Higher order perturbation theory applied to radiative transfer in non-plane-parallel media |
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| Institution: | 1. Research Centre Jülich, Jülich, Germany;2. King’s College London, London, UK;3. TRIUMF, Vancouver, Canada;4. Uppsala University, Uppsala, Sweden;5. Brookhaven National Laboratory, Upton, USA;6. Keio University, Tokyo, Japan;7. Seoul National University, Seoul, South Korea;8. University of Pennsylvania, Philadelphia, USA;9. Ludwig Boltzmann Institute Applied Diagnostics, Vienna, Austria;10. National Institute of Mental Health, Bethesda, USA;11. VU University Medical Centre, Amsterdam, The Netherlands;1. Department of Atmospheric Sciences, National Central University, Taoyuan 32001, Taiwan;2. Center for Environmental Monitoring and Technology, National Central University, Taoyuan 32001, Taiwan;3. Goddard Space Flight Center, NASA, Greenbelt, MD 20771, USA |
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| Abstract: | Radiative transfer in non-plane-parallel media is a very challenging problem, which is currently the subject of concerted efforts to develop computational techniques which may be used to tackle different tasks. In this paper we develop the full formalism for another technique, based on radiative perturbation theory. With this approach, one starts with a plane-parallel ‘base model’, for which many solution techniques exist, and treat the horizontal variability as a perturbation. We show that under the most logical assumption as to the base model, the first-order perturbation term is zero for domain-average radiation quantities, so that it is necessary to go to higher order terms. This requires the computation of the Green's function. While this task is by no means simple, once the various pieces have been assembled they may be re-used for any number of perturbations—that is, any horizontal variations. |
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