OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 29, Iss. 9 — Sep. 1, 2012
  • pp: 1847–1859

Phase retrieval with random phase illumination

Albert Fannjiang and Wenjing Liao  »View Author Affiliations


JOSA A, Vol. 29, Issue 9, pp. 1847-1859 (2012)
http://dx.doi.org/10.1364/JOSAA.29.001847


View Full Text Article

Enhanced HTML    Acrobat PDF (2793 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

This paper presents a detailed numerical study on the performance of the standard phasing algorithms with random phase illumination (RPI). Phasing with high resolution RPI and the oversampling ratio σ=4 determines a unique phasing solution up to a global phase factor. Under this condition, the standard phasing algorithms converge rapidly to the true solution without stagnation. Excellent approximation is achieved after a small number of iterations, not just with high resolution but also low resolution RPI in the presence of additive as well multiplicative noises. It is shown that RPI with σ=2 is sufficient for phasing complex-valued images under a sector condition and σ=1 for phasing nonnegative images. The error-reduction algorithm with RPI is proved to converge to the true solution under proper conditions.

© 2012 Optical Society of America

OCIS Codes
(100.5070) Image processing : Phase retrieval
(170.1630) Medical optics and biotechnology : Coded aperture imaging
(340.7430) X-ray optics : X-ray coded apertures

ToC Category:
Image Processing

History
Original Manuscript: June 7, 2012
Manuscript Accepted: July 3, 2012
Published: August 15, 2012

Citation
Albert Fannjiang and Wenjing Liao, "Phase retrieval with random phase illumination," J. Opt. Soc. Am. A 29, 1847-1859 (2012)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-29-9-1847

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited