Image reconstruction from Fourier intensity through phase retrieval was investigated when the intensity was contaminated with Poisson noise. Although different initial conditions and/or the instability of the iterative phase retrieval process led to different reconstructed images, we found that the distribution of the resulting images in both the object and Fourier spaces formed spherical shell structures. Averaging of the images over the distribution corresponds to the position of the image at the sphere center.
© 2010 Optical Society of America
Original Manuscript: January 14, 2010
Revised Manuscript: February 26, 2010
Manuscript Accepted: March 5, 2010
Published: April 30, 2010
Hiroyuki Shioya, Yosuke Maehara, and Kazutoshi Gohara, "Spherical shell structure of distribution of images reconstructed by diffractive imaging," J. Opt. Soc. Am. A 27, 1214-1218 (2010)