A Fast Spectral Domain Solver for the Characterization of Larger Microwave Structures in Multilayered Environments
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A Fast Spectral Domain Solver for the Characterization of Larger Microwave Structures in Multilayered EnvironmentsAbstract
A new kind of fast spectral domain method is presented for the solution of integral equations related to planar structures embedded in multilayered media. It is based on the well-known spectral domain Green’s function for multilayered media to construct a diagonalized translation operator on the Cartesian wavenumber plane to efficiently evaluate the matrix-vector multiplications during the iterative solution process. This allows fast integral equation solutions for arbitrary layer arrangements similar as with fast multipole methods (FMM) for structures in free space. The convergence properties of the involved spectral domain integrals related to the group interactions are drastically improved by different integration path deformation strategies combined with enhanced Legendre- Filon and Laguerre quadrature techniques. Together with the use of diakoptic preconditioners, only a small number of iterations are required with the pertinent Krylov subspace solvers, typically leading to a significantly higher computational performance than comparable commercial integral equation solvers.
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