Frequency domain perfectly matched layers for acoustic scattering integral equation problems

In acoustic scattering simulations, unwanted reflections of the acoustic wavefield will occur when contrasts extend over the spatial boundaries of the numerical domain. One technique to suppress these reflections is to attenuate them in a locally, reflectionless absorbing boundary layer enclosing the spatial computational domain. This technique is commonly applied in FEM and FDTD simulations, and the layer is referred to as a Perfectly Matched Layer (PML). In this paper we will derive a PML formulation for the integral equation based acoustic scattering problem. The results of three-dimensional acoustic scattering simulations will be used to show its effectiveness.