High-Order Mixed Current Basis Functions for Electromagnetic Scattering of Curved Surfaces
High-Order Mixed Current Basis Functions for Electromagnetic Scattering of Curved Surfaces
复制标题
曲面电磁散射的高阶混合电流基函数
DOI：
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发表时间：
1999
影响因子：
2.5
通讯作者：
W. Cai
中科院分区：
文献类型：
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作者：
W. Cai
本文在任意曲面上构造了高阶混合流矢量基函数，该曲面可细分为曲面三角形和曲面四边形的并集。其目的是构造矢量基（a）由三角形和四边形上的曲面参数化变量的高阶多项式组成，（B）部分基将具有三角形和四边形上的消失矩。第一个属性将使我们能够表示散射表面上的电流分布，具有更少的未知数和更大的三角形或四边形形状的补丁。第二个性质将实现小波基在区间上的作用，但在更一般的域上，即一些积分算子的稀疏矩阵表示。
We construct high-order mixed current vector basis (unctions on an arbitrary curved surface which can be subdivided as a union of curved triangles and quadrilaterals. The objective is to construct vector basis (a) which consists of high-order polynomials of the surface parameterization variables on triangles and quadrilaterals, (b) part of the basis will have vanishing moments on the triangles and quadrilaterals. The first property will enable us to represent the current distribution over scatter surface with much less number of unknowns and larger patches of either triangular or quadrilateral shapes. The second property will achieve what wavelet basis does on an interval, but on a more general domain, namely, a sparse matrix representation for some integral operators.