Vegetation Radiative Transfer Modelling (Nadine Gobron) - PEER

Optical thickness
• The variable physical depth can be multiplied by the
optical factor S+K=E to transform into an optical thickness
↓
∂I
(z)
∂τ
τ
= −I
↓
z
∂z
= ∫ (S + K) ∂z
0
(1 + g)
(z) + ω
2
I
↓
(1 − g)
(z) + ω
2
I
↑
(z)
∂τ
(1)
↑
∂I
(z)
∂τ
= + I
↑
(z)
−
ω
(1 + g)
2
I
↑
(z)
−
ω
(1 − g)
2
I
↓
(z)
(2)
These last equations are typical two-stream equations
for the system.
Pinty, B. and M. M. Verstraete (1998) `Introduction to Radiation Transfer Modeling in Geophysical Media’, in From Urban
Air Pollution to Extra-Solar Planets, ERCA Volume 3 Edited by C. Boutron, EDP Sciences, Les Ulis, France, 67-87.
18