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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. 8 — Aug. 1, 2001
  • pp: 1929–1933

On the extinction of radiation by a homogeneous but spatially correlated random medium

Alexander B. Kostinski  »View Author Affiliations


JOSA A, Vol. 18, Issue 8, pp. 1929-1933 (2001)
http://dx.doi.org/10.1364/JOSAA.18.001929


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Abstract

Exponential extinction of incoherent radiation intensity in a random medium (sometimes referred to as the Beer–Lambert law) arises early in the development of several branches of science and underlies much of radiative transfer theory and propagation in turbid media with applications in astronomy, atmospheric science, and oceanography. We adopt a stochastic approach to exponential extinction and connect it to the underlying Poisson statistics of extinction events. We then show that when a dilute random medium is statistically homogeneous but spatially correlated, the attenuation of incoherent radiation with depth is often slower than exponential. This occurs because spatial correlations among obstacles of the medium spread out the probability distribution of photon extinction events. Therefore the probability of transmission (no extinction) is increased.

© 2001 Optical Society of America

OCIS Codes
(010.1290) Atmospheric and oceanic optics : Atmospheric optics
(030.5290) Coherence and statistical optics : Photon statistics
(030.5620) Coherence and statistical optics : Radiative transfer
(030.6600) Coherence and statistical optics : Statistical optics

History
Original Manuscript: June 6, 2000
Revised Manuscript: January 18, 2001
Manuscript Accepted: January 18, 2001
Published: August 1, 2001

Citation
Alexander B. Kostinski, "On the extinction of radiation by a homogeneous but spatially correlated random medium," J. Opt. Soc. Am. A 18, 1929-1933 (2001)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-18-8-1929

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