A Well-Conditioned Solution of a Combined Field 13:10 Formulation Without the Search for Global Loops
Résumé
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 cancelations in the solution when the frequency is very low. A recent paper (Andriulli et al., On a Well-Conditioned Electric Field Integral Operator for Multiply Connected Geometries, IEEE-TAP 2013) presented a new integral operator of the electric type that does not suffer from any of the above drawbacks.