A generalized reverse projection method for fan beam geometry under partially coherent illumination

In this paper, a generalized reverse projection (RP) method for grating-based fan beam phase contrast imaging is presented. Compared to the original RP method, rays rather than projection images are taken into account during the information extraction process. We also discuss the influence of partial coherence on the extracted information. Theoretical derivations and numerical simulations are performed to confirm the validity of the method.

► Fan beam geometry with geometrical magnification is used with the modified RP method.
► In the calculation of conjugate projection images, unitary ray is taken into account for fan beam geometry.
► We have considered the influence of the spatial coherence on the extracted information.
► The measurement range of the generalized RP method is enlarged by moving the sample close to the light source.