Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/2398
Title: Analytical approaches to the delta-Eddington model of the radiative transfer through vertically inhomogeneous optical depths
Authors: Subaşılar, Bedrettin
Keywords: Atmospheric radiation
Analytical approximations
Green-Liouville
Inhomogeneous optical depth
Riccati equation
Issue Date: Apr-2008
Publisher: Elsevier Ltd.
Source: Subaşılar, B. (2008). Analytical approaches to the delta-Eddington model of the radiative transfer through vertically inhomogeneous optical depths. Applied Mathematical Modelling, 32(4), 514-534. doi:10.1016/j.apm.2007.02.005
Abstract: Analytical approaches have been developed for one-dimensional monochromatic delta-Eddington radiative transfer equation through a vertically inhomogeneous medium. They are based on the solution of the Riccati equation that arises from the decoupling of the two-stream radiances, and seek to approximate the exponent functions in the solution as opposed to finding the solution as a whole. Depending on the case, Green-Liouville approximation or other techniques presented in this paper are utilized for finding these exponents. Though developed for atmospheric radiative transfer problems applicable to the global climate change modelling, and for non-invasive medical applications on tissue-light interactions, the techniques considered here are quiet general in nature. Hence, they can also be useful in other boundary value problems of the diffusion type that involve linear second order ordinary differential equations with variable coefficients.
URI: http://doi.org/10.1016/j.apm.2007.02.005
http://hdl.handle.net/11147/2398
ISSN: 0307-904X
0307-904X
Appears in Collections:Physics / Fizik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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