目标电磁散射的面中心立方体网格FDTD方法

doi:10.12305/j.issn.1001-506X.2021.10.03

系统工程与电子技术 ›› 2021, Vol. 43 ›› Issue (10): 2718-2724.doi: 10.12305/j.issn.1001-506X.2021.10.03

• 电磁散射与逆散射研究新进展专栏 • 上一篇下一篇

目标电磁散射的面中心立方体网格FDTD方法

杨利霞^1,^2,*, 汪刘丰^1,², 陈伟^1,², 薄勇^1,²

1. 安徽大学电子信息工程学院, 安徽合肥 230601
2. 目标探测与特征提取安徽省重点实验室, 安徽六安 237000

收稿日期:2021-05-17 出版日期:2021-10-01 发布日期:2021-11-04
通讯作者: 杨利霞
作者简介:杨利霞(1975—), 男, 教授、博士研究生导师, 博士, 主要研究方向为电磁散射、计算电磁学和复杂色散介质中的电磁波传播|汪刘丰(1997—), 男, 硕士研究生, 主要研究方向为计算电磁学、复杂色散介质数值方法研究|陈伟(1987—), 男, 讲师, 博士, 主要研究方向为复杂目标电磁建模、新体制雷达等|薄勇(1989—), 男, 讲师, 博士, 主要研究方向为计算电磁学、等离子体与电磁波互作用
基金资助:
国家自然科学基金(62071003);国家自然科学基金(41874174);国家自然科学基金(61901004);电磁散射重点实验室基金(61424090107);安徽省自然科学基金(2008085MF186);安徽省重点科研平台协同创新项目(GXXT-2020-050);安徽省高校协同创新计划项目(GXXT-2021-028);国家国防科工局基础研究重点项目(稳定支持项目)

FDTD method of face-centered cube grid for electromagnetic scatteringcharacteristics of object

Lixia YANG^1,^2,*, Liufeng WANG^1,², Wei CHEN^1,², Yong BO^1,²

1. School of Electronic Information Engineering, Anhui University, Hefei 230601, China
2. Key Laboratory of Target Detection and Feature Extraction of Anhui Province, Lu'an 237000, China

Received:2021-05-17 Online:2021-10-01 Published:2021-11-04
Contact: Lixia YANG

摘要/Abstract

摘要：

基于面中心立方体(face-centered cube, FCC)网格的空间结构, 由麦克斯韦方程出发, 推导了基于FCC网格的单轴各向异性介质完全匹配层(uniaxial anisotropic media perfectly matched layer, UPML)吸收边界条件以及近-远场外推边界条件的三维迭代式。通过典型算例, 先后验证了基于面中心立方体网格的时域有限差分(FCC-finite difference time domain, FCC-FDTD)方法的UPML吸收边界条件和近远场外推边界条件的正确性。最后通过计算金属球的后向雷达散射截面(radar cross section, RCS)比较了FCC-FDTD方法与传统FDTD方法的计算精度, 结果显示FCC-FDTD方法具有更高的计算精度。

关键词: 面中心立方体网格, 时域有限差分方法, 各向异性介质完全匹配层, 近远场外推, 雷达散射截面

Abstract:

Based on the spatial structure of the face-centered cube (FCC), starting from Maxwell's equation, derived the 3-D iterative formulas for the absorption boundary conditions of the uniaxial anisotropic media perfectly matched layer (UPML) and near-to-far field extrapolation boundary conditions based on the FCC grid. Through typical calculation examples, the correctness of UPML absorption boundary conditions and near-to-far field extrapolation boundary conditions based on finite difference time domain method of FCC (FCC-FDTD) are successively verified. Finally, the calculation accuracy of the FCC-FDTD method and the traditional FDTD method is compared by calculating the backward radar cross section (RCS) of the metal ball. The results show that the FCC-FDTD method has higher calculation accuracy.

Key words: face-centered cube grid (FCC), finite-difference time-domain method, uniaxial perfectly matched layer (UPML), near-to-far field extrapolation, radar cross section (RCS)

中图分类号:

O441

杨利霞, 汪刘丰, 陈伟, 薄勇. 目标电磁散射的面中心立方体网格FDTD方法[J]. 系统工程与电子技术, 2021, 43(10): 2718-2724.

Lixia YANG, Liufeng WANG, Wei CHEN, Yong BO. FDTD method of face-centered cube grid for electromagnetic scatteringcharacteristics of object[J]. Systems Engineering and Electronics, 2021, 43(10): 2718-2724.

