Far field reconstruction from phaseless measurement data

A new method on phase inverse problem in near field far field transformation is presented in this paper. It makes the relation very clear between phase and amplitude on a curve surface and another surface by describing the relation of the fields on two closed curve surfaces by matrix. Comparing with the other created functionals, the functional based on this method belongs in real space rather than complex space, its form is simple and it is easy to deal with. The relation between two sets of near field is consided while creating the functional, so it enlightens greatly work of the data processing. The conjugate gradient method (CGM) is taken to minimize the object functional, An analytical model validates the feasibilities of the theory and the algorithm.