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Radiation of an isothermal plane-parallel layer

DOI: 10.1615/thermopedia.004710

Radiation of an Isothermal Plane-Parallel Layer

Leonid A. Dombrovsky

Following from: P1 approximation of the spherical harmonics method, The simplest approximations of double spherical harmonics, Solutions for one-dimensional radiative transfer problems

Leading to: An estimate of P1 approximation error for optically inhomogeneous media, Radiation of a nonisothermal layer of scattering medium, Diffusion approximation in multi-dimensional problems

The radiative transfer equation (RTE) for a homogeneous plane-parallel layer of an emitting, absorbing, and scattering isothermal medium with an azimuthally symmetric radiation field can be written in the following dimensionless form:

(1a)

where

(1b)
(1c)

Dimensionless quantity ω is called the albedo of a medium, or Schuster number. For brevity, subscript λ is omitted in designations of I, τ, ξ, and ω. The boundary conditions in s ...

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