OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 40, Iss. 15 — May. 20, 2001
  • pp: 2535–2545

Supernumerary spacing of rainbows produced by an elliptical-cross-section cylinder. II. Experiment

Charles L. Adler, David Phipps, Kirk W. Saunders, Justin K. Nash, and James A. Lock  »View Author Affiliations


Applied Optics, Vol. 40, Issue 15, pp. 2535-2545 (2001)
http://dx.doi.org/10.1364/AO.40.002535


View Full Text Article

Enhanced HTML    Acrobat PDF (168 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We measured the supernumerary spacing parameter of the first- and second-order rainbows of two glass rods, each having an approximately elliptical cross section, as a function of the rod’s rotation angle. We attribute large fluctuations in the supernumerary spacing parameter to small local inhomogeneities in the rod’s refractive index. The low-pass filtered first-order rainbow experimental data agree with the prediction of ray-tracing–wave-front modeling to within a few percent, and the second-order rainbow data exhibit additional effects that are due to rod nonellipticity.

© 2001 Optical Society of America

OCIS Codes
(080.1510) Geometric optics : Propagation methods
(290.0290) Scattering : Scattering
(290.3030) Scattering : Index measurements
(290.5820) Scattering : Scattering measurements

History
Original Manuscript: July 14, 2000
Revised Manuscript: January 4, 2001
Published: May 20, 2001

Citation
Charles L. Adler, David Phipps, Kirk W. Saunders, Justin K. Nash, and James A. Lock, "Supernumerary spacing of rainbows produced by an elliptical-cross-section cylinder. II. Experiment," Appl. Opt. 40, 2535-2545 (2001)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-40-15-2535


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. W. Möbius, “Zur Theorie des Regenbogens und ihrer experimentallen Prufung,” Abh. Math.-Phys. Kl. Saechs. Ges. Wiss. 30, 105–254 (1907–1909).
  2. W. Möbius, “Zur Theorie des Regenbogens und ihrer experimentallen Prufung,” Ann. Phys. (Leipzig) 33, 1493–1558 (1910). [CrossRef]
  3. G. P. Können, “Appearance of supernumeraries of the secondary rainbow in rain showers,” J. Opt. Soc. Am. A 4, 810–816 (1987). [CrossRef]
  4. A. B. Fraser, “Why can the supernumerary bows be seen in a rain shower?” J. Opt. Soc. Am. 73, 1626–1628 (1983), color plate 1. [CrossRef]
  5. A. B. Fraser, “Chasing rainbows,” Weatherwise 36, 280–287 (1983). [CrossRef]
  6. J. A. Lock, “Supernumerary spacing of rainbows produced by an elliptical-cross-section cylinder. I. Theory,” Appl. Opt. 39, 5040–5051 (2000). [CrossRef]
  7. H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1981), Sect. 13.23, pp. 243–246.
  8. R. T. Wang, H. C. van de Hulst, “Rainbows: Mie computations and the Airy approximation,” Appl. Opt. 30, 106–117 (1991). [CrossRef] [PubMed]
  9. J. P. A. J. van Beeck, “Rainbow phenomena: development of a laser-based, non-intrusive technique for measuring droplet size, temperature and velocity,” Ph.D. dissertation (Eindhoven Technische Universiteit, Eindhoven, The Netherlands, 1997), p. 78.
  10. M. Abramowitz, I. A. Stegun, eds., Handbook of Mathematical Functions (National Bureau of Standards, Washington D.C., 1964), Sect. 10.4, pp. 446–447, 478.
  11. J. D. Walker, “Multiple rainbows from single drops of water and other liquids,” Am. J. Phys. 44, 421–433 (1976). [CrossRef]
  12. M. V. Berry, “Waves and Thom’s theorem,” Adv. Phys. 25, 1–26 (1976). [CrossRef]
  13. C. L. Adler, J. A. Lock, B. R. Stone, “Rainbow scattering by a cylinder with a nearly elliptical cross section,” Appl. Opt. 37, 1540–1550 (1998). [CrossRef]
  14. C. L. Adler, J. A. Lock, B. R. Stone, C. J. Garcia, “High-order interior caustics produced in scattering of a diagonally incident plane wave by a circular cylinder,” J. Opt. Soc. Am. A 14, 1305–1315 (1997). [CrossRef]
  15. J. A. Lock, C. L. Adler, “Debye-series analysis of the first-order rainbow produced in scattering of a diagonally incident plane wave by a circular cylinder,” J. Opt. Soc. Am. A 14, 1316–1328 (1997). [CrossRef]
  16. J. A. Lock, C. L. Adler, B. R. Stone, P. D. Zajak, “Amplification of high-order rainbows of a cylinder with an elliptical cross section,” Appl. Opt. 37, 1527–1533 (1998). [CrossRef]
  17. V. Khare, H. M. Nussenzveig, “Theory of the rainbow,” Phys. Rev. Lett. 33, 976–980 (1974). [CrossRef]
  18. Ferguson’s Cut Glass Originals, 4292 Pearl Road, Cleveland, Ohio 44109.
  19. J. A. Lock, C. L. Adler, E. A. Hovenac, “Exterior caustics produced in scattering of a diagonally incident plane wave by a circular cylinder: semiclassical scattering theory analysis,” J. Opt. Soc. Am. A 17, 1846–1856 (2000). [CrossRef]
  20. N. Roth, K. Anders, A. Frohn, “Refractive-index measurements for the correction of particle sizing methods,” Appl. Opt. 30, 4960–4965 (1991). [CrossRef] [PubMed]
  21. J. P. A. J. van Beeck, M. L. Riethmuller, “Nonintrusive measurements of temperature and size of single falling raindrops,” Appl. Opt. 34, 1633–1639 (1995). [CrossRef] [PubMed]
  22. P. L. Marston, “Rainbow phenomena and the detection of nonsphericity in drops,” Appl. Opt. 19, 680–685 (1980). [CrossRef] [PubMed]
  23. J. P. A. J. van Beeck, M. L. Riethmuller, “Rainbow phenomena applied to the measurement of droplet size and velocity and to the detection of nonsphericity,” Appl. Opt. 35, 2259–2266 (1996). [CrossRef] [PubMed]
  24. H. Lohner, P. Lehmann, K. Bauckhage, “Detection based on rainbow refractometry of droplet sphericity in liquid–liquid systems,” Appl. Opt. 38, 1127–1132 (1999). [CrossRef]

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