A method for reconstructing the image of an object from the measurement of its scattering
amplitude is developed for the case of acoustic wave scattering from an inhomogeneous …

Abstract In Mensa et al.(1983), a particular coherent tomographic technique was proposed
to determine the scattering strength density function g inside a body by suitably processing …

The purpose of this paper is to reappraise the linearizing methods frequently used to solve
inverse scattering problems. We describe inversion algorithms based on the Born and the …

The usual propagation transform of diffraction tomography is generalized into higher-order
(nonlinear) propagation transforms via use of the Born series as the data-generating model …

In this Chapter we introduce the concept of diffraction tomography as an inverse problem of
the Helmholtz equation with a complex unknown spatially varying coefficient. This type of …

This paper reviews diffraction tomography as it applies to electromagnetic and acoustical
imaging. We have discussed the various approximations that are used and shown their …

A reconstruction algorithm is derived for parallel beam transmission computed tomography
through two-dimensional structures in which diffraction of the insonifying beam must be …

A practical inversion algorithm based on the Fourier relation between scattered field data
and the scatterer is presented; this procedure attempts to go beyond the limitations of …

A unified theoretical framework based on the scalar wave equation is presented for
transmission tomography of weakly inhomogeneous objects embedded in a known uniform …

Several inversion algorithms for diffraction tomography have previously been provided in a
wide range of situations where the first-order Born or Rytov approximation fails. These …