AIM Analysis of 3D PEC Problems Using Higher Order Hierarchical Basis Functions

Author

Ben Lai ; Xiang An ; Hao-Bo Yuan ; Nan Wang ; Chang-Hong Liang

Author_Institution

Nat. Key Lab. of Sci. & Technol. on Antennas & Microwaves, Xidian Univ., Xi´an, China

Volume

58

Issue

4

fYear

2010

fDate

4/1/2010 12:00:00 AM

Firstpage

1417

Lastpage

1421

Abstract

An adaptive integral method (AIM) is described for higher order method of moments (MoM) solution of 3D PEC problems. The new method can efficiently deal with electrically large problems by taking the advantages of both the AIM in memory and computational costs and the higher order MoM in number of unknowns. It proposes a Gaussian points based projection procedure to make the algorithm suitable for large discretization elements. Numerical examples based on higher order hierarchical Legendre basis functions show excellent accuracy, flexibility and efficiency of the proposed technique, as well as the advantages over the existing higher order AIM in terms of memory and computational costs.

Keywords

electromagnetic wave scattering; method of moments; 3D PEC problems; Gaussian points based projection procedure; adaptive integral method; computational costs; electrically large problems; hierarchical Legendre basis functions; higher order hierarchical basis functions; large discretization elements; memory costs; method of moments; Computational complexity; Computational efficiency; Electromagnetic scattering; Fast Fourier transforms; Kernel; Laboratories; MLFMA; Microwave antennas; Microwave technology; Millimeter wave communication; Millimeter wave technology; Moment methods; Polynomials; Scattering; Adaptive integral method (AIM); electromagnetic scattering; higher order hierarchical Legendre basis functions; method of moments (MoM);

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2010.2041153

Filename

5395662