A Compressive-Sensing-Based Phaseless Imaging Method for Point-Like Dielectric Objects

We construct a linear system for the intrinsically nonlinear problem of imaging point-like dielectric scatterers with phaseless measurement, so as to adapt it to the emerging framework of compressive sensing (CS), within which the problem is solved by convex programming. Numerical experiments show that the exact internal constitution of the domain of interest in homogeneous or heterogeneous background can be efficiently reconstructed with good resolution.