Exact solution of the equation of radiative transfer for semi-infinite plane-parallel isotropic scattering atmosphere with scattering albedo omegazero less than or equal to 1 by a method based on Laplace transform and Wiener-Hopf technique

Details Exact solution of the equation of radiative transfer for semi-infinite plane-parallel isotropic scattering atmosphere with scattering albedo omegazero less than or equal to 1 by a method based on Laplace transform and Wiener-Hopf technique Exact solution of the equation of radiative transfer for semi-infinite plane-parallel isotropic scattering atmosphere with scattering albedo omegazero less than or equal to 1 by a method based on Laplace transform and Wiener-Hopf technique

Aug 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978ap%26ss..57..419d&link_type=abstract

Astrophysics and Space Science, vol. 57, no. 2, Aug. 1978, p. 419-427.

Astronomy and Astrophysics

Astrophysics

2

Albedo, Atmospheric Scattering, Isotropic Media, Light Scattering, Radiative Transfer, Wiener Hopf Equations, Diffuse Radiation, Laplace Transformation, Rayleigh Scattering, Stellar Atmospheres

Scientific paper

By performing the one-sided Laplace transform on the scalar integro-differential equation for a semi-infinite plane-parallel isotropic scattering atmosphere with a scattering albedo w0 ~ 1, an integral equation for the emergent intensity has been derived. Application of the Wiener- Hopf technique to this integral equation will give the emergent intensity. The intensity at any optical depth for a positive scattering angle is also derived by inversion. The intensity at any optical depth for a negative scattering angle is also derived in terms of Cauchy's principal value using Plemelj's formulae

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