OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 3 — Feb. 2, 2009
  • pp: 1671–1678

Estimating scattering of pure water from density fluctuation of the refractive index

Xiaodong Zhang and Lianbo Hu  »View Author Affiliations


Optics Express, Vol. 17, Issue 3, pp. 1671-1678 (2009)
http://dx.doi.org/10.1364/OE.17.001671


View Full Text Article

Enhanced HTML    Acrobat PDF (166 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The use of density derivative of the refractive index from the classic Lorentz-Lorenz equation or its variations performed poorly in estimating the scattering by water, leading to the alternative use of pressure derivative instead, which however has been scarcely measured due to its extremely low sensitivity. Recently, density derivative has been deduced directly from theoretical models. Three characterizations of density derivative of the refractive index were evaluated and scattering of water thus calculated converge with each other within 3.5% and agree with the measurement by Morel (Cahiers Oceanographiques, 20, 157, 1968) within 2% (with depolarization ratio = 0.039), all improving over the earlier estimates based on either density or pressure derivatives. Taking into account of uncertainty associated with the depolarization ratio, the prediction based on the model by Proutiere et al. (J. Phy. Chem., 96, 3485, 1992) still agrees with the measurement within the experimental errors (2%).

© 2009 Optical Society of America

OCIS Codes
(010.4450) Atmospheric and oceanic optics : Oceanic optics
(290.5840) Scattering : Scattering, molecules

ToC Category:
Scattering

History
Original Manuscript: December 4, 2008
Revised Manuscript: January 16, 2009
Manuscript Accepted: January 21, 2009
Published: January 27, 2009

Citation
Xiaodong Zhang and Lianbo Hu, "Estimating scattering of pure water from density fluctuation of the refractive index," Opt. Express 17, 1671-1678 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-3-1671


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. A. Morel, "Optical properties of pure water and pure sea water," in Optical Aspects of Oceanography, N. G. Jerlov, and E. S. Nielsen, eds., (Academic Press, New York, 1974), pp. 1-24.
  2. K. S. Shifrin, Physical Optics of Ocean Water (American Institute of Physics, New York, 1988).
  3. I. L. Fabelinskii, Molecular Scattering of Light (Plenum Press, New York, 1968).
  4. A. Morel, "Etude Experimentale de la diffusion de la lumiere par l'eau, les solutions de chlorure de sodium et l'eau de mer optiquement pures," Journal de Chimie Physique 10, 1359-1366 (1966).
  5. A. Morel, "Note au sujet des constantes de diffusion de la lumiere pour l'eau et l'eau de mer optiquement pures," Cahiers Oceanographiques 20, 157-162 (1968).
  6. M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic Press, New York, 1969).
  7. H. Buiteveld, J. H. M. Hakvoort, and M. Donze, "The optical properties of pure water," Proc. SPIE 2258, 174-183 (1994). [CrossRef]
  8. M. S. Twardowski, H. Claustre, S. A. Freeman, D. Stramski, and Y. Huot, "Optical backscattering properties of the "clearest" natural waters," Biogeosciences 4, 1041-1058 (2007). [CrossRef]
  9. A. Morel, B. Gentili, H. Claustre, M. Babin, A. Bricaud, J. Ras, and F. Tieche, "Optical properties of the "clearest" natural waters," Limnol. Oceanogr. 52, 217-229 (2007). [CrossRef]
  10. E. W. Washburn, International Critical Tables of Numerical Data, Physics, Chemistry and Technology (McGraw Book Co., New York, 1930).
  11. A. M. Evtyushenkov,and Y. F. Kiyachenko, "Determination of the dependence of liquid refractive index on pressure and temperature," Opt. Spectrosc. 52, 95-98 (1982).
  12. R. M. Waxler, C. E. Weir, and H. W. Schamp, "Effect of pressure and temperature upon the optical dispersion of Benzene, carbon tetrachloride and water," J. Res. Natl. Bur. Stand. 5, 489-498 (1964).
  13. R. W. Austin and G. Halikas, "The index of refraction of seawater," (Scripps Institute of Oceanography, La Jolla, 1974), p. 121.
  14. Z. Niedrich, "Dispersion interactions and the refractive index of liquids," Physica 128B, 69-75 (1985).
  15. H. Eisenberg, "Equation for the Refractive Index of Water," J. Chem. Phys. 43, 3887-3892 (1965). [CrossRef]
  16. A. Proutiere, E. Megnassan, and H. Hucteau, "Refractive index and density variations in pure liquids: A new theoretical relation," J. Phys. Chem. 96, 3485-3489 (1992). [CrossRef]
  17. A. Bot, "Comment on "Refractive index variations in pure liquids. A new theorectical relation," J. Phys. Chem. 97, 2804 (1993). [CrossRef]
  18. L. W. Tilton and J. K. Taylor, "Refractive index and dispersion of distilled water for visible radiation at temperature 0 to 60 C," J. Res. Natl. Bur. Stand. 20, 419 (1938).
  19. M. Jonasz and G. R. Fournier, Light Scattering by Particles in Water: Theoretical and Experimental Foundations (Academic Press, New York, 2007).
  20. R. S. Farinato and R. L. Rowell, "New values of the light scattering depolarization and anisotropy of water," J. Chem. Phys. 65, 593-595 (1976). [CrossRef]
  21. G. S. Kell, "Isothermal compressibility of liquid water at 1 atm," J. Chem. Eng. Data 15, 119-122 (1970). [CrossRef]
  22. X. Quan and E. S. Fry, "Empirical equation for the index of refraction of seawater," Appl. Opt. 34, 3477-3480 (1995). [CrossRef] [PubMed]
  23. P. D. T. Huibers, "Models for the wavelength dependence of the index of refraction of water," Appl. Opt. 36, 3785-3787 (1997). [CrossRef] [PubMed]
  24. P. E. Ciddor, "Refractive index of air: new equation for the visible and near infrared," Appl. Opt. 35, 1566-1573 (1996). [CrossRef] [PubMed]
  25. G. Cohen and H. Eisenberg, "Light scattering of water, deuterium oxide, and other pure liquids," J. Chem. Phys. 43, 3881-3887 (1965). [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.

Figures

Fig 1.
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited