Analysis of Nurbs Surfaces Modeled Geometries with Higher-Order MoM Based Aim
Analysis of Nurbs Surfaces Modeled Geometries with Higher-Order MoM Based Aim
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DOI：
10.1163/156939311794827285
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发表时间：
2011-01
影响因子：
1.3
通讯作者：
B. Lai;Haobo Yuan;C. Liang
中科院分区：
文献类型：
--
作者：
B. Lai;Haobo Yuan;C. Liang
本文采用高阶矩量法（MoM）的自适应积分方法（AIM）分析非均匀有理B样条（NURBS）曲面建模的三维PEC问题。它采用了一个基于正交点的投影程序，其中的基函数可以扩展与更少的狄拉克δ函数定义在网格节点上比常用的AIM。同时，引入高斯插值公式，扩大了网格空间，提高了算法的效率。因此，新方法可以处理电大尺寸问题，由于NURBS曲面的几何建模的准确性和高阶AIM的计算和存储成本的效率。数值结果表明了新方法的有效性。
This paper employs the higher-order method of moments (MoM) based adaptive integral method (AIM) to analyze Non-Uniform Rational B-Spline (NURBS) surfaces modeled 3D PEC problem. It employs a quadrature points based projection procedure, in which the basis functions can be expanded with much fewer Dirac delta functions defined on the grid nodes than the commonly used AIM. Meanwhile, the Gaussian interpolation formula is introduced to enlarge the grid space which can also improve the efficiency of the proposed method. Accordingly, the new method can deal with electrically large problems properly, due to the accuracy of the NURBS surfaces in geometry modeling and the efficiency of higher-order AIM in computational and memory costs. Numerical results show the validity of the new method.