Stabilized extended boundary condition method for 3D electromagnetic scattering from arbitrary random rough surfaces

The stabilized extended boundary condition method (SEBCM) is developed in this work based on the classical EBCM to solve 3D electromagnetic scattering from arbitrary random rough surfaces. The SEBCM gives accurate full wave solutions over large range of surface roughnesses, which are far beyond the validity range of analytical methods, and perform with much higher efficiency than numerical methods. In developing SEBCM, we explicitly impose test surfaces. We further propose a method for balancing and controlling the k-boundary. We validate the results with small slope approximation (SSA) and method of moments (MoM).