Abstract
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.
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