J/A+A/636/A24ivo://CDS.VizieR/J/A+A/636/A24doi:10.26093/cds/vizier.36360024CDSStepan J.Jaume Bestard J.Trujillo Bueno J.2020-07-21T13:31:07Z2020-04-08T06:27:13ZCDS support team

CDS, Observatoire de Strasbourg, 11 rue de l'Universite, F-67000 Strasbourg, France

cds-question@unistra.frpolarimetryIn three-dimensional (3D) radiative transfer (RT) problems, the tensor product quadratures are generally not optimal in terms of the number of discrete ray directions needed for a given accuracy of the angular integration of the radiation field. In this paper, we derive a new set of angular quadrature rules that are more suitable for solving 3D RT problems with the short- and long-characteristics formal solvers. These quadratures are more suitable than the currently used ones for the numerical calculation of the radiation field tensors that are relevant in the problem of the generation and transfer of polarised radiation without assuming local thermodynamical equilibrium (non-LTE). We show that our new quadratures can save up to about 30% of computing time with respect to the Gaussian-trapezoidal product2020A&A...636A..24Shttps://cdsarc.cds.unistra.fr/viz-bin/cat/J/A+A/636/A24CatalogResearchIsServedByTAP VizieR generic servicehttps://cds.unistra.fr/vizier-org/licences_vizier.htmlhttps://vizier.cds.unistra.fr/viz-bin/VizieR-2?-source=J/A+A/636/A24https://vizier.iucaa.in/viz-bin/VizieR-2?-source=J/A+A/636/A24http://vizieridia.saao.ac.za/viz-bin/VizieR-2?-source=J/A+A/636/A24https://vizier.cds.unistra.fr/viz-bin/votable?-source=J/A+A/636/A24https://vizier.iucaa.in/viz-bin/votable?-source=J/A+A/636/A24http://vizieridia.saao.ac.za/viz-bin/votable?-source=J/A+A/636/A24GETtext/xml+votablehttps://tapvizier.cds.unistra.fr/TAPVizieR/tapdefaultJ/A+A/636/A24/il3n1*Quadrature for unpolarised radiation, Unpolarised case for L=3 and n=1recnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintweightNormalized weights over the whole spherestat.weightdoubleinclInclination measured from the positive Z-axisdegphys.angSizedoubleazimAzimuth measured from the positive X-axisdegphys.angSizedoubleJ/A+A/636/A24/il7n3*Quadrature for unpolarised radiation, Unpolarised case for L=7 and n=3recnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintweightNormalized weights over the whole spherestat.weightdoubleinclInclination measured from the positive Z-axisdegphys.angSizedoubleazimAzimuth measured from the positive X-axisdegphys.angSizedoubleJ/A+A/636/A24/il9n6*Quadrature for unpolarised radiation, Unpolarised case for L=9 and n=6recnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintweightNormalized weights over the whole spherestat.weightdoubleinclInclination measured from the positive Z-axisdegphys.angSizedoubleazimAzimuth measured from the positive X-axisdegphys.angSizedoubleJ/A+A/636/A24/il11n7*Quadrature for unpolarised radiation, Unpolarised case for L=11 and n=7recnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintweightNormalized weights over the whole spherestat.weightdoubleinclInclination measured from the positive Z-axisdegphys.angSizedoubleazimAzimuth measured from the positive X-axisdegphys.angSizedoubleJ/A+A/636/A24/iql5n4*Quadrature for polarised radiation, Polarised case for L=5 and n=4recnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintweightNormalized weights over the whole spherestat.weightdoubleinclInclination measured from the positive Z-axisdegphys.angSizedoubleazimAzimuth measured from the positive X-axisdegphys.angSizedoubleJ/A+A/636/A24/iql7n7*Quadrature for polarised radiation, Polarised case for L=7 and n=7recnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintweightNormalized weights over the whole spherestat.weightdoubleinclInclination measured from the positive Z-axisdegphys.angSizedoubleazimAzimuth measured from the positive X-axisdegphys.angSizedoubleJ/A+A/636/A24/iql9n8*Quadrature for polarised radiation, Polarised case for L=9 and n=8recnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintweightNormalized weights over the whole spherestat.weightdoubleinclInclination measured from the positive Z-axisdegphys.angSizedoubleazimAzimuth measured from the positive X-axisdegphys.angSizedoubleJ/A+A/636/A24/iql11n11*Quadrature for polarised radiation, Polarised case for L=11 and n=11recnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintweightNormalized weights over the whole spherestat.weightdoubleinclInclination measured from the positive Z-axisdegphys.angSizedoubleazimAzimuth measured from the positive X-axisdegphys.angSizedoubleJ/A+A/636/A24/iql13n14*Quadrature for polarised radiation, Polarised case for L=13 and n=13recnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintweightNormalized weights over the whole spherestat.weightdoubleinclInclination measured from the positive Z-axisdegphys.angSizedoubleazimAzimuth measured from the positive X-axisdegphys.angSizedoubleJ/A+A/636/A24/iql15n18*Quadrature for polarised radiation, Polarised case for L=15 and n=18recnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintweightNormalized weights over the whole spherestat.weightdoubleinclInclination measured from the positive Z-axisdegphys.angSizedoubleazimAzimuth measured from the positive X-axisdegphys.angSizedoubleJ/A+A/636/A24/il13n10*Quadrature for unpolarised radiation, Unpolarised case for L=13 and n=10recnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintweightNormalized weights over the whole spherestat.weightdoubleinclInclination measured from the positive Z-axisdegphys.angSizedoubleazimAzimuth measured from the positive X-axisdegphys.angSizedoubleJ/A+A/636/A24/il15n11*Quadrature for unpolarised radiation, Unpolarised case for L=15 and n=11recnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintweightNormalized weights over the whole spherestat.weightdoubleinclInclination measured from the positive Z-axisdegphys.angSizedoubleazimAzimuth measured from the positive X-axisdegphys.angSizedoubleJ/A+A/636/A24/iql3n3*Quadrature for polarised radiation, Polarised case for L=3 and n=3recnoRecord number assigned by the VizieR team. Should Not be used for identification.meta.recordintweightNormalized weights over the whole spherestat.weightdoubleinclInclination measured from the positive Z-axisdegphys.angSizedoubleazimAzimuth measured from the positive X-axisdegphys.angSizedouble