Exact solution of axially symmetric Rayleigh scattering transport equation by Laplace transform and Wiener-Hopf technique and new expression of HL and HR function

Details Exact solution of axially symmetric Rayleigh scattering transport equation by Laplace transform and Wiener-Hopf technique and new expression of HL and HR function Exact solution of axially symmetric Rayleigh scattering transport equation by Laplace transform and Wiener-Hopf technique and new expression of HL and HR function

Aug 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978ap%26ss..57..429d&link_type=abstract

Astrophysics and Space Science, vol. 57, no. 2, Aug. 1978, p. 429-438.

Astronomy and Astrophysics

Astrophysics

1

Atmospheric Scattering, Laplace Transformation, Planetary Atmospheres, Rayleigh Scattering, Transport Theory, Wiener Hopf Equations, Optical Thickness, Radiative Transfer, Scattering Functions

Scientific paper

An exact solution of the transport equation in radiative transfer for an axially symmetric Rayleigh scattering problem in a semiinfinite planetary atmosphere for both emergent intensity and intensity at any optical depth has been derived with the aid of the Laplace transform and the Wiener-Hopf technique, and by use of the constancy of net flux. Chandrasekhar's (1950) results for emergent intensity have been verified. New expressions for the Chandrasekhar Hl and Hr functions have been obtained.

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