Accurate Nyström Solution for Electromagnetic Scattering by Zero-Thickness Conducting Objects

A Nystrom method is proposed to solve the electromagnetic (EM) scattering by zero-thickness conducting objects. The problem is formulated through the electric field integral equation (EFIE) so that the current density on the two opposite sides can be summed up and assigned to one of sides. Since the dominant component of current density near a boundary tends to be infinite, it is challenging to accurately model and more robust singularity treatment is required. The Nystrom method has presented certain merits compared with the traditional method of moments (MoM), but has seldom been used to solve such problems. In this paper, efficient analytical formulas are derived to evaluate singular integrals so as to facilitate the implementation of Nystrom method and a CPU parallelization scheme is used to accelerate the matrix filling process. Two numerical examples are provided to demonstrate the approach.