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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. 18, Iss. 4 — Apr. 1, 2001
  • pp: 883–887

Reflection and transmission of polarized light by optically thick weakly absorbing random media

Alexander A. Kokhanovsky  »View Author Affiliations


JOSA A, Vol. 18, Issue 4, pp. 883-887 (2001)
http://dx.doi.org/10.1364/JOSAA.18.000883


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Abstract

Simple analytical relations for reflection and transmission matrices of plane-parallel layers of random media with discrete particles are presented. They can be used for rapid estimation of intensity and polarization characteristics of reflected and transmitted light beams under arbitrary illumination of a layer. The accuracy of the analytical formulas obtained increases with the optical thickness τ of a layer. Thus equations are applicable only at large values of τ (τ > 5). Another limitation is due to the probability of photon absorption β, which should be rather low (β < 0.05–0.1, depending on the optical characteristics in question).

© 2001 Optical Society of America

OCIS Codes
(010.1290) Atmospheric and oceanic optics : Atmospheric optics
(010.1310) Atmospheric and oceanic optics : Atmospheric scattering
(120.0280) Instrumentation, measurement, and metrology : Remote sensing and sensors
(260.2130) Physical optics : Ellipsometry and polarimetry
(290.4210) Scattering : Multiple scattering
(290.7050) Scattering : Turbid media

Citation
Alexander A. Kokhanovsky, "Reflection and transmission of polarized light by optically thick weakly absorbing random media," J. Opt. Soc. Am. A 18, 883-887 (2001)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-18-4-883


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References

  1. H. C. van de Hulst, Multiple Light Scattering (Academic, New York, 1980), Vols. 1 and 2.
  2. W. M. F. Wauben, “Multiple scattering of polarized radiation in planetary atmospheres,” Ph.D. thesis (Free University of Amsterdam, Enschede, The Netherlands, 1992).
  3. H. C. van de Hulst, “Radiative transfer in thick atmospheres with an arbitrary scattering function,” Bull. Astron. Inst. Neth. 20, 77–86 (1968).
  4. H. Domke, “Linear Fredholm integral equations for radiative transfer problems in finite plane-parallel media. II. Embedding in a semi-infinite medium,” Astron. Nachr. 299, 95–102 (1978).
  5. W. A. de Rooij, “Reflection and transmission of polarized light by planetary atmospheres,” Ph.D. thesis (Free University of Amsterdam, Utrecht, The Netherlands, 1985).
  6. E. P. Zege, A. P. Ivanov, and I. L. Katsev, Image Transfer in a Scattering Medium (Springer-Verlag, Berlin, 1991).
  7. A. A. Kokhanovsky, Light Scattering Media Optics (Wiley-Praxis, Chichester, UK, 1999).
  8. N. Umow, “Chromatische Depolarisation durch Lichtzerstreuung,” Phyz. Z. 6, 674–676 (1905).
  9. B. Hapke, Theory of Reflectance and Emittance Spectroscopy (Cambridge U. Press, Cambridge, UK, 1993).

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