We present a solution to the phase problem in near-field x-ray (propagation) imaging. The
three-dimensional complex-valued index of refraction is reconstructed from a set of …

Recently, Wolf has shown that the phase measurement associated with fields that are not
monochromatic, which is relevant for all x-ray structure investigations, must be properly …

X-ray propagation-based phase-contrast imaging is an attractive phase-sensitive imaging
technique that has found applications in many research fields. Here, we report the …

We outline some basics of imaging using both fully-coherent and partially-coherent X-ray
beams, with an emphasis on phase-contrast imaging. We open with some of the basic …

The attenuation of x-rays in a material forms the basis of x-ray radiography and tomography.
By measuring the transmission of the x-rays over a large amount of raypaths, the three …

Phase retrieval is the key to quantitative x-ray phase-contrast imaging. To retrieve the phase
image of an x-ray wave field, in general one needs multiple phase-contrast images. We …

A well‐known problem in x‐ray microcomputed tomography is low sensitivity. Phase contrast
imaging offers an increase of sensitivity of up to a factor of in the hard x‐ray region, which …

X-ray phase contrast imaging based on free space propagation relies on phase retrieval to
obtain sharp images of micro-and nanoscale objects, with widespread applications in …

In-line phase-contrast X-ray imaging provides images where both absorption and refraction
contribute. For quantitative analysis of these images, the phase needs to be retrieved …

For coherent X-ray imaging of pure phase objects we study the reliability of linear relations
in phase-retrieval algorithms based on a single intensity map after free-space propagation …