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Applied Optics

Applied Optics


  • Vol. 30, Iss. 33 — Nov. 20, 1991
  • pp: 4755–4763

Glare points

H. C. van de Hulst and R. T. Wang  »View Author Affiliations

Applied Optics, Vol. 30, Issue 33, pp. 4755-4763 (1991)

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Glare points are the intensity maxima seen when a water drop illuminated by a wide beam is viewed from a certain direction and imaged. We show that good resolution in both the scattering angle and the glare point position can be achieved only if the size parameter x = 2πa/λ is ≫ 1 and that the positions of the glare points can be computed by a Fourier transform from the familiar Lorenz–Mie scattering function. Sample computations made with x = 10,000 and x = 20,000 are presented. Glare points corresponding to rays that have suffered as many as 15 internal reflections can be identified, in agreement with experimental findings.

© 1991 Optical Society of America

Original Manuscript: July 19, 1990
Published: November 20, 1991

H. C. van de Hulst and R. T. Wang, "Glare points," Appl. Opt. 30, 4755-4763 (1991)

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  1. J. A. Lock, “Theory of the observations made of high-order rainbows from a single water droplet,” Appl. Opt. 26, 5291–5298 (1987). [CrossRef] [PubMed]
  2. J. A. Lock, J. R. Woodruff, “Non-Debye enhancements in the Mie scattering of light from a single water droplet,” Appl. Opt. 28, 523–529 (1989). [CrossRef] [PubMed]
  3. H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957;H. C. van de Hulst, Light Scattering by Small ParticlesDover, New York, 1981).
  4. M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969).
  5. C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).
  6. J. D. Walker, “Multiple rainbows from single drops of water and other liquids,” Am. J. Phys. 44, 421–433 (1976). [CrossRef]
  7. P. L. Marston, E. H. Trinh, “Hyperbolic umbilic diffraction catastrophe and rainbow scattering from spheroidal drops,” Nature (London) 312, 529–531 (1984). [CrossRef]
  8. J. Walker, “How to create and observe a dozen rainbows in a single drop of water,” Sci. Am. 237, 138–144 (July1977). [CrossRef]
  9. J. Walker, “Mysteries of rainbows, notably their rare supernumerary arcs,” Sci. Am. 242, 147–152 (June1980).
  10. K. Sassen, “Angular scattering and rainbow formation in pendant drops,” J. Opt. Soc. Am. 69, 1083–1089 (1979). [CrossRef]
  11. J. F. Nye, “Rainbow scattering from spheroidal drops—an explanation of the hyperbolic umbilic foci,” Nature (London) 312, 531–532 (1984). [CrossRef]
  12. R. T. Wang, H. C. van de Hulst, “Rainbows: Mie computation and the Airy approximation,” Appl. Opt. 30, 106–117 (1991). [CrossRef] [PubMed]
  13. V. Khare, H. M. Nussenzveig, “The Theory of the Glory,” in Statistical Mechanics and Statistical Methods in Theory and Application, U. Landman, ed. (Plenum, New York, 1977), pp. 723–764. [CrossRef]
  14. H. M. Nussenzveig, “Complex angular momentum theory of the rainbow and the glory,” J. Opt. Soc. Am. 69, 1068–1079 (1979). [CrossRef]
  15. J. A. Lock, “Cooperative effects among partial waves in Mie scattering,” J. Opt. Soc. Am. A 5, 2032–2044 (1988). [CrossRef]
  16. H. C. van de Hulst, Multiple Light Scattering. Tables, Formulas, and Applications (Academic, New York, 1980).
  17. G. Gouesbet, B. Maheu, G. Gréhan, “Light scattering from a sphere arbitrarily located in a Gaussian beam, using a Bromwich formulation,” J. Opt. Soc. Am. A 5, 1427–1443 (1988). [CrossRef]
  18. B. Maheu, G. Gouesbet, G. Gréhan, “A concise presentation of the generalized Lorenz–Mie theory for arbitrary location of the scatterer in an arbitrary incident profile,” J. Opt. Paris 19, 59–67 (1988). [CrossRef]
  19. G. Gouesbet, G. Gréhan, B. Maheu, “Computations of the gn coefficients in the generalized Lorenz–Mie theory using three different methods,” Appl. Opt. 27, 4874–4883 (1988). [CrossRef] [PubMed]
  20. H. C. van de Hulst, “A theory of the anti-coronae,” J. Opt. Soc. Am. 37, 16–22 (1947). [CrossRef]
  21. S. A. Schaub, D. R. Alexander, J. P. Barton, “Modeling of a coherent imaging system,” in Proceedings of the Second International Congress on Optical Particle Sizing, E. D. Hirleman, ed. (Arizona State University, Tempe, Ariz., 1990), pp. 239–250.

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