Title
On the extinction of radiation by a homogeneous but spatially correlated random medium
Document Type
Article
Publication Date
1-19-2001
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.
Publication Title
Journal of the Optical Society of America A
Recommended Citation
Kostinski, A.
(2001).
On the extinction of radiation by a homogeneous but spatially correlated random medium.
Journal of the Optical Society of America A,
18(8), 1929-1933.
http://doi.org/10.1364/JOSAA.18.001929
Retrieved from: https://digitalcommons.mtu.edu/physics-fp/239
Publisher's Statement
© 2001 Optical Society of America. Publisher’s version of record: https://doi.org/10.1364/JOSAA.18.001929