On the Formulation and Implementation of the Love's Constraint for the
Source Reconstruction Method
Abstract
The formulation and implementation of the Love’s condition constraint
for the source reconstruction method (SRM) in near-field antenna
measurements is analyzed in the context of inverse problems. To this
end, the SRM is first analyzed to identify the non-unique or
non-radiating current sources which may be present. Next, the advantages
and disadvantages of general regularization techniques, which may
address the non-radiating currents, are presented which serve to
motivate the use of the Love’s condition constraint. The main methods of
formulating the constraint are then presented, one of which is a novel
technique developed for this paper. Following this, the formulation
methods are analyzed in order to predict the similarities and
differences of the methods in the context of addressing the
non-radiating currents of the SRM. This analysis is reinforced by
simulated antenna measurements. In particular, the novel formulation
method is demonstrated to provide greater reconstruction accuracy (in
the examples considered), at the cost of computational complexity.