An iterative solution to Chandrasekhar X and Y equations for isotropic scattering

Details An iterative solution to Chandrasekhar X and Y equations for isotropic scattering An iterative solution to Chandrasekhar X and Y equations for isotropic scattering

Aug 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982jap....53.5479c&link_type=abstract

Journal of Applied Physics, vol. 53, Aug. 1982, p. 5479-5483.

Physics

Optics

Atmospheric Optics, Atmospheric Scattering, Chandrasekhar Equation, Isotropic Media, Iterative Solution, Approximation, Integral Equations, Optical Thickness

Scientific paper

The X and Y functions of Chandrasekhar are defined in terms of two coupled integral equations whose solution for certain values of optical depth and albedo have already been found by means of iterative methods. This paper discusses the numerical difficulties of past iterative methods and describes an iterative approach which attempts to overcome some of these difficulties. This technique uses improved trial functions and is applied to the isotropic scattering case. Reasonable accuracy is achieved for certain cases at the expense of little computing time.

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