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equation of radiative transfer

(RTE, transfer equation, radiative transfer equation)
(equation describing energy transfer by EMR)

An equation of radiative transfer (or radiative transfer equation or RTE or transfer equation) is an equation that describes radiative transfer, the transfer of energy by EMR through a gas or plasma, taking into account factors that can remove photons (absorption) and can insert them (emission). One form:

1 ∂      ^
— ——Iν + Ω˙∇Iν + (kν,s + kν,a)Iν = jν + 1/(4π) kν,sIν
c ∂t

Variants of the equation assume equilibrium (no change over time), an approximation of the composite of all wavelengths (gray atmosphere, using the Rosseland mean opacity), a directional component (Eddington approximation) and/or that variation in the medium is in a single direction (plane-parallel atmosphere). These are used in models of stellar structure.


Referenced by:
radiative transfer (RT)
source function (S)