On the higher-order approximations for efficient computational electromagnetics

In this work we propose an efficient procedure to obtain Loop and Star basis functions useful to the Surface Integral Equation. They are of any order, for 3D curved surfaces, and they keep the solenoidal/non-solenoidal splitting, improving the performance for low-frequency (near field). The approach incorporates a coordinate transformation to cancel out the weak singularity of Electric Field Integral Equation (EFIE) which is also capable to cope with the issue of the nearly singularities.