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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 48, Iss. 26 — Sep. 10, 2009
  • pp: 4978–4984

Quételet’s fringes due to scattering by small spheres just above a reflecting surface

Wilfried Suhr and H. Joachim Schlichting  »View Author Affiliations

Applied Optics, Vol. 48, Issue 26, pp. 4978-4984 (2009)

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In various everyday situations, a characteristic interference pattern can be observed on water surfaces. This pattern can be divided into two overlapping components: a corona and a system of Quételet’s rings, often with only a section of these visible in the form of fringes. We attribute this phenomenon to thin films of small spheres located just above the reflecting water surface. Due to differences in the optical arrangement, explanatory models applicable for conventionally produced Quételet’s rings are not transferable. We present a compatible mathematical model and some obvious analogies in order to explain the occurrence and properties of this phenomenon.

© 2009 Optical Society of America

OCIS Codes
(260.3160) Physical optics : Interference
(290.5850) Scattering : Scattering, particles

ToC Category:

Original Manuscript: May 6, 2009
Revised Manuscript: August 19, 2009
Manuscript Accepted: August 21, 2009
Published: September 2, 2009

Wilfried Suhr and H. Joachim Schlichting, "Quételet's fringes due to scattering by small spheres just above a reflecting surface," Appl. Opt. 48, 4978-4984 (2009)

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  1. H. J. Schlichting, “Farbkränze auf staubigen Gewässern,” Phys. Unserer Zeit 35, 86-89 (2004). [CrossRef]
  2. Isaac Newton, Opticks, new ed. (Prometheus,2003). (originally published 1704)
  3. K. Exner, “Ueber die Fraunhofer'schen Ringe, die Quetelet'schen Streifen und verwandte Erscheinungen,” Ann. Phys. (Leipzig) 240, 525-550 (1878). [CrossRef]
  4. W. Suhr and H. J. Schlichting, “Coloured rings produced on transparent plates,” Phys. Educ. 42, 566-571 (2007). [CrossRef]
  5. G. G. Stokes, “On the colours of thick plates,” Trans. Cambridge Philos. Soc. 9, 147-176 (1856).
  6. A. J. de Witte, “Interference in scattered light,” Am. J. Phys. 35, 301-313 (1967). [CrossRef]
  7. V. J. Schaefer “Observations of an early morning cup of coffee,” Am. Sci. 59, 534-535 (1971).
  8. M. Riikonen, “Optical phenomena from algal films on the water surface,” Master's thesis (University of Helsinki, 2008).
  9. Y. S. Kaganovskii, V. D. Freilikher, E. Kanzieper, Y. Nafcha, M. Rosenbluh, and I. M. Fuks, “Light scattering from slightly rough dielectric films,” J. Opt. Soc. Am. A 16, 331-338 (1999). [CrossRef]
  10. S. Lecler, Y. Takakura, and P. Meyrueis, “Interpretation of light scattering by a bisphere in the electrodynamic regime based on apertures interference and cavity resonance,” J. Opt. A: Pure Appl. Opt. 9, 802-810 (2007). [CrossRef]
  11. P. Laven, “Simulation of rainbows, coronas and glories by use of Mie theory,” Appl. Opt. 42, 436-444 (2003). [CrossRef] [PubMed]
  12. M. I. Mishchenko, D. W. Mackowski, and L. D. Travis, “Scattering of light by bispheres with touching and separated components,” Appl. Opt. 34, 4589-4599 (1995). [CrossRef] [PubMed]

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