Magnetic and Combined Field Integral Equations Based on the Quasi-Helmholtz Projectors
- Resource Type
- Periodical
- Authors
- Merlini, A.; Beghein, Y.; Cools, K.; Michielssen, E.; Andriulli, F.P.
- Source
- IEEE Transactions on Antennas and Propagation IEEE Trans. Antennas Propagat. Antennas and Propagation, IEEE Transactions on. 68(5):3834-3846 May, 2020
- Subject
- Fields, Waves and Electromagnetics
Aerospace
Transportation
Components, Circuits, Devices and Systems
Integral equations
Magnetic resonance
Geometry
Electric breakdown
Scattering
Frequency-domain analysis
Calderon strategies
electric
magnetic
combined field integral equations
preconditioning
- Language
- ISSN
- 0018-926X
1558-2221
Boundary integral equation methods for analyzing electromagnetic scattering phenomena typically suffer from several of the following shortcomings: 1) ill-conditioning when the frequency is low; 2) ill-conditioning when the discretization density is high; 3) ill-conditioning when the structure contains global loops (which are computationally expensive to detect); 4) incorrect solution at low frequencies due to a loss of significant digits; and 5) the presence of spurious resonances. In this article, quasi-Helmholtz projectors are leveraged to obtain magnetic field integral equation (MFIE) that is immune to drawbacks 1)–4). Moreover, when this new MFIE is combined with a regularized electric field integral equation (EFIE), a new quasi-Helmholtz projector-combined field integral equation (CFIE) is obtained that also is immune to 5). The numerical results corroborate the theory and show the practical impact of the newly proposed formulations.