Electromagnetic scattering from perturbed surfaces

This paper studies the scattering of electromagnetic waves from a (local) perturbation of a fixed surface, the boundary of a given obstacle in R3. The goal is to produce an algorithm for solving boundary value problems in the exterior of the perturbed domain solely based on the knowledge of the Green function for the original surface. This is done by solving a boundary integral equation which only involves the perturbed portion of the boundary.