OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 16, Iss. 7 — Jul. 1, 1999
  • pp: 1715–1723

Light-scattering coefficient of seawater for arbitrary concentrations of hydrosols

Vladimir I. Haltrin  »View Author Affiliations


JOSA A, Vol. 16, Issue 7, pp. 1715-1723 (1999)
http://dx.doi.org/10.1364/JOSAA.16.001715


View Full Text Article

Enhanced HTML    Acrobat PDF (315 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The scattering coefficient of water as a function of concentration of hydrosol particles is calculated. A new quantum-mechanical approach to calculate the multiple-scattering phenomenon in seawater is proposed. The approach is based on Maxwell’s equations for the light fields in stochastically scattering water with hydrosols. The water is modeled as a thermally fluctuating medium filled with the particles. It is found that at small concentrations of scatterers the scattering coefficient is linear in the concentration. At higher values of concentrations the dependence on the concentration may be approximated by a power law.

© 1999 Optical Society of America

OCIS Codes
(010.0010) Atmospheric and oceanic optics : Atmospheric and oceanic optics
(010.4450) Atmospheric and oceanic optics : Oceanic optics

History
Original Manuscript: August 3, 1998
Revised Manuscript: February 16, 1999
Manuscript Accepted: February 16, 1999
Published: July 1, 1999

Citation
Vladimir I. Haltrin, "Light-scattering coefficient of seawater for arbitrary concentrations of hydrosols," J. Opt. Soc. Am. A 16, 1715-1723 (1999)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-7-1715


