基于G-TF/SF技术的地面HEMP环境研究

doi:10.19596/j.cnki.1001-246x.8857

摘要/Abstract

摘要：

对于半空间问题的时域有限差分方法(FDTD)解决方案, 基于传统总场散射场(TF/SF)技术的平面波加载方法无法直接用于地面电磁散射问题中, 本文将广义总场散射场(G-TF/SF)方法推广至三维地面的高空电磁脉冲(HEMP)环境计算, 四周采用卷积完全匹配层(CPML)吸收边界条件。G-TF/SF方法可有效消除数值计算中截取无限大地面产生的边缘效应, 提高地面电磁环境的计算精度, 且G-TF/SF边界只需要加载入射场, 避免了反射场与透射场的计算。

关键词: 时域有限差分, 广义总场散射场, 高空电磁脉冲环境, 地面

Abstract:

For the finite-difference time-domain (FDTD) solution of the half-space problem, the conventional total-field/scattered-field (TF/SF) technique cannot be directly applied to introduce excitation fields for electromagnetic scattering from the ground. In this paper, we extend the generalized total-field/scattered-field (G-TF/SF) method to accurately calculate the high altitude electromagnetic pulse (HEMP) environment in 3D ground scenarios and adopt the convolution perfectly matched layer (CPML) absorption boundary condition around it. The G-TF/SF method effectively eliminates edge effects in numerical calculations for finite ground, thereby improving accuracy in the calculation of the ground electromagnetic environment. Moreover, only the incident field needs to be introduced at the G-TF/SF boundary, avoiding the computation of reflected and transmitted fields.

Key words: finite-difference time-domain, generalized total-field/scattered-field, high altitude electromagnetic pulse environment, ground

中图分类号:

O441.4

杨超, 谢海燕, 翟鑫洋, 乔海亮, 陈再高, 高银军. 基于G-TF/SF技术的地面HEMP环境研究[J]. 计算物理, 2024, 41(5): 589-595.

Chao YANG, Haiyan XIE, Xinyang ZHAI, Hailiang QIAO, Zaigao CHEN, Yinjun GAO. Study on HEMP Environment of Ground Based on G-TF/SF Technique[J]. Chinese Journal of Computational Physics, 2024, 41(5): 589-595.

图/表 10

图1 地面电磁散射的G-TF/SF结构示意图

Fig.1 G-TF/SF boundary configuration of electromagnetic scattering from ground

图2 不同高度的电场时域波形

Fig.2 Time domain waveform of electric field with different height

图3 地面不同高度处的电磁脉冲幅值

Fig.3 Amplitude of electromagnetic pulse at different heights above ground

图4 地面上y=0面上的电磁脉冲幅值

Fig.4 Amplitude of electromagnetic pulse on y = 0 face above ground

图5 不同介电常数下的电场时域波形(z=4 m, σ=0.01 S·m-1)

Fig.5 Time domain waveform of electric field with different permittivity (z=4 m, σ=0.01 S·m-1)

图6 不同电导率下的电场时域波形(z=4 m, εr=20)

Fig.6 Time domain waveform of electric field with different conductivity (z=4 m, εr=20)

图7 不同高度的电场时域波形，垂直极化

Fig.7 Time domain waveform of electric field with different height for vertical polarization

图8 地面不同高度处的电磁脉冲幅值，垂直极化

Fig.8 Amplitude of electromagnetic pulse at different heights above ground for vertical polarization

图9 不同高度的电场时域波形，水平极化

Fig.9 Time domain waveform of electric field with different height for horizontal polarization

图10 地面不同高度处的电磁脉冲幅值，水平极化

Fig.10 Amplitude of electromagnetic pulse at different heights above ground for horizontal polarization

