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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 33, Iss. 7 — Mar. 1, 1994
  • pp: 1141–1444

Rapid inversion of angular deflection data for certain axisymmetric refractive index distributions

R. Rubinstein and P. S. Greenberg  »View Author Affiliations


Applied Optics, Vol. 33, Issue 7, pp. 1141-1444 (1994)
http://dx.doi.org/10.1364/AO.33.001141


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Abstract

Certain functions useful for representing axisymmetric refractive-index distributions are shown to have exact solutions for Abel transformation of the resulting angular deflection data.

© 1994 Optical Society of America

History
Original Manuscript: February 8, 1993
Revised Manuscript: October 7, 1993
Published: March 1, 1994

Citation
R. Rubinstein and P. S. Greenberg, "Rapid inversion of angular deflection data for certain axisymmetric refractive index distributions," Appl. Opt. 33, 1141-1444 (1994)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-33-7-1141


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References

  1. N. H. Abel, “Auflosung einer mechanischen Aufgabe,” J. Reine Angew. Math. 1, 153–157 (1826). [CrossRef]
  2. C. J. Dasch, “One-dimensional tomography: a comparison of Abel, onion-peeling, and filtered backprojection methods,” Appl. Opt. 31, 1146–1152 (1992). [CrossRef] [PubMed]
  3. C. M. Vest, “Interferometry of strongly refracting axisymmetric phase objects,” Appl. Opt. 14, 1601–1606 (1975). [CrossRef] [PubMed]
  4. A. Erdelyi, W. Magnus, F. Oberhettinger, F. Tricomi, Higher Transcendental Functions (McGraw-Hill, New York, 1953), Vol. 1.
  5. B. J. Hughey, D. A. Santavicca, “A comparison of techniques for reconstructing axisymmetric reacting flow fields from absorption measurements,” Combust. Sci. Technol. 29, 167–190 (1982). [CrossRef]

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