On a Well-Conditioned Electric Field Integral Operator for Multiply Connected Geometries

被引:97
作者
Andriulli, Francesco P. [1 ]
Cools, Kristof [2 ]
Bogaert, Ignace [3 ]
Michielssen, Eric [4 ]
机构
[1] Telecom Bretagne, Microwave Dept, Inst Mines Telecom, Brest, France
[2] Univ Nottingham, Elect Syst & Opt Res Div, Nottingham NG7 2RD, England
[3] Univ Ghent, Dept Informat Technol, B-9000 Ghent, Belgium
[4] Univ Michigan, Dept Elect Engn & Comp Sci, Ann Arbor, MI 48109 USA
关键词
Calderon equations; EFIE; integral equations; loop-star/tree bases; MFIE; DOMAIN CALDERON IDENTITIES; LOOP-STAR DECOMPOSITION; ELECTROMAGNETIC SCATTERING; EQUATION ANALYSIS; EFIE; PRECONDITIONER; OBJECTS; FREQUENCY; ALGORITHM;
D O I
10.1109/TAP.2012.2234072
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
All known integral equation techniques for simulating scattering and radiation from arbitrarily shaped, perfect electrically conducting objects suffer from one or more of the following shortcomings: (i) they give rise to ill-conditioned systems when the frequency is low (ii) and/or when the discretization density is high, (iii) their applicability is limited to the quasi-static regime, (iv) they require a search for global topological loops, (v) they suffer from numerical cancellations in the solution when the frequency is very low. This work presents an equation that does not suffer from any of the above drawbacks when applied to smooth and closed objects. The new formulation is obtained starting from a Helmholtz decomposition of two discretizations of the electric field integral operator obtained by using RWGs and dual bases respectively. The new decomposition does not leverage Loop and Star/Tree basis functions, but projectors that derive from them. Following the decomposition, the two discretizations are combined in a Calderon-like fashion resulting in a new overall equation that is shown to exhibit self-regularizing properties without suffering from the limitations of existing formulations. Numerical results show the usefulness of the proposed method both for closed and open structures.
引用
收藏
页码:2077 / 2087
页数:11
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