OSA's Digital Library

Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics

| EXPLORING THE INTERFACE OF LIGHT AND BIOMEDICINE

  • Editor: Gregory W. Faris
  • Vol. 2, Iss. 3 — Mar. 7, 2007

Influence of multiple scattering on the resolution of an imaging system: a Cramér-Rao analysis

Anne Sentenac, Charles-Antoine Guérin, Patrick C. Chaumet, Filip Drsek, Hugues Giovannini, Nicolas Bertaux, and Matthias Holschneider  »View Author Affiliations


Optics Express, Vol. 15, Issue 3, pp. 1340-1347 (2007)
http://dx.doi.org/10.1364/OE.15.001340


View Full Text Article

Enhanced HTML    Acrobat PDF (153 KB) Open Access





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We revisit the notion of resolution of an imaging system in the light of a probabilistic concept, the Cramér-Rao bound (CRB). We show that the CRB provides a simple quantitative estimation of the accuracy one can expect in measuring an unknown parameter from a scattering experiment. We then investigate the influence of multiple scattering on the CRB for the estimation of the interdistance between two objects in a typical two-sphere scattering experiments. We show that, contrarily to a common belief, the occurence of strong multiple scattering does not automatically lead to a resolution enhancement.

© 2007 Optical Society of America

OCIS Codes
(110.0180) Imaging systems : Microscopy
(290.4020) Scattering : Mie theory
(290.4210) Scattering : Multiple scattering

ToC Category:
Scattering

History
Original Manuscript: October 27, 2006
Manuscript Accepted: December 6, 2006
Published: February 5, 2007

Virtual Issues
Vol. 2, Iss. 3 Virtual Journal for Biomedical Optics

Citation
Anne Sentenac, Charles-Antoine Guérin, Patrick C. Chaumet, Filip Drsek, Hugues Giovannini, Nicolas Bertaux, and Matthias Holschneider, "Influence of multiple scattering on the resolution of an imaging system: a Cramér-Rao analysis," Opt. Express 15, 1340-1347 (2007)
http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=oe-15-3-1340


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. F. Simonetti, "Multiple scattering: The key to unravel the subwavelength world from the far-field pattern of a scattered wave," Phys. Rev. E 73, (2006). [CrossRef]
  2. F. C. Chen and W. C. Chew, "Experimental verification of super resolution in nonlinear inverse scattering," Appl. Phys. Lett. 72, 3080-3082 (1998). [CrossRef]
  3. K. Belkebir, A. Sentenac, and P. C. Chaumet, "Influence of multiple scattering on three-dimensional imaging with optical diffraction tomography," J. Opt. Soc. Am. A 23, 586-595 (2006). [CrossRef]
  4. P. Blomgren and G. Papanicolaou, "Super-resolution in time-reversal acoustics," J. Acoust. Soc. Am. 111, 230 - 248 (2002). [CrossRef] [PubMed]
  5. C. Prada and J. L. Thomas, "Experimental subwavelength localization of scatterers by decomposition of timereversal operator," J. Acoust. Soc. Am. 114, 235 - 243 (2003). [CrossRef] [PubMed]
  6. M. Shahram and P. Milanfar, "Imaging below the diffraction limit: A statistical analysis," IEEE Trans. Image Process 13, 677 - 689 (2004). [CrossRef]
  7. S. Van Aert, D. Van Dyck, and A. J. den Dekker, "Resolution of coherent and incoherent imaging systems reconsidered - classical criteria and a statistical alternative," Opt. Express 14, 3830-3839 (2006). [CrossRef] [PubMed]
  8. P. Refregier, "Noise theory and application to physics from fluctuation to information," chapter statistical estimation, (Springer 2004) pp.167 205.
  9. Y. L. Xu, "Electromagnetic scattering by an aggregate of spheres," Appl. Opt. 34, 4573-4588 (1995). [CrossRef] [PubMed]
  10. P. C. Chaumet and M. Nieto-Vesperinas, "Optical binding of particles with or without the presence of a flat dielectric surface," Phys. Rev. B 64, 035422-035429 (2001). [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