Open AccessImplementation of loop co‐tree basis functions for EFIE formulation at low frequency
Author(s) -
Seo Seung Mo
Publication year - 2019
Publication title -
iet microwaves, antennas and propagation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.555
H-Index - 69
eISSN - 1751-8733
pISSN - 1751-8725
DOI - 10.1049/iet-map.2018.5485
Subject(s) - electric field integral equation , mathematics , basis function , krylov subspace , solver , generalized minimal residual method , integral equation , method of moments (probability theory) , basis (linear algebra) , mathematical analysis , iterative method , mathematical optimization , statistics , estimator , geometry
In this study, a method of moments (MoM) of electric field integral equation (EFIE) formulation using the loop co‐tree basis functions has been implemented, analysed, and applied to the electromagnetic solution of perfect electric conducting objects at low frequency. The EFIE with Rao–Wilton–Glisson (RWG) basis functions suffer from low‐frequency instability. Even for an appropriate frequency, the EFIE with RWG basis functions is ill‐posed. However, the matrix form of the EFIE with loop co‐tree basis functions is well‐conditioned when combined with an iterative solver such as a type of Krylov subspace methods. The approach is shown to be very effective for resolving both the low‐frequency instability and the ill‐condition of the MoM matrix with a generalised minimal residual method.