Statistics – Computation
Scientific paper
Oct 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993ap%26ss.208..229q&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 208, no. 2, p. 229-244
Statistics
Computation
Computational Astrophysics, Nonlinear Equations, Radiative Transfer, Solar Magnetic Field, Solar Physics, Thermodynamics, Iterative Solution, Mathematical Models, Stellar Models, Stokes Law Of Radiation
Scientific paper
A simple method is proposed to infer the vector magnetic field at the surface of the Sun from Stokes profiles. This is based on the assumption that the variations of thermodynamical and magnetic field parameters with depth near the surface are so small that the displacements of the wavelengths at which the Stokes profiles reach their extrema can be ignored. And hence the polarized radiative transfer equations are greatly reduced to a set of non-linear equations with vector magnetic field parameters (H, gamma, chi) which can be solved by a numerical iteration method. By fitting the synthetic profiles, it is shown that this proposed method can produce information on the vector field at the surface. It is also used to revise the observed profiles and it is found that the observed sunspot has the magnetic field stucture of the fan model with the lines of magnetic field twisted.
Ding Y. I.
Qu Zhong-Quan
Xuan Jia-Yu
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