title: Reconstruction of complex-valued electron density with x-ray in-line holograms.
abstract: A reconstruction algorithm is proposed to analyze the complex-valued electron-density distribution in an object with x-ray in-line holograms. The real and imaginary parts of the electron density correspond to local variations of x-ray phase shift and absorption, respectively. In the algorithm, the least-squares error of the holograms is iteratively minimized under sign constraints on the real and imaginary parts. The constraints, which are derived from the physical conditions in the interaction between x rays and materials, facilitate robust reconstruction. The reconstruction was applied to holograms of a biological specimen that caused both phase shift and absorption.
authors.affiliation: Japan Synchrotron Radiation Research Institute, SPring-8, Hyogo, Japan. yamazaki@spring8.or.jp
authors.forename: Hiroshi
authors.initials: H
authors.lastname: Yamazaki
authors.forename: Yoshiki
authors.initials: Y
authors.lastname: Kohmura
authors.forename: Tatsuyuki
authors.initials: T
authors.lastname: Sakurai
authors.forename: Tetsuya
authors.initials: T
authors.lastname: Ishikawa