图/表 10

图1

图2

图3

图4

图5

图6

图7

图8

图9

图10

参考文献 31

1	YEE K S . Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media[J]. IEEE Trans.on Antennas Propagation, 1966, 14 (3): 302- 307. doi: 10.1109/TAP.1966.1138693
2	OSWALD N, MONISMITH D R. Radar cross sections of objects with simulated defects using the parallel FDTD method[C]//Proc. of the IEEE Symposium on Electromagnetic Compatibility, Signal Integrity and Power Integrity, 2018.
3	SHIBAYAMA J, YAMAUCHI J, NAKANO H. Frequency-dependent FDTD analyses of terahertz plasmonic devices[C]//Proc. of the International Symposium on Antennas and Propagation, 2021: 457-458.
4	YAO H M, JIANG L J. Machine learning based neural network solving methods for the FDTD method[C]//Proc. of the IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting, 2018: 2321-2322.
5	HE X B, WEI B, FAN K H. A hybrid FDTD algorithm without the limitation of cfl condition[C]//Proc. of the IEEE International Conference on Computational Electromagnetics, 2019.
6	LUEBBERS R, PENNEY C. Scattering from apertures in ground planes using FDTD[C]//Proc. of the IEEE Antennas and Propagation Society International Symposium, 1993: 822-825.
7	CANGELLARIS A C . Numerical stability and numerical dispersion of a compact 2-D/FDTD method used for the dispersion analysis of waveguides[J]. IEEE Microwave and Guided Wave Letters, 1993, 3 (1): 3- 5. doi: 10.1109/75.180672
8	LUEBBERS R J, HUNSBERGER F P, KUNZ K S. FDTD formulation for frequency dependent permittivity[C]//Proc. of the Digest on Antennas and Propagation Society International Symposium, 1989: 50-53.
9	TIRKAS P A, BALANIS C A, RENAUT R A. Higher-order absorbing boundary conditions in FDTD method[C]//Proc. of the IEEE Antennas and Propagation Society International Symposium, 1998: 552-555.
10	POTTER M E , LAMOUREUX M . An FDTD scheme on a face-centered-cubic (FCC) grid for the solution of the wave equation[J]. Journal of Comput. Physics, 2011, 230 (15): 6169- 6183. doi: 10.1016/j.jcp.2011.04.027
11	ZHANG Z Y, YANG L X, KONG W. Resonant frequency simulation of metal cavity based FCC-FDTD method[C]//Proc. of the IEEE International Conference on Microwave and Millimeter Wave Technology, 2016: 804-805.
12	LIU K B, AHMAD M, SHI L J, et al. CPML implementation for FCC-FDTD method[C]//Proc. of the 12th International Symposium on Antennas, Propagation and EM Theory, 2018.
13	朱殊来. 电磁场中的FCC-FDTD算法[D]. 成都: 电子科技大学, 2020.
	ZHU S L. FCC-FDTD algorithm in electromagnetic field[D]. Chengdu: University of Electronic Science and Technology of China, 2020.
14	SACKS Z S , KINGSLAND D M , LEE R , et al. A perfectly matched anisotropic absorber for use as an absorbing boundary condition[J]. IEEE Trans.on Antennas & Propagation, 1995, 43 (12): 1460- 1463.
15	GEDNEY S D . An anisotropic perfectly matched layer-absorbing medium for the truncation of FDTD lattices[J]. IEEE Trans.on Antennas & Propagation, 1996, 44 (12): 1630- 1639.
16	DING P P , WANG G F , LIN H , et al. Unconditionally stable FDTD formulation with UPML-ABC[J]. IEEE Microwave and Wireless Components Letters, 2006, 16 (4): 161- 163. doi: 10.1109/LMWC.2006.872147
17	MEHENNAOUI N, MERZOUKI A. SLIMANI D. 2D-FDTD-UPML simulation of wave propagation on dispersive media[C]//Proc. of the 3rd International Conference on Control, Engineering & Information Technology, 2015.
18	FENG N X , WANG J G , ZHU J , et al. Switchable truncations between the 1st-and 2nd-order DZT-CFS-UPMLs for relevant FDTD problems[J]. IEEE Trans.on Antennas and Propagation, 2020, 68 (1): 360- 365. doi: 10.1109/TAP.2019.2930118
19	MAO Y F, ZHOU C M, ZHANG J. Implementation of UPML for weakly conditionally stable FDTD in periodic structures[C]//Proc. of the IEEE International Conference on Ultra-Wideband, 2010.
20	LUEBBERS R . Lossy dielectrics in FDTD[J]. IEEE Trans.on Antennas and Propagation, 1993, 41 (11): 1586- 1588. doi: 10.1109/8.267361
21	DING J C, ZHAO Z Q, YANG Y H. Novel unconditionally stable ADI-FDTD method with low numerical dispersion[C]//Proc. of the IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting, 2018: 1165-1166.
22	KIM H, KIM W, KOH I, et al. Dispersion and maximum time step of 2D ADI and CN ID-FDTD[C]//Proc. of the Workshop on Computational Electromagnetics in Time-Domain, 2007.
23	CHEN G Z, YANG S C, CUI S, et al. Numerical dispersion reduction scheme for arbitrary order FDTD method[C]//Proc. of the International Applied Computational Electromagnetics Society Symposium, 2019.
24	SU M, YI B, LIU P. Numerical dispersion analysis of an efficient unconditionally stable three-dimensional LOD-FDTD method[C]//Proc. of the IEEE International Conference on Signal Processing, Communication and Computing, 2013.
25	SUN M K , TAM W Y . Low numerical dispersion two-dimensional (2, 4) ADI-FDTD method[J]. IEEE Trans.on Antennas and Propagation, 2006, 54 (3): 1041- 1044. doi: 10.1109/TAP.2006.869940
26	张志扬. 基于面中心立方体(FCC)网格的FDTD算法的研究[D]. 镇江: 江苏大学, 2017.
	ZHANG Z Y. Research on FDTD algorithm based on face centered cube (FCC) grid[D]. Zhenjiang: Jiangsu University, 2017.
27	汪凯. 基于FCC-FDTD方法的NPML吸收边界条件和周期边界条件研究[D]. 镇江: 江苏大学, 2020.
	WANG K. Study on NPML absorption boundary conditions and periodic boundary conditions based on FCC-FDTD method[D]. Zhenjiang: Jiangsu University, 2020.
28	葛德彪, 闫玉波. 电磁波时域有限差分方法[M]. 西安: 西安电子科技大学出版社, 2011.
	GE D B , YAN Y B . Finite difference time domain method for electromagnetic wave[M]. Xi'an: Xidian University Press, 2011.
29	刘康兵. 基于面中心立方体(FCC)网格的电磁建模方法研究[D]. 镇江: 江苏大学, 2020.
	LIU K B. Research on electromagnetic modeling method based on face centered cube (FCC) grid[D]. Zhenjiang: Jiangsu University, 2020.
30	SHUM S M , LUK K M . An effective FDTD near-to-far field transformation for radiation pattern calculation[J]. Microwave and Optical Technology Letters, 1999, 20 (2): 129- 131. doi: 10.1002/(SICI)1098-2760(19990120)20:2<129::AID-MOP14>3.0.CO;2-C
31	LI Y, LI W, YUAN L. Research on RCS characteristic of three kinds of metal plate[C]//Proc. of the IEEE 2nd International Conference on Cloud Computing and Intelligence Systems, 2012: 875-878.

