We want to reconstruct equivalent sources on a “reconstruction surface” ΣR that encloses a volume Ω where the equipment under test (EUT) lies; the EUT encompasses the antenna(s) and possible neighboring scatterers, as need in the application of interest. We employ the equivalence theorem to represent the fields outside the reconstruction surface ΣR and on it. Note that it is typically desirable or necessary to place this surface not on metals (even when the antenna is metallic), and the employed technique must account for this more general case. These equivalent sources are next computed under the stipulation that they radiate the same fields as measured on a given measurement surface ΣM. The formulation is based on a new approach presented in, which employs two integral equations instead of the usual single equation. It has been shown that unlike the standard approach in the literature (e.g.) this approach yields Love's currents on the surface (that is, fields) and has an added stability that, under proper application, does not require external (low-pass) regularization.