The complexity of radiofrequency technologies used in smartphones and tablets has considerably increased the need for more efficient Specific Absorption Rate assessment approaches. SAR measurement systems covered by IEC 62209-3 which implement vector near-field techniques appear as the most promising alternatives to legacy robot equipment. While showing the benefits of Maxwellian field reconstruction compared to more simplistic fast SAR extrapolations, this paper presents the new angle of view that amplitude and phase measurements combined with near-field transforms introduce in RF dosimetry.