保角变换FDTD算法的数值稳定性与数值色散

本文提出了新的保角变换FDTD算法,推导了保角变换FDTD算法的时间稳定性和数值色散方程。此外,本文以圆波导为例计算了不同网格下TE模数值波长的相对误差,分析了不同传播常数和对极点不同半径的半圆电壁近似下数值波长的相对误差。通过适当地选择网格数,可得到高精度。     

电磁场与微波技术

()盆4 1 01040720保角变换FDTD算法的数值稳定性与数值色散/周晓军,喻志远,林为千(电子科技大学)“电子科学学刊.一2 000,22(一全)一618一625文中提出了新的保角变换FDTD算法,推导了保角变换F DTD算法的时间稳定性和数值色散方程.此外,文中以圆波导为例计算了不同网格下TE模数值波长的相对误差,分析了不同传播常数和对极点不同半径的半圆电壁近似下数值波长的相对误差通过适当地选择网格数,可得到高精度.图3参6(李)值作计算(通常对每一采徉时间选用12个S值)因而是一种计算速度较决的算法.但是,要对大量采徉时间作计算,其计算量仍太大.…     

保角变换FDTD算法的数值稳定性与数值色散

本文提出了新的保角变换ＦＤＴＤ算法，推导了保角变换ＦＤＴＤ算法的时间稳定性和数值色散方程。此外，本文以圆波导为例了不同网格下ＴＥ模数值波长的相对误差。分析了不同传播常数和对极点不同半径的半圆电壁近似下数值波长的相对误差，通过适当地选择网格数，可得到高精度。     

基于Hybrid迭代法的多连通域数值保角变换计算法

针对模拟电荷法无界多连通区域的数值保角变换问题,文中提出了一种高精度的数值方法,即基于Hybrid迭代法的无界多连通区域的数值保角变换计算法.该方法通过模拟电荷法构造约束方程,对约束方程应用预处理构造对称正定的方程,获得新的模拟电荷和辐角,并构造近似保角变换函数.文中以多连通圆变换为径向狭缝域为例进行数值实验.使用解析...     

采用保角变换求解一类TEM模传输线的衰减常数

本文提出采用保角变换法求解一类TEM模传输线的衰减常数。通过适当的保角变换能够映射成(包括数值保角变换)正规圆同轴线或平板电容的情况均可采用这种方法。文中给出了解析结果和数值实例。     

碰撞等离子体的高阶FDTD算法

给出了电磁波在均匀、碰撞等离子体中传播的四阶时间和四阶空间FDTD算法.该算法比Yee氏FDTD算法每一个网格每一维增加一个存储单元,与常规的二阶等离子体FDTD算法相同.由于采用四阶时间和四阶空间近似,因此该算法能有效地减小数字色散误差,其频带宽度比二阶算法的频带宽度更宽.为了验证该高阶算法的正确性,对均匀、碰撞等离子体平板的电磁波反射系数进行了计算,并与解析结果、二阶FDTD计算结果进行了比较,证明了该算法的高效和精确.     

DDM-CM理论及其在VLSI中的应用

阐述了保角变换理论的最新研究成果DDM-CM理论及其在VLSI中的应用。其最大的优点就是给出的结果比较简单、精确,并且在整个的计算过程中不需要求解保角变换函数,只要求得导体几何的保角模即可。     

一种具有弱条件稳定的分裂式FDTD方法

近十几年来,时域有限差分算法(FDTD)得到了快速发展,然而该算法一直受稳定性条件(CFL)的限制.为突破这一限制一种具有弱条件稳定(WCS)的FDTD算法得到发展,提高了FDTD的计算效率,但陔方法存在精度不高的缺点.文中针对弱条件稳定FDTD方法精度不高这一弱点,提出了一种新的算法,该算法具有弱条件稳定性,且计算速度比ADI-FDTD方法有显著提高,并通过数值实验验证了该方法的准确性和有效性.     

新型椭圆函数波导族的保角变换有限差分解法

保角变换一直是求解边值问题的重要方法,但以往在电磁场领域的应用多限于求解静态和准静态问题。利用保角变换及椭圆函数的理论和方法结合数值技术求解导波问题中的二维Ｈｅｌｍｈｏｌｔｚ方程。     

基于光学保角变换的电磁器件设计

保角变换是基于解析函数的一种非常重要的解析方法,利用保角变换可以将虚拟空间中复杂的边界曲线转化为物理空间中简单的边界曲线,从而求解二维平面场问题。文章主要综述并介绍保角变换在几何光学中的应用,通过控制光线传播来设计完美隐身衣、中继透镜、波导弯角和透镜天线等新型电磁器件。最后利用射线追踪仿真和全波仿真对设计加以证明。     

Finite difference time domain analysis of cylindrical coplanar waveguide circuits

There is a growing interest in using cylindrical transmission line structures in microwave applications. In this paper, the finite difference time domain (FDTD) method is used to characterize several three-dimensional cylindrical coplanar waveguide (CCPW) geometries. Specifically, a CCPW series stub and a three-section CCPW filter are studied both theoretically and experimentally. Moreover, CCPW gap is characterized and the FDTD results are compared to those obtained using conformal mapping techniques. Effective absorbing boundary conditions are employed to truncate the FDTD mesh at the end walls and the outer radial boundary.     

