Spectral Domain Techniques for the Fast and Accurate Solution of Larger Microwave and Thin Layer Structures

摘要

Several spectral domain techniques for a surface/volume integral equation solver are presented for analysis and design of rf- and microwave structures in multilayered media. These techniques are based on the evaluation of spectral integrals formulated on the Cartesian wavenumber plane using several kinds of integration path deformations for singularity circumvention and for convergence acceleration. Furthermore new quadrature rules are employed, which are adapted to highly oscillatory and/or decaying integrands. For large structures these techniques are combined with a diagonalized translation operator for the efficient evaluation of matrix-vector products during the iterative solution process. This allows fast integral equation solutions for larger structures embedded in arbitrary layer arrangements similar as with fast multipole methods (FMM) in free space. Similar spectral integral representations are also used for the calculation of the explicit system matrix containing the near-field interactions or for structures treated with the standard method of moments (MoM), where a combination with an asymptotic extraction technique is used. Comparisons with comparable commercial software tools have shown a significantly higher computational performance and reliability.