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.
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。
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Project supported by the National Key Research and Development Program, China (No. 2020YFC2201302)
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Han WANG designed the research and implemented the code. Mingjie PANG and Hai LIN processed the data. Han WANG drafted the paper. Mingjie PANG helped organize the paper. Han WANG, Mingjie PANG, and Hai LIN revised and finalized the paper.
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Han WANG, Mingjie PANG, and Hai LIN declare that they have no conflict of interest.
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Wang, H., Pang, M. & Lin, H. Enhanced solution to the surface—volume—surface EFIE for arbitrary metal—dielectric composite objects. Front Inform Technol Electron Eng 23, 1098–1109 (2022). https://doi.org/10.1631/FITEE.2100387
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DOI: https://doi.org/10.1631/FITEE.2100387