On the nonuniqueness of solutions for nonlinear integral equations in radiative transfer theory |
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| Authors: | W.A. De Rooij H. Domke |
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| Affiliation: | Department of Physics and Astronomy, Free University, De Boelelaan 1081, 1081 HV Amsterdam, The Netherlands;Central Institute for Astrophysics, Telegrafenberg, Potsdam, Germany Democratic Republic |
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| Abstract: | The nonuniqueness problem is considered for the nonlinear integral equations satisfied by the reflection and transmission matrices of homogeneous plane-parallel atmospheres. The analysis of the problems for semi-infinite and finite atmospheres is based on a recently developed biorthogonolity concept. Explicit expressions for nonphysical solutions are derived. The structure of these solutions reveal that iterative solution procedures may easily yield nonphysical results, if no proper attention is paid to certain linear constraints. |
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