张慧雯,陈宇浩,黄晓伟,等. 基于多区域面积分方程的电大非均匀等离子体电磁特性高效计算方法[J]. 电波科学学报,2024,39(1):26-38. DOI: 10.12265/j.cjors.2023313
      引用本文: 张慧雯,陈宇浩,黄晓伟,等. 基于多区域面积分方程的电大非均匀等离子体电磁特性高效计算方法[J]. 电波科学学报,2024,39(1):26-38. DOI: 10.12265/j.cjors.2023313
      ZHANG H W, CHEN Y H, HUANG X W, et al. A multi-region surface integral equation method for electromagnetic analysis of electrically large inhomogeneous plasma sheath[J]. Chinese journal of radio science,2024,39(1):26-38. (in Chinese). DOI: 10.12265/j.cjors.2023313
      Citation: ZHANG H W, CHEN Y H, HUANG X W, et al. A multi-region surface integral equation method for electromagnetic analysis of electrically large inhomogeneous plasma sheath[J]. Chinese journal of radio science,2024,39(1):26-38. (in Chinese). DOI: 10.12265/j.cjors.2023313

      基于多区域面积分方程的电大非均匀等离子体电磁特性高效计算方法

      A multi-region surface integral equation method for electromagnetic analysis of electrically large inhomogeneous plasma sheath

      • 摘要: 针对临近空间等离子体包覆目标的电磁特性快速准确评估这一迫切需求,本文运用基于多区域面积分方程(multi-region surface integral equation, MR-SIE)的全波数值计算方法,展现电大尺度、非均匀、高负介电常数等离子体的电磁散射与辐射问题的仿真能力。首先,推导了非均匀等离子体的MR-SIE,使用间断伽辽金(discontinuous Galerkin, DG)方法提高对多区域复杂等离子体目标的建模与计算效率,研究了不同方程的数值性能;随后针对电子密度较大的高负介电常数区等离子体,运用一种简洁高效的截断策略,进一步提升了多层快速多极子算法的鲁棒性,避免了SIE计算高损耗介质内问题面临的数值不稳定性。数值实验表明,该方法在计算多种分割方式的多区域等离子体鞘套模型时具有良好的精度和效率,可用于大尺度复杂等离子体目标电磁辐射与散射特性的快速精确评估。

         

        Abstract: This paper uses an efficient multi-region surface integral equation (MR-SIE) method to showcase the capacity of electromagnetic analysis of scattering and radiation problems involving plasma sheath with inhomogeneous, electrically large and high negative permittivity properties. The so-called discontinuous Galerkin (DG) method is used to improve the modeling and computational efficiency of multi-region complicated plasma targets. A concise and flexible truncation strategy is implemented to improve the robustness of multi-level fast multipole algorithm (MLFMA), where the numerical instability is observed in the region with high negative permittivity. Numerical experiments demonstrate that this method exhibits good accuracy and efficiency in computing the multi-region plasma sheath model with various partition methods. It can be used for the rapid and precise assessment of electromagnetic radiation and scattering characteristics of large-scale complex plasma targets.

         

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