Ea. Marengo et Aj. Devaney, The inverse source problem of electromagnetics: Linear inversion formulation and minimum energy solution, IEEE ANTENN, 47(2), 1999, pp. 410-412
We address the inverse source problem of finding the time-harmonic current
distribution (source) with minimum L-2 norm (minimum energy) that generates
a prescribed electromagnetic field outside the source's region of support.
Using the well-known multipole expansion of the electromagnetic field we c
ompute (via a Linear operator formalism) the sought-after minimum L2 norm-c
urrent distribution consistent with the data.