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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IOP Publishing
2025-01-01
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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. |
format | Article |
id | doaj-art-c46e5153f4d64feca1f054e9c1e26603 |
institution | Kabale University |
issn | 1538-4357 |
language | English |
publishDate | 2025-01-01 |
publisher | IOP Publishing |
record_format | Article |
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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