Analytical solution of the non-discretized radiative transfer equation for a slab of finite optical depth

Details Analytical solution of the non-discretized radiative transfer equation for a slab of finite optical depth Analytical solution of the non-discretized radiative transfer equation for a slab of finite optical depth

Jan 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995jqsrt..53...59e&link_type=abstract

Journal of Quantitative Spectroscopy & Radiative Transfer (ISSN 0022-4073), vol. 53, no. 1, p. 59-74

Mathematics

8

Eigenvectors, Optical Thickness, Radiative Heat Transfer, Slabs, Spectrum Analysis, Transport Theory, Fortran, Mathematical Models, Matrices (Mathematics), Numerical Integration

Scientific paper

An analytical solution of the radiative transfer equation for a plane parallel slab of finite depth is presented without requiring discretization in space or angles. The solution, expressed in terms of the matrix hyperbolic tangent function, avoids the problem of exponentially increasing terms so that it is also suitable for numerical calculations. By using the resolvent of the transfer equation we obtain simple series expansions for the matrix elements.

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