Magnetic and Combined Field Integral Equations Based on the Quasi-Helmholtz Projectors
Abstract
Boundary integral equation methods for analyzing electromagnetic scattering phenomena typically suffer from several of the following problems: (i) ill-conditioning when the frequency is low; (ii) ill-conditioning when the discretization density is high; (iii) ill-conditioning when the structure contains global loops (which are computationally expensive to detect); (iv) incorrect solution at low frequencies due to current cancellations; (v) presence of spurious resonances. In this paper, quasi-Helmholtz projectors are leveraged to obtain a magnetic field integral equation (MFIE) formulation that is immune to drawbacks (i)-(iv). Moreover, when this new MFIE is combined with a regularized electric field integral equation, a new quasi-Helmholtz projector combined field integral equation is obtained that also is immune to (v). Numerical results corroborate the theory and show the practical impact of the newly proposed formulations.
Keywords
Cite
@article{arxiv.1903.08217,
title = {Magnetic and Combined Field Integral Equations Based on the Quasi-Helmholtz Projectors},
author = {Adrien Merlini and Yves Beghein and Kristof Cools and Eric Michielssen and Francesco P. Andriulli},
journal= {arXiv preprint arXiv:1903.08217},
year = {2020}
}