Efficient Method to Reduce the Numerical Dispersion in the Alternating Direction Implicit Finite-Difference Time-Domain Algorithm

赵安兴 1; 2; 黄斌科 1; 蒋延生 1; 汪文秉 1

您当前的位置：

首页 >

文章列表页 >

Efficient Method to Reduce the Numerical Dispersion in the Alternating Direction Implicit Finite-Difference Time-Domain Algorithm

更新时间：2025-12-08

- Efficient Method to Reduce the Numerical Dispersion in the Alternating Direction Implicit Finite-Difference Time-Domain Algorithm
- Vol. 42, Issue 2, Pages: 209-212+247(2008)
- 作者机构：
  
  1. 西安交通大学电子与信息工程学院,西安,710049
  2. 山东建筑大学信息与电气工程学院,济南,250101
- 作者简介：
- 基金信息：
- DOI：
  CLC： TM15
- Online First：10 February 2008，
  
  Published：2008
- 稿件说明：
移动端阅览
赵安兴 1, 2, 黄斌科 1, et al. Efficient Method to Reduce the Numerical Dispersion in the Alternating Direction Implicit Finite-Difference Time-Domain Algorithm[J]. 2008, 42(2): 209-212+247.
DOI：

赵安兴 1, 2, 黄斌科 1, et al. Efficient Method to Reduce the Numerical Dispersion in the Alternating Direction Implicit Finite-Difference Time-Domain Algorithm[J]. 2008, 42(2): 209-212+247. DOI：

摘要

针对交替方向隐式时域有限差分方法(ADI-FDTD)数值色散严重的缺点

提出了一种低数值色散的各向同性ADI-FDTD方法.该方法在ADI-FDTD方法的差分近似微分中引入各向同性差分模板

并通过确定各向同性差分的加权系数来近似实现各向同性

然后人为修正空间的介质参数来减少各个方向上的数值色散误差

因此在模拟一定带宽的时域问题时可有效提高计算精度和计算效率.仿真结果表明

该方法在单频上可近似实现无数值色散误差

在所优化的频带附近其数值色散误差是ADI-FDTD方法的1%.

Abstract

To reduce the large numerical dispersion error for the alternating direction implicit finite-difference time-domain method(ADI-FDTD)

an isotropic ADI-FDTD method with low numerical dispersion error was presented. Firstly

the isotropic difference templates were introduced to approximate the differential in the ADI-FDTD method

and the weighting coefficients of difference terms were determined for implementing isotropic numerical dispersion; Then the permittivity and permeability were adjusted manually to reduce the numerical dispersion error in any directions. Therefore the simulation accuracy and efficiency can be improved effectively for time domain problems with some finite bandwidths. Simulation results show that the proposed method is nearly free from dispersion for a monochromatic frequency

and the numerical dispersion error is decreased approximately by 1% compared with the ADI-FDTD method in the optimizing frequency band.

关键词

Keywords

references

NAMIKI T. A new FDTD algorithm based on alternating-direction implicit method [J]. IEEE Transactions on Microwave Theory and Techniques, 1999, 47(10): 2003-2007.

YANG B, BALANIS C A. Least square method to optimize the coefficients of complex finite-difference space stencils [J]. IEEE Antennas and Wireless Propagation Letters, 2006, 5(1): 450-453.

KOH I S, KIM H, LEE J M, et al. Novel explicit 2-D FDTD scheme with isotropic dispersion and enhanced stability [J]. IEEE Transactions on Antennas and Propagation, 2006, 54(11): 3505-3510.

NEUMANN J V. Mathematical foundations of quantum mechanics [M]. Princeton, USA: Princeton University Press,1955.

SUN G, TRUEMAN C W. Analysis and numerical experiments on the numerical dispersion of two-dimensional ADI-FDTD [J]. IEEE Antennas and Wireless Propagation Letters, 2003, 2(1): 78-81.

SUZUKI K, KASHIWA T, HOSOYA Y. Reducing the numerical dispersion in the FDTD analysis by modifying anisotropically the speed of light [J]. Electronics and Communication in Japan: Part 2, 2000, 85(1): 389-396.

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

A Structure-Semantics-Residual Collaborative Image Compression Framework：Towards Privacy Protection and High-Fidelity Reconstruction

Numerical Simulation of the Energy Conversion Process in Thermoacoustic Engines with Different Stack Materials

I/O Performance Modeling and Prediction Method for Large-Scale Parallel Applications Using Machine Learning

Numerical Simulation of Heat-Moisture Barrier Performance of a Horizontal Air Curtain in Cold Storage

Sensitivity Analysis of Foil Geometrical Parameters for the Third-Generation CO2 Gas Foil Bearings Based on Design of Experiments Method

Related Author

No data

Related Institution

No data

⁰