Analysis and numerical solution of transient electromagnetic scattering from two cavities

This paper presents a finite-element boundary integral method to model transient scattering from two cavities embedded in a ground plane. Multiple-cavity scattering in the time domain both increases the computational complexity of the scattering problem and introduces cross-talk between scatterers. By modeling the cavities together, coupling effects are enforced directly and multiple reflections are readily observable. The variational formulation is shown to be well-posed for each time step and a stable numerical implementation for rectangular cavities is demonstrated.