Solution of radiative transfer in a one-dimensional anisotropic scattering media with different boundary conditions using the DRESOR method

2008 ◽  
Vol 37 (3) ◽  
pp. 138-152 ◽  
Author(s):  
Zhi-Feng Huang ◽  
Qiang Cheng ◽  
Cheng He ◽  
Huai-Chun Zhou
Keyword(s):  
Radiative Transfer ◽  
Boundary Conditions ◽  
Anisotropic Scattering ◽  
Scattering Media ◽  
Different Boundary Conditions ◽  
One Dimensional

Discrete space theory of radiative transfer I. Fundamentals

1969 ◽  
Vol 313 (1513) ◽  
pp. 183-197 ◽  
Keyword(s):  
Radiative Transfer ◽  
Star Product ◽  
Formal Theory ◽  
Space Theory ◽  
Scattering Media ◽  
One Dimensional ◽  
Infinitesimal Generators ◽  
Arbitrary Thickness ◽  
Internal Sources ◽  
Physical Constitution

This paper sets out a formal theory of radiative transfer in one-dimensional scattering media of arbitrary physical constitution. The theory is based on an extension of the treatment of Redheffer, in which the response of a layer of arbitrary thickness to fluxes incident on its boundaries is described by a certain linear operator. Juxtaposition of two such layers gives a third layer, whose operator can be related to those of its constituents by an operation designated as the star product. It is shown that this set of operators constitutes a semigroup under the star product, and that the infinitesimal generators of the semigroup can be computed in term s of the physical properties of the medium , point by point. This makes it possible to write equivalent discrete and differential equations from both of which transmission and reflexion operators, the emission due to internal sources, and the internal fluxes at prescribed levels in the medium can be obtained.

An Approximate Solution to Radiative Transfer in Two-Dimensional Rectangular Enclosures

1997 ◽  
Vol 119 (4) ◽  
pp. 738-745 ◽  
Author(s):  
J. B. Pessoa-Filho ◽  
S. T. Thynell
Keyword(s):  
Radiative Transfer ◽  
Iterative Solution ◽  
Anisotropic Scattering ◽  
Solution Procedure ◽  
Two Dimensional ◽  
Scattering Media ◽  
Discontinuous Nature ◽  
Selection Of ◽  
Iterative Solution Procedure ◽  
Numerical Approaches

The application of a new approximate technique for treating radiative transfer in absorbing, emitting, anisotropically scattering media in two-dimensional rectangular enclosures is presented. In its development the discontinuous nature of the radiation intensity, stability of the iterative solution procedure, and selection of quadrature points have been addressed. As a result, false scattering is eliminated. The spatial discretization can be formed without considering the chosen discrete directions, permitting a complete compatibility with the discretization of the conservation equations of mass, momentum, and energy. The effects of anisotropic scattering, wall emission, and gray-diffuse surfaces are considered for comparison with results available in the literature. The computed numerical results are in excellent agreement with those obtained by other numerical approaches.

The Solution of Transient Radiative Transfer With Collimated Incident Serial Pulse in a Plane-Parallel Medium by the DRESOR Method

2008 ◽  
Vol 130 (10) ◽  
Author(s):  
Qiang Cheng ◽  
Huai-Chun Zhou ◽  
Zhi-Feng Huang ◽  
Yong-Lin Yu ◽  
De-Xiu Huang
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Radiative Transfer ◽  
Incident Radiation ◽  
Anisotropic Scattering ◽  
Time Dependent ◽  
Temporal Response ◽  
One Dimensional ◽  
Unit Energy ◽  
The Monte Carlo Method

A time-dependent distribution of ratios of energy scattered by the medium or reflected by the boundary surfaces (DRESOR) method was proposed to solve the transient radiative transfer in a one-dimensional slab. This slab is filled with an absorbing, scattering, and nonemitting medium and exposed to a collimated, incident serial pulse with different pulse shapes and pulse widths. The time-dependent DRESOR values, representing the temporal response of an instantaneous, incident pulse with unit energy and the same incident direction as that for the serial pulse, were proposed and calculated by the Monte Carlo method. The temporal radiative intensity inside the medium with high directional resolution can be obtained from the time-dependent DRESOR values. The transient incident radiation results obtained by the DRESOR method were compared to those obtained with the Monte Carlo method, and good agreements were achieved. Influences of the pulse shape and width, reflectivity of the boundary, scattering albedo, optical thickness, and anisotropic scattering on the transient radiative transfer, especially the temporal response along different directions, were investigated.

A Monte Carlo Study of the Transient Radiative Transfer Within the One-Dimensional Multi-Layered Slab

2000 ◽  
Author(s):  
A. Sawetprawichkul ◽  
P.-F. Hsu ◽  
K. Mitra ◽  
M. Sakami
Keyword(s):  
Monte Carlo ◽  
Radiative Transfer ◽  
Short Pulse ◽  
Incident Beam ◽  
Monte Carlo Study ◽  
Scattering Media ◽  
Slab Geometry ◽  
Deterministic Models ◽  
One Dimensional ◽  
Monte Carlo Studies

Abstract Short pulse lasers are considered a useful tool for material processing and diagnostics. Only recently, fundamental understanding of the pulse laser interactions with materials gained much attention. The analysis of the underlying process involves solving the transient radiative transfer equation, which is very challenging, and most prior work relied on the approximate models. In this paper, a time-dependent Monte Carlo method is used to study the transient radiative transfer within the nonhomogeneous absorbing and scattering media. The Monte Carlo results compared very well with the accurate deterministic models and such comparisons have been lacking in many prior Monte Carlo studies. The problem of interest has one-dimensional multi-layered slab geometry. Two different media are examined; a two-layer slab with different absorption and scattering coefficients in each layer; and a three-layer medium with different scattering albedo in the mid-layer. The temporal spreads of the transmittance and reflectance of a pulsed, collimated incident beam are obtained. The photon propagation across the interface and the resultant output radiative signatures due to the layered properties are discussed in detail.

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