Field reconstruction on a plane from nonuniformly spaced plane-polar samples via a SVD based approach

The Singular Value Decomposition (SVD) technique is extended to the reconstruction of the radiated field on a planar surface from the knowledge of its nonuniformly spaced samples having a plane-polar arrangement. First, SVD is used to evaluate the uniformly distributed samples, whose position is fixed by a nonredundant sampling representation of the field. Second, the field at any observation point is efficiently obtained by applying the Optimal Sampling Interpolation (OSI) expansion of central type.