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Radiative Transfer Model Vijay Natraj. Why RADIANT?. Standard methods for multiple scattering RT calculations are: Eigenmatrix (e.g. DISORT) Doubling-adding Doubling methods are inefficient for optically thick layers
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Radiative Transfer Model Vijay Natraj
Why RADIANT? • Standard methods for multiple scattering RT calculations are: • Eigenmatrix (e.g. DISORT) • Doubling-adding • Doubling methods are inefficient for optically thick layers • Eigenmatrix methods re-compute entire atmosphere even if properties change only in one layer (e.g., computing PDs) • Goal: Remove above weaknesses
RADIANT: Overview • Plane-parallel, multi-stream RT model • Allows for computation of radiances for user-defined viewing angles • Includes effects of absorption, emission, and multiple scattering • Can operate in a solar only, thermal only, or combined fashion • Allows stipulation of multiple phase functions due to multiple constituents in individual layers • Allows stipulation of the surface reflectivity and surface type (lambertian or non-lambertian)
RADIANT: Solution Methodology • Convert solution of the RTE (a boundary value problem) into a initial value problem • Using the interaction principle • Applying the lower boundary condition for the scene at hand • Build individual layers (i.e. determine their global scattering properties) via an eigenmatrix approach • Combine layers of medium using adding to build one “super layer” describing entire medium • Apply the radiative input to the current scene to obtain the RT solution for that scene The Interaction Principle I+(H) = T(0,H)I+(0) + R(H,0)I-(H) + S(0,H) Lower Boundary Condition: I+(0) = RgI-(0) + agfoe-/o
Numerical Efficiency: Eigenmatrix vs. Doubling Send to first page
Numerical Efficiency: RADIANT vs. DISORT2 Show new figure