New formulations for the hybrid meshless‐MoM method applied to 2D scattering problems

In this work, new formulations for the hybrid meshless‐method of moments technique are presented. The proposed approaches are applied for solving 2D electromagnetic scattering problems. The solution is obtained by dividing the problem into 2 subproblems: one internal to the scatterer and another external to it. For the internal subproblem, the meshless method is used for solving the weak form of the 2D Helmholtz equation. For the external subproblem, the Method of Moments is used for solving different combinations of electric field integral equation and magnetic field integral equation. Both subproblems are coupled by imposing the continuity of the tangential fields over the scatterer surface. The technique is applied for solving the TMz electromagnetic scattering by an infinite dielectric cylinder. Numerical and analytical results are compared to each other showing the validity and accuracy of the proposed approaches.