二维半空间时域有限差分瞬态场外推方法

doi:10.3969/j.issn.1001-2400.2014.02.029

J4 ›› 2014, Vol. 41 ›› Issue (2): 178-184.doi: 10.3969/j.issn.1001-2400.2014.02.029

二维半空间时域有限差分瞬态场外推方法

姜彦南¹;葛德彪²;杨利霞³;于新华¹

(1. 桂林电子科技大学广西信息科学实验中心，广西桂林 541004;
2. 西安电子科技大学物理与光电工程学院，陕西西安 710071;
3. 江苏大学计算机科学与通信工程学院，江苏镇江 212013)

收稿日期:2013-05-20 出版日期:2014-04-20 发布日期:2014-05-30
通讯作者: 姜彦南
作者简介:姜彦南(1980-)，男，副教授，博士，E-mail: ynjiang@guet.edu.cn．
基金资助:
国家自然科学基金资助项目(61001020, 61072002, 61161002)；广西自然科学基金资助项目(2010GXNSFB013049)；广西信息科学实验中心资助项目(20130306)

Extrapolation to the transient field for FDTD in two-dimensional half-space

JIANG Yannan¹;GE Debiao²;YANG Lixia³;YU Xinhua¹

(1. Guangxi Experiment Center of Information Science, Guilin Univ.y of Electronic Technology, Guilin 541004, China;
2. School of Physics and Optoelectronic Engineering, Xidian Univ., Xi'an 710071， China;
3. School of Computer Science and Communication Engineering, Jiangsu Univ., Zhenjiang 212013, China)

Received:2013-05-20 Online:2014-04-20 Published:2014-05-30
Contact: JIANG Yannan

摘要/Abstract

摘要：

提出用于二维半空间时域有限差分的瞬态场外推计算方法．该方法把上半空间远区场分作3部分：第1部分是上半空间外推边界上电磁流辐射场沿直达波路径的贡献；第2部分是该电磁流辐射场沿反射波路径的贡献；第3部分是下半空间外推边界上电磁流辐射场沿透射波路径的贡献．关于后两部分的计算要点是: 用斯奈尔定律确定外推边界上电磁流辐射场的反射点和透射点，并把它们投影至沿观察点方向的时间盒子中；计算电磁波从等效源至反射点或透射点所需的时间，以此确定真正的投影时间盒子；用相应极化波的反射或透射系数作为沿反射或透射路径对远场贡献的比例系数；最后用两个模型验证二维半空间瞬态场外推算法．计算结果与已报道成果具有很好的一致性．

关键词: 时域有限差分方法, 半空间, 瞬态, 外推

Abstract:

An algorithm for extrapolating the transient field in two-dimensional half-space for the finite-difference time-domain(FDTD) method is firstly presented. In this algorithm, the far-zone scattered field consists of three parts. The first two parts of the field are generated by the equivalent electromagnetic currents at the extrapolation bound in upper space, propagating along the paths of directed and reflected waves, respectively. And the third part is resulted by that currents at that bound in lower space, its propagation following the path of the transmitted wave. To caculate the latter two parts, the reflection and transmission points should be determined with the knowledge of Snell's law and then projected on to the observation time bins, moreover the proper time of the wave propagating from the equivalent source to those points should also be worked out and used to delay those bins, with the reflection or transmission coefficients used as the contribution factor to the far field. Then the proposed algorithm is validated by the applying far-zone scattered fields to two examples.

Key words: FDTD method, half-space, transient, extrapolation

中图分类号:

中图分类号：TN011

姜彦南;葛德彪;杨利霞;于新华. 二维半空间时域有限差分瞬态场外推方法[J]. J4, 2014, 41(2): 178-184.

JIANG Yannan;GE Debiao;YANG Lixia;YU Xinhua. Extrapolation to the transient field for FDTD in two-dimensional half-space[J]. J4, 2014, 41(2): 178-184.

