Phase retrieval as a power inflation problem

This paper deals with a novel approach to determine the far field of a discrete source starting from the knowledge of far-field intensity data sets only. In particular, by taking advantage from a body of knowledge from antenna synthesis, as well as from the exploitation of suitable norms, we are able to formulate the problem as the superposition of (many) convex problems. Such a circumstance allows (at least in principle) to avoid false solutions.