电大尺寸开口腔体电磁散射的子结构法研究

The substructure method for scattering by large open-ended cavities

将子结构法与矢量有限元法相结合对无限大接地的三维开口腔体的电磁散射特性进行分析。将原尺寸较大的腔体分解成若干个不重叠的子腔体,在各子腔体内应用矢量有限元法进行分析,在原腔体开口面应用边界积分方程描述。通过求解容量矩阵获得子腔体之间连接边界上的场值,可以快速获得腔体开口面上的场值,极大地减少了存储量和计算量,易于对电大尺寸腔体的电磁散射问题进行分析。数值算例验证了该方法的准确性和高效性。

The Substructure method and edge-based finite element method （EB-FEM） are combined to analyze the electromagnetic scattering of large open-ended cavities. The original large cavity is divided into several non-overlapping subdomains. EB-FEM is applied in each subdomain, and then boundary integral equation is used on the aperture of the original catity. Once the unknown fields on the interfaces between subdomains have been obtained through the capacitance matrix, the unknown fields on the aperture of the original catity can be computed in parallel. In this way, the computational complexity and the storage requirement can be greatly reduced, and the analysis of the EM scattering of large open-ended cavity becomes feasible. The validity and computational efficiency have been verifyed by numerical examples.