OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 49, Iss. 27 — Sep. 20, 2010
  • pp: 5087–5094

Quantization analysis of speckle intensity measurements for phase retrieval

Anne Margarette S. Maallo, Percival F. Almoro, and Steen G. Hanson  »View Author Affiliations


Applied Optics, Vol. 49, Issue 27, pp. 5087-5094 (2010)
http://dx.doi.org/10.1364/AO.49.005087


View Full Text Article

Enhanced HTML    Acrobat PDF (907 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Speckle intensity measurements utilized for phase retrieval (PR) are sequentially taken with a digital camera, which introduces quantization error that diminishes the signal quality. Influences of quantization on the speckle intensity distribution and PR are investigated numerically and experimentally in the static wavefront sensing setup. Results show that 3 to 4 bits are adequate to represent the speckle intensities and yield acceptable reconstructions at relatively fast convergence rates. Computer memory requirements may be eased down by 2.4 times if a 4 bit instead of an 8 bit camera is used. This may facilitate rapid speckle data acquisition for dynamic wavefront sensing.

© 2010 Optical Society of America

OCIS Codes
(010.7350) Atmospheric and oceanic optics : Wave-front sensing
(030.6140) Coherence and statistical optics : Speckle
(100.3010) Image processing : Image reconstruction techniques
(100.5070) Image processing : Phase retrieval
(110.2970) Imaging systems : Image detection systems
(280.4788) Remote sensing and sensors : Optical sensing and sensors

ToC Category:
Image Processing

History
Original Manuscript: July 10, 2009
Revised Manuscript: August 14, 2010
Manuscript Accepted: August 16, 2010
Published: September 14, 2010

Citation
Anne Margarette S. Maallo, Percival F. Almoro, and Steen G. Hanson, "Quantization analysis of speckle intensity measurements for phase retrieval," Appl. Opt. 49, 5087-5094 (2010)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-49-27-5087


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. O. Skydan, F. Lilley, M. Lalor, and D. Burton, “Quantization error of CCD cameras and their influence on phase calculations in fringe pattern analysis,” Appl. Opt. 42, 5302–5307(2003). [CrossRef] [PubMed]
  2. A. Shortt, T. Naughton, and B. Javidi, “A companding approach for nonuniform quantization of digital holograms of three dimensional objects,” Opt. Express 14, 5129–5134(2006). [CrossRef] [PubMed]
  3. S. Yang and H. Takajo, “Quantization error reduction in the measurement of Fourier intensity for phase retrieval,” Jpn. J. Appl. Phys. 43, 5747–5751 (2004). [CrossRef]
  4. M. Guizar-Sicairos and J. R. Fienup, “Measurement of coherent x-ray focused beams by phase retrieval with transverse translation diversity,” Opt. Express 17, 2670–2685 (2009). [CrossRef] [PubMed]
  5. P. Bao, F. Zhang, G. Pedrini, and W. Osten, “Phase retrieval using multiple illumination wavelengths,” Opt. Lett. 33, 309–311 (2008). [CrossRef] [PubMed]
  6. P. F. Almoro and S. G. Hanson, “Random phase plate for wavefront sensing via phase retrieval and a volume speckle field,” Appl. Opt. 47, 2979–2987 (2008). [CrossRef] [PubMed]
  7. P. F. Almoro, P. N. Gundu, and S. G. Hanson, “Numerical correction of aberrations via phase retrieval with speckle illumination,” Opt. Lett. 34, 521–523 (2009). [CrossRef] [PubMed]
  8. P. F. Almoro, G. Pedrini, A. Anand, W. Osten, and S. G. Hanson, “Angular displacement and deformation analyses using a speckle-based wavefront sensor,” Appl. Opt. 48, 932–940 (2009). [CrossRef] [PubMed]
  9. P. Almoro, A. Maallo, and S. Hanson, “Fast-convergent algorithm for speckle-based phase retrieval and a design for dynamic wavefront sensing,” Appl. Opt. 48, 1485–1493 (2009). [CrossRef] [PubMed]
  10. C. Falldorf, M. Agour, C. v. Kopylow, and R. B. Bergmann, “Phase retrieval by means of a spatial light modulator in the Fourier domain of an imaging system,” Appl. Opt. 49, 1826–1830 (2010). [CrossRef] [PubMed]
  11. M. Schirmer, M. Fujio, M. Minami, J. Miura, T. Araki, and T. Yasui, “Biomedical applications of a real-time terahertz color scanner,” Biomed. Opt. Express 1, 354–366 (2010). [CrossRef]
  12. M. Možina, D. Tomaževiča, S. Lebenc, F. Pernuš, and B. Likara, “Digital imaging as a process analytical technology tool for fluid-bed pellet coating process,” Euro. J. Pharm. Sci. 41, 156–162 (2010). [CrossRef]
  13. T. Naughton, Y. Frauel, B. Javidi, and E. Tajahuerce, “Compression of digital holograms for three-dimensional object reconstruction and recognition,” Appl. Opt. 41, 4124–4132 (2002). [CrossRef] [PubMed]
  14. B. Zhao and Y. Surrel, “Effect of quantization error on the computed phase of shifting measurements,” Appl. Opt. 36, 2070–2075 (1997). [CrossRef] [PubMed]
  15. B. Zhao, “Effect of intensity-correlated error due to quantization and noise on phase-shifting method,” Opt. Lasers Eng. 28, 199–211 (1997). [CrossRef]
  16. G. Mills and I. Yamaguchi, “Effects of quantization in phase-shifting digital holography,” Appl. Opt. 44, 1216–1225(2005). [CrossRef] [PubMed]
  17. I. Yamaguchi, K. Yamamoto, G. Mills, and M. Yakota, “Image reconstruction only by phase data in phase-shifting digital holography,” Appl. Opt. 45, 975–983 (2006). [CrossRef] [PubMed]
  18. P. Almoro, G. Pedrini, and W. Osten, “Complete wavefront reconstruction using sequential intensity measurements of a volume speckle field,” Appl. Opt. 45, 8596–8605 (2006). [CrossRef] [PubMed]
  19. 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]
  20. P. Jacquot, “Speckle interferometry: a review of the principal methods in use for experimental mechanics applications,” Strain 44, 57–69 (2008). [CrossRef]
  21. R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik (Stuttg.) 35, 237–246 (1972).
  22. P. F. Almoro and S. G. Hanson, “Object wave reconstruction by speckle illumination and phase retrieval,” J. Euro. Opt. Soc. Rapid Publ. 4, 09002 (2009). [CrossRef]
  23. P. F. Almoro, and S. G. Hanson are preparing a manuscript to be called “Enhanced wavefront reconstruction by random phase modulation with a phase diffuser.”
  24. P. F. Almoro, G. Pedrini, and W. Osten, “Aperture synthesis in phase retrieval using a volume-speckle field,” Opt. Lett. 32, 733–735 (2007). [CrossRef] [PubMed]
  25. P. F. Almoro and S. G. Hanson, “Wavefront sensing using speckles with fringe compensation,” Opt. Express 16, 7608–7618 (2008). [CrossRef] [PubMed]
  26. P. F. Almoro and S. G. Hanson are preparing a manuscript to be called “Single-plane multiple speckle pattern phase retrieval using a deformable mirror.”
  27. W. Wang, S. Hanson, and M. Takeda, “Complex amplitude correlations of dynamic laser speckle in complex ABCD optical systems,” J. Opt. Soc. Am. A 23, 2198–2207 (2006). [CrossRef]

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