Phase retrieval procedure for microwave linear arrays

A methodology to solve the phase retrieval problem arising in microwave linear array is proposed. The goal is to recover the complex array excitations from phaseless measurements of the far field. An approach combining convex optimization (to solve the phase retrieval problem) and two measurement runs (to mitigate the ambiguity problem) has been developed and numerically assessed in various representative examples. These results show that under appropriate conditions of noise and sampling, it is possible to uniquely retrieve the complex excitations of linear arrays from phaseless measurements.