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Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics


  • Editor: Gregory W. Faris
  • Vol. 1, Iss. 11 — Nov. 13, 2006

Shot-noise influence on the reconstructed phase image signal-to-noise ratio in digital holographic microscopy

Florian Charrière, Tristan Colomb, Frédéric Montfort, Etienne Cuche, Pierre Marquet, and Christian Depeursinge  »View Author Affiliations

Applied Optics, Vol. 45, Issue 29, pp. 7667-7673 (2006)

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In digital holographic microscopy, shot noise is an intrinsic part of the recording process with the digital camera. We present a study based on simulations and real measurements describing the shot-noise influence in the quality of the reconstructed phase images. Different configurations of the reference wave and the object wave intensities will be discussed, illustrating the detection limit and the coherent amplification of the object wave. The signal-to-noise ratio (SNR) calculation of the reconstructed phase images based on the decision statistical theory is derived from a model for image quality estimation proposed by Wagner and Brown [Phys. Med. Biol. 30, 489 (1985)]. It will be shown that a phase image with a SNR above 10 can be obtained with a mean intensity lower than 10 photons per pixel and per hologram coming from the observed object. Experimental measurements on a glass–chrome probe will be presented to illustrate the main results of the simulations.

© 2006 Optical Society of America

OCIS Codes
(030.4280) Coherence and statistical optics : Noise in imaging systems
(030.5290) Coherence and statistical optics : Photon statistics
(090.0090) Holography : Holography
(110.3000) Imaging systems : Image quality assessment

Original Manuscript: March 30, 2006
Revised Manuscript: May 23, 2006
Manuscript Accepted: May 26, 2006

Virtual Issues
Vol. 1, Iss. 11 Virtual Journal for Biomedical Optics

Florian Charrière, Tristan Colomb, Frédéric Montfort, Etienne Cuche, Pierre Marquet, and Christian Depeursinge, "Shot-noise influence on the reconstructed phase image signal-to-noise ratio in digital holographic microscopy," Appl. Opt. 45, 7667-7673 (2006)

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  1. J. W. Goodman and R. W. Lawrence, "Digital image formation from electronically detected holograms," Appl. Phys. Lett. 11, 77-79 (1967). [CrossRef]
  2. M. A. Kronrod, N. S. Merzlyakov, and L. P. Yaroslavskii, "Reconstruction of a hologram with a computer," Sov. Phys. Tech. Phys. 17, 333-334 (1972).
  3. E. Cuche, P. Marquet, and C. Depeursinge, "Simultaneous amplitude and quantitative phase-contrast microscopy by numerical reconstruction of Fresnel off-axis holograms," Appl. Opt. 38, 6994-7001 (1999). [CrossRef]
  4. U. Schnars and W. P. O. Jüptner, "Digital recording and numerical reconstruction of holograms," Meas. Sci. Technol. 13, R85-R101 (2002). [CrossRef]
  5. V. Kebbel, J. Muller, and W. P. O. Jüptner, "Characterization of aspherical micro-optics using digital holography: improvement of accuracy," in Interferometry XI: Applications, Proc. SPIE 4778,188-197 (2002).
  6. F. Charrière, J. Kühn, T. Colomb, F. Montfort, E. Cuche, Y. Emery, K. Weible, P. Marquet, and C. Depeursinge, "Characterization of microlenses by digital holographic microscopy," Appl. Opt. 45, 829-835 (2006). [CrossRef] [PubMed]
  7. G. Popescu, L. P. Deflores, J. C. Vaughan, K. Badizadegan, H. Iwai, R. R. Dasari, and M. S. Feld, "Fourier phase microscopy for investigation of biological structures and dynamics," Opt. Lett. 29, 2503-2505 (2004). [CrossRef] [PubMed]
  8. P. Marquet, B. Rappaz, P. J. Magistretti, E. Cuche, Y. Emery, T. Colomb, and C. Depeursinge, "Digital holographic microscopy: A noninvasive contrast imaging technique allowing quantitative visualization of living cells with subwavelength axial accuracy," Opt. Lett. 30, 468-470 (2005). [CrossRef] [PubMed]
  9. M. K. Kim, "Tomographic three-dimensional imaging of a biological specimen using wavelength-scanning digital interference holography," Opt. Express 7, 305-310 (2000). [CrossRef] [PubMed]
  10. F. Charrière, F. Montfort, J. Kühn, T. Colomb, A. Marian, E. Cuche, P. Marquet, and C. Depeursinge, "Cell refractive index tomography by digital holographic microscopy," Opt. Lett. 31, 178-180 (2006). [CrossRef] [PubMed]
  11. S. Grilli, P. Ferraro, M. Paturzo, D. Alfieri, and P. De Natale, "In situ visualization, monitoring and analysis of electric field domain reversal process in ferroelectric crystals by digital holography," Opt. Express 12, 1832-1842 (2004). [CrossRef] [PubMed]
  12. T. Colomb, E. Cuche, F. Montfort, P. Marquet, and C. Depeursinge, "Jones vector imaging by use of digital holography: simulation and experimentation," Opt. Commun. 231, 137-147 (2004). [CrossRef]
  13. P. Ferraro, S. De Nicola, A. Finizio, G. Coppola, S. Grilli, C. Magro, and G. Pierattini, "Compensation of the inherent wave front curvature in digital holographic coherent microscopy for quantitative phase-contrast imaging," Appl. Opt. 42, 1938-1946 (2003). [CrossRef] [PubMed]
  14. C. Liu, Z. G. Liu, F. Bo, Y. Wang, and J. Q. Zhu, "Digital holographic aberration compensation in electron holography," Opt. Eng. 42, 651-655 (2003). [CrossRef]
  15. T. Colomb, E. Cuche, F. Charrière, J. Kühn, N. Aspert, F. Montfort, P. Marquet, and C. Depeursinge, "Automatic procedure for aberrations compensation in digital holographic microscopy and applications to specimen shape compensation," Appl. Opt. 45, 851-863 (2006). [CrossRef] [PubMed]
  16. J. W. Goodman, Statistical Optics (Wiley, 1985).
  17. O. Monnom, F. Dubois, C. Yourassowsky, and J. C. Legros, "Improvement in visibility of an in-focus reconstructed image in digital holography by reduction of the influence of out-of-focus objects," Appl. Opt. 44, 3827-3832 (2005). [CrossRef] [PubMed]
  18. D. Paganin, A. Barty, P. J. McMahon, and K. A. Nugent, "Quantitative phase-amplitude microscopy. III. The effects of noise," J. Microsc. 214, 51-61 (2004). [CrossRef] [PubMed]
  19. W. J. De Ruijter and J. K. Weiss, "Detection limits in quantitative off-axis electron holography," Ultramicroscopy 50, 269-283 (1993). [CrossRef]
  20. R. F. Wagner and D. G. Brown, "Unified SNR analysis of medical imaging-systems," Phys. Med. Biol. 30, 489-518 (1985). [CrossRef]
  21. E. Cuche, P. Marquet, and C. Depeursinge, "Spatial filtering for zero-order and twin-image elimination in digital off-axis holography," Appl. Opt. 39, 4070-4075 (2000). [CrossRef]
  22. H. Takajo and T. Takahashi, "Noniterative method for obtaining the exact solution for the normal equation in least-squares phase estimation from the phase difference," J. Opt. Soc. Am. A 5, 1818-1827 (1988). [CrossRef]

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