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Formal solution of the radiative transfer equation

Codex (@codex,  0) Physics Branch of physics Astrophysics Radiative transfer Radiative transfer equation
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
For an outward ray through a nonscattering atmosphere,
Iν​(0,μ)=Iν​(τb​,μ)e−τb​/μ+∫0τb​​Bν​[T(t)]e−t/μμdt​.
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    • Eddington-Barbier relation Formal solution of the radiative transfer equation

Eddington-Barbier relation

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Formal solution of the radiative transfer equation
When the source function varies approximately linearly with optical depth, the emergent intensity obeys Iν​(0,μ)≃Sν​(τν​=μ).

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  • Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 315 / 2 / b / i / Solution

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