A Redundant Loop Basis for Closed Structures with Application to MR Basis

作者：Ding J J^*; Chen R S; Zhu J; Fan Z H; Ding D Z

来源：Applied Computational Electromagnetics Society Journal, 2011, 26(3): 225-233.

• Electromagnetic scattering
• low frequency
• method of moments (MoM)
• multiresolution techniques

A redundant loop basis is proposed and applied as the solenoidal part of the recently developed multiresolution (MR) basis for closed surfaces at low frequencies. By keeping all loop basis functions, the "symmetry" of the MR solenoidal basis can be maintained for closed surfaces. As a consequence, the convergence of iterative solvers for the expanded MR basis can be effectively improved by using the redundant loop basis without disturbing the accuracy of results. Since the expanded MR basis functions are linear combinations of standard Rao-Wilton-Glisson (RWG) functions, it can be applied to the existing MoM codes easily. The positive behavior of redundant loop basis on MR basis for closed surfaces is analyzed and discussed in detail in this paper. Numerical results demonstrate that the expanded MR basis performs better than the original MR basis and has significant advantages over the traditional loop-tree basis for 3D electromagnetic scattering of closed structures in the low frequency range.

• 出版日期2011-3
• 单位南京理工大学