OSA's Digital Library

Optics Letters

Optics Letters


  • Editor: Alan E. Willner
  • Vol. 38, Iss. 14 — Jul. 15, 2013
  • pp: 2524–2527

Compressive holography with a single-pixel detector

Pere Clemente, Vicente Durán, Enrique Tajahuerce, Pedro Andrés, Vicent Climent, and Jesús Lancis  »View Author Affiliations

Optics Letters, Vol. 38, Issue 14, pp. 2524-2527 (2013)

View Full Text Article

Enhanced HTML    Acrobat PDF (307 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



This Letter develops a framework for digital holography at optical wavelengths by merging phase-shifting interferometry with single-pixel optical imaging based on compressive sensing. The field diffracted by an input object is sampled by Hadamard patterns with a liquid crystal spatial light modulator. The concept of a single-pixel camera is then adapted to perform interferometric imaging of the sampled diffraction pattern by using a Mach–Zehnder interferometer. Phase-shifting techniques together with the application of a backward light propagation algorithm allow the complex amplitude of the object under scrutiny to be resolved. A proof-of-concept experiment evaluating the phase distribution of an ophthalmic lens with compressive phase-shifting holography is provided.

© 2013 Optical Society of America

OCIS Codes
(090.1760) Holography : Computer holography
(110.1758) Imaging systems : Computational imaging
(100.3175) Image processing : Interferometric imaging

ToC Category:

Original Manuscript: May 3, 2013
Manuscript Accepted: June 3, 2013
Published: July 10, 2013

Pere Clemente, Vicente Durán, Enrique Tajahuerce, Pedro Andrés, Vicent Climent, and Jesús Lancis, "Compressive holography with a single-pixel detector," Opt. Lett. 38, 2524-2527 (2013)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. M. Mir, B. Bhaduri, R. Wang, R. Zhu, and G. Popescu, Prog. Opt. 57, 133 (2012). [CrossRef]
  2. I. Yamaguchi and T. Zhang, Opt. Lett. 22, 1268 (1997). [CrossRef]
  3. L. Martínez-León, M. Araiza, B. Javidi, P. Andrés, V. Climent, J. Lancis, and E. Tajahuerce, Opt. Mater. Express 17, 12900 (2009). [CrossRef]
  4. T. Kakue, R. Yonesaka, T. Tahara, Y. Awatsuji, K. Nishio, S. Ura, T. Kubota, and O. Matoba, Opt. Lett. 36, 4131 (2011). [CrossRef]
  5. I. Yamaguchi, K. Yamamoto, G. A. Mills, and M. Yokota, Appl. Opt. 45, 975 (2006). [CrossRef]
  6. D. L. Donoho, IEEE Trans. Inf. Theory 52, 1289 (2006). [CrossRef]
  7. E. Candes, J. Romberg, and T. Tao, IEEE Trans. Inf. Theory 52, 489 (2006). [CrossRef]
  8. M. F. Duarte, M. A. Davenport, D. Takhar, J. N. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk, IEEE Signal Process. Mag. 25, 83 (2008). [CrossRef]
  9. W. L. Chan, K. Charan, D. Takhar, K. F. Kelly, R. G. Baraniuk, and D. M. Mittleman, Appl. Phys. Lett. 93, 121105 (2008). [CrossRef]
  10. R. D. Swift, R. B. Wattson, J. A. Decker, R. Paganetti, and M. Harwit, Appl. Opt. 15, 1595 (1976). [CrossRef]
  11. D. J. Brady, K. Choi, D. L. Marks, R. Horisaki, and S. Lim, Opt. Mater. Express 17, 13040 (2009). [CrossRef]
  12. Y. Rivenson, A. Stern, and B. Javidi, Appl. Opt. 52, A423 (2013). [CrossRef]
  13. P. Clemente, V. Durán, E. Tajahuerce, V. Torres-Company, and J. Lancis, Phys. Rev. A 86, 041803(R) (2012). [CrossRef]
  14. E. Candes, http://www-stat.stanford.edu/~candes/l1magic .

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.


Fig. 1. Fig. 2. Fig. 3.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited