Ad hoc angular discretization of the radiative transfer equation
نویسندگان
چکیده
منابع مشابه
A Finite Element Treatment of the Angular Dependency of the Even-Parity Equation of Radiative Transfer
The present article introduces a new method to solve the radiative transfer equation (RTE). First, a finite element discretization of the solid angle dependence is derived, wherein the coefficients of the finite element approximation are functions of the spatial coordinates. The angular basis functions are defined according to finite element principles on subdivisions of the octahedron. In a se...
متن کاملA Comparison of Angular Discretization Schemes of the Hybrid Finite Volume/finite Element Method for the Solution of the Radiative Transfer Equation
A hybrid finite volume / finite element method was developed a few years ago to solve the radiative transfer equation. In this method, the radiation intensity is approximated as a linear combination of basis functions, dependent only on the angular direction. The coefficients of the approximation are unknown functions of the spatial coordinates. This Galerkin-like approximation is introduced in...
متن کاملValidity conditions for the radiative transfer equation.
We compare the radiative transfer equation for media with constant refractive index with the radiative transfer equation for media with spatially varying refractive indices [J. Opt. A Pure App. Opt. 1, L1 (1999)] and obtain approximate conditions under which the former equation is accurate for modeling light propagation in scattering media with spatially varying refractive indices. These condit...
متن کاملSolution of the Radiative Transfer Equation in the Separable Approximation
A method for the fast and accurate solution of the radiative transfer equation in plane-parallel media with coherent isotropic scattering is presented. This largely analytical approach uses the formalism of meromorphic functions in order to obtain the total solution, i.e. the angle and depth variation of the radiation field. A discretization of space and angle coordinates is not required. For t...
متن کاملLinear Form of the Radiative Transfer Equation Revisited
A linear form of the radiative transfer equation for the simultaneous retrieval of atmospheric temperature and absorbing gas profiles and surface temperature from radiance spectra was derived in the classic paper by Smith et al. (1991). The derivation started with the RTE difference between the true and initial radiance spectra. It is shown that there exists a dual representation of this RTE di...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Quantitative Spectroscopy and Radiative Transfer
سال: 2019
ISSN: 0022-4073
DOI: 10.1016/j.jqsrt.2018.12.032