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A fast space-spectral domain solver for quasi-3D structures with arbitrary vertical conductors in multilayered media

: Vaupel, T.


International Union of Radio Science -URSI-:
URSI International Symposium on Electromagnetic Theory, EMTS 2010 : 16 - 19 Aug. 2010, Berlin
Piscataway: IEEE, 2010
ISBN: 978-1-4244-9687-7
ISBN: 978-1-4244-5153-1
ISBN: 978-1-4244-5154-8
International Symposium on Electromagnetic Theory (EMTS) <20, 2010, Berlin>
Fraunhofer FHR

This contribution deals with a surface/volume integral equation formulation for the characterization of quasi-3D structures in multilayered media where the vertical conductors can cross an arbitrary number of layers. The vertical volume currents used for the modeling of the vertical conductors of the quasi-3D components are incorporated by extended spectral domain Green's functions derived by analytical integrations over the vertical direction and by a summation over the Cartesian wavenumbers which must be computed only once and stored in a database. With this database and a combination approach for the matrix filling process, also complex quasi-3D structures can be analyzed with the same performance than pure planar structures. The approach is also well-suited for the set up of a fast solver with similar properties than fast multipole approaches in free space.