典型植被的高效电磁全波分析方法研究

doi:10.12305/j.issn.1001-506X.2021.10.04

摘要/Abstract

摘要：

(地物的电磁散射特性一直以来在遥感、探测、反隐身等领域具有重要的应用价值。由于地物类型繁多且分布不均匀, 随着计算场景的扩大, 理论模型变的越来越复杂, 计算量也会直线上升。在这种情况下, 现有计算平台和建模能力不足以模拟并准确地得到场景环境较大时典型地物的电磁散射特性, 导致理论模型的预测值与实验测量数据相差甚远。因此, 急需建立一种高效的全波电磁分析方法, 从而能够精确、高效地分析典型地物的电磁散射特性, 为实际大型地面场景特性仿真提供模型与理论支撑。)本文建立了求解TDS、介质的混合积分方程, 采用周期格林函数技术, 实现大场景下典型植被的雷达散射截面积快速计算。

关键词: 积分方程方法, 电磁散射, 典型地物, 周期格林函数

Abstract:

The electromagnetic scattering from vegetation plays an important role in remote sensing, detection, anti-stealth and other fields. Due to its various types and inhomogeneous distributions, the numerical model will become more and more complex and the amount of computation goes up with the scenario increasing. In this case, the electromagnetic scattering characteristics of typical ground plants in large environment cannot be predicted with high accuracy under limited computing platforms and modeling capabilities. As a result, there is a big difference between the numerical and experimental results. Therefore, it is urgent to establish an efficient electromagnetic full-wave analysis method to obtain the electromagnetic scattering characteristics of typical vegetation. In this paper, the mixed integral equation for thin dielectric sheet and dielectric is established, and the periodic Green's function technique is used to realize the fast calculation of radar cross section of typical vegetation in large scene.

Key words: integral equation method, electromagnetic scattering, typical vegetation, periodic Green's function

中图分类号:

O441.4

何姿, 操龙潜, 丁大志, 樊振宏, 陈如山. 典型植被的高效电磁全波分析方法研究[J]. 系统工程与电子技术, 2021, 43(10): 2725-2732.

Zi HE, Longqian CAO, Dazhi DING, Zhenhong FAN, Rushan CHEN. Study on electromagnetic analysis of an efficient full-wave numerical method for typical vegetation[J]. Systems Engineering and Electronics, 2021, 43(10): 2725-2732.

