Two-dimensional optical diffraction tomography for objects embedded in a random medium

Starting from two-dimensional optical diffraction tomography (ODT) for an object embedded in a non-absorbing and non-scattering medium, we consider the case in which the object is embedded in a randomly scattering medium. We use the `effective wavenumber' K in the random medium and reasonable approximations to study both the forward problem and the inverse problem (i.e. the reconstruction of the object) and present relevant computer simulation results. For practical measurements of transmitted fields we discuss the possibility of using the coherent detection imaging (CDI) technique as a means of realizing ODT in a random medium.