### 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 q_{I}-q_{VI}, thus extending the traditional formalism of redistribution functions for two-photon processes. The corresponding velocity-averaged laboratory functions Q_{I}-Q_{VI} of these auxiliary functions are derived in both their angle-dependent and angle-averaged forms. Since the expressions found for Q_{I}-Q_{VI} 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 language | English (US) |
---|---|

Pages (from-to) | 397-406 |

Number of pages | 10 |

Journal | Journal of Quantitative Spectroscopy and Radiative Transfer |

Volume | 37 |

Issue number | 4 |

DOIs | |

State | Published - 1987 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Spectroscopy
- Atomic and Molecular Physics, and Optics

### Cite this

*Journal of Quantitative Spectroscopy and Radiative Transfer*,

*37*(4), 397-406. https://doi.org/10.1016/0022-4073(87)90008-2

**Absorption and emission line profile coefficients of multilevel atoms-IV. Velocity-averaged generalized redistribution functions for three-photon processes.** / Hubeny, Ivan -; Oxenius, J.

Research output: Contribution to journal › Article

*Journal of Quantitative Spectroscopy and Radiative Transfer*, vol. 37, no. 4, pp. 397-406. https://doi.org/10.1016/0022-4073(87)90008-2

}

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.

UR - http://www.scopus.com/inward/record.url?scp=45949129187&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=45949129187&partnerID=8YFLogxK

U2 - 10.1016/0022-4073(87)90008-2

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

M3 - Article

AN - SCOPUS:45949129187

VL - 37

SP - 397

EP - 406

JO - Journal of Quantitative Spectroscopy and Radiative Transfer

JF - Journal of Quantitative Spectroscopy and Radiative Transfer

SN - 0022-4073

IS - 4

ER -