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. Preliminary results of this paper have been partially presented at the 1997 International Geoscience and Remote Sensing Symposium, Denver, Colorado,2 and the 1998 Ocean Sciences Meeting, San Diego, California.3
  2. V. I. Haltrin, “Light scattering coefficient of water at concentrations of hydrosols typical for lakes and shallow marine waters,” in Proceedings of the Twelfth International Conference Applied Geologic Remote Sensing (ERIM International, Denver, Colo., 1997), Vol. I, pp. 417–424.
  3. V. I. Haltrin, “Nonlinear concentrational dependence of the water light scattering coefficient,” in Supplement to EOS Transactions (American Geophysical Union, Washington, D.C., 1998), Vol. 79, abstract OS12D-11.
  4. L. Prieur, S. Sathyendranath, “An optical classification of coastal and oceanic waters based on the specific spectral absorption curves of phytoplankton pigments, dissolved organic matter, and other particulate materials,” Limnol. Oceanogr. 26, 671–689 (1981). [CrossRef]
  5. D. K. Clark, E. T. Backer, A. E. Strong, “Upwelled spectral radiance distribution in relation to particular matter in water,” Boundary-Layer Meteorol. 18, 287–298 (1980). [CrossRef]
  6. U. Frish, “Wave propagation in random media,” in Probabilistic Methods in Applied Mathematics, A. T. Bharucha-Reid, ed. (Academic, New York, 1968), Vol. I, pp. 75–198.
  7. H. A. Gould, “Use of the Bethe–Salpeter equation in transport theory,” in Lectures in Theoretical Physics, Vol. IXC: Kinetic Theory, W. E. Brittin, ed. (Gordon and Breach, New York1967), pp. 651–691.
  8. M. Kaku, Quantum Field Theory: A Modern Introduction (Oxford U. Press, New York, 1993).
  9. J. B. Hartle, S. W. Hawking, “Wave function of the universe,” Phys. Rev. D 28, 2960–2975 (1983). [CrossRef]
  10. M. B. Green, J. H. Schwartz, E. Witten, Superstring Theory (Cambridge U. Press, Cambridge, UK, 1987), Vols. I and II.
  11. R. D. Mattuck, A Guide to Feynman Diagrams in the Many-Body Problem (Dover, New York, 1976).
  12. A. J. Drummond, M. P. Thekaekara, eds. The Extraterrestrial Solar Spectrum (Institute of Environmental Science, Mount Prospect, Ill., 1973).
  13. K. S. Shifrin, Physical Optics of Ocean Water (American Institute of Physics, New York, 1988).
  14. V. I. Haltrin, “Self-consistent approach to the solution of the light transfer problem for irradiances in marine waters with arbitrary turbidity, depth and surface illumination. I. Case of absorption and elastic scattering,” Appl. Opt. 37, 3773–3784 (1998). [CrossRef]
  15. V. I. Haltrin, G. W. Kattawar, “Self-consistent solutions to the equation of transfer with elastic and inelastic scattering in oceanic optics. I. Model.” Appl. Opt. 32, 5356–5367 (1993). [CrossRef] [PubMed]
  16. V. I. Haltrin, A. D. Weidemann, “A method and algorithm of computing apparent optical properties of coastal sea waters,” in Remote Sensing for a Sustainable Future, Proceedings of the 1996 International Geoscience and Remote Sensing Symposium (Institute of Electrical and Electronics Engineers, New York, 1996), pp. 305–309.
  17. V. I. Haltrin, “Algorithm for computing apparent optical properties of shallow waters under arbitrary surface illumination,” in Proceedings of the Third International Airborne Remote Sensing Conference (Environmental Research Institute of Michigan, Ann Arbor, Mich., 1997), Vol. I, pp. 463–470.
  18. C. Acquista, J. L. Anderson, “A derivation of the radiative transfer equation for partially polarized light from quantum electrodynamics,” Ann. Phys. (N.Y.) 106, 435–443 (1977). [CrossRef]
  19. D. Bugniolo, “Transport equation for the spectral density of a multiple-scattered electromagnetic field,” J. Appl. Phys. 31, 1176–1182 (1960). [CrossRef]
  20. P. E. Scott, “A transport equation for the multiple scattering of electromagnetic waves,” J. Phys. A 1, 675–689 (1968). [CrossRef]
  21. K. M. Watson, “Quantum mechanical transport theory. I. Incoherent processes,” Phys. Rev. 118, 886–898 (1960). [CrossRef]
  22. S. M. Rytov, Yu. A. Kravtsov, V. I. Tatarskii, Principles of Statistical Radiophysics, Vol. 4: Wave Propagation through Random Media (Springer-Verlag, New York, 1989).
  23. V. I. Tatarskii, The Effects of Turbulent Atmosphere on Wave Propagation (U.S. Department of Commerce, National Technical Information Service, Springfield, Va., 1971).
  24. The correct scalar equation for transfer that does not ignore polarization effects was recently proposed in Ref. 25.
  25. G. C. Pomraning, N. J. McCormick, “Approximate scalar equation for polarized radiative transfer,” J. Opt. Soc. Am. A 15, 1932–1939 (1998). [CrossRef]
  26. P. M. Morse, H. Feshbach, Methods of Theoretical Physics, Parts 1 and 2 (McGraw-Hill, New York, 1953).
  27. A. A. Abrikosov, L. P. Gorkov, I. E. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics (Dover, New York, 1963).
  28. L. D. Landau, E. M. Lifshitz, Electrodynamics of Continuous Media (Pergamon, New York, 1960).
  29. J. P. Boon, S. Yip, Molecular Hydrodynamics (Dover, New York, 1980).
  30. G. E. Uhlenbeck, L. S. Ornstein, “On the theory of Brownian motion,” Phys. Rev. 36, 823–841 (1930). [CrossRef]
  31. M. S. Wang, G. E. Uhlenbeck, “On the theory of Brownian motion. II,” Rev. Mod. Phys. 17, 323–342 (1945). [CrossRef]
  32. J. L. Lebowitz, E. Rubin, “Dynamical study of Brownian motion,” Phys. Rev. 131, 2381–2396 (1963). [CrossRef]
  33. G. W. Ford, M. Kac, P. Mazur, “Statistical mechanics of ensembles of coupled oscillators,” J. Math. Phys. (N.Y.) 6, 504–515 (1965). [CrossRef]
  34. A. Einstein, Investigations on the Theory of the Brownian Movement (Dover, New York, 1956).
  35. T. Matsubara, “A new approach to quantum-statistical mechanics,” Prog. Theor. Phys. 14, 351–367 (1955). [CrossRef]
  36. H. C. Van De Hulst, Light Scattering by Small Particles (Dover, New York, 1981).
  37. The root is regarded as physical if it behaves in accordance with physics, i.e., it is positive, is linear in concentrations when concentrations are small, and monotonically increases with the increase in concentration.

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