New Immersed Interface Method for Scattering from Open Cavity Embedded in the Infinite Two-dimensional Ground Plane

In this paper, we focus on electromagnetic scattering from open cavity embedded in the infinite two-dimensional ground plane. In terms of the Green function, the open cavity scattering problem in infinite domain is reduced to the Helmholtz equations with transparent boundary condition in bounded region. Compact high-order method is applied for the discretization of the equation and the boundary. In the discontinuous interface of different medium, we construct a new immersed interface method, which requires only jump conditions for variables and their first derivatives. Numerical example and experimental results are presented to demonstrate the efficiency of the presented algorithm.