Absorption and emission line profile coefficients of multilevel atoms-IV. Velocity-averaged generalized redistribution functions for three-photon processes

Ivan - Hubeny, J. Oxenius

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The atomic generalized redistribution functions for three-photon processes, derived in the previous paper of this series, are formulated in terms of linear superpositions of newly introduced auxiliary functions qI-qVI, thus extending the traditional formalism of redistribution functions for two-photon processes. The corresponding velocity-averaged laboratory functions QI-QVI of these auxiliary functions are derived in both their angle-dependent and angle-averaged forms. Since the expressions found for QI-QVI are quite complicated, the so-called disentangled approximation is employed that uses the representative values of the generalized redistribution function at an orthogonal triad of photon directions rather than the angle-averaged function itself. This approximation yields relatively simple expressions which can be used in radiative transfer calculations.

Original languageEnglish (US)
Pages (from-to)397-406
Number of pages10
JournalJournal of Quantitative Spectroscopy and Radiative Transfer
Volume37
Issue number4
DOIs
StatePublished - 1987
Externally publishedYes

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Photons
Atoms
photons
coefficients
profiles
atoms
Two photon processes
Radiative transfer
approximation
radiative transfer
formalism

ASJC Scopus subject areas

  • Spectroscopy
  • Atomic and Molecular Physics, and Optics

Cite this

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title = "Absorption and emission line profile coefficients of multilevel atoms-IV. Velocity-averaged generalized redistribution functions for three-photon processes",
abstract = "The atomic generalized redistribution functions for three-photon processes, derived in the previous paper of this series, are formulated in terms of linear superpositions of newly introduced auxiliary functions qI-qVI, thus extending the traditional formalism of redistribution functions for two-photon processes. The corresponding velocity-averaged laboratory functions QI-QVI of these auxiliary functions are derived in both their angle-dependent and angle-averaged forms. Since the expressions found for QI-QVI are quite complicated, the so-called disentangled approximation is employed that uses the representative values of the generalized redistribution function at an orthogonal triad of photon directions rather than the angle-averaged function itself. This approximation yields relatively simple expressions which can be used in radiative transfer calculations.",
author = "Hubeny, {Ivan -} and J. Oxenius",
year = "1987",
doi = "10.1016/0022-4073(87)90008-2",
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TY - JOUR

T1 - Absorption and emission line profile coefficients of multilevel atoms-IV. Velocity-averaged generalized redistribution functions for three-photon processes

AU - Hubeny, Ivan -

AU - Oxenius, J.

PY - 1987

Y1 - 1987

N2 - The atomic generalized redistribution functions for three-photon processes, derived in the previous paper of this series, are formulated in terms of linear superpositions of newly introduced auxiliary functions qI-qVI, thus extending the traditional formalism of redistribution functions for two-photon processes. The corresponding velocity-averaged laboratory functions QI-QVI of these auxiliary functions are derived in both their angle-dependent and angle-averaged forms. Since the expressions found for QI-QVI are quite complicated, the so-called disentangled approximation is employed that uses the representative values of the generalized redistribution function at an orthogonal triad of photon directions rather than the angle-averaged function itself. This approximation yields relatively simple expressions which can be used in radiative transfer calculations.

AB - The atomic generalized redistribution functions for three-photon processes, derived in the previous paper of this series, are formulated in terms of linear superpositions of newly introduced auxiliary functions qI-qVI, thus extending the traditional formalism of redistribution functions for two-photon processes. The corresponding velocity-averaged laboratory functions QI-QVI of these auxiliary functions are derived in both their angle-dependent and angle-averaged forms. Since the expressions found for QI-QVI are quite complicated, the so-called disentangled approximation is employed that uses the representative values of the generalized redistribution function at an orthogonal triad of photon directions rather than the angle-averaged function itself. This approximation yields relatively simple expressions which can be used in radiative transfer calculations.

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DO - 10.1016/0022-4073(87)90008-2

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JO - Journal of Quantitative Spectroscopy and Radiative Transfer

JF - Journal of Quantitative Spectroscopy and Radiative Transfer

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