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Formal solution of the radiative transfer equation
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Physics
Branch of physics
Astrophysics
Radiative transfer
Radiative transfer equation
Created
2026-09-24
Updated
2026-09-24
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For an outward ray through
a
nonscattering atmosphere,
I
ν
(
0
,
μ
)
=
I
ν
(
τ
b
,
μ
)
e
−
τ
b
/
μ
+
∫
0
τ
b
B
ν
[
T
(
t
)]
e
−
t
/
μ
μ
d
t
.
(1)
Table of contents
Eddington-Barbier relation
Formal solution of the radiative transfer equation
Eddington-Barbier relation
0
0
0
Formal solution of the radiative transfer equation
When the
source function
varies approximately linearly with
optical depth
, the emergent intensity obeys
I
ν
(
0
,
μ
)
≃
S
ν
(
τ
ν
=
μ
)
.
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(6)
Radiative transfer equation
Radiative transfer
Astrophysics
Branch of physics
Physics
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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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