Phaseless antenna characterization at millimeterwave frequencies is an awkward task for a number of reasons. First, suitable network analyzers appropriately working at a high frequency, as well as a complex hardware ensuring high positioning and alignment accuracies, are required. Furthermore, the characterization algorithm should be reliable and accurate and should require a reasonable measurement time, which is a key issue in the millimeter and submillimeter ranges. In this paper, we present an efficient algorithm that faces this problem by exploiting the available a priori information on the shape and size of the antenna. The reliability, accuracy, and stability of the approach reside on “effective” expansions of the unknown ap...