ACOUSTICAL TOMOGRAPHY BASED ON THE 2ND-ORDER BORN TRANSFORM PERTURBATION APPROXIMATION

In this paper, reconstruction algorithms and their numerical examples of acoustical tomography based on the second-order Born transform pert urbation approximation are presented, The reconstruction algorithms in the second-order Born approximation are similar in form to those in t he first-order Born approximation, Replacing the angular spectrum of t he scattered wave in the first-order case by the result of applying a first-order operator to the angular spectrum of the scattered wave or applying a second-order operator to the angular spectrum of the incide nt wave leads to the second-order reconstruction algorithms, Also, com parisons of reconstruction algorithms of the first- and second-order B orn approximations are given, and they show that the second-order Born approximation algorithms have a distinct advantage over the first-ord er approximations in many cases.