域电场积分方程是研究电磁辐射及散射等问题的重要方程。在数值计算中,该方程方法只需将散射体进行剖分,而不必将剖分推至整个计算域内进行,计算效率较高。将时域电场积分方程方法引入到电磁脉冲作用下架高屏蔽电缆蒙皮电流的计算中,研究了电缆的蒙皮感应电流分布及波形特征。通过与辐射波电磁脉冲模拟器的实验结果的比对,证明了数值结果的可靠性。     

第二类弱奇异积分方程的高精度Nystrom方法与外推

借助奇异函数的新型求积公式，建立了解第二类弱奇异积分方程的高精度Ｎｙｓｔｒｏｍ算法及渐近展开式。数值试验表明本文的算法较常用的投影法计算量大大减少，崦精度却很高，其外推法打丰了Ｆ．Ｃｈａｔｅｌｉｎ认为非光滑核积分方程的 解外推缺少理论依据的断定。     

第二类边界积分方程Nystrom解的高精度组合方法

第二类边界积分方程常用配置法或Ｇａｌｅｒｋｉｎ法计算，主要困难有：计算积分耗去大量机时；离散方程是满阵且不对称，计算量随剖分精细而急剧增加。本文提出Ｎｙｓｔｒｏｍ近似解的高精度组合法能有效克服上述困难。组合方法是并行地解ｍ个具有ｎ个不同结点的方程组，对得到的ｍ个内点值取算术平均就得到了组合近似，本文证明组合近似精度几乎与解ｍｎ个结点近似方程达到精度同阶，数值结果表明本文方法简单、有效、并且算法高度     

关于干涉反演光谱技术能否扩大F-P干涉仪光谱范围的探讨

本文从物理学的角度提出了Fredholm第一类积分方程数值解的可靠性概念,证明了在被称为Fabry-Perot干涉反演光谱技术中,当△σ=2/x,△σ=2/σ时,若取样点数为一个适当的奇数,那么积分方程的数值解是稳定的.但是进一步的计算机模拟实验表明,该数值解不是原积分方程的可靠解,因此,干涉反演光谱技术不能扩大Fabry-Perot干涉仪的光谱范围.理论分析表明,在前述条件下,积分方程数值解不可靠的根本原因在于该积分方程本身没有唯一解.     

PO-TDIE混合方法在天线电磁兼容问题中的应用

应用物理光学-时域积分方程(PO-TDIE)混合方法对电大尺寸平台天线电磁兼容问题进行分析.详细推导PO-TDIE混合方法的一般表达式,并给出计算复杂度.数值算例表明,方法提高了传统时间递推方法(MOT)的计算效率,能够有效应用于电磁兼容分析中.     

环形等离子体平衡时维持场电流的计算

本文介绍一个计算轴对称任意截面环形等离子体平衡问题的方法。先选定等离子体边界和环电流分布,用有限元方法解平衡方程的边值问题。借助于虚壳原理,得到用平衡方程解表示的能够产生平衡时所需要的维持场的虚壳电流。计算虚壳电流在等离子体区的维持场,以它为根据,采用积分方程开拓,求等离子体区外某位形上的维持场电流分布。解决这个问题的主要困难是当磁场向外开拓时遇到了不适定问题。我们用奇异值分解方法解不适定的Fredholm第一类积分方程。这个方法能容易地找到稳定解,对解决这个平衡问题是简单有效的。我们以七种等离子体截面形状,三种电流分布为具体模型,在三种维持场电流分布位形上给出了维持场电流分布。还给出了维持场形态,维持场总电流与等离子体总电流的比较,并简单讨论了维持场对等离子体整体稳定性的影响。 关键词：     

Fourier拟谱配点方法对第一类边界积分方程的应用

本文用Fourier拟谱配点方法求解有广泛应用的以对数核为主部的第一类边界积分方程,文中通过对积分算子的象征作拟谱插值来建立近似方程,利用快速Fourier变换将计算切换到频率空间进行。本文计算结果表明,用上述拟谱配点方法计算的数值精度较Galerkin配点法更为满意。     

连续谱Faddeev积分方程的新解法

在动量空间中具有定域势的Faddeev方程是二维积分方程,在破裂过程和三体散射一类的连续谱情况下,方程的积分核是奇异的。本文根据奇异积分方程一般理论提出一种求解二维方程的数值方法。实践证明数值解是收敛的,全运动学微分截面的计算值与实验数据十分符合。     

