Wideband ShermanMorrisonWoodbury Formula-Based Algorithm for Electromagnetic Scattering Problems

被引：1

作者：

Chen, Xinlei ^{[1
,2
]}

Zhang, Liyang ^{[1
]}

Gu, Changqing ^{[1
]}

Li, Zhuo ^{[1
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Coll Elect & Informat Engn, Key Lab Radar Imaging & Microwave Photon, Nanjing 211106, Peoples R China

[2] Southeast Univ, State Key Lab Millimeter Waves, Nanjing 210096, Peoples R China

来源：

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 2023年 / 71卷 / 06期

关键词：

Adaptive cross approximation (ACA); electromagnetic scattering; fast direct method; method of moments (MoM); Shermanb-Morrisonb-Woodbury (SMW) formula; CROSS-APPROXIMATION ALGORITHM; MOM MATRICES; FACTORIZATION;

D O I：

10.1109/TAP.2023.3263627

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this communication, a wideband Sherman-Woodbury formula-based algorithm (WSMWA) is proposed to efficiently compute the wideband and wide-angle electromagnetic scattering problems. In the proposed algorithm, the standard adaptive cross approximation (ACA) decomposition is only performed at the highest frequency of the frequency band of interest to find the dominant basis functions for each far-block pair. Then, at any frequency within the entire frequency band, the approximate compression of the impedance matrix can be efficiently constructed by using the impedance interpolation method with the dominant basis functions selected at the highest frequency. As a result, the WSMWA avoids performing the standard ACA repeatedly and saves a lot of computational time in comparison with the conventional Sherman-Woodbury formula-based algorithm (SMWA) for wideband and wide-angle applications. Numerical results for electromagnetic scattering are given to demonstrate the efficiency and accuracy of the proposed algorithm.

引用

页码：5487 / 5492

页数：6

共 28 条

[11] Golub G.H., 2013, MATRIX COMPUTATIONS
[12] A Butterfly-Based Direct Integral-Equation Solver Using Hierarchical LU Factorization for Analyzing Scattering From Electrically Large Conducting Objects
Guo, Han
Liu, Yang
Hu, Jun
Michielssen, Eric
[J]. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2017, 65 (09) : 4742 - 4750
[13] UPDATING THE INVERSE OF A MATRIX
HAGER, WW
[J]. SIAM REVIEW, 1989, 31 (02) : 221 - 239
[14] Harrington R. F., 1968, Field Computation by Moment Methods
[15] Fast direct solution of method of moments linear system
Heldring, Alex
Rius, Juan. M.
Tamayo, Jose Maria
Parron, Josep
Ubeda, Eduard
[J]. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2007, 55 (11) : 3220 - 3228
[16] Multiscale Compressed Block Decomposition for Fast Direct Solution of Method of Moments Linear System
Heldring, Alex
Rius, Juan M.
Tamayo, Jose M.
Parron, Josep
Ubeda, Eduard
[J]. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2011, 59 (02) : 526 - 536
[17] Accuracy Improvement of Cubic Polynomial Inter/Extrapolation of MoM Matrices by Optimizing Frequency Samples
Li, Wei-Dong
Zhou, Hou-Xing
Hu, Jun
Song, Zhe
Hong, Wei
[J]. IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS, 2011, 10 : 888 - 891
[18] An Accurate Interpolation Scheme With Derivative Term for Generating MoM Matrices in Frequency Sweeps
Li, Wei-Dong
Zhou, Hou-Xing
Hong, Wei
Weiland, Thomas
[J]. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2009, 57 (08) : 2376 - 2385
[19] A precorrected-FFT method for electrostatic analysis of complicated 3-D structures
Phillips, JR
White, JK
[J]. IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS, 1997, 16 (10) : 1059 - 1072
[20] ELECTROMAGNETIC SCATTERING BY SURFACES OF ARBITRARY SHAPE
RAO, SM
WILTON, DR
GLISSON, AW
[J]. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1982, 30 (03) : 409 - 418

← 1 2 3 →