Study of mixed-order basis functions for the locally corrected Nyström method

A high-order locally corrected Nyström (LCN) method employing the mixed-order basis functions proposed by C$80alιs$80kan and Peterson is presented for the electromagnetic scattering by targets composed of both dielectric and conducting bodies. An integral operator based on a combined field formulation for conducting surfaces and a Müller formulation for dielectric surfaces is used. It is found that for general scattering objects, mixed-order basis functions accelerate the convergence of the LCN solution, can eliminate spurious charges, and can significantly reduce the condition number of the impedance matrix.