A Locally Conformal Algorithm for Handling Curved Metallic Surfaces and Its Application

This paper describes a modified locally conformal algorithm for finite-difference time-domain (FDTD) method. Fields in the entire computational domain are computed by a regular FDTD algorithm except those near curved metallic surfaces, where special techniques proposed in this paper are applied. The computation efficiency of a regular FDTD method is maintained while a high space-resolution is obtained by this new algorithm. To validate the reliability of the algorithm, coaxial continuous transverse stub arrays at millimeter wave Ka-band and microwave X-band are tested, and the simulated results show good agreement with the experimental results from an HP-8510B Network Analyzer and the simulation results from software package HFSS.     

计算复杂形状波导截止频率的高效方法

提出一种使用保角变换结合矩量法,计算复杂形状波导截止频率的新方法,该方法采用解析法或数值法,把复杂截面的波导变换为圆形区域,再采用矩量法求解波导的截止频率。实验结果验证了该方法的有效性。     

A modified FDTD (2, 4) scheme for modeling electrically largestructures with high-phase accuracy

A new fourth-order finite-difference time-domain (FDTD) scheme has been developed that exhibits extremely low-phase errors at low-grid resolutions compared to the conventional FDTD scheme. Moreover, this new scheme is capable of combining with the standard Yee (1966) scheme to produce a stable hybrid algorithm. The problem of wave propagation through a building is simulated using this new hybrid algorithm to demonstrate the large savings in computing resources it could afford. With this new development, the FDTD method can now be used to successfully model structures that are thousands of wavelengths large, using the present day computer technology     

Analyzing Semicircular Groove Guide with the Conformal Mapping Technique

Semicircular groove guide is a kind of waveguide for millimeter waves. In this paper, a conformal mapping technique is used to analyze it. Several semicircular groove guides are calculated with the method. It is shown that their cutoff wavelength calculated by the method are very close to those calculated by the transverse resonance method.     

Mastering Conformal Meshing for Complex CAD-Based C-FDTD Simulations

A robust and automatic discretization algorithm for complex conformal finite-difference time-domain (C-FDTD) simulation is presented in this publication. The targeted application range is to enable C-FDTD simulations for real-word engineering problems. Based on computer-graphics methods, complex CAD models with thousands of distinct parts can be efficiently and robustly discretized. A versatile concept is introduced to avoid numerical inaccuracies while calculating intersections, and to lead to a symmetric discretization without the overhead of "virtual lines." In addition, a necessary three-dimensional consistency check/correction, as well as merging of conformal cells of different CAD parts, are explained. The conformal geometric information is incorporated into the conventional FDTD algorithm using the conventional updating coefficients, which are conformally enhanced. Due to the derived stability criterion, the conformal updating scheme is always stable. The robustness and performance of the discretization algorithm presented is demonstrated with CAD models of increasing complexity towards real-world benchmarks. A conformal FDTD simulation with 80 million computational cells and 229 distinguished parts, representing a complete mobile phone and a head with hand, demonstrates the capabilities of the versatile technique.     

Full-wave analysis and wide-band design of probe-fed multilayered cylindrical-rectangular microstrip antennas

The input impedance and radiation pattern of the probe-fed multilayered cylindrical-rectangular microstrip antennas (PMCMSA) are analyzed by using a novel approach which combines the conformal finite-difference time-domain (FDTD) and Gedney's unsplit version of the perfectly matched layer absorbing boundary condition method and the Green's functions in cylindrically stratified media. The near fields of such antennas and the current distributions on the patches are obtained by the conformal FDTD method numerically and then the modified spectral-domain Green's functions in arbitrary cylindrically stratified media are used to determine the radiation pattern. The effect of the small radius of the probe on the performance of antennas is investigated through the thin-wire algorithm in cylindrical coordinates. A simple design scheme of the probe-fed cylindrically stacked antennas is also proposed for increasing the impedance bandwidth.     

On the solution of a class of large body problems with full orpartial circular symmetry by using the finite-difference time-domain(FDTD) method

This paper presents an efficient method to accurately solve large body scattering problems with partial circular symmetry. The method effectively reduces the computational domain from three to two dimensions by using the reciprocity theorem. It does so by dividing the problem into two parts: a larger 3-D region with circular symmetry, and a smaller 2-D region without circular symmetry. An finite-difference time-domain (FDTD) algorithm is used to analyze the circularly symmetric 3-D case, while a method of moments (MoM) code is employed for the nonsymmetric part of the structure. The results of these simulations are combined via the reciprocity theorem to yield the radiation pattern of the composite system. The advantage of this method is that it achieves significant savings in computer storage and run time in performing an equivalent 2-D as opposed to a full 3-D FDTD simulation. In addition to enhancing computational efficiency, the FDTD algorithm used in this paper also features one improvement over conventional FDTD methods: a conformal approach for improved accuracy in modeling curved dielectric and conductive surfaces. The accuracy of the method is validated via a comparison of simulated and measured results     

Cylindrical-Cartesian FDTD model of a 17-element conformal antennaarray

A novel hybrid cylindrical-Cartesian finite difference time domain (FDTD) method is presented, which permits a dramatic increase in the flexibility of the basic FDTD algorithm. It is shown to be particularly well-suited to the analysis of faceted conformal antenna arrays and its accuracy is demonstrated by comparison with experimental measurements of couplings within a 17-element array