Radiative transfer in a spherical dust cloud. I - Exact results for isotropic scattering

Details Radiative transfer in a spherical dust cloud. I - Exact results for isotropic scattering Radiative transfer in a spherical dust cloud. I - Exact results for isotropic scattering

Feb 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987a%26a...173..115v&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 173, no. 1, Feb. 1987, p. 115-123.

Astronomy and Astrophysics

Astrophysics

11

Cosmic Dust, Interstellar Matter, Light Scattering, Radiative Transfer, Spherical Plasmas, Stellar Radiation, Isotropic Media, Optical Thickness

Scientific paper

Expressions are derived for the penetration of diffuse starlight into a spherical interstellar dust cloud and the diffuse reflection from the same cloud - assuming isotropic scattering - based on exact radiative transfer equations. An old mapping theorem is used, stating that the Milne equation for a homogeneous slab of isotropic scatterers with albedo 'a' and its equivalent for a homogeneous spherical cloud have such forms that any symmetric solution in a sphere of optical radius r can be rigorously mapped on an antisymmetric solution in a slab of optical thickness b equals 2r. Procedures are outlined for computing by means of the mapping theorem the full radiation density in the sphere and the spherical reflection function and its moments, using available analytical and numerical results for slabs. A surprising result is that the biomoments of the reflection function of the sphere, including the Bond albedo, are expressed exactly in terms of the well-studied moments of the X- and Y-functions for the slab.

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