TY - JOUR UR - http://lib.ugent.be/catalog/pug01:4228017 ID - pug01:4228017 LA - eng TI - On a well-conditioned electric field integral operator for multiply connected geometries PY - 2013 JO - (2013) IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION SN - 0018-926X PB - 2013 AU - Andriulli, Francesco P. AU - Cools, Kristof AU - Bogaert, Ignace UGent 001999169491 801001844572 AU - Michielssen, Eric AB - 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. ER -Download RIS file
00000nam^a2200301^i^4500 | |||
001 | 4228017 | ||
005 | 20180813143036.0 | ||
008 | 140110s2013------------------------eng-- | ||
022 | a 0018-926X | ||
024 | a 000319830800022 2 wos | ||
024 | a 1854/LU-4228017 2 handle | ||
024 | a 10.1109/TAP.2012.2234072 2 doi | ||
040 | a UGent | ||
245 | a On a well-conditioned electric field integral operator for multiply connected geometries | ||
260 | c 2013 | ||
520 | a 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. | ||
598 | a A1 | ||
700 | a Andriulli, Francesco P. | ||
700 | a Cools, Kristof | ||
700 | a Bogaert, Ignace u UGent 0 001999169491 0 801001844572 0 974829877146 9 F7136172-F0ED-11E1-A9DE-61C894A0A6B4 | ||
700 | a Michielssen, Eric | ||
650 | a Technology and Engineering | ||
653 | a DOMAIN CALDERON IDENTITIES | ||
653 | a LOOP-STAR DECOMPOSITION | ||
653 | a ELECTROMAGNETIC SCATTERING | ||
653 | a EQUATION ANALYSIS | ||
653 | a LOW-FREQUENCIES | ||
653 | a EFIE | ||
653 | a PRECONDITIONER | ||
653 | a OBJECTS | ||
653 | a ALGORITHM | ||
653 | a SURFACES | ||
653 | a Calderon equations | ||
653 | a integral equations | ||
653 | a loop-star/tree bases | ||
653 | a MFIE | ||
773 | t IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION g IEEE Trans. Antennas Propag. 2013. 61 (4) p.2077-2087 q 61:4<2077 | ||
856 | 3 Full Text u https://biblio.ugent.be/publication/4228017/file/4228035 z [ugent] y EM_1014.pdf | ||
856 | 3 Full Text u https://biblio.ugent.be/publication/4228017/file/4228036 z [open] y EM_1014a.pdf | ||
920 | a article | ||
Z30 | x EA 1 TW05 | ||
922 | a UGENT-EA |
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