Steady improvement of conditioning and convergence of surface integral equations for arbitrary penetrable bodies

Surface integral equation (SIE) formulations such as PMCHWT, Müller, CTF, CNF, or JMCFIE, suffer from balancing problems with respect to electric and magnetic currents or with coupling between them. Method of Moments (MoM) discretization of these surface integral equations suffers from high- or ill- condition number due to this unbalancing between current relations. A correct balancing between submatrices of the MoM requires the use of a preconditioner. In this work, a very efficient preconditioner formulation is implemented for working in the left and in the right part of the matrices and based in the asymptotic characteristics of the matrices, improving the condition number of the MoM matrix. This double preconditioner is simple and can be computed in O(1).