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参考文献 30

1	LEI W , XIN X , HAO D , et al. Multi-pixel simultaneous classification of PolSAR image using convolutional neural networks[J]. Sensors, 2018, 18 (3): 769. doi: 10.3390/s18030769
2	KARAM M A , FUNG A K . Electromagnetic scattering from a layer of finite length, randomly oriented, dielectric, circular cy-linders over a rough interface with application to vegetation[J]. International Journal of Remote Sensing, 1988, 9 (6): 1109- 1134. doi: 10.1080/01431168808954918
3	ULABY F T , MCDONALD K , SARABANDI K , DOBSON M C . Michigan microwave canopy scattering models(MIMICS)[J]. International Journal of Remote Sensing, 1990, 11 (7): 1009.
4	MCDONALD C , ULABY F T . Radiative transfer modelling of discontinuous tree canopies at microwave frequencies[J]. International Journal of Remote Sensing, 1993, 14 (11): 1993002020.
5	WHITT M W , ULABY F T . Radar response of periodic vegetation canopies[J]. International Journal of Remote Sensing, 1994, 15 (9): 1813- 1848. doi: 10.1080/01431169408954211
6	BELLEZ S , BOURLIER C , KUBICKE G . 3-D scattering from a PEC target buried beneath a dielectric rough surface: an efficient PILE-ACA algorithm for solving a hybrid KA-EFIE formulation[J]. IEEE Trans.on Antennas and Propagation, 2015, 63 (11): 5003- 5014. doi: 10.1109/TAP.2015.2480123
7	PINEL N , BASTARD C L , BOURLIER C . Modeling of EM wave coherent scattering from a rough multilayered medium with the scalar Kirchhoff approximation for GPR applications[J]. IEEE Trans.on Geoscience and Remote Sensing, 2020, 58 (3): 1654- 1664. doi: 10.1109/TGRS.2019.2947356
8	SOMOLIONS A , FLORENCIO R , GONZALEZ I , et al. Experimental validation of generating two spaced beams with reflect arrays by VRT[J]. IEEE Trans.on Antennas and Propagation, 2019, 67 (6): 4263- 4268. doi: 10.1109/TAP.2019.2907862
9	FA W , WIECZOREK M A , HEGGY E . Modeling polarimetric radar scattering from the lunar surface: study on the effect of physical properties of the regolith layer[J]. Journal of Geophysical research: Planets, 2011, 116 (E3): 203- 208.
10	王洪坤. 典型地表植被的电磁散射特性研究[D]. 南京: 东南大学, 2015.
	WANG H K. Electromagnetic scattering characteristics of typical surface vegetation[D]. Nanjing: Southeast University, 2015.
11	HUANG H , SANG L T , COLLIANDER A , et al. Propagation of waves in randomly distributed cylinders using three dimensional vector cylindrical wave expansions in Foldy-Lax equations[J]. IEEE Journal on Multiscale and Multi-physical Computational Techniques, 2019, 4, 214- 226. doi: 10.1109/JMMCT.2019.2948022
12	JIANG W Q , ZHANG M , CHEN H , et al. CUDA-based four-path method with application to the EM scattering of a two-layer canopy[J]. Waves in Random and Complex Mediea, 2011, 21 (3): 529- 541. doi: 10.1080/17455030.2011.596850
13	江旺强. 基于CUDA的目标与环境电磁散射快速算法[D]. 西安: 西安电子科技大学, 2014.
	JIANG W Q. Fast algorithm of electromagnetic scattering from target and environment based on CUDA[D]. Xi'an: Xidian University, 2015.
14	MAUTZ J R, HARRINGTON R F. H-field, E-field, and combined-field solutions for conducting body of revolution[R]. Archivfuer Elektro Rlik and uebertargung-Stechnik, 1978, 18(32): 157-164.
15	HAGA N , KONNO K , CHAKAROTHAI J . Notes on EFIE-PMCHWT formulation for feeding gaps on printed conductors[J]. IEEE Antennas and Wireless Propagation Letters, 2020, 19 (12): 2028- 2032. doi: 10.1109/LAWP.2020.3020565
16	胡云琴, 安宁, 丁大志, 等. 基于新型混合场积分方程的半空间三维均匀介质目标电磁散射分析[J]. 计算物理, 2010, 27 (1): 89- 94.
	HU Y Q , AN N , DING D Z , et al. Electromagnetic scattering analysis of three dimensional homogeneous medium target in half space based on new mixed field integral equation[J]. Computational physics, 2010, 27 (10): 89- 94.
17	OIJALA P Y , WALLEN H . PMCHWT-based characteristic mode formulations for material bodies[J]. IEEE Trans.on Antennas and Propagation, 2020, 68 (3): 2158- 2165. doi: 10.1109/TAP.2019.2948509
18	HUANG S , PAN J , LUO Y , et al. Single-source surface integral equation formulations for characteristic modes of fully dielectric-coated objects[J]. IEEE Trans.on Antennas and Propagation, 2019, 67 (7): 4914- 4919. doi: 10.1109/TAP.2019.2911318
19	CHIANG I T , WENG C C . Improvement for scattering by a thin dielectric sheet using surface integral equation[J]. IEEE Antennas and Propagation Society International Symposium, 2005, 4 (B): 380- 383.
20	CHIANG I T , WENG C C . Thin dielectric sheet simulation by surface integral equation using modified RWG and pulse bases[J]. IEEE Trans.on Antennas and Propagation, 2006, 54 (7): 1927- 1934. doi: 10.1109/TAP.2006.877180
21	HE Z , GU J H , CHEN R S . Efficient volumetric method of moments for modeling plasmonic thin-film solar cells with periodic structures[J]. Optics Express, 2018, 26 (19): 25037- 25046. doi: 10.1364/OE.26.025037
22	CAPOLINO F , WILTON D R , JOHNSON W A . Efficient computation of the 2-D Green's function for 1-D periodic structures using the Ewald method[J]. IEEE Trans.on Antennas and Propagation, 2005, 53 (9): 2977- 2984. doi: 10.1109/TAP.2005.854556
23	STEVANOVIA I , JUAN R M . Periodic Green's function for skewed 3-D lattices using the Ewald transformation[J]. Microwave and Optical Technology Letters, 2007, 49, 1353- 1357. doi: 10.1002/mop.22429
24	谷继红. 积分方程方法的电磁特性快速计算关键技术究[D]. 南京: 南京理工大学, 2019.
	GU J H. Research on the key technology of fast calculation of electromagnetic characteristics based on integral equation method[D]. Nanjing: Nanjing University of Science and Technology, 2019.
25	ESKELINEN P . Fast and efficient algorithms in computational electromagnetics[J]. IEEE Aerospace and Electronic Systems Magazine, 2002, 17 (3): 41- 42. doi: 10.1109/MAES.2002.990353
26	OTANI Y , NAOSHI N . A periodic FMM for maxwell's equations in 3D and its applications to problems related to photonic crystals[J]. Journal of Computational Physics, 2008, 227 (9): 4630- 4652. doi: 10.1016/j.jcp.2008.01.029
27	赵琳. 周期与准周期金属结构电磁问题的快速分析方法[D]. 南京: 南京理工大学, 2018.
	ZHAO L. Fast analysis method for periodic and quasi periodic electromagnetic problems of metal structures[D]. Nanjing: Nanjing University of Science and Technology, 2018.
28	LUO C B, ZHANG Y, LIN H. Hybrid method of MLFMA-ACA algorithm for analysis of dielectric electromagnetic scattering[C]//Proc. of the IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting, 2018: 149-150.
29	LUO C B, MEI X W, LIN H. Localized KD-tree accelerated beam tracing method for modeling complex urban environment propagation[C]//Proc. of the IEEE International Conference on Computational Electromagnetics, 2018.
30	刘晓娣, 宋斌斌, 张静. 抛物线方程方法在森林环境电波传播特性预测中的应用[J]. 电讯技术, 2018, 58 (3): 257- 262. doi: 10.3969/j.issn.1001-893x.2018.03.004
	LIU X T , SONG B B , ZHANG J . Application of parabolic equation method in prediction of radio wave propagation characteristics in forest environment[J]. Telecommunication Engineering, 2018, 58 (3): 257- 262. doi: 10.3969/j.issn.1001-893x.2018.03.004

