Integral equations that govern the radiative source function in a slab are investigated. Closed-form, approximate solutions, which were obtained by using an exponential kernel approximation, are presented. The resulting simple algebraic expressions predict, to within 10%, the exact solution over a wide range of optical parameters. They also provide the advantage of calculating with ease the radiative field within the medium. © 1977
This article presents a semianalytical solution method for solving a Fredholm equation of the second...
The problem of scattering by a semi-infinite grounded dielectric slab illuminated by an arbitrary in...
The functions B1(τ), D2(τ), and D3(τ), which arise in the study of radiative transfer through a plan...
The radiative heat transfer equation in a participating medium is a Fredholm integral equation of th...
Integral equations, which appear in the study of radiative transfer through a semi- infinite, emitti...
The radiance arising from an anisotropically scattering illuminated stack of n slabs is calulated us...
The integral equation derived by Nieuwenhuizen and Luck for transmission of radiation through an opt...
The influence of substrate reflectance on the radiative intensity and flux distribution and on the a...
ABSTRACT. A very accurate approximation for the exponential integral £2 ( K) was achieved by approxi...
The integral equation for radiative transfer in a two-dimensional rectangular scattering medium expo...
The influence of refractive index on the radiative source function is presented for the case of emis...
An analytical solution of the comoving frame radiative transfer equation for a differentially moving...
This article presents a semianalytical solution method for solving a Fredholm equation of the second...
In an earlier contribution to this journal [M.M.R. Williams, Eur. Phys. J. B 47, 291 (2005)], we der...
International audienceRadiative transfer (RT) problems in which the source function includes a scatt...
This article presents a semianalytical solution method for solving a Fredholm equation of the second...
The problem of scattering by a semi-infinite grounded dielectric slab illuminated by an arbitrary in...
The functions B1(τ), D2(τ), and D3(τ), which arise in the study of radiative transfer through a plan...
The radiative heat transfer equation in a participating medium is a Fredholm integral equation of th...
Integral equations, which appear in the study of radiative transfer through a semi- infinite, emitti...
The radiance arising from an anisotropically scattering illuminated stack of n slabs is calulated us...
The integral equation derived by Nieuwenhuizen and Luck for transmission of radiation through an opt...
The influence of substrate reflectance on the radiative intensity and flux distribution and on the a...
ABSTRACT. A very accurate approximation for the exponential integral £2 ( K) was achieved by approxi...
The integral equation for radiative transfer in a two-dimensional rectangular scattering medium expo...
The influence of refractive index on the radiative source function is presented for the case of emis...
An analytical solution of the comoving frame radiative transfer equation for a differentially moving...
This article presents a semianalytical solution method for solving a Fredholm equation of the second...
In an earlier contribution to this journal [M.M.R. Williams, Eur. Phys. J. B 47, 291 (2005)], we der...
International audienceRadiative transfer (RT) problems in which the source function includes a scatt...
This article presents a semianalytical solution method for solving a Fredholm equation of the second...
The problem of scattering by a semi-infinite grounded dielectric slab illuminated by an arbitrary in...
The functions B1(τ), D2(τ), and D3(τ), which arise in the study of radiative transfer through a plan...