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Journal ArticleDOI

Radiative transfer in stochastically inhomogeneous media

TLDR
In this paper, a new radiative transfer theory is developed for stochastically inhomogeneous scattering media, where the three-dimensional shapes and large scale structures of the media are modeled by stochastic interfaces separating regions of different scattering properties.
Abstract
New radiative transfer theory is developed for stochastically inhomogeneous scattering media. The three-dimensional shapes and large scale (compared to the mean free path) structures of the media are modeled by stochastic interfaces separating regions of different scattering properties. The small scale fluctuations are characterized by a pair-correlation function. The radiative transfer equation is extended to include individual scattering and propagation probabilities of a ray for each subregion as well as the probability for a ray to cross the interface between two subregions. The propagation probability is found to depend on the entire preceding path of the ray; the present formulation accounts for the two previous scatterings. A new adding/doubling algorithm is developed to solve this problem numerically. Transmission through a cloud layer and backward scattering seem to be particularly sensitive to inhomogeneities.

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Citations
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Journal ArticleDOI

Radiation transfer model intercomparison (RAMI) exercise

TL;DR: This first phase of model intercomparison has already proved useful in assessing the ability of the modeling community to generate similar radiation fields despite the large panoply of models that were tested.
Journal ArticleDOI

Coherent backscattering of light by complex random media of spherical scatterers: numerical solution

TL;DR: In this article, Monte Carlo techniques are described for the computation of reflection coefficient matrices for multiple scattering of light in plane-parallel random media of spherical scatterers. But the present multiple scattering theory is composed of coherent backscattering and radiative transfer.
Journal ArticleDOI

Absorption within inhomogeneous clouds and its parameterization in general circulation models

TL;DR: In this paper, the effect on absorption in clouds of having an inhomogeneous distribution of droplets is shown to depend on whether one replaces a homogeneous cloud by an inhmogeneous cloud that has the same mean optical thickness, or one having the same spherical albedo.
Journal ArticleDOI

Light scattering by media composed of semitransparent particles of different shapes in ray optics approximation: consequences for spectroscopy, photometry, and polarimetry of planetary regoliths

TL;DR: In this article, the authors derived a useful relationship between the hemispheric albedo, Aint, and the bi-directional reflectance, R, at phase angle 30°: logR(30°)=1.088logAint.

Asteroid Photometric and Polarimetric Phase Effects

TL;DR: In this article, the authors review progress in the photometric and polarimetric observations of asteroids, including theoretical and experimental advances in interpreting scattering and absorption of light by asteroid surfaces Photometric phase effects such as the opposition effect, the overall phase function, and the amplitude-phase relationship, provide insight into local physical characteristics of the surface, eg, surface roughness and porosity, and single-particle geometrical and optical properties Polarimetric phase effects, the negative degree of linear polarization in particular, unveil singleparticle properties beyond those derivable from photometry.
References
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The large-scale structure of the universe

TL;DR: Peebles as discussed by the authors argues that the evolution of the early universe went from a nearly uniform initial state to a progressively more irregular and clumpy universe, based on the largest known structures of the universe.
Book

A modern course in statistical physics

TL;DR: The Foundations of Statistical Mechanics 7. Equilibrium Statistical Mechanics 8. Order-Disorder Transitions and Renormalization Theory 9. Interacting Fluids 10. Hydrodynamic Processes near Equilbrium 11. Transport Theory 12.
Book

Theory of microwave remote sensing

TL;DR: In this article, a vector radiative transfer equation for nonspherical particles is developed for both active and passive remote sensing of earth terrains, and the effective propagation constants and backscattering coefficients are calculated and illustrated for dense media.
Journal ArticleDOI

Bidirectional reflectance spectroscopy. IV - The extinction coefficient and the opposition effect

TL;DR: In this paper, an analytical model was developed for the opposition effect (heiligenshein) in the case of light scattering from a semi-infinite, particulate medium with particles that are large relative to the wavelength.
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