OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 47, Iss. 34 — Dec. 1, 2008
  • pp: H11–H13

Geometric optics and rainbows: generalization of a result by Huygens

John A. Adam  »View Author Affiliations


Applied Optics, Vol. 47, Issue 34, pp. H11-H13 (2008)
http://dx.doi.org/10.1364/AO.47.000H11


View Full Text Article

Enhanced HTML    Acrobat PDF (75 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

In 1652 Huygens derived a formula specifying the rainbow angle for the primary bow ( k = 1 ) in terms of the refractive index only. A generalization of this result for any k 1 is outlined, along with an alternative representation. The details of the derivation can be found in (Adam, Mathematics Magazine, 2008, under review), but the results as stated may be of interest to the atmospheric optics community.

© 2008 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(000.3870) General : Mathematics
(010.1290) Atmospheric and oceanic optics : Atmospheric optics
(080.2720) Geometric optics : Mathematical methods (general)

History
Original Manuscript: February 21, 2008
Revised Manuscript: April 11, 2008
Manuscript Accepted: May 9, 2008
Published: June 4, 2008

Citation
John A. Adam, "Geometric optics and rainbows: generalization of a result by Huygens," Appl. Opt. 47, H11-H13 (2008)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-47-34-H11


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. H. M. Nussenzveig, Diffraction Effects in Semiclassical Scattering (Cambridge University Press, 1992). [CrossRef]
  2. J. A. Adam, “Noah's Arc: Asine in the Sky,” Mathematics Magazine (under review) (2008).
  3. See http://en.wikiversity.org/wiki/Waves_in_composites_and_metamaterials/Rainbows
  4. R. T. Wang and H. C. van de Hulst, “Rainbows: Mie computations and the Airy approximation,” Appl. Opt. 30, 106-117(1991). [CrossRef] [PubMed]
  5. M. Vollmer, Lichtspiele in der Luft: Atmosphärische Optik für Einsteiger, (Elsevier, Spektrum Akademischer Verlag, 2006), Chap. 5, pp. 121-122.
  6. W. E. Weisstein, “Multiple-angle formulas,” from MathWorld--a Wolfram Web Resource . http://mathworld.wolfram.com/Multiple-AngleFormulas.html

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited