INVERSE SCATTERING USING A VARIATIONAL PRINCIPLE

A variational principle for the scattering amplitude is applied to obt ain a relationship, in the Fourier domain, between the scattering pote ntial and the scattered held recorded over a measurement line outside the potential. This relationship leads to a novel iterative reconstruc tion algorithm for recovering the distribution of the index of refract ion from measurements of the scattered field. The proposed technique u ses and builds upon the well-known filtered backpropagation algorithm of diffraction tomography. Computer simulations are presented that com pare the reconstructions obtained with the proposed algorithm to the o nes obtained with Born's approximation.