Diffraction tomography with multiple scattering

Le résumé fourni par la source

A method for reconstructing the image of loss-less object from the measurement of its scattering amplitude is developed for the case of acoustic wave scattering from an inhomogeneous medium consisting of velocity fluctuations (Helmholtz equation). The inversion procedure is exact, and explicitly takes into account all orders of multiple scattering. An interesting feature is that progressively higher resolution of the recovered object is obtained as higher order scattering is progressively incorporated into the inversion procedure. Essentially, the inversion technique, which is based on a consideration of the analyticity properties of the scattering amplitude in the complex scattering angle domain, recovers the Laplace domain representation of the interaction from the angle-scattered data. Although the method described here assumes rotational symmetry, the technique is essentially three-dimensional. However, the method suffers from the disadvantage that the analytic continuation procedures it depends on would be noise sensitive, in practice.

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