On the Nyström Solutions for Electromagnetic Scattering by Thin Conducting Objects

Solving electromagnetic (EM) problems with thin conducting objects by integral equation approach could encounter some unfavorable factors. The individual electric field integral equation (EFIE) and magnetic field integral equation (MFIE) may deteriorate the conditioning of matrix equations due to their degeneration when the thickness reduces. Also, there are more evaluations of near-singular integrals in filling the impedance matrix because the near interactions between observation points and source patches are common. In addition, many triangular meshes could have a high aspect ratio owing to the small thickness and this will present a difficulty for the accurate evaluation of self- and near-interaction elements. Aiming to these factors, we use the combined field integral equation (CFIE) as a governing equation and develop an efficient Nyström solver for the problems based on a singularity treatment technique without subdividing triangular patches. Typical numerical examples are presented to demonstrate its robustness.