This paper presents a new numerical method for the solution of exterior Helmholtz scattering problems, which is applicable to inhomogeneous exterior domains and a wide class of geometries. The algorithm is based on the pole condition, which is a general radiation condition and allows a treatment of exterior Helmholtz problems without an explicit knowledge of Green's functions or a series representation. Our algorithm is based on a numerical approximation of the singularities of a Laplace transform of the exterior solution. Numerical examples illustrate the performance of the method. © 2007 Elsevier B.V. All rights reserved.
Schmidt, F., Hohage, T., Klose, R., Schädle, A., & Zschiedrich, L. (2008). Pole condition: A numerical method for Helmholtz-type scattering problems with inhomogeneous exterior domain. Journal of Computational and Applied Mathematics, 218(1), 61–69. https://doi.org/10.1016/j.cam.2007.04.046