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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 21, Iss. 9 — Sep. 1, 2004
  • pp: 1669–1676

How well does the Rayleigh model describe the E-vector distribution of skylight in clear and cloudy conditions? A full-sky polarimetric study

Bence Suhai and Gábor Horváth  »View Author Affiliations


JOSA A, Vol. 21, Issue 9, pp. 1669-1676 (2004)
http://dx.doi.org/10.1364/JOSAA.21.001669


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Abstract

We present the first high-resolution maps of Rayleigh behavior in clear and cloudy sky conditions measured by full-sky imaging polarimetry at the wavelengths of 650 nm (red), 550 nm (green), and 450 nm (blue) versus the solar elevation angle θs. Our maps display those celestial areas at which the deviation Δα= |αmeas-αRayleigh| is below the threshold αthres=5°, where αmeas is the angle of polarization of skylight measured by full-sky imaging polarimetry, and αRayleigh is the celestial angle of polarization calculated on the basis of the single-scattering Rayleigh model. From these maps we derived the proportion r of the full sky for which the single-scattering Rayleigh model describes well (with an accuracy of Δα=5°) the E-vector alignment of skylight. Depending on θs,r is high for clear skies, especially for low solar elevations (40%<r<70% for θs13°). Depending on the cloud cover and the solar illumination, r decreases more or less under cloudy conditions, but sometimes its value remains remarkably high, especially at low solar elevations (rmax=69% for θs=0°). The proportion r of the sky that follows the Rayleigh model is usually higher for shorter wavelengths under clear as well as cloudy sky conditions. This partly explains why the shorter wavelengths are generally preferred by animals navigating by means of the celestial polarization. We found that the celestial E-vector pattern generally follows the Rayleigh pattern well, which is a fundamental hypothesis in the studies of animal orientation and human navigation (e.g., in aircraft flying near the geomagnetic poles and using a polarization sky compass) with the use of the celestial α pattern.

© 2004 Optical Society of America

OCIS Codes
(010.3920) Atmospheric and oceanic optics : Meteorology
(100.0100) Image processing : Image processing
(120.5410) Instrumentation, measurement, and metrology : Polarimetry
(260.5430) Physical optics : Polarization
(280.0280) Remote sensing and sensors : Remote sensing and sensors
(290.1310) Scattering : Atmospheric scattering

History
Original Manuscript: December 18, 2003
Revised Manuscript: April 5, 2004
Manuscript Accepted: April 5, 2004
Published: September 1, 2004

Citation
Bence Suhai and Gábor Horváth, "How well does the Rayleigh model describe the E-vector distribution of skylight in clear and cloudy conditions? A full-sky polarimetric study," J. Opt. Soc. Am. A 21, 1669-1676 (2004)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-21-9-1669


