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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 28, Iss. 4 — Apr. 1, 2011
  • pp: 662–664

Validity criterion for the Born approximation convergence in microscopy imaging: comment

Xuesong Wang, Jianbing Li, Tao Wang, and Shunping Xiao  »View Author Affiliations


JOSA A, Vol. 28, Issue 4, pp. 662-664 (2011)
http://dx.doi.org/10.1364/JOSAA.28.000662


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Abstract

A recent paper [ J. Opt. Soc. Am. A 26, 1147 (2009)] proposed a new criterion to identify the validity of the Born approximation. In this paper, we present our doubts on the mathematical basis and the applicability of this criterion.

© 2011 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(290.5825) Scattering : Scattering theory

ToC Category:
Imaging Systems

History
Original Manuscript: November 19, 2010
Revised Manuscript: December 28, 2010
Manuscript Accepted: January 11, 2011
Published: March 30, 2011

Virtual Issues
Vol. 6, Iss. 5 Virtual Journal for Biomedical Optics

Citation
Xuesong Wang, Jianbing Li, Tao Wang, and Shunping Xiao, "Validity criterion for the Born approximation convergence in microscopy imaging: comment," J. Opt. Soc. Am. A 28, 662-664 (2011)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-28-4-662


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References

  1. S. Trattner, M. Feigin, H. Greenspan, and N. Sochen, “Validity criterion for the Born approximation convergence in microscopy imaging,” J. Opt. Soc. Am. A 26, 1147–1156(2009). [CrossRef]
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  6. S. Trattner, M. Feigin, H. Greenspan, and N. Sochen, “Can Born approximate the unborn? A new validity criterion for the Born approximation in microscopic imaging,” in Proceedings of the IEEE 11th International Conference on Computer Vision (IEEE, 2007), Vol.  14, pp. 1–8. [CrossRef]
  7. M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge University Press, 1999).
  8. L. Zapalowski, M. A. Fiddy, and S. Leeman, “On the Born Rytov controversy,” in Proceedings of the Ultrasonics Symposium (IEEE, 1983), pp. 928–930.
  9. E. Kreyszig, Introductory Functional Analysis with Applications (Wiley, 1978).
  10. J. Li, X. Wang, and T. Wang, “On the validity of Born approximation,” PIER 107, 219–237 (2010). [CrossRef]

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