在二维叶栅势流计算中边界元法的应用

一、前言 边界元法是近年来兴起的一种新的基于边界积分方程的数值计算方法.Brebbia将其归之为加权剩余法的一个分支,但该法比有限元和有限差分法更具有解析——数值计算特点.有别于区域计算法,边界元法通过引入一个满足场方程的奇异函数作为权函数,将问题的区域计算转化为边界计算.由于所获得的一组边界积分方程仅联系边界上各个     

亥姆霍兹线圈磁场均匀范围的研究

推导了双环电流磁感应强度在直角坐标系中的解析式,将公式无量纲化,通过第一类和第二类完全椭圆积分计算场强的两个分量,从而计算合场强,画出亥姆霍兹线圈内外磁感应强度合场强曲面和三维均匀区域,发现磁场的均匀区域是"八爪"形状,并与双环电流不同距离的场强和均匀范围进行了比较.     

Change of radiation pattern in a plasma monopole antenna

Abstract

In the present work, we have numerically solved the dispersion equation of the surface wave propagating on a uniform collisional plasma column. The electric field and surface current distributions have been computed in different situations. We have investigated the effect of plasma frequency variation on the spatial distribution of the surface current. Results show that varying the electron density of the plasma column enables the plasma column to work as a plasma monopole antenna with a fixed geometrical structure and excited frequency which is able to create different radiation patterns. Our numerical analysis also shows that a little change in the radius of the plasma column has a strong influence on the current distribution at the excited frequency in RF region. This effect can be ignored in the usual (metallic) antenna while it is very important in designing of the plasma monopole antenna.     

Lower RCS directional antenna by left-handed material

We theoretically study the radiation of a current line source with a surrounding cylindrical shell of left-handed material (LHM). The far-field radiation pattern is obtained by solving the Maxwell equation in a cylindrical coordinate, which show that this radiation system has good directional emission characteristics and can be used as a directive antenna. The directive emission is explained due to the negative refraction and the focus effect occurring at the interface of the LHM shell. Compared with the parabolic reflector antenna with the same aperture size, our antenna has lower radar cross-section (RCS) in a broadband frequency range, providing a way to realize lower RCS antenna.     

Current in open quantum systems

We show that a dissipative current component is present in the dynamics generated by a Liouville-master equation, in addition to the usual component associated with Hamiltonian evolution. The dissipative component originates from coarse graining in time, implicit in a master equation, and needs to be included to preserve current continuity. We derive an explicit expression for the dissipative current in the context of the Markov approximation. Finally, we illustrate our approach with a simple numerical example, in which a quantum particle is coupled to a harmonic phonon bath and dissipation is described by the Pauli master equation.     

基于纳观域碳纳米管的太赫兹波天线研究

基于碳纳米管独特的结构特点建立了以其为基础的Pocklington积分方程,并设计了一种全新的碳纳米管太赫兹(THz)波天线.数值仿真和理论计算结果表明,碳纳米管能够产生高频THz电磁辐射,半波长为60μm、半径为2.712nm的单壁碳纳米管偶极天线在-10dB反射系数以下可以实现2.5THz与7.6THz的双频带工作,带宽分别为8.4%与2.7%,由其构成的纳米管天线阵可以获得10.3dB的高增益特性.所得结果有助于在纳观域开展高频THz波辐射源及天线的研究与设计. 关键词： 太赫兹波 碳纳米管 天线 辐射源     

A new calculation method for a thin electric dipole

We consider a new approach to the analysis of a thin electric dipole. The approach, which is unconventional in antenna theory, is based directly on the Maxwell equations written in the cylindrical coordinate system. This allows one to reduce the problem to an integral equation instead of an integro-differential equation. Another feature of our treatment is the use of the theory of singular integral equations (SIEs) developed previously for SHF and EHF slotted-strip structures. The problem is reduced to solving the SIE for the derivative of the surface-current density on the dipole with respect to the longitudinal coordinate. The results of numerical analysis demonstrate fast convergence of the method and simplicity of calculations. Volga State Academy of Telecommunications and Information Sciences, Samara, Russia. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 43, No. 4, pp. 335–344, September, 2000     

Properties of Carbon Nanotube Optical Antennae

The properties of carbon nanotube as optical antennae have been studied. The equation of current distribution on a single antenna has been obtained by using conventional transmission line theories. The re-radiation lobe pattern of a single antenna and an antenna arrays have been gained by computer simulation.     