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References

  1. G. Horváth, D. Varjú, Polarized Light in Animal Vision—Polarization Patterns in Nature (Springer, Berlin, 2003).
  2. A. Barta, G. Horváth, “Why is it advantageous to perceive the polarization of downwelling light under clouds and canopies in the UV?” J. Theor. Biol. 226, 429–437 (2004). [CrossRef] [PubMed]
  3. K. Kirschfeld, M. Lindauer, H. Martin, “Problems of menotactic orientation according to polarized light of the sky,” Z. Naturforsch. 30c, 88–90 (1975).
  4. R. Wehner, “Polarized-light navigation by insects,” Sci. Am. 235(7), 106–115 (1976). [CrossRef] [PubMed]
  5. H. W. van der Glas, “Models for unambiguous E-vector navigation in the bee,” J. Comp. Physiol. A 113, 129–159 (1977). [CrossRef]
  6. S. Rossel, R. Wehner, M. Lindauer, “E-vector orientation in bees,” J. Comp. Physiol., A 125, 1–12 (1978). [CrossRef]
  7. M. L. Brines, “Dynamic patterns of skylight polarization as clock and compass,” J. Theor. Biol. 86, 507–512 (1980). [CrossRef] [PubMed]
  8. K. P. Able, “Skylight polarization patterns at dusk influence migratory orientation in birds,” Nature 299, 550–551 (1982). [CrossRef]
  9. J. B. Phillips, J. A. Waldvogel, “Reflected light cues generate the short-term deflector-loft effect,” in Avian Navigation, F. Papi, H. G. Wallraff, eds. (Springer, Heidelberg, Germany, 1982), pp. 190–202.
  10. S. Rossel, R. Wehner, “The bee’s map of the E-vector pattern in the sky,” Proc. Natl. Acad. Sci. USA 79, 4451–4455 (1982). [CrossRef]
  11. R. Wehner, “Celestial and terrestrial navigation: human strategies—insect strategies,” in Neuroethology and Behavioral Physiology, F. Huber, H. Markl, eds. (Springer, Heidelberg, Germany, 1983), pp. 366–381.
  12. R. Wehner, “Astronavigation in insects,” Annu. Rev. Entomol. 29, 277–298 (1984). [CrossRef]
  13. R. Wehner, S. Rossel, “The bee’s celestial compass—a case study in behavioral neurobiology,” Fortschr. Zool. 31, 11–53 (1985).
  14. R. Wehner, “The hymenopteran skylight compass: matched filtering and parallel coding,” J. Exp. Biol. 146, 63–85 (1989).
  15. K. P. Able, M. A. Able, “Ontogeny of migratory orientation in the savannah sparrow, Passerculus sandwichensis: mechanisms at sunset,” Anim. Behav. 39, 1189–1198 (1990). [CrossRef]
  16. K. Schmidt-Koenig, J. U. Ganzhorn, R. Ranvaud, “The sun compass,” in Orientation in Birds, P. Berthold, ed. (Birkhäuser, Basel, 1991), pp. 1–15.
  17. C. W. Hawryshyn, “Polarization vision in fish,” Am. Sci. 80, 164–175 (1992).
  18. R. Wehner, “The polarization-vision project: championing organismic biology,” Fortschr. Zool. 39, 103–143 (1994).
  19. R. Wehner, “The ant’s celestial compass system: spectral and polarization channels,” in Orientation and Communication in Arthropods, M. Lehrer, ed. (Birkhäuser, Basel, 1997), pp. 145–185.
  20. N. Shashar, T. W. Cronin, L. B. Wolff, M. A. Condon, “The polarization of light in a tropical rain forest,” Biotropica 30, 275–285 (1998). [CrossRef]
  21. T. Labhart, E. P. Meyer, “Detectors for polarized skylight in insects: a survey of ommatidial specializations in the dorsal rim area of the compound eye,” Microsc. Res. Tech. 47, 368–379 (1999). [CrossRef] [PubMed]
  22. M. J. Freake, “Evidence for orientation using the E-vector direction of polarized light in the sleepy lizard Tiliqua rugosa,” J. Exp. Biol. 202, 1159–1166 (1999).
  23. K. von Frisch, The Dance Language and Orientation of Bees (Harvard U. Press, Cambridge, Mass., 1967).
  24. T. Ramskou, “Solstenen,” Skalk 2, 16–17 (1967).
  25. T. Ramskou, Solstenen—Primitiv Navigation I Norden for Kompasset (Rhodos, Copenhagen, 1969).
  26. W. Britton, “The Britton Viking sun-stone expedition,” Nutr. Today, May/June1972, pp. 14–23.
  27. B. E. Schaefer, “Vikings and polarization sundials,” Sky Telesc. 1997(5), 91–94.
  28. M. L. Brines, J. L. Gould, “Skylight polarization patterns and animal orientation,” J. Exp. Biol. 96, 69–91 (1982).
  29. K. L. Coulson, Polarization and Intensity of Light in the Atmosphere (A. Deepak, Hampton, Va., 1988).
  30. J. A. North, M. J. Duggin, “Stokes vector imaging of the polarized sky-dome,” Appl. Opt. 36, 723–730 (1997). [CrossRef] [PubMed]
  31. K. J. Voss, Y. Liu, “Polarized radiance distribution measurements of skylight. I. System description and characterization,” Appl. Opt. 36, 6083–6094 (1997). [CrossRef] [PubMed]
  32. J. Gál, G. Horváth, V. B. Meyer-Rochow, R. Wehner, “Polarization patterns of the summer sky and its neutral points measured by full-sky imaging polarimetry in Finnish Lapland north of the Arctic Circle,” Proc. R. Soc. London Ser. A 457, 1385–1399 (2001). [CrossRef]
  33. G. Horváth, A. Barta, J. Gál, B. Suhai, O. Haiman, “Ground-based full-sky imaging polarimetry of rapidly changing skies and its use for polarimetric cloud detection,” Appl. Opt. 41, 543–559 (2002). [CrossRef] [PubMed]
  34. I. Pomozi, G. Horváth, R. Wehner, “How the clear-sky angle of polarization pattern continues underneath clouds: full-sky measurements and implications for animal orientation,” J. Exp. Biol. 204, 2933–2942 (2001). [PubMed]
  35. G. P. Können, Polarized Light in Nature (Cambridge U. Press, Cambridge, UK, 1985).

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