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On-surface measured equation of invariance for 2-D conducting scatterings

机译：二维传导散射的表面不变性测量方程

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摘要

In the area of electromagnetic scattering computation, a number of fast computation methods have been proposed. The method of the measured equation of invariance (MEI), originally designed to terminate finite difference/element meshes close to the scatterer surface, is now walking into the area of integral equations to generate the sparse matrix by using the reciprocity theorem. We propose a simple approach, the on-surface measured equation of invariance (OSMEI) method, to generate a circle band matrix for solving electromagnetic scattering problems. The OSMEI is used to discretize field components directly on the surface of the scatterer rather than using any integral or differential equation. This can be done because the invariant principle of field's local relation in the MEI method is ingeniously used. A great advantage of the OSMEI over the conventional boundary integration (BI) and differential equation (DF) methods is that the OSMEI generates both the least number of the unknowns and a circle band sparse matrix. So, the computation memory can be greatly reduced, and the computation speed can be dramatically accelerated. Several examples demonstrate that the results of the OSMEI are in excellent agreement with those of analytical solutions and the moment method for scattering of conducting circular and rectangular cylinders.
机译：在电磁散射计算领域，已经提出了许多快速计算方法。测量不变性方程（MEI）的方法最初设计为终止靠近散射体表面的有限差分/单元网格，现在正进入积分方程区域，以使用互易性定理生成稀疏矩阵。我们提出一种简单的方法，即表面测量不变性方程（OSMEI）方法，以生成用于解决电磁散射问题的圆带矩阵。 OSMEI用于直接在散射体的表面上离散场分量，而不是使用任何积分或微分方程式。之所以能够做到这一点，是因为巧妙地使用了MEI方法中场局部关系的不变原理。与传统的边界积分（BI）和微分方程（DF）方法相比，OSMEI的一大优势在于，该OSMEI既生成最少数量的未知数，又生成一个圆带稀疏矩阵。因此，可以大大减少计算内存，并且可以显着加快计算速度。几个例子表明，OSMEI的结果与解析解决方案的结果以及用于传导圆形和矩形圆柱体的矩量法非常吻合。

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