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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 16, Iss. 11 — Nov. 1, 1999
  • pp: 2643–2648

Diffraction tomography using power extinction measurements

P. Scott Carney, E. Wolf, and G. S. Agarwal  »View Author Affiliations

JOSA A, Vol. 16, Issue 11, pp. 2643-2648 (1999)

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We propose a new method for determining structures of semitransparent media from measurements of the extinguished power in scattering experiments. The method circumvents the problem of measuring the phase of the scattered field. We illustrate how this technique may be used to reconstruct both deterministic and random scatterers.

© 1999 Optical Society of America

OCIS Codes
(110.6960) Imaging systems : Tomography
(290.3200) Scattering : Inverse scattering

Original Manuscript: February 3, 1999
Revised Manuscript: June 7, 1999
Manuscript Accepted: June 7, 1999
Published: November 1, 1999

P. Scott Carney, E. Wolf, and G. S. Agarwal, "Diffraction tomography using power extinction measurements," J. Opt. Soc. Am. A 16, 2643-2648 (1999)

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  1. See, for example, E. Wolf, “Principles and development of diffraction tomography,” in Trends in Optics, A. Consortini, ed. (Academic, San Diego, Calif., 1996), pp. 83–110.
  2. H. C. van de Hulst, “On the attenuation of plane waves by obstacles of arbitrary size and form,” Physica 15, 740–746 (1949). [CrossRef]
  3. P. S. Carney, E. Wolf, G. S. Agarwal, “Statistical generalizations of the optical theorem with applications to inverse scattering,” J. Opt. Soc. Am. A 14, 3366–3371 (1997). [CrossRef]
  4. R. G. Newton, “Present status of the generalized Marchenko method for the solution of the inverse scattering problem in three dimensions,” in Inverse Problems in Mathematical Physics, L. Päivärinta, E. Somersalo, eds. (Springer-Verlag, Berlin, 1993).
  5. M. Born, E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, Cambridge, UK, 1999).
  6. Within the accuracy of the first-order Born approximation, D is constant over these values of S. However experimental values of D may require the averaging in Eq. (3.6) owing to noise and multiple scattering.
  7. W. H. Carter, E. Wolf, “Coherence and radiometry with quasihomogeneous planar sources,” J. Opt. Soc. Am. 67, 785–796 (1977). [CrossRef]
  8. R. A. Silverman, “Locally stationary random processes,” IRE Trans. Inf. Theory 3, 182–187 (1957). [CrossRef]
  9. G. Gbur, K. Kim, “The quasi-homogeneous approximation for a class of three-dimensional primary sources,” Opt. Commun. 163, 20–23 (1999). This paper is soon to be reprinted in Opt. Commun. owing to a large number of printer’s errors in the original publication. [CrossRef]
  10. In order that g˜ satisfy requirements of analyticity in κ′,g˜(|κ|) must be expressible as an analytic function of |κ|2.
  11. See Appendix in G. Gbur, E. Wolf, “Determination of the density correlation function from scattering with polychromatic light,” Opt. Commun. (to be published).
  12. C. Cohen-Tannoudji, B. Diu, F. Laloe, Quantum Mechanics (Hermann, Paris, 1977).

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