Numerical approach to Zeeman line radiative transfer

Details Numerical approach to Zeeman line radiative transfer Numerical approach to Zeeman line radiative transfer

Oct 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991pasj...43..719t&link_type=abstract

Astronomical Society of Japan, Publications (ISSN 0004-6264), vol. 43, no. 5, 1991, p. 719-737.

Statistics

Computation

4

Magnetic Fields, Radiative Transfer, Stellar Atmospheres, Zeeman Effect, Coherent Scattering, Frequency Distribution, Iterative Solution, Local Thermodynamic Equilibrium, Perturbation Theory

Scientific paper

An accelerated lambda iteration (ALI) method, a version of the operator perturbation technique, is formulated for applications to Zeeman line formation problems in the presence of magnetic fields. This approach has proven to be quite an effective and flexible numerical device, being applicable to extensive problems (e.g., LTE one-way integration problem, noncoherent scattering etc.). In addition to its general formulation, a specialized practical version is also proposed which is limited to scattering (or multi-level) problems under the assumption of complete frequency redistribution (CRD), but requiring much less computing time. In order to examine the computational efficiency of this ALI method, numerical examples are presented concerning line formation in a magnetic field for several simple cases (LTE Milne-Eddington model, noncoherent CRD scattering, angle-dependent coherent scattering), showing a reasonably rapid convergence with notable numerical stability. Comparisons with other recent numerical techniques confirm the distinguished superiority of the present method.

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