On the sampling of electromagnetic fields

We address the problem of extracting the maximum amount of information on an electromagnetic field over a domain D_O from field samples on a domain D_I, with a priori information on the radiating source. The problem is faced in two steps. In the first one, the source reconstruction is dealt with by taking into account the available a priori information and the optimal probe positioning is determined as that optimizing the singular value dynamics of the involved linear radiation operator. The second step consists of reconstructing the field on D_O as that radiated by the retrieved source. Numerical results highlight the performance of the approach.