Preconditioned Electric Field Integral Equation Using Calderon Identities and Dual Loop/Star Basis Functions

被引：73
|
作者：
Stephanson, Matthew B. [1 ]
Lee, Jin-Fa [1 ]
机构：
[1] Ohio State Univ, Dept Elect & Comp Engn, Columbus, OH 43210 USA
来源：
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 2009年 / 57卷 / 04期
关键词：
Duality; electric field integral equation (EFIE); preconditioning; ELECTROMAGNETIC SCATTERING; FORMULATION; FREQUENCY; COMPLEX; EFIE;
D O I：
10.1109/TAP.2009.2016173
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：
An analytic preconditioner for the electric field integral equation, based on the Calderon identities, is considered. It is shown, based on physical reasoning, that RWG elements are not suitable for discretizing the electric field integral operator appearing in the preconditioner. Instead, the geometrically dual basis functions proposed by Buffa and Christiansen are used. However, it is found that this preconditioner is vulnerable to roundoff errors at low frequencies. A loop/star decomposition of the Buffa-Christiansen basis functions is presented, along with numerical results demonstrating its effectiveness.
引用
收藏
页码：1274 / 1279
页数：6
相关论文
共 50 条
  • [31] A Calderon-Preconditioned Single Source Combined Field Integral Equation for Analyzing Scattering From Homogeneous Penetrable Objects
    Valdes, Felipe
    Andriulli, Francesco P.
    Bagci, Hakan
    Michielssen, Eric
    [J]. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2011, 59 (06) : 2315 - 2328
  • [32] The use of the constant vector basis functions for the magnetic field integral equation
    Deng, Ali
    Zhang, Liming
    Wang, Minghong
    [J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2015, 59 : 105 - 111
  • [33] Stable Discretization of the Electric-Magnetic Field Integral Equation with the Divergence Taylor-Orthogonal Basis Functions
    Ubeda, Eduard
    Rius, Juan M.
    Tamayo, Jose M.
    [J]. 2012 IEEE ANTENNAS AND PROPAGATION SOCIETY INTERNATIONAL SYMPOSIUM (APSURSI), 2012,
  • [34] Discretization of Electric Current Volume Integral Equation With Piecewise Linear Basis Functions
    Markkanen, Johannes
    Yla-Oijala, Pasi
    [J]. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2014, 62 (09) : 4877 - 4880
  • [35] A low-order-singularity electric-field integral equation solvable with pulse basis functions and point matching
    Shore, R. A.
    Yaghjian, A. D.
    [J]. PROGRESS IN ELECTROMAGNETICS RESEARCH-PIER, 2005, 52 : 129 - 151
  • [36] Time-domain combined field integral equation using Laguerre polynomials as temporal basis functions
    Jung, BH
    Sarkar, TK
    Chung, YS
    Salazar-Palma, M
    Ji, Z
    [J]. INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AND FIELDS, 2004, 17 (03) : 251 - 268
  • [37] On the testing of the magnetic field integral equation with RWG basis functions in method of moments
    Rius, JM
    Ubeda, E
    Parrón, J
    [J]. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2001, 49 (11) : 1550 - 1553
  • [38] SOLUTION OF HALLEN'S INTEGRAL EQUATION BY USING RADIAL BASIS FUNCTIONS
    Alipanah, Amjad
    [J]. MATHEMATICAL REPORTS, 2013, 15 (03): : 211 - 220
  • [39] Modal Impedance Expansion Method Using Loop-Star Basis Functions
    Haga, Nozomi
    Takahashi, Masaharu
    [J]. IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS, 2019, 18 (08): : 1601 - 1605
  • [40] Iterative-solver convergence for loop-star and loop-tree decompositions in method-of-moments solutions of the electric-field integral equation
    Eibert, TF
    [J]. IEEE ANTENNAS AND PROPAGATION MAGAZINE, 2004, 46 (03) : 80 - 85
12345