scholarly journals EXAMINATION OF DIFFUSION APPROXIMATION METHOD FOR ROSS'ES RADIATION TRANSFER EQUATION WITHIN PLANT CANOPY

1998 ◽  
Vol 63 (512) ◽  
pp. 9-15
Author(s):  
Hisashi HIRAOKA
Keyword(s):  
Approximation Method ◽  
Diffusion Approximation ◽  
Transfer Equation ◽  
Radiation Transfer ◽  
Plant Canopy ◽  
Radiation Transfer Equation

REVIEW OF APPROACHES TO DESCRIPTION OF LIGHT SCATTERING IN BIOLOGICAL TISSUE

2020 ◽  
Vol 3 ◽  
pp. 131-139
Author(s):  
I.O. KOZLOV
Keyword(s):  
Light Scattering ◽  
Diffusion Approximation ◽  
Biological Tissue ◽  
Transfer Equation ◽  
Radiation Transfer ◽  
Biological Tissues ◽  
Single Scattering ◽  
Ladder Approximation ◽  
Radiation Transfer Equation ◽  
Small Perturbation Method

The article discusses various approaches to modeling the processes of light scattering in biological tissues. The analytical radiation transfer equation, the Tversky approach, the Bethe–Salpeter equation, and the ladder approximation are considered. For cases of single scattering, the Kubelka–Munk approach, the diffusion approximation, and the small perturbation method are presented. The mathematical principles of the considered methods are disclosed in the paper and the limits of applicability in solving the radiation transfer equation are analyzed.

Analysis on the Applicability of Diffusion Approximation for the Radiative Transfer Equation with Compton Scattering

2016 ◽  
Vol 685 ◽  
pp. 60-64
Author(s):  
Ivan Yarovenko
Keyword(s):  
Radiative Transfer ◽  
Compton Scattering ◽  
Diffusion Approximation ◽  
Transfer Equation ◽  
Radiation Transfer ◽  
Radiative Transfer Equation ◽  
Radiation Transfer Equation ◽  
Numerical Examples

This paper deals with a diffusion approximation for the radiation transfer equation which takes into account Сompton scattering on electrons. An analytical and a numerical examples are used to compare the solution of radiation transfer equation with its diffusion approximation.

An extremum problem for the radiation transfer equation

2005 ◽  
Vol 13 (4) ◽  
pp. 365-382 ◽  
Author(s):  
I. V Prokhorov ◽  
I. P. Yarovenko ◽  
T. V. Krasnikova
Keyword(s):  
Transfer Equation ◽  
Radiation Transfer ◽  
Extremum Problem ◽  
Radiation Transfer Equation
Sign in / Sign up

Export Citation Format

Share Document