Accurate eigenvalues and exact extrapolation lengths in radiative transfer

Details Accurate eigenvalues and exact extrapolation lengths in radiative transfer Accurate eigenvalues and exact extrapolation lengths in radiative transfer

Aug 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990a%26a...235..511v&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 235, no. 1-2, Aug. 1990, p. 511-520.

Astronomy and Astrophysics

Astrophysics

5

Isotropic Media, Milne Method, Radiative Transfer, Scattering Functions, Eigenvalues, Extrapolation, Plasma Slabs, Stellar Atmospheres

Scientific paper

A practical problem concerning radiative transfer in finite slabs or spheres is addressed using new results on the H-functions. The results lead to the solution of the homogeneous Milne problem for a half-space. The eigenvalues of the Milne operator in a plane-parallel slab or a spherical cloud are transformed in a manner permitting extremely accurate graphical interpolation. The extrapolation length in a semiinfinite atmosphere is discussed for generative media and for absorbing media with the conservative case as their common limit. It is shown that the limiting curve in the first problem follows from the rigorous solution of the second problem. The feasibility of a corresponding theory for anisotropic scattering is discussed.

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