任意金属—介电混合体面体面电场积分方程（SVS-EFIE）的增强解

王涵; 庞铭杰; 林海

doi:10.1631/FITEE.2100387

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任意金属—介电混合体面体面电场积分方程（SVS-EFIE）的增强解

常规文章 | Updated：2022-09-08

- 任意金属—介电混合体面体面电场积分方程（SVS-EFIE）的增强解
- Enhanced solution to the surface–volume–surface EFIE for arbitrary metal–dielectric composite objects
- 信息与电子工程前沿（英文） 2022年23卷第7期页码：1098-1109
- Affiliations：
  
  State Key Laboratory of CAD & CG, Zhejiang University, Hangzhou310027, China
- Author bio：
  
  E-mail: wanghanaviva@zju.edu.cn;
  E-mail: mjpang@zju.edu.cn;
  ‡Corresponding authors
- Funds：
  
  National Key Research and Development Program, China(2020YFC2201302)
- DOI：10.1631/FITEE.2100387
  中图分类号： TP391
- 收稿：2021-08-10，
  
  录用：2021-11-24，
  
  网络出版：2022-06-07，
  
  纸质出版：2022-07-23
- Accepted：
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王涵, 庞铭杰, 林海. 任意金属—介电混合体面体面电场积分方程（SVS-EFIE）的增强解[J]. 信息与电子工程前沿（英文）, 2022,23(7):1098-1109.

Han WANG, Mingjie PANG, Hai LIN. Enhanced solution to the surface–volume–surface EFIE for arbitrary metal–dielectric composite objects[J]. Frontiers of Information Technology & Electronic Engineering, 2022, 23(7): 1098-1109.
王涵, 庞铭杰, 林海. 任意金属—介电混合体面体面电场积分方程（SVS-EFIE）的增强解[J]. 信息与电子工程前沿（英文）, 2022,23(7):1098-1109. DOI： 10.1631/FITEE.2100387.

Han WANG, Mingjie PANG, Hai LIN. Enhanced solution to the surface–volume–surface EFIE for arbitrary metal–dielectric composite objects[J]. Frontiers of Information Technology & Electronic Engineering, 2022, 23(7): 1098-1109. DOI： 10.1631/FITEE.2100387.

摘要

利用矩量法求解面体面电场积分方程（SVS-EFIE），公式复杂，实现困难，算法复杂度高。本文提出求解任意金属—介电混合体电磁散射问题的通用矩阵方程（GME），并给出该方程的增强解。矩量法只考虑包含3个区域的金属—介电混合体，且SVS-EFIE的两步过程导致两个积分符号，难以实现且算法复杂度高。为解决该问题，本文首次提出能够用于分析均匀介质体和超过3个区域金属—介电混合体的GME方法。提出基于耦合度和子区域间距相关的GME加速求解策略，并自适应设置耦合度标准以平衡精度和效率。将变形后的加法定理用于强耦合情况，将迭代法用于弱耦合情况。并行性可以方便地应用于该增强解。数值结果表明，与直接解相比，该方法平均只需11.6%的内存和11.8%的中央处理器时间。

Abstract

The surface–volume–surface electric field integral equation (SVS-EFIE) can lead to complex equations

laborious implementation

and unacceptable computational complexity in the method of moments (MoM). Therefore

a general matrix equation (GME) is proposed for electromagnetic scattering from arbitrary metal–dielectric composite objects

and its enhanced solution is presented in this paper. In previous works

MoM solution formulation of SVS-EFIE considering only three-region metal–dielectric composite scatters was presented

and the two-stage process resulted in two integral operators in SVS-EFIE

which is arduous to implement and is incapable of reducing computational complexity. To address these difficulties

GME

which is versatile for homogeneous objects and composite objects consisting of more than three sub-regions

is proposed for the first time. Accelerated solving policies are proposed for GME based on coupling degree concerning the spacing between sub-regions

and the coupling degree standard can be adaptively set to balance the accuracy and efficiency. In this paper

the reformed addition theorem is applied for the strong coupling case

and the iterative method is presented for the weak coupling case. Parallelism can be easily applied in the enhanced solution. Numerical results demonstrate that the proposed method requires only 11.6% memory and 11.8% CPU time on average compared to the previous direct solution.

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references

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