天线方向系数的一类计算逼近方法

天线的方向系数是天线的核心性能指标之一,准确计算方向系数是高性能天线应用的核心要求.本文基于平面近场测试理论、实测数据和快速傅里叶变换算法,系统阐述基于近场测试来数值计算天线方向系数的原理,并进行深入的误差分析.本文选择一种方向图函数和方向系数已知的被测天线,来检验所讨论的误差评估方案.评估分两步实现,第一步,针对这一天线,采用标准的近场测试配置,仿真模拟出(相当于实际测量出)一套平面近场数据.第二步,基于这套近场数据,利用数值积分计算出天线方向系数.本文使用或提出了四种数值算法,分析了提出的后三种算法本身的误差来源,并开发出程序搜索方案,确定出后两种算法的最小误差界.随后,利用这四种数值算法分别得出天线的方向系数.结果表明,计算所得的近场方向系数都比真实方向系数大,但误差不超过0.6 d B.这一结果对实际应用中正确评估基于近场测试的天线方向系数准确性有重要参考价值.     

Level-set based topology optimization for electromagnetic dipole antenna design

This paper presents a level-set framework for a typical electromagnetic design problem of dipole antenna. In this study, the geometrical configuration of an antenna is represented by the zero-level contour of a higher-dimensional level-set function. The governing equation for the induced current flow on a metal surface is the Electric Field Integral Equation (EFIE), which takes into account the electric component of the incident wave. The design objective is formulated in terms of the surface current and incident electric field. The normal velocity of the level-set model, which reflects the sensitivity of the objective function, is derived from the adjoint variable method and shape derivative. By optimizing the objective function, the area with the highest current density, to which the voltage feeding should be applied, can be reshaped. The advantages of adopting the level-set technique for electromagnetic design lie in its capacity for capturing sophisticated topological changes and facilitation in mathematical representation of the design configuration. The demonstrative examples of dipole antenna design show that the level-set method results in a fairly smooth optimization process, where the vacuum/metal interface gradually attains its optimal configuration. A series of design cases with self-adjoint and non-self-adjoint sensitivity analyses are studied and compared to the benchmarking problems in dipole antenna.     

Current Distribution of a Cylindrical Antenna in a Warm Plasma

The current distribution of a center-fed dipole cylindrical antenna of arbitrary dimension immersed in unbounded lossless warm plasma is considered, taking into account the commonly neglected end-cap effect. The approximated solution of the integral equation for the current distribution is obtained with the aid of Fourier analysis, and the expression is derived for the current distribution I(z) as the function of position z along the cylindrical surface of the antenna. Sample calculations are made for a half-wavelength dipole antenna with different values of thickness parameter ?=(a/l)<0.25 and of the normalized plasma density parameter po=(?p/?)2 <1. Here a and l denote the radius and the half-length of the antenna, respectively. ?p and ? denote the plasma angular frequency and the radiation angular frequency. The variation of the amplitude and phase of the current with the position, and the variation of radiation resistance with po and ? are examined and discussed in detail.     

星载极化相关型全极化微波辐射计天线交叉极化校正技术(I): 天线温度方程推导

星载极化相关型全极化微波辐射计是一种新型空间被动微波遥感仪器, 为海面风场等海洋大气环境参数的遥感探测提供了重要技术途径. 天线交叉极化校正是其数据预处理算法的重要环节. 本文针对星载极化相关型全极化微波辐射计天线交叉极化校正需求, 以极化相干检测理论为基础, 结合Stokes参数的定义, 自主推导了其适用的全极化天线温度方程. 该方程针对四个Stokes参数天线温度, 引入了Stokes参数之间交叉极化的振幅和相位, 并考虑了极化旋转角对天线方向图计算的影响. 最后, 建立了天线扫描波束与地球场景的几何对应关系, 对天线温度方程中各参数的确定方法进行了探讨. 全极化天线温度方程的建立为进一步开展星载极化相关型全极化微波辐射计天线交叉极化校正奠定了基础. 关键词： 全极化微波辐射计 天线交叉极化 天线温度方程 相干检测