m-state Interference with Partial Frequency Redistribution for Polarized Line Formation in Arbitrary Magnetic Fields

Details m-state Interference with Partial Frequency Redistribution for Polarized Line Formation in Arbitrary Magnetic Fields m-state Interference with Partial Frequency Redistribution for Polarized Line Formation in Arbitrary Magnetic Fields

Apr 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011apj...731..114s&link_type=abstract

The Astrophysical Journal, Volume 731, Issue 2, article id. 114 (2011).

Astronomy and Astrophysics

Astronomy

4

Atomic Processes, Line: Formation, Line: Profiles, Magnetic Fields, Polarization

Scientific paper

The present paper concerns the derivation of polarized partial frequency redistribution (PRD) matrices for scattering on a two-level atom in arbitrary magnetic fields. We generalize the classical theory of PRD that is applicable to a J = 0 → 1 → 0 scattering transition, to other types of atomic transitions with arbitrary quantum numbers. We take into account quantum interference between magnetic substates of a given upper J-state. The generalization proceeds in a phenomenological way, based on the direct analogy between the Kramers-Heisenberg scattering amplitude in quantum mechanics and the Jones scattering matrix in classical physics. The redistribution matrices derived from such a generalization of classical PRD theory are identical to those obtained from a summed perturbative quantum electrodynamic treatment of the atom-radiation interaction. Our semi-classical approach has the advantage that it is non-perturbative, more intuitive, and lends itself more easily to further generalization (like the inclusion of J-state interference in the PRD theory).

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