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Applied Optics

Applied Optics


  • Vol. 30, Iss. 33 — Nov. 20, 1991
  • pp: 4739–4746

Calculation of far-field scattering from nonspherical particles using a geometrical optics approach

Edward A. Hovenac  »View Author Affiliations

Applied Optics, Vol. 30, Issue 33, pp. 4739-4746 (1991)

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A numerical method was developed using geometrical optics to predict far-field optical scattering from particles that are symmetric about the optic axis. The diffractive component of scattering is calculated and combined with the reflective and refractive components to give the total scattering pattern. The phase terms of the scattered light are calculated as well. Verification of the method was achieved by assuming a spherical particle and comparing the results to Mie scattering theory. Agreement with the Mie theory was excellent in the forward-scattering direction. However, small-amplitude oscillations near the rainbow regions were not observed using the numerical method. Numerical data from spheroidal particles and hemispherical particles are also presented. The use of hemispherical particles as a calibration standard for intensity-type optical particle-sizing instruments is discussed.

© 1991 Optical Society of America

Edward A. Hovenac, "Calculation of far-field scattering from nonspherical particles using a geometrical optics approach," Appl. Opt. 30, 4739-4746 (1991)

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  1. E. A. Hovenac, “Droplet sizing instrumentation used for icing research: operation, calibration, and accuracy,” NASA Contract Rep. 182293 DOT/FAA/CD-89/13 (1989).
  2. H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1981).
  3. A. Ungut, G. Grehan, G. Gouesbet, “Comparisons between geometrical optics and Lorenz–Mie theory,” Appl. Opt. 20, 2911–2918 (1981). [CrossRef] [PubMed]
  4. S. Asano, G. Yamamoto, “Light scattering by a spheroidal particle,” Appl. Opt. 14, 29–49 (1975). [PubMed]
  5. S. Asano, “Light scattering properties of spheroidal particles,” Appl. Opt. 18, 712–732 (1979). [CrossRef] [PubMed]
  6. S. Asano, M. Sato, “Light scattered by randomly oriented spheroidal particles,” Appl. Opt. 19, 962–974 (1980). [CrossRef] [PubMed]
  7. J. D. Walker, “Multiple rainbows from single drops of water and other liquids,” Am. J. Phys. 44, 421–433 (1976). [CrossRef]
  8. H. M. Nussenzveig, “High-frequency scattering by a transparent sphere. I. Direct reflection and transmission,” J. Math. Phys. 10, 82–124 (1969). [CrossRef]
  9. H. M. Nussenzveig, “High-frequency scattering by a transparent sphere. II. Theory of the rainbow and the glory,” J. Math. Phys. 10, 125–176 (1969). [CrossRef]

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