Scattering layer properties Sample Clauses

Scattering layer properties. ‌ The layer La contains a set of aerosol classes characterized by their single scattering properties,
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Scattering layer properties. The layer La contains a set of mono-mode aerosol and cloud classes v characterized by their single scattering properties, i.e., the single scattering albedo ω0,v(λ˜) and phase function Φv(λ˜, Ωg) in the spectral bands λ˜ at the phase angle Ωg. These classes define the vertices encompassing the solution space (Figure 3). Concerning the aerosols, the different vertices representing fine and coarse mode are combined into this layer according to their respective optical thickness τv(λ˜) with the total aerosol optical thickness (AOT) τa(λ˜) of the layer being equal to Σ τa(λ˜) = va τva (λ˜) (11) Σ In the same way, the total cloud optical thickness (COT) is computed combining the different vertices associated to water and ice clouds: τc(λ˜) = vc τvc (λ˜) (12) − The phase function Φv(λ˜, Ωg) of a vertex is characterized by a limited number Nκ of Xxxxxxxx co- efficients equal to 2Nθ 1 where Nθ is the number of quadrature points used to solve the multiple scattering integral. The choice of this number results from a trade-off between accuracy and com- puter time. When Nκ is too small, the last Xxxxxxxx moment is often not equal to zero and the delta-M approximation is applied (Xxxxxxxx 1977). In that case, the αd coefficient of the delta-M approximation is equal to Φv(Nκ). The Xxxxxxxx coefficients κj, after application of the delta-M approximation, become j c = κj − αd 1 − α

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