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Applied Optics

Applied Optics


  • Vol. 36, Iss. 15 — May. 20, 1997
  • pp: 3560–3564

Origin of Kern’s arc

Yoshihide Takano and Kuo-Nan Liou  »View Author Affiliations

Applied Optics, Vol. 36, Issue 15, pp. 3560-3564 (1997)

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With the aid of computer-simulated halo patterns, we show that Kern’s arc, as seen on the latitude of the circumzenithal arc and on the other side of the zenith, is produced by double-plate ice crystals with a vertical principal axis. Light rays that contribute to Kern’s arc are demonstrated by geometric ray tracing. We also discuss the condition under which an arc that is opposite a circumhorizontal arc can appear.

© 1997 Optical Society of America

Original Manuscript: April 22, 1996
Revised Manuscript: July 8, 1996
Published: May 20, 1997

Yoshihide Takano and Kuo-Nan Liou, "Origin of Kern’s arc," Appl. Opt. 36, 3560-3564 (1997)

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  1. C. S. Ling, “Complex solar halo observed at Ellendale, N. Dak.,” Mon. Weather Rev. 50, 132–133 (1922). [CrossRef]
  2. E. A. Ripley, B. Saugier, “Photometeors at Saskatoon on 3 December 1970,” Weather 26, 150–157 (1971). [CrossRef]
  3. , “Halos of March 1–4 1906,” Mon. Weather Rev. 34, 123–124 (1906). [CrossRef]
  4. L. Besson, “The halos of November 1 and 2, 1913,” Mon. Weather Rev. 42, 431–446 (1914). [CrossRef]
  5. R. A. R. Tricker, Ice Crystal Haloes (Optical Society of America, Washington, D.C., 1979), Chaps. 1 and 7.
  6. E. Tränkle, R. G. Greenler, “Multiple-scattering effects in halo phenomena,” J. Opt. Soc. Am. A 4, 591–599 (1987). [CrossRef]
  7. Y. Takano, K. N. Liou, “Halo phenomena modified by multiple scattering,” J. Opt. Soc. Am. A 7, 885–889 (1990). [CrossRef]
  8. R. G. Greenler, Rainbow, Halos, and Glories (Cambridge U. Press, New York, 1980), Chap. 3, p. 96.
  9. W. Tape, Atmospheric Halos (American Geophysical Union, Washington, D.C., 1994), Chap. 11, pp. 101–104.
  10. D. K. Lynch, W. Livingston, Color and Light in Nature (Cambridge U. Press, New York, 1995), Chap. 5, p. 166.
  11. Y. Takano, K. N. Liou, “Radiative transfer in cirrus clouds. Part III: Light scattering by irregular ice crystals,” J. Atmos. Sci. 52, 818–837 (1995). [CrossRef]
  12. R. T. Bruintjes, A. J. Heymsfield, T. W. Krauss, “An examination of double-plate ice crystal and the initiation of precipitation in continental cumulus clouds,” J. Atmos. Sci. 44, 1331–1349 (1987). [CrossRef]
  13. A. J. Heymsfield, “Laboratory and field observations of the growth of columnar and plate crystals from frozen droplets,” J. Atmos. Sci. 30, 1650–1656 (1973). [CrossRef]
  14. W. J. Humphreys, Physics of the Air (McGraw-Hill, New York, 1940), Chap. 4, pp. 513–514.
  15. Y. Takano, K. N. Liou, “Solar radiative transfer in cirrus clouds. Part I: Single-scattering and optical properties of hexagonal ice crystals,” J. Atmos. Sci. 46, 3–19 (1989). [CrossRef]
  16. K. Iwai, “Three-dimensional structure of plate-like snow crystals,” J. Meteorol. Soc. Jpn. 61, 746–755 (1983).
  17. N. Fukuta, M. W. Kowa, N. H. Gong, “Determination of ice crystal growth parameters in a new supercooled cloud tunnel,” in Proceedings of the Conference on Cloud Physics (American Meteorological Society, Dallas, Tex., 1982), pp. 325–328.

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