Numerical Solution of Electromagnetic Scattering Problems Based on the Dirichlet-to-Neumann Map

This paper presents an efficient technique to evaluate the electromagnetic field scattered from an object of arbitrary shape, illuminated by an external field. The scattering problem is numerically solved in a bounded solution domain by using the Dirichlet-to-Neumann map. In this way, exact boundary conditions may be imposed in the closing boundary of the solution domain, even when located on close proximity of the scatterer. The method is compared to classical approaches used to truncate the solution domain, based on approximating the absorbing boundary conditions. Case-studies demonstrate the accuracy and the computational advantage of the proposed technique.