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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 7, Iss. 4 — Apr. 1, 1968
  • pp: 643–645

The Range of Validity of the Anomalous Diffraction Approximation to Electromagnetic Scattering by a Sphere

William A. Farone and Matthew J. Robinson, III  »View Author Affiliations


Applied Optics, Vol. 7, Issue 4, pp. 643-645 (1968)
http://dx.doi.org/10.1364/AO.7.000643


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Abstract

The ranges of refractive index and particle size over which the anomalous diffraction approximation is valid to within 15%, 50%, and 100% are mapped. The approximation is found to have a broader range of applicability for the extinction efficiency than the Rayleigh-Gans approximation. The large range of validity explains the success of schemes for determining particle size distributions of spheres from extinction measurements based on analytic inversions of formulas containing the approximation.

© 1968 Optical Society of America

History
Original Manuscript: October 9, 1967
Published: April 1, 1968

Citation
William A. Farone and Matthew J. Robinson, "The Range of Validity of the Anomalous Diffraction Approximation to Electromagnetic Scattering by a Sphere," Appl. Opt. 7, 643-645 (1968)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-7-4-643


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References

  1. M. Kerker, E. Matijevic, W. F. Espenscheid, W. A. Farone, S. Kitani, J. Colloid Sci. 19, 213 (1964). [CrossRef]
  2. M. Kerker, E. Daby, G. L. Cohen, J. P. Kratohvil, E. Matijevic, J. Phys. Chem. 67, 2105 (1963). [CrossRef]
  3. W. F. Espenscheid, M. Kerker, E. Matijevic, J. Phys. Chem. 68, 3093 (1964). [CrossRef]
  4. R. T. Jacobsen, M. Kerker, E. Matijevic, J. Phys. Chem. 71, 514 (1967). [CrossRef]
  5. K. S. Shifrin, A. Y. Perelman, V. G. Bakhtiyarov, Opt. Spectrosc. 20, 386 (1966).
  6. H. C. van de Hulst, Light Scattering by Small Particles (John Wiley & Sons, Inc., New York, 1957).
  7. M. Kerker, W. A. Farone, E. Matijevic, J. Opt. Soc. Amer. 53, 758 (1963). [CrossRef]
  8. L. Lorenz, Skrifter Norske Videnskaps–Akad. Oslo, I. Mat. Natur. Kl. 6, 405 (1890) and Oerevres Sci. 1, 405 (1898); A. E. H. Love, Proc. London Math. Soc. 30, 308 (1899); G. Mie, Ann. Physik 25, 377 (1908); P. Debye, Ann. Physik 30, 59 (1909); T. S. Bromwich, Phil. Mag. 38, 144 (1919). [CrossRef]
  9. J. R. Hodkinson, Appl. Opt. 5, 839 (1966). [CrossRef] [PubMed]

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