OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 2 — Jan. 23, 2006
  • pp: 498–508

Lensless coherent imaging by phase retrieval with an illumination pattern constraint

James R. Fienup  »View Author Affiliations

Optics Express, Vol. 14, Issue 2, pp. 498-508 (2006)

View Full Text Article

Enhanced HTML    Acrobat PDF (1181 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



It is often possible to reduce the requirements on an imaging system by placing greater demands either on an illumination system or on post-detection processing of the data collected by the system. An extreme example of this is a system with no receiver optics whatsoever. By illuminating an object or scene with coherent light having a shaped illumination pattern, the receiver can be a simple detector array with no imaging optics, detecting the speckle intensity pattern reflected from the object; an image of the object can be reconstructed by a phase retrieval algorithm.

© 2006 Optical Society of America

OCIS Codes
(100.0100) Image processing : Image processing
(100.3010) Image processing : Image reconstruction techniques
(100.3190) Image processing : Inverse problems
(100.5070) Image processing : Phase retrieval
(110.0110) Imaging systems : Imaging systems

ToC Category:
Focus issue: Signal recovery and synthesis

James R. Fienup, "Lensless coherent imaging by phase retrieval with an illumination pattern constraint," Opt. Express 14, 498-508 (2006)

Sort:  Journal  |  Reset  


  1. E.N. Leith and J. Upatnieks, "Reconstructed Wavefronts and Communication Theory," J. Opt. Soc. Am. 52, 1123-1130 (l962). [CrossRef]
  2. J.W. Goodman, Introduction to Fourier Optics, 2nd Ed. (McGraw-Hill, San Francisco, l996).
  3. P.S. Idell, J.R. Fienup and R.S. Goodman, "Image Synthesis from Nonimaged Laser Speckle Patterns," Opt. Lett. 12, 858-860 (1987). [CrossRef] [PubMed]
  4. J.R. Fienup and P.S. Idell, "Imaging Correlography with Sparse Arrays of Detectors," Opt. Engr. 27, 778-784 (1988).
  5. R.G. Paxman, J.R. Fienup, M.F. Reiley, and B.J. Thelen, "Phase Retrieval with an Opacity Constraint in LAser IMaging (PROCLAIM)," in Technical Digest on Signal Recovery and Synthesis 6 (Optical Society of America, Washington, D.C., 1998), pp. 34-36.
  6. J.R. Fienup, "Reconstruction of a Complex-Valued Object from the Modulus of Its Fourier Transform Using a Support Constraint," J. Opt. Soc. Am. A 4, 118-123 (1987). [CrossRef]
  7. J.N. Cederquist, J.R. Fienup, J.C. Marron and R.G. Paxman, "Phase Retrieval from Experimental Far-Field Data," Opt. Lett. 13, 619-621 (1988). [CrossRef] [PubMed]
  8. T.R. Crimmins, J.R. Fienup and B.J. Thelen, "Improved Bounds on Object Support from Autocorrelation Support and Application to Phase Retrieval," J. Opt. Soc. Am. A 7, 3-13 (1990). [CrossRef]
  9. J.R. Fienup and A.M. Kowalczyk, "Phase Retrieval for a Complex-Valued Object by Using a Low-Resolution Image," J. Opt. Soc. Am. A 7, 450-458 (1990). [CrossRef]
  10. R.G. Paxman, J.R. Fienup and J.T. Clinthorne, "Effect of Tapered Illumination and Fourier Intensity Errors on Phase Retrieval," in Digital Image Recovery and Synthesis, Proc. SPIE 828-28 (1987), pp. 184-189.
  11. J.R. Fienup and C.C. Wackerman, "Phase Retrieval Stagnation Problems and Solutions," J. Opt. Soc. Am. A 3, 1897-1907 (1986). [CrossRef]
  12. J.R. Fienup, "Reconstruction of Objects Having Latent Reference Points," J. Opt. Soc. Am. 73, 1421-1426 (l983). [CrossRef]
  13. T.R. Crimmins, "Phase Retrieval for Discrete Functions with Support Constraints," J. Opt. Soc. Am. A 4, 124-34 (1987). [CrossRef]
  14. Yu.M. Bruck and L.G. Sodin, "On the Ambiguity of the Image Reconstruction Problem," Opt. Commun. 30, 304-308 (l979) [CrossRef]
  15. T.R. Crimmins and J.R. Fienup, "Uniqueness of Phase Retrieval for Functions with Sufficiently Disconnected Support," J. Opt. Soc. Am. 73, 218-221 (l983) . [CrossRef]
  16. J.R. Fienup, "Phase Retrieval Algorithms: A Comparison," Appl. Opt. 21, 2758-2769 (1982). [CrossRef] [PubMed]
  17. J.R. Fienup, "Phase-Retrieval Algorithms for a Complicated Optical System," Appl. Opt. 32, 1737-1746 (1993). [CrossRef] [PubMed]
  18. A. Tippie and J.R. Fienup, "X-Ray Diffraction Imaging Methods using Phase Retrieval Methods," REU Presentation, University of Rochester, August 6, 2004
  19. J.R. Fienup, "Coherent Imaging with Illumination Optics Designed for the Reconstruction Algorithm," Proceedings of the Frontiers in Optics 2004 (Annual Meeting of the Optical Society of America), October 2004, paper FTuO4.
  20. J.R. Fienup, "Lensless Coherent Imaging with Shaped Illumination and Phase-Retrieval Image Reconstruction," in Computational Optical Sensing and Imaging, Topical Meeting of the Optical Society of America (June 2005), paper JMA1.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited