Inversion problems in radiative transfer theory - The Backus-Gilbert formalism

Physics – Geophysics

Scientific paper

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Inversions, Limb Darkening, Radiation Distribution, Radiative Transfer, Atmospheric Models, Error Analysis, Geophysics, Kernel Functions, Lagrange Multipliers, Linear Systems

Scientific paper

The method introduced by Backus and Gilbert to study geophysical inversion problems may be readily applied to the inversion problems of radiation transfer theory. Using the inversion of limb-darkening data as an example, we show how the method provides a quantitative estimate of the amount and reliability of the information that can be extracted from a given set of noisy data.

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