Abstract
In this paper we introduce a sampling scheme based on the application of
an inverse source problem approach to the far field radiated by a
conformal current source. The regularized solution of the problem
requires the computation of the Singular Value Decomposition (SVD) of
the relevant linear operator, leading to introduce the Point Spread
Function in the observation domain, which can be related to the
capability of the source to radiate a focusing beam. Then, the
application of the Kramer generalized sampling theorem allows
introducing a non-uniform discretization of the angular observation
domain, tailored to each source geometry. The nearly optimal property of
the scheme is compared with the best approximation achievable under a
regularized inversion of the pertinent SVD. Numerical results for
different two-dimensional curve sources show the effectiveness of the
approach with respect to standard sampling approaches with uniform
spacing, since it allows to reduce the number of sampling points of the
far field.