Numerically stable algorithm for discrete-ordinate-method radiative transfer in multiple scattering and emitting layered media

Physics – Optics

Scientific paper

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Atmospheric Scattering, Discrete Functions, Electromagnetic Scattering, Optical Thickness, Radiative Transfer, Eigenvalues, Eigenvectors, Fortran, Legendre Functions

Scientific paper

The transfer of monochromatic radiation in a scattering, absorbing, and emitting plane-parallel medium with a specified bidirectional reflectivity at the lower boundary is considered. The equations and boundary conditions are summarized. The numerical implementation of the theory is discussed with attention given to the reliable and efficient computation of eigenvalues and eigenvectors. Ways of avoiding fatal overflows and ill-conditioning in the matrix inversion needed to determine the integration constants are also presented.

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