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view Abstract Citations (161) References (27) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Stokes Profile Analysis and Vector Magnetic Fields. II. Formal Numerical Solutions of the Stokes Transfer Equations Rees, D. E. ; Murphy, G. A. ; Durrant, C. J. Abstract Two numerical methods for formal integration of the Stokes transfer equations for line formation in a strong magnetic field were tested by computing Stokes profiles for a Zeeman triplet in a Milne-Eddington model atmosphere, and for the anomalously split Ca II K line in a realistic solar model. The first method is a Feautrier (1964) type method, in which the equations are written in second-order form and solved by finite-differences. The second method is a new solution called DELO, in which an integral equation for the Stokes vector is formulated in terms of the lambda operator (LO) associated with the diagonal elements (DE) of the absorption matrix. It is shown that the DELO method is faster and more accurate than the Feautrier method, and that both methods are more efficient than the Runge-Kutta integration method. Publication: The Astrophysical Journal Pub Date: April 1989 DOI: 10.1086/167364 Bibcode: 1989ApJ...339.1093R Keywords: Radiative Transfer; Solar Magnetic Field; Solar Spectra; Zeeman Effect; Calcium; Differential Equations; K Lines; Solar Atmosphere; Stokes Law Of Radiation; Thermodynamic Equilibrium; Solar Physics; LINE FORMATION; NUMERICAL METHODS; POLARIZATION; RADIATIVE TRANSFER; ZEEMAN EFFECT full text sources ADS | Related Materials (5) Part 1: 1987ApJ...322..473S Part 3: 1987ApJ...318..930L Part 4: 1988ApJ...330..493L Part 5: 1990ApJ...348..747L Part 6: 1993ApJ...418..928L
Rees et al. (Sat,) studied this question.