Phase retrieval for in-line hard x-ray phase-contrast imaging with the Yang-Gu algorithm

X-ray phase-contrast imaging is an important diagnostic tool in medicine, biology and materials science. In-line hard x-ray phase-contrast imaging is based on Fresnel diffraction of x-ray, therefore we propose to make phase retrieval calculations between arbitrary planes interrelated through the Fresnel domain. A new approach to the numerical reconstruction of object phase by the diffraction intensity for in-line x-ray phase-contrast imaging is presented. The new method is tested on simulated image and the results demonstrate the validity of this new approach.