参考文献

［1］ Yee K S. Numerical Solution of Initial Boundary Value Problems Involving Maxwell Equations in Isotropic Media［J］. IEEE Transactions on Antennas and Propagation, 1966, 14(3): 302-307.
［2］王飞, 葛德彪, 魏兵. 二维磁等离子体目标FDTD分析的移位算子方法［J］. 西安电子科技大学学报, 2011, 38(1): 85-89.
Wang Fei, Ge Debiao, Wei Bing. Shift Operatormethod Applied for the 2-dimensional Conducting Target Coated with Magnetized Pplasma in FDTD Analyses［J］. Journal of Xidian University, 2011, 38(1): 85-89.
［3］张红霞, 邹艳林, 苏东林. 一种电大尺寸深腔散射的有效计算方法［J］. 西安电子科技大学学报, 2012, 39(1): 146-150.
Zhang Hongxia, Zou Yanlin, Su Donglin. Effective Method for RCS Computation of Large and Deep Cavities［J］. Journal of Xidian University, 2012, 39(1): 146-150.
［4］满明远, 雷振亚, 谢拥军, 等. 电大目标散射问题的预修正多层快速多极子分析［J］. 西安电子科技大学学报, 2012, 39(2): 133-137.
Man Mingyuan, Lei Zhenya, Xie Yongjun, et al. Analysis of the Electrical Large Scattering Problem Using the Pre-corrected Multilevel Fast Multipole Algorithm［J］. Journal of Xidian University, 2012, 39(2): 133-137.
［5］ Luebbers R, Ryan D, Beggs J. A Two-dimensional Time-domain Near-zone to Far-zone Transformation［J］. IEEE Transactions on Antennas and Propagation, 1992, 40(7): 848-851.
［6］葛德彪, 闫玉波. 电磁波时域有限差分方法［M］. 3版. 西安: 西安电子科技大学出版社, 2011: 110-111, 151-156.
［7］ Yee K S, Ingham D, Shlager K. Time-domain Extrapolation to the Far Field Based on FDTD Calculations［J］. IEEE Transactions on Antennas and Propagation, 1991, 39(3): 410-413.
［8］ Xu X B, Butler C M. Scattering of TM Excitation by Coupled and Partially Buried Cylinders at the Interface between Two Media［J］. IEEE Transactions on Antennas and Propagation, 1987, 35(5): 529-538.
［9］ Butler C M, Xu X B. TE Scattering by Partially Buried and Coupled Cylinders at the Interface between Two Media［J］. IEEE Transactions on Antennas and Propagation, 1990, 38(11): 1829-1834.
［10］ Borghi R, Gori F, Santarsiero M. Plane-wave Scattering by a Perfectly Conducting Circular Cylinder Near a Plane Surface: Cylindrical-wave Approach［J］. Journal of the Optical Society of America, 1996, 13(3): 483-493.
［11］ Wong P B, Tyler G L, Baron J E, et al. A Three-wave FDTD Approach to Surface Scattering with Applications to Remote Sensing of Geophysical Surfaces［J］. IEEE Transactions on Antennas and Propagation, 1996, 44(4): 504-514.
［12］葛德彪, 魏兵. 互易定理计算分层半空间上方任意取向偶极子的远区场［J］. 物理学报, 2012, 61(5): 29-35.
Ge Debiao, Wei Bing. Calculating Far Field of an Arbitrarily Oriented Electric Dipole Located Above Layered Half Space Using Reciprocity Theorem［J］. Acta Physica Sinica, 2012, 61(5): 29-35.
［13］ Capoglu I R, Taflove A, Backman V. A Frequency-Domain Near-Field-to-Far-Field Transform for Planar Layered Media［J］. IEEE Transactions on Antennas and Propagation, 2012, 60(4): 1878-1885.
［14］姜彦南, 杨利霞, 于新华. 基于半空间FDTD的近远场外推方法: TE情形［J］. 计算物理, 2013, 30(4): 554-558.
Jiang Yannan, Yang Lixia, Yu Xinhua. Near-to Far-zone Transformation in Half-space by FDTD: TE Case［J］. Chinese Journal of Computational Physics, 2013, 30(4): 554-558.
［15］ Wei B, He Q, Li J, et al. Transient Response of Thin Wire above a Layered Half-Space Using TDIE/FDTD Hybrid Method［J］. International Journal of Antennas and Propagation, 2012, 2012: 321452.
［16］ Harrington R F. Time-Harmonic Electromagnetic Fields［M］. New York: IEEE Press, 2001: 54-60.

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二维半空间时域有限差分瞬态场外推方法

Extrapolation to the transient field for FDTD in two-dimensional half-space

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