Sensing using inverse multiple scattering with phaseless measurements

A method for determining an image of a distribution of permittivity of a material of an object in a scene, wherein the method uses a processor coupled with stored instructions implementing the method, wherein the instructions, when executed by the processor carry out steps of the method, comprising:

• propagating, using a transmitter, a known incident field through the scene;
• accepting, using a receiver, phaseless measurements of propagation of the known incident field scattered by the material of the object in the scene;
• solving a multi-variable minimization problem over unknown phases of the phaseless measurements and unknown image of the permittivity of the material of the object by minimizing a difference of a nonlinear function of the known incident field and the unknown image with a product of known magnitudes of the phaseless measurements and the unknown phases;
• estimating the permittivity of the material of the object based on the solution of the multi-variable minimization problem;
• generating the image of the distribution of permittivity of the material of the object in the scene based on the estimated permittivity;
• and
• rendering the image of the distribution of permittivity of the material of the object on a display device.