A fast spectral domain approach for analyzing larger structures embedded in multilayered media

This contribution presents a new kind of fast spectral domain method for the characterization of planar structures in multilayered media. It uses the well-known spectral domain Green's function for multilayered media to construct a diagonalized translation operator on the Cartesian wavenumber plane. The bad convergence of the occuring spectral integrals is drastically improved by adapted complex integration path deformations combined with enhanced Legendre-Filon and Laguerre quadrature techniques. Due to the use of diakoptic preconditioners, only a small number of iterations are required with the pertinent Krylov subspace solvers.