An absorbing boundary condition (ABC) is an effective way to truncate
the domain of an unbounded electromagnetic scattering problem, to allo
w it to be solved by the finite element method. However, the boundary
on which the ABC is imposed must be separated from the scatterer by a
thick layer of space, which can be expensive to model with conventiona
l finite elements. The Wave-Envelope (WE) Method is here used to model
the layer of space much more cheaply. Results demonstrate the accurac
y and efficiency of this approach.