A semi-analytic technique to integrate the radiative transfer equation over optical depth

Details A semi-analytic technique to integrate the radiative transfer equation over optical depth A semi-analytic technique to integrate the radiative transfer equation over optical depth

Aug 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980jats...37.1828h&link_type=abstract

Journal of the Atmospheric Sciences, vol. 37, Aug. 1980, p. 1828-1838.

Physics

Optics

2

Atmospheric Optics, Optical Thickness, Radiative Transfer, Semiempirical Equations, Gauss Equation, Iterative Solution, Mathematical Models, Numerical Integration, Polynomials

Scientific paper

A method of fitting polynomials to the intensity distribution as a function of optical depth is described for use with the Gauss-Seidel iterative technique for solving the equation of radiative transfer. This technique enables the optical depth (tau) integration to be performed analytically, thus permitting accurate and rapid solutions for optically thick atmospheres. Results are shown for values of tau up to 50, and various checks indicate that the method maintains an accuracy of better than 1%.

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