This paper aims to introduce a phaseless near-field-far-field (NF-FF) transformation with planar wide-mesh scanning (PWMS) and to give a numerical validation of the technique. The here considered NF-FF transformation, based on a non-redundant sampling representation of the electromagnetic field developed by modeling the antenna under test (AUT) with a double bowl, allows to achieve a remarkable reduction (about 90%) of needed NF samples, as compared to standard λ/4 sampling. The reliability and stability of the phase retrieval problem is improved exploiting a proper representation of the unknowns and the a priori information on the AUT. Numerical results, assessing the proposed characterization technique, are shown