A method of reconstructing the complex amplitude of an object that is illuminated by a coherent wave from its Fresnel diffraction patterns is proposed for high-frequency wave phenomena such as x-rays and electron waves. A noniterative phase-retrieval method that uses a Gaussian filter is employed here, and it is shown that the object’s illumination with amplitude distribution in the Fraunhofer diffraction pattern of a circular aperture can be used as a substitute for the Gaussian filter. This method has an advantage over other noniterative phase-retrieval methods in that it can retrieve phase vortices.
© 2004 Optical Society of America
Original Manuscript: August 8, 2003
Revised Manuscript: September 28, 2003
Published: March 10, 2004
Nobuharu Nakajima, "Lensless imaging from diffraction intensity measurements by use of a noniterative phase-retrieval method," Appl. Opt. 43, 1710-1718 (2004)