OSA's Digital Library

Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 45, Iss. 34 — Dec. 1, 2006
  • pp: 8596–8605

Complete wavefront reconstruction using sequential intensity measurements of a volume speckle field

Percival Almoro, Giancarlo Pedrini, and Wolfgang Osten  »View Author Affiliations

Applied Optics, Vol. 45, Issue 34, pp. 8596-8605 (2006)

View Full Text Article

Enhanced HTML    Acrobat PDF (1697 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The recording of the volume speckle field from an object at different planes combined with the wave propagation equation allows the reconstruction of the wavefront phase and amplitude without requiring a reference wave. The main advantage of this single-beam multiple-intensity reconstruction (SBMIR) technique is the simple experimental setup because no reference wave is required as in the case of holography. The phase retrieval technique is applied to the investigation of diffusely transmitting and reflecting objects. The effects of different parameters on the quality of reconstructions are investigated by simulation and experiment. Significant enhancements of the reconstructions are observed when the number of intensity measurements is 15 or more and the sequential measurement distance is 0.5   mm or larger. Performing two iterations during the reconstruction process using the calculated phase also leads to better reconstruction. The results from computer simulations confirm the experiments. Analysis of transverse and longitudinal intensity distributions of a volume speckle field for the SBMIR technique is presented. Enhancing the resolution method by shifting the camera a distance of a half-pixel in the lateral direction improves the sampling of speckle patterns and leads to better quality reconstructions. This allows the possibility of recording wave fields from larger test objects.

© 2006 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(030.6140) Coherence and statistical optics : Speckle
(050.1960) Diffraction and gratings : Diffraction theory
(090.0090) Holography : Holography
(100.3010) Image processing : Image reconstruction techniques
(100.5070) Image processing : Phase retrieval

ToC Category:
Image Processing

Original Manuscript: May 30, 2006
Manuscript Accepted: August 2, 2006

Percival Almoro, Giancarlo Pedrini, and Wolfgang Osten, "Complete wavefront reconstruction using sequential intensity measurements of a volume speckle field," Appl. Opt. 45, 8596-8605 (2006)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. L. Yaroslavsky, Digital Holography and Digital Image Processing: Principles, Methods, Algorithms (Kluwer, 2004).
  2. P. K. Rastogi, Digital Speckle Pattern Interferometry and Related Techniques (Wiley, 2001).
  3. A. Barty, K. A. Nugent, D. Paganin, and A. Roberts, "Quantitative optical phase microscopy," Opt. Lett. 23, 817-819 (1998). [CrossRef]
  4. J. Wu, U. Weierstall, and J. C. H. Spence, "Diffractive electron imaging of nanoparticles on a substrate," Nat. Mater. 4, 912-916 (2005). [CrossRef] [PubMed]
  5. R. W. Gerchberg and W. O. Saxton, "A practical algorithm for the determination of phase from image and diffraction plane pictures," Optik (Stuttgart) 35, 237-246 (1972).
  6. G. Yang, B. Dong, B. Gu, J. Zhuang, and O. K. Ersoy, "Gerchberg-Saxton and Yang-Gu algorithms for phase retrieval in a nonunitary transform system: a comparison," Appl. Opt. 33, 209-218 (1994). [CrossRef] [PubMed]
  7. J. R. Fienup, "Phase retrieval algorithms: a comparison," Appl. Opt. 21, 2758-2769 (1982). [CrossRef] [PubMed]
  8. M. R. Teague, "Deterministic phase retrieval: a Green's function solution," J. Opt. Soc. Am. 73, 1434-1441 (1983). [CrossRef]
  9. C. J. R. Sheppard, "Three-dimensional phase imaging with the intensity transport equation," Appl. Opt. 41, 5951-5955 (2002). [CrossRef] [PubMed]
  10. E. Kolenovic, "Correlation between intensity and phase in monochromatic light," J. Opt. Soc. Am. A 22, 899-906 (2005). [CrossRef]
  11. G. Liu and P. D. Scott, "Phase retrieval and twin-image elimination for in-line Fresnel holograms," J. Opt. Soc. Am. A 4, 159-165 (1987). [CrossRef]
  12. Y. Zhang, G. Pedrini, W. Osten, and H. Tiziani, "Whole optical wave field reconstruction from double or multi in-line holograms by phase retrieval algorithm," Opt. Express 11, 3234-3241 (2003). [CrossRef] [PubMed]
  13. Y. Zhang, G. Pedrini, W. Osten, and H. Tiziani, "Image reconstruction for in-line holography with Yang-Gu algorithm," Appl. Opt. 42, 6452-6457 (2003). [CrossRef] [PubMed]
  14. G. Pedrini, W. Osten, and Y. Zhang, "Wave-front reconstruction from a sequence of interferograms recorded at different planes," Opt. Lett. 30, 833-835 (2005). [CrossRef] [PubMed]
  15. J. Kornis and B. Gombköto;, "Application of super image methods in digital holography," in Optical Measurement Systems for Industrial Inspection IV, W. Osten, C. Gorecki, and E. L. Novak, eds., Proc. SPIE 5856, 245-253 (2005). [CrossRef]
  16. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1996).
  17. I. Freund and D. A. Kessler, "Phase autocorrelation of random wave fields," Opt. Commun. 124, 321-332 (1996). [CrossRef]
  18. Q. B. Li and F. P. Chiang, "Three-dimensional dimension of laser speckle," Appl. Opt. 31, 6287-6291 (1992). [CrossRef] [PubMed]
  19. J. W. Goodman, Statistical Optics (Wiley, 1985).

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