A singular value-based preconditioner for large scattering problems

We focus on scattering problems involving a set of two dimensional conducting cylinders, with non-overlapping boundary contours. These cylinders are assumed to be illuminated by a TM polarized plane wave with time dependency exp(j/spl omega/t). We examine to what extent the singular value decomposition (SVD) can form the basis for an efficient matrix transformation in the case where small, non-smooth structures are involved. Such a matrix transformation will be restricted by large computational requirements, but the presented technique is shown to be particularly useful in design problems, where the optimal position of a number of geometrically similar scattering elements needs to be established.