Om. Bucci et al., An effective near-field far-field transformation technique from truncated and inaccurate amplitude-only data, IEEE ANTENN, 47(9), 1999, pp. 1377-1385
A general approach to the near-held far-field transformation from amplitude
only near-field data is presented. The estimation of the far field is stat
ed as an intersection finding problem and is solved by the minimization of
a suitable functional. The difficulties related to the possible trapping of
the algorithm by a false solution (common to any nonlinear inverse problem
) are mitigated by setting the problem in the space of the squared field am
plitudes (as already done in a number of existing papers) and by incorporat
ing all the a priori knowledge concerning the system under test in the form
ulation of the problem. Accordingly, the a priori information concerning th
e far field, the near field outside the measurement region and the accuracy
of the measurement setup and its dynamic range are properly taken into acc
ount in the objective functional. The intrinsic ill conditioning of the pro
blem is managed by adopting a general, flexible, and nonredundant sampling
representation of the field, which takes into account the geometrical chara
cteristics of the source. As a consequence, the number of unknowns is minim
ized and a technique is obtained, which easily matches the available knowle
dge concerning the behavior of the field. The effectiveness of the approach
is shown by reporting the main results of an extensive numerical analysis,
as well as an experimental validation performed by using a very low cost n
ear-field facility available at the Electronic Engineering Department, Univ
ersity of Napoli, Italy.