A Unifying Polarization Formalism for Electric and Magnetic Multipole Interactions

We extend the spherical tensorial formalism for polarization to the treatment of electric and magnetic multipole transitions of any order. We rely on the spherical-wave expansion to derive the tensor form of the operator describing the interaction of the atomic system with a polarized radiation fiel...

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Main Authors: R. Casini, R. Manso Sainz, A. López Ariste, N. Kaikati
Format: Article
Language:English
Published: IOP Publishing 2025-01-01
Series:The Astrophysical Journal
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Online Access:https://doi.org/10.3847/1538-4357/ad7677
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author R. Casini
R. Manso Sainz
A. López Ariste
N. Kaikati
author_facet R. Casini
R. Manso Sainz
A. López Ariste
N. Kaikati
author_sort R. Casini
collection DOAJ
description We extend the spherical tensorial formalism for polarization to the treatment of electric and magnetic multipole transitions of any order. We rely on the spherical-wave expansion to derive the tensor form of the operator describing the interaction of the atomic system with a polarized radiation field, which naturally leads to the introduction of spherical tensors describing the polarization properties of the interacting field. As a direct application, the formalism is used to model the radiation anisotropy affecting the scattering of radiation in an electric quadrupole transition and the associated Hanle effect in the presence of a magnetic field.
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series The Astrophysical Journal
spelling doaj-art-c46e5153f4d64feca1f054e9c1e266032025-02-06T17:43:20ZengIOP PublishingThe Astrophysical Journal1538-43572025-01-0198016710.3847/1538-4357/ad7677A Unifying Polarization Formalism for Electric and Magnetic Multipole InteractionsR. Casini0https://orcid.org/0000-0001-6990-513XR. Manso Sainz1A. López Ariste2N. Kaikati3NSF NCAR High Altitude Observatory, P.O. Box 3000, Boulder, CO 80307-3000, USAThird Institute of Physics, University of Göttingen , Friedrich-Hund-Platz 1, 37077 Göttingen, GermanyIRAP, Université de Toulouse , CNRS, CNES, UPS. 14, Av. E. Belin, 31400 Toulouse, FranceIRAP, Université de Toulouse , CNRS, CNES, UPS. 14, Av. E. Belin, 31400 Toulouse, FranceWe extend the spherical tensorial formalism for polarization to the treatment of electric and magnetic multipole transitions of any order. We rely on the spherical-wave expansion to derive the tensor form of the operator describing the interaction of the atomic system with a polarized radiation field, which naturally leads to the introduction of spherical tensors describing the polarization properties of the interacting field. As a direct application, the formalism is used to model the radiation anisotropy affecting the scattering of radiation in an electric quadrupole transition and the associated Hanle effect in the presence of a magnetic field.https://doi.org/10.3847/1538-4357/ad7677Radiative transfer
spellingShingle R. Casini
R. Manso Sainz
A. López Ariste
N. Kaikati
A Unifying Polarization Formalism for Electric and Magnetic Multipole Interactions
The Astrophysical Journal
Radiative transfer
title A Unifying Polarization Formalism for Electric and Magnetic Multipole Interactions
title_full A Unifying Polarization Formalism for Electric and Magnetic Multipole Interactions
title_fullStr A Unifying Polarization Formalism for Electric and Magnetic Multipole Interactions
title_full_unstemmed A Unifying Polarization Formalism for Electric and Magnetic Multipole Interactions
title_short A Unifying Polarization Formalism for Electric and Magnetic Multipole Interactions
title_sort unifying polarization formalism for electric and magnetic multipole interactions
topic Radiative transfer
url https://doi.org/10.3847/1538-4357/ad7677
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