OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 40, Iss. 3 — Jan. 20, 2001
  • pp: 400–412

Monte Carlo and multicomponent approximation methods for vector radiative transfer by use of effective Mueller matrix calculations

H. Hatcher Tynes, George W. Kattawar, Eleonora P. Zege, Iosif L. Katsev, Alexander S. Prikhach, and Ludmila I. Chaikovskaya  »View Author Affiliations


Applied Optics, Vol. 40, Issue 3, pp. 400-412 (2001)
http://dx.doi.org/10.1364/AO.40.000400


View Full Text Article

Enhanced HTML    Acrobat PDF (249 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

For single scattering in a turbid medium, the Mueller matrix is the 4 × 4 matrix that multiplies the incident Stokes vector to yield the scattered Stokes vector. This matrix contains all the information that can be obtained from an elastic-scattering system. We have extended this concept to the multiple-scattering domain where we can define an effective Mueller matrix that, when operating on any incident state of light, will yield the output state. We have calculated this matrix using two completely different computational methods and compared the results for several simple two-layer turbid systems separated by a dielectric interface. We have shown that both methods give reliable results and therefore can be used to accurately predict the scattering properties of turbid media.

© 2001 Optical Society of America

OCIS Codes
(030.5620) Coherence and statistical optics : Radiative transfer
(290.4210) Scattering : Multiple scattering

History
Original Manuscript: April 24, 2000
Revised Manuscript: October 4, 2000
Published: January 20, 2001

Citation
H. Hatcher Tynes, George W. Kattawar, Eleonora P. Zege, Iosif L. Katsev, Alexander S. Prikhach, and Ludmila I. Chaikovskaya, "Monte Carlo and multicomponent approximation methods for vector radiative transfer by use of effective Mueller matrix calculations," Appl. Opt. 40, 400-412 (2001)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-40-3-400


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1981).
  2. S. Chandrasekhar, Radiative Transfer (Dover, Toronto, Ontario, 1960).
  3. J. Lenoble, Radiative Transfer in Scattering and Absorbing Atmospheres: Standard Computational Procedures (Deepak, Hampton, Va., 1985).
  4. G. W. Kattawar, C. N. Adams, “Stokes vector calculations of the submarine light field in an atmosphere-ocean with scattering according to a Rayleigh phase matrix: effect of interface refractive index on radiance and polarization,” Limnol. Oceanogr. 34, 1453–1472 (1989). [CrossRef]
  5. E. P. Zege, I. L. Katsev, I. N. Polonsky, “Multicomponent approach to light propagation in clouds and mists,” Appl. Opt. 32, 2803–2812 (1993). [CrossRef] [PubMed]
  6. E. P. Zege, L. I. Chaikovskaya, “New approach to the polarized radiative transfer problem,” J. Quant. Spectrosc. Radiat. Transfer 55, 19–31 (1996). [CrossRef]
  7. A. P. Ivanov, E. P. Zege, I. L. Katsev, Image Transfer Through a Scattering Medium (Springer-Verlag, Heidelberg, 1991).
  8. J. von Neumann, “Various techniques used in connection with random digits,” J. Res. Natl. Bur. Stand. 5, 36–38 (1951).
  9. G. W. Kattawar, G. N. Plass, J. A. Guinn, “Monte Carlo calculations of the polarization of radiation in the Earth’s atmosphere-ocean system,” J. Phys. Oceanogr. 3, 353–372 (1973). [CrossRef]
  10. J. D. Jackson, Classical Electrodynamics, 2nd ed. (Wiley, New York, 1975).
  11. C. D. Mobley, Light and Water: Radiative Transfer in Natural Waters (Academic, San Diego, Calif., 1994).
  12. I. L. Katsev, E. P. Zege, A. S. Prikhach, I. N. Polonsky, “Efficient technique to determine backscattered light power for various atmospheric and oceanic sounding and imaging systems,” J. Opt. Soc. Am. A 14, 1338–1346 (1997). [CrossRef]
  13. J. L. Deueze, M. Herman, R. Santer, “Fourier series expansion of the transfer equation in the atmosphere–ocean system,” J. Quant. Spectrosc. Radiat. Transfer 41, 483–494 (1989). [CrossRef]
  14. K. Masuda, T. Takashima, “Computational accuracy of radiation emerging from the ocean surface in the model atmosphere–ocean system,” Pap. Meteorol. Geophys. 37, 1–13 (1986). [CrossRef]
  15. G. N. Plass, T. J. Humphries, G. W. Kattawar, “Ocean-atmosphere interface: its influence on radiation,” Appl. Opt. 20, 917–931 (1981). [CrossRef] [PubMed]
  16. Concise Dictionary of Scientific Biography (Scribner, New York, 1981), p. 643. Although in the English-speaking community a convention of spelling Snel’s name with two l’s has arisen, Willebrord Snel von Royen used only one l in his last name.
  17. K. L. Coulson, J. V. Dave, Z. Sekera, Tables Related to Radiation Emerging from a Planetary Atmosphere with Rayleigh Scattering (University of California, Berkeley, Calif., 1960).
  18. S. Chandrasekhar, D. D. Elbert, “The illumination and polarization of the sunlit sky on Rayleigh scattering,” Trans. Am. Phil. Soc. B 44, 643–728 (1954). [CrossRef]
  19. R. S. Fraser, “Atmospheric neutral points over water,” J. Opt. Soc. Am. 58, 1029–1031 (1968). [CrossRef]
  20. J. T. Adams, G. W. Kattawar, “Neutral points in an atmosphere–ocean system. 1: Upwelling light field,” Appl. Opt. 36, 1976–1986 (1997). [CrossRef] [PubMed]
  21. G. W. Kattawar, M. J. Rakovic, “Virtues of Mueller matrix imaging for underwater target detection,” Appl. Opt. 38, 6431–6438 (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