FDTD Schemes for Maxwell’s Equations with Embedded Perfect Electric Conductors Based on the Correction Function Method

In this work, we propose staggered FDTD schemes based on the correction function method (CFM) to discretize Maxwell’s equations with embedded perfect electric conductor boundary conditions. The CFM uses a minimization procedure compute given FD scheme in vicinity of retain its order. problem associated approaches is analyzed context boundaries. order obtain well-posed problem, fictitious interfaces fulfill lack information, namely surface current and charge density, boundary. We introduce CFM-FDTD well-known Yee fourth-order scheme. investigate stability these using long time simulations. Convergence studies are performed 2-D for various geometries have shown high-order convergence.