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Hanle-Zeeman redistribution matrix. I. Classical theory expressions in the laboratory frame

Sampoorna, M and Nagendra, KN and Stenflo, JO (2007) Hanle-Zeeman redistribution matrix. I. Classical theory expressions in the laboratory frame. In: Astrophysical Journal, The, 663 (1). pp. 625-642.

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Official URL: http://iopscience.iop.org/0004-637X/663/1/625

Abstract

Polarized scattering in spectral lines is governed by a 4; 4 matrix that describes how the Stokes vector is scattered and redistributed in frequency and direction. Here we develop the theory for this redistribution matrix in the presence of magnetic fields of arbitrary strength and direction. This general magnetic field case is called the Hanle- Zeeman regime, since it covers both of the partially overlapping weak- and strong- field regimes in which the Hanle and Zeeman effects dominate the scattering polarization. In this general regime, the angle-frequency correlations that describe the so-called partial frequency redistribution (PRD) are intimately coupled to the polarization properties. We develop the theory for the PRD redistribution matrix in this general case and explore its detailed mathematical properties and symmetries for the case of a J = 0 -> 1 -> 0 scattering transition, which can be treated in terms of time-dependent classical oscillator theory. It is shown how the redistribution matrix can be expressed as a linear superposition of coherent and noncoherent parts, each of which contain the magnetic redistribution functions that resemble the well- known Hummer- type functions. We also show how the classical theory can be extended to treat atomic and molecular scattering transitions for any combinations of quantum numbers.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to University of Chicago Press.
Department/Centre: Division of Physical & Mathematical Sciences > Astronomy and Astrophysics Programme
Division of Physical & Mathematical Sciences > Physics
Date Deposited: 23 Mar 2010 08:07
Last Modified: 19 Sep 2010 05:57
URI: http://eprints.iisc.ernet.in/id/eprint/26350

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