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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 20, Iss. 2 — Jan. 15, 1981
  • pp: 194–198

Mie forward scattering: improved semiempirical approximation with application to particle size distribution inversion

A. L. Fymat and K. D. Mease  »View Author Affiliations


Applied Optics, Vol. 20, Issue 2, pp. 194-198 (1981)
http://dx.doi.org/10.1364/AO.20.000194


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Abstract

The approximations of Penndorf and Shifrin-Punina to the Mie solution at forward scattering angles are extended to smaller size parameter values. The present approximation, Eq. (7), is found to represent accurately the Mie result down to x ~ 0.5–1.0 for refractive index m = 1.33, and to x ~ 2.0 for much larger index values. The implications of this result are discussed relative to the reconstruction of particle size distributions utilizing the Shifrin-Fymat analytical inversion formula of forward scattered intensities.

© 1981 Optical Society of America

History
Original Manuscript: May 19, 1980
Published: January 15, 1981

Citation
A. L. Fymat and K. D. Mease, "Mie forward scattering: improved semiempirical approximation with application to particle size distribution inversion," Appl. Opt. 20, 194-198 (1981)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-20-2-194


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References

  1. K. S. Shifrin, A. Y. Perelman, in Electromagnetic Scattering, R. L. Rowell, R. S. Stein, Eds. (Gordon and Breach, New York, 1967).
  2. A. L. Fymat, in Remote Monitoring of the Terrestrial Atmosphere from Space (Rassegna, Rome, 1973), p. 183; also in Proceedings of the International Colloquium on Drops and Bubbles, Vol. 2, D. J. Collins, M. S. Plesset, M. M. Saffren, Eds. (1974), p. 572. (U.S. Government Publication 1976-685-197/2).
  3. A. L. Fymat, Appl. Opt. 17, 1677 (1978). [CrossRef] [PubMed]
  4. A. L. Fymat, K. D. Mease, in Remote Sensing of the Atmosphere: Inversion Methods and Applications, A. L. Fymat, V. E. Zuev, Eds. (Elsevier, Amsterdam, 1978), p. 195.
  5. J. R. Hodkinson, Appl. Opt. 5, 839 (1966). [CrossRef] [PubMed]
  6. R. O. Gumprecht, C. M. Slipcevich, J. Phys. Chem. 57, 90 (1953). [CrossRef]
  7. H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957).
  8. R. Penndorf, J. Opt. Soc. Am. 52, 797 (1962). [CrossRef]
  9. K. S. Shifrin, V. A. Punina, Bull. Izv. Acad. Sci. USSR Atmos. Oceanic. Phys. 4, No. 7, 450 (1968).

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