A three‐dimensional analytic model for the scattering of a spherical bush

摘要: [1] Advanced climate models require a more realistic description of canopy radiation with reasonable computational efficiency. This paper develops the mathematics scattering from spherical object conceptualized to be bush provide building block that helps address this need models. It is composed homogeneous distribution individual smaller objects scatter isotropically. In limit small optical depth, incident will isotropically as sum scattered by all scatterers, but at large depth leaving in given direction reduced mutual shadowing objects. single limit, phase function and so albedo are obtained simple accurate analytic expressions derived integration numerical evaluation. Except thin canopies, hence albedos qualitatively quantitatively different than those 1-D modeling.