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Parametrization of the Zeeman effect for hydrogen-like spectra in high-temperature plasmas

Blom, Anders LU and Jupén, Christer LU (2002) In Plasma Physics and Controlled Fusion 44(7). p.1229-1241
Abstract
We present a method for parametrizing the Zeeman effect in hydrogen-like systems in high-temperature plasmas, where the fine-structure is completely unresolved. The method is based on the observation that the different polarization components behave collectively like separate entities, with simple relations. The entire Zeeman pattern can then be reduced to just three components, whose dependence on the magnetic field and the temperature can be described by only three numerical parameters. This makes it possible to include the influence of the Zeeman effect directly into ion temperature diagnostic procedures with minimal increase in the required computational effort and without the need for pre-calculated correction factors. We have... (More)
We present a method for parametrizing the Zeeman effect in hydrogen-like systems in high-temperature plasmas, where the fine-structure is completely unresolved. The method is based on the observation that the different polarization components behave collectively like separate entities, with simple relations. The entire Zeeman pattern can then be reduced to just three components, whose dependence on the magnetic field and the temperature can be described by only three numerical parameters. This makes it possible to include the influence of the Zeeman effect directly into ion temperature diagnostic procedures with minimal increase in the required computational effort and without the need for pre-calculated correction factors. We have tabulated such parametrizations-which are accurate for a wide range of fields and temperatures, even for cases when the total line-shape is no longer Gaussian-for 44 commonly studied hydrogen-like transitions. The effects of non-statistical population distribution in the upper sub-levels are briefly discussed, and we also note a temperature-dependent wavelength shift of the centre positions of the transitions. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Plasma Physics and Controlled Fusion
volume
44
issue
7
pages
1229 - 1241
publisher
IOP Publishing
external identifiers
  • wos:000177271400014
  • scopus:0036648419
ISSN
0741-3335
DOI
10.1088/0741-3335/44/7/312
language
English
LU publication?
yes
id
79b204e0-5ae8-433d-b87b-ae01c837bb64 (old id 331888)
date added to LUP
2007-08-10 11:26:54
date last changed
2017-05-28 03:48:44
@article{79b204e0-5ae8-433d-b87b-ae01c837bb64,
  abstract     = {We present a method for parametrizing the Zeeman effect in hydrogen-like systems in high-temperature plasmas, where the fine-structure is completely unresolved. The method is based on the observation that the different polarization components behave collectively like separate entities, with simple relations. The entire Zeeman pattern can then be reduced to just three components, whose dependence on the magnetic field and the temperature can be described by only three numerical parameters. This makes it possible to include the influence of the Zeeman effect directly into ion temperature diagnostic procedures with minimal increase in the required computational effort and without the need for pre-calculated correction factors. We have tabulated such parametrizations-which are accurate for a wide range of fields and temperatures, even for cases when the total line-shape is no longer Gaussian-for 44 commonly studied hydrogen-like transitions. The effects of non-statistical population distribution in the upper sub-levels are briefly discussed, and we also note a temperature-dependent wavelength shift of the centre positions of the transitions.},
  author       = {Blom, Anders and Jupén, Christer},
  issn         = {0741-3335},
  language     = {eng},
  number       = {7},
  pages        = {1229--1241},
  publisher    = {IOP Publishing},
  series       = {Plasma Physics and Controlled Fusion},
  title        = {Parametrization of the Zeeman effect for hydrogen-like spectra in high-temperature plasmas},
  url          = {http://dx.doi.org/10.1088/0741-3335/44/7/312},
  volume       = {44},
  year         = {2002},
}