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

AB Kostinski - JOSA A, 2001 - opg.optica.org
… and connect it to the underlying Poisson statistics of extinction events. We … random medium
is statistically homogeneous but spatially correlated, the attenuation of incoherent radiation

On the extinction of radiation by a homogeneous but spatially correlated random medium: reply to comment

AB Kostinski - JOSA A, 2002 - opg.optica.org
… randomness (absence of correlations) on small scales. One of the consequences is that the
extinction of radiation in a negatively correlated random medium cannot be treated within the …

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

A Borovoi - JOSA A, 2002 - opg.optica.org
… exponential extinction law is valid for homogeneous scattering … power extinction laws appeared
to be valid for spatially correlated … which of the power extinction laws should be preferred. …

Radiative transfer theory for inhomogeneous media with random extinction and scattering coefficients

RM Manning - Journal of mathematical physics, 1989 - pubs.aip.org
… of extinction and scattering have on radiation propagating into … medium, characterized by
the two-dimensional correlation … that ( 1) statistical homogeneity in the spatial coordinate r of (…

Super-exponential extinction of radiation in a negatively correlated random medium

RA Shaw, AB Kostinski, DD Lanterman - Journal of quantitative …, 2002 - Elsevier
… attenuation of radiation in a homogeneous random medium. … problem we must consider
two “countable” random variables… To characterize the degree of spatial correlation between …

Photon propagation in heterogeneous optical media with spatial correlations: enhanced mean-free-paths and wider-than-exponential free-path distributions

AB Davis, A Marshak - Journal of Quantitative Spectroscopy and Radiative …, 2004 - Elsevier
… Moreover, if spatial correlations in the extinction field extend … the inverse of average extinction
in a variable medium. In a … the response of radiation flow to the spatial variability, but not in …

[PDF][PDF] Radiation transport through random media represented as measurable functions: Positive versus negative spatial correlations

AB Davis, M Mineev - 2008 - osti.gov
… problem of radiation transport in heterogeneous 3D media from … nature of the correlations in
the random optical medium. We … I-point statistics of the extinction field such as the probability …

A generalized linear transport model for spatially correlated stochastic media

AB Davis, F Xu - Journal of Computational and Theoretical …, 2014 - Taylor & Francis
… for the spatially heterogeneous stochastic medium. Examples … conditions for homogeneous—or
random but “homogenized”… the average extinction encountered by radiation propagating …

Effective propagation kernels in structured media with broad spatial correlations, illustration with large-scale transport of solar photons through cloudy atmospheres

AB Davis - Computational Methods in Transport: Granlibakken …, 2006 - Springer
… by large-scale radiation budget considerations in climate … medium properties that can be
applied to a homogeneous RT … than in a uniform medium associated with the mean extinction, …

[PDF][PDF] Mean propagation kernels for transport in correlated stochastic media at unresolved scales, illustration with a problem in atmospheric radiation

AB Davis - 2007 - Citeseer
… This statistical look at the extinction of un-collided particle … on random spatial variability, there
is no “effective medium” per … it yields looks like the homogeneous case, but with a modified …