An exact solution of transfer equations for interlocked multiplets

Details An exact solution of transfer equations for interlocked multiplets An exact solution of transfer equations for interlocked multiplets

Jun 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978ap%26ss..56...13d&link_type=abstract

Astrophysics and Space Science, vol. 56, no. 1, June 1978, p. 13-20.

Astronomy and Astrophysics

Astrophysics

4

Fine Structure, Incoherent Scattering, Radiative Heat Transfer, Transfer Functions, Laplace Transformation, Liouville Theorem, Mathematical Models, Wiener Hopf Equations

Scientific paper

A method combining Laplace transformation and the Wiener-Hopf technique is used to solve exactly the radiative-transfer equations for incoherent scattering due to interlocking of principal lines without redistribution. A recent representation of H-functions is employed to obtain in a simple way the emergent intensities in different lines in terms of H-functions and Cauchy-type finite integrals with known density functions. An analytical solution for the emergent intensity in the case of coherent scattering is also given which is the same as Chandrasekhar's (1950) solution.

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