Vegetation Radiative Transfer Modelling (Nadine Gobron) - PEER
Vegetation Radiative Transfer Modelling (Nadine Gobron) - PEER
Vegetation Radiative Transfer Modelling (Nadine Gobron) - PEER
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Extension to N Flux (2)<br />
In the limit when N goes to infinity, sums become integrals and<br />
the set of equations collapses into a single integro-differential<br />
equation:<br />
∂I<br />
( z,<br />
Ω)<br />
− μ<br />
∂τ<br />
+ ~ σ ~<br />
e<br />
( z,<br />
Ω)<br />
I(<br />
z,<br />
Ω)<br />
= σ s<br />
( z,<br />
Ω'<br />
→ Ω)<br />
I(<br />
z,<br />
Ω')<br />
dΩ'<br />
I (z, Ω ) represents the intensity (W m -2 sr -1 ) at point z in the<br />
exiting direction Ω,<br />
σ e (m -1 ) and σ s (m -1 sr -1 ) are the extinction and differential<br />
scattering coefficients, respectively, taken at the same point z<br />
along the direction Ω.<br />
∫<br />
4Π<br />
Pinty, B. and M. M. Verstraete (1998) `Introduction to Radiation <strong>Transfer</strong> Modeling in Geophysical Media’, in From Urban<br />
Air Pollution to Extra-Solar Planets, ERCA Volume 3 Edited by C. Boutron, EDP Sciences, Les Ulis, France, 67-87.<br />
21
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