An adaptive gaussian quadrature for the Voigt function

Frédéric Paletou (1) , Christophe Peymirat (2) , Eric Anterrieu (3) , T. Bohm (1)

1 IRAP - Institut de recherche en astrophysique et planétologie
2 UT3 - Université Toulouse III - Paul Sabatier
3 CESBIO - Centre d'études spatiales de la biosphère

We evaluate an adaptive gaussian quadrature integration scheme that will be suitable for the numerical evaluation of generalized redistribution in frequency functions. The latter are indispensable ingredients for "full non-LTE" radiation transfer computations i.e., assuming potential deviations of the velocity distribution of massive particles from the usual Maxwell-Boltzmann distribution. A first validation is made with computations of the usual Voigt profile.

Domaines: Astrophysique [astro-ph]; Instrumentation et méthodes pour l'astrophysique [astro-ph.IM]; Physique Numérique [physics.comp-ph]

Frédéric Paletou, Christophe Peymirat, Eric Anterrieu, T. Bohm. An adaptive gaussian quadrature for the Voigt function. 2019. ⟨hal-02412762⟩