Doubling and superposition methods in the presence of thermal emission

Computer Science – Numerical Analysis

Scientific paper

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Light Scattering, Optical Thickness, Photoabsorption, Radiative Transfer, Superposition (Mathematics), Thermal Emission, Computer Techniques, Iterative Solution, Mie Scattering, Numerical Analysis, Radiance, Radiation Absorption, Thermodynamic Equilibrium

Scientific paper

A procedure is described which can be readily employed to compute the net emission from finite or semiinfinite layers in which emission, absorption, and scattering are simultaneously taking place. A vector-matrix notation is used, intensity fields are defined by N-dimensional vectors, and scattering processes are represented by NxN matrices. Doubling and superposition methods are employed for scattering and absorption, an extension to include emission is discussed, and the computational method is outlined. Some sample results of calculations are presented for several combinations of optical thickness and single-scattering albedo as well as for isotropic and Mie scattering. Two consistency tests are applied to the numerical method.

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