Statistics – Applications
Scientific paper
Nov 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993a%26a...279..572b&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 279, no. 2, p. 572-576
Statistics
Applications
1
Astronomical Models, Cosmic Dust, Interstellar Extinction, Interstellar Matter, Iterative Solution, Light Scattering, Luminous Intensity, Polarized Light, Spherical Shells, Anisotropy, Applications Programs (Computers), Fourier Series, Isotropy, Mathematical Models, Radiative Transfer, Series Expansion, Stokes Theorem (Vector Calculus)
Scientific paper
The iterative method developed earlier by the author to calculate anisotropic light scattering in an isotropically illuminated spherical shell is extended to the treatment of polarized light. The Stokes vectors and relevant matrices are expanded in Fourier series in azimuth angle phi. It is shown that only the terms with m = 0 (azimuth dependent terms) and m = 2 (terms containing 2(phi)) are different from zero. For the coefficients in the Fourier expansion with m = 0 the full method making alternate use of the moment equation and the equation for the source function was employed. For m = 2 no use can be made of the moment equation. In these cases, however, due to the generally low effective albedo at this m-value the source function can be found relatively easily as a sum over orders of scattering. We tested our iterative method for a shell illuminated by a central point source.
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