Integral-equation formulations for a perfect conductor surface with open boundary

In this short paper, a strict combined field integral equation formulation is proposed to solve electromagnetic scattering from perfect electric conductor surfaces with open boundary. The core idea of this method is to combine the magnetic field integral equation for an open surface with the traditional electric field integral equation. The method of moments equations obtained here will be solved by both stationary and non-stationary iterative methods simultaneously for large electromagnetic problems. At each step of the stationary scheme, a well-conditioned matrix equation is fast solved by using a non-stationary iterative method. The present method attains much faster convergence of iterations than traditional electric field integral equation. Both the spectral property related to the non-stationary iteration and the spectral radius associated with the stationary iteration are reported in this paper. Numerical results provided show the validity and efficiency of the present method.