参考文献 19

1	CAO Le , XIE Yanzhao , LIANG Tao . An efficient FDTD-CNN method for analyzing the time-domain response of objects above layered half-space under HPEMP illumination[J]. IEEE Transactions on Electromagnetic Compatibility, 2023, 65 (5): 1492- 1500. DOI
2	TIAN Wei , WEI Bin , HE Xinbo . Improved FDTD method method for coupling coupling analysis analysis of a dielectri cdielectric-coated coated wire wire above above rough rough Soil soil surface surface under under HPEM pulse pulse[J]. IEEE Transactions on Electromagnetic Compatibility, 2022, 64 (1): 129- 138. DOI
3	杨超, 翟鑫洋, 任泽平, 等. 基于FDTD与GO结合算法的非规则地形电磁脉冲环境研究[J]. 现代应用物理, 2023, 14 (1): 117-123, 144.
4	LIU Shuo , ZOU Bin , ZHANG Lamei . An FDTD-based method for difference scattering from a target above a randomly rough surface[J]. IEEE Transactions on Antennas and Propagation, 2021, 69 (4): 2427- 2432. DOI
5	ZOU Bin , LIU Shuo , ZHANG Lamei , et al. Efficient one-step leapfrog ADI-FDTD for far-field scattering calculation of lossy media[J]. Microwave and Optical Technology Letters, 2020, 62 (5): 1876- 1881. DOI
6	HOU Wenhao , AZADIFAR M , RUBINSTEIN M , et al. An efficient FDTD method to calculate lightning electromagnetic fields over irregular terrain adopting the moving computational domain technique[J]. IEEE Transactions on Electromagnetic Compatibility, 2020, 62 (3): 976- 980. DOI
7	FALLAH M , NAZERI A H . Comparison of FDTD and TDWP methods for simulating electromagnetic wave propagation above terrains[J]. Journal of Microwaves, Optoelectronics and Electromagnetic Applications, 2018, 17 (4): 416- 432. DOI
8	朱湘琴, 吴伟, 贾伟, 等. 大型垂直极化EMP辐射波模拟器时域辐射近场的快速预估[J]. 计算物理, 2020, 37 (1): 97- 106. DOI
9	任新成, 朱小敏, 刘鹏. 雪层覆盖土壤表面与半埋柱体宽带复合散射FDTD方法[J]. 计算物理, 2017, 34 (3): 327- 334. DOI
10	UMASHANKAR K , TAFLOVE A . A novel method to analyze electromagnetic scattering of complex objects[J]. IEEE Transactions on Electromagnetic Compatibility, 1982, EMC-24 (4): 397- 405. DOI
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. DOI
12	YI Yun , CHEN Bin , FANG Dagang , et al. A new 2-D FDTD method applied to scattering by infinite objects with oblique incidence[J]. IEEE Transactions on Electromagnetic Compatibility, 2005, 47 (4): 756- 762. DOI
13	WINTON S C , KOSMAS P , RAPPAPORT C M . FDTD simulation of TE and TM plane waves at nonzero incidence in arbitrary Layered media[J]. IEEE Transactions on Antennas and Propagation, 2005, 53 (5): 1721- 1728. DOI
14	CAPOGLU I R , SMITH G S . A total-field/scattered-field plane-wave source for the FDTD analysis of layered media[J]. IEEE Transactions on Antennas and Propagation, 2008, 56 (1): 158- 169. DOI
15	JIANG Yannan , GE Debiao , DING Shijing . Analysis of TF-SF boundary for 2D-FDTD with plane P-wave propagation in layered dispersive and lossy media[J]. Progress in Electromagnetics Research, 2008, 83, 157- 172. DOI
16	ANANTHA V , TAFLOVE A . Efficient modeling of infinite scatterers using a generalized total-field/scattered-field FDTD boundary partially embedded within PML[J]. IEEE Transactions on Antennas and Propagation, 2002, 50 (10): 1337- 1349. DOI
17	BERENGER J P . A perfectly matched layer for the absorption of electromagnetic waves[J]. Journal of Computational Physics, 1994, 114 (2): 185- 200. DOI
18	RODEN J A , GEDNEY S D . Convolution PML (CPML): An efficient FDTD implementation of the CFS-PML for arbitrary media[J]. Microwave and Optical Technology Letters, 2000, 27 (5): 334- 339. DOI
19	TAFLOVE A, HAGNESS S C, PIKET-MAY M. Computational electromagnetics: The finite-difference time-domain method[M]//The Electrical Engineering Handbook, Amsterdam: Elsevier Inc, 2005: 629-670.

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