Multidimensional structure diffraction tomography for varying object orientation through generalised scattered waves

The author discusses the problem of n-dimensional (nD) structure diffraction tomography using nD plane waves as the excitation. It provides algorithms in the frequency and spatial domains for diffraction tomographic imaging of a rotating nD object for an arbitrary but fixed transmitter-receiver arrangement. Conventional 2D and 3D structure diffraction tomographies are its special cases. The algorithms presented here are valid for general transforms, including Born and Rytov transforms.