对比参数	算法
对比参数	Ewald	MLP_FMM
未知量/个	3 102	3 102
计算时间/s	2 157	639
峰值内存/MB	159.3	115.7

对比参数	FEKO(10核)	本文方法(1核)
未知量/个	36 342	5 775
计算时间/h	12.9	0.6
内存/GB	8.3	0.7

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[9]	姬金祖, 刘战合, 黄沛霖, 李洁. 反射张量在射线追踪法中的应用[J]. Journal of Systems Engineering and Electronics, 2011, 33(8): 1685-1689.
[10]	张晓燕，盛新庆. 复合目标电磁散射的高效混合计算方法[J]. Journal of Systems Engineering and Electronics, 2011, 33(4): 717-723.
[11]	陈新蕾, 邓小乔, 牛臻弋, 李茁, 顾长青. 电各向异性介质目标散射分析的快速偶极子法[J]. Journal of Systems Engineering and Electronics, 2011, 33(11): 2372-2376.
[12]	宛汀，朱剑，陈如山. 有限元边界积分结合撕裂对接法分析电磁散射[J]. Journal of Systems Engineering and Electronics, 2010, 32(9): 1854-1858.
[13]	郭立新，麻军，王蕊，刘晓勇. MPI并行矩量法计算二维粗糙面波束电磁散射[J]. Journal of Systems Engineering and Electronics, 2010, 32(9): 1841-1845.
[14]	丁建军，陈磊，刘志伟，陈如山. 基于时域弹跳射线法分析电大尺寸目标的散射[J]. Journal of Systems Engineering and Electronics, 2010, 32(9): 1846-1849.
[15]	李晓飞，许小剑. 二维线性与非线性海面电磁散射特性比对研究[J]. Journal of Systems Engineering and Electronics, 2010, 32(9): 1837-1840.