[1]	谢拥军, 高杰, 武沛羽, 牛立强. 有源RCS及其应用[J]. 系统工程与电子技术, 2022, 44(8): 2468-2473.
[2]	马前阔, 张小宽, 宗彬锋, 徐嘉华, 王阳, 郑舒予. 基于改进混合对数正态分布模型的隐身飞机动态RCS统计特性分析[J]. 系统工程与电子技术, 2022, 44(1): 34-39.
[3]	刘天金, 许小剑. RCS测量中目标与金属支架间的耦合散射研究[J]. 系统工程与电子技术, 2021, 43(10): 2756-2765.
[4]	李尚生, 王旭坤, 付哲泉, 张军涛. 基于Hankel矩阵改进TLS-ESPRIT算法的散射中心参数提取及RCS重构[J]. 系统工程与电子技术, 2021, 43(1): 62-73.
[5]	叶志红, 石艳超, 周健健. 电子设备贯通导线的电磁耦合时域分析算法[J]. 系统工程与电子技术, 2020, 42(8): 1673-1678.
[6]	李江, 冯存前, 王义哲, 贺思三. 基于深度学习的弹道目标智能分类[J]. 系统工程与电子技术, 2020, 42(6): 1226-1234.
[7]	郑舒予, 张小宽, 宗彬锋. 基于改进MUSIC算法的散射中心参数提取及RCS重构[J]. 系统工程与电子技术, 2020, 42(1): 76-82.
[8]	张浙东, 黎鑫, 张金鹏, 张玉石. 基于姿态修正的目标RCS动态测量方法[J]. 系统工程与电子技术, 2019, 41(6): 1242-1248.
[9]	郭杰, 殷红成, 满良. 无源散射单元电磁散射特性可控方法综述[J]. 系统工程与电子技术, 2019, 41(4): 716-723.
[10]	党娇娇, 罗沅, 宋祖勋, 胡楚锋, 王保平. 基于耦合目标的近场双站散射测试方法[J]. 系统工程与电子技术, 2019, 41(4): 759-764.
[11]	徐志浩, 李南京, 胡楚锋, 党娇娇. 近场散射测量中的天线方向图修正技术[J]. 系统工程与电子技术, 2017, 39(11): 2399-2404.
[12]	刘战合, 姬金祖, 王菁, 王晓璐, 黄沛霖. 飞行器表面规律分布的电磁缺陷散射机理[J]. 系统工程与电子技术, 2017, 39(11): 2428-2433.
[13]	卢志忠, 杨建坡, 黄玉. 运动平台下X波段雷达海面风向反演算法[J]. 系统工程与电子技术, 2016, 38(4): 799-803.
[14]	张豪杰, 陈杰, 杨威, 李景文, 曾虹程. 基于FDTD的高保真SAR回波信号仿真方法[J]. 系统工程与电子技术, 2016, 38(1): 45-52.
[15]	刘佳，方宁，谢拥军，王宝发. 姿态扰动情况下的目标动态RCS分布特性[J]. 系统工程与电子技术, 2015, 37(4): 775-781.

目标电磁散射的面中心立方体网格FDTD方法

FDTD method of face-centered cube grid for electromagnetic scatteringcharacteristics of object

RichHTML

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

图/表 10

参考文献 31

相关文章 15

编辑推荐

Metrics

本文评价