J/A+A/645/A101ivo://CDS.VizieR/J/A+A/645/A101doi:10.26093/cds/vizier.36450101CDSJaume Bestard J.Stepan J.Trujillo Bueno J.2021-09-06T08:30:30Z2021-01-21T08:00:39ZCDS support team

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

cds-question@unistra.frastronomical-modelspolarimetryAccurate angular quadratures are crucial for the numerical solution of three-dimensional (3D) radiative transfer problems, especially when including the spectral line polarisation produced by the scattering of anisotropic radiation. There are two requirements for an optimal quadrature that are difficult to satisfy simultaneously: high accuracy and short computing time. Recently, imposing certain symmetries, we have derived a set of near optimal angular quadratures. Here we extend our previous investigation by considering other symmetries. Moreover, we test the performance of our new quadratures by numerically solving a radiative transfer problem of resonance line polarisation in a 3D model of the solar atmosphere resulting from a magneto-hydrodynamical simulation. The new angular quadratures derived here outperform the previous ones in terms of the number of rays needed to achieve any given accuracy.2021A&A...645A.101Jhttps://cdsarc.cds.unistra.fr/viz-bin/cat/J/A+A/645/A101CatalogResearchIsServedByTAP VizieR generic servicehttps://cds.unistra.fr/vizier-org/licences_vizier.htmlhttps://vizier.cds.unistra.fr/viz-bin/VizieR-2?-source=J/A+A/645/A101https://vizier.iucaa.in/viz-bin/VizieR-2?-source=J/A+A/645/A101http://vizieridia.saao.ac.za/viz-bin/VizieR-2?-source=J/A+A/645/A101https://vizier.cds.unistra.fr/viz-bin/votable?-source=J/A+A/645/A101https://vizier.iucaa.in/viz-bin/votable?-source=J/A+A/645/A101http://vizieridia.saao.ac.za/viz-bin/votable?-source=J/A+A/645/A101GETtext/xml+votablehttps://tapvizier.cds.unistra.fr/TAPVizieR/tapdefaultJ/A+A/645/A101/ul2n3Unpolarised case for L=2 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/645/A101/ul3n4Unpolarised case for L=3 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/645/A101/ul4n6Unpolarised case for L=4 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/645/A101/ul5n8Unpolarised case for L=5 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/645/A101/ul6n11Unpolarised case for L=6 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/645/A101/ul7n12Unpolarised case for L=7 and N=12recnoRecord 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/645/A101/ul8n17Unpolarised case for L=8 and N=17recnoRecord 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/645/A101/ul9n20Unpolarised case for L=9 and N=20recnoRecord 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/645/A101/ul10n24Unpolarised case for L=10 and N=24recnoRecord 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/645/A101/ul11n26Unpolarised case for L=11 and N=26recnoRecord 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/645/A101/ul12n33Unpolarised case for L=12 and N=33recnoRecord 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/645/A101/ul13n39Unpolarised case for L=13 and N=39recnoRecord 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/645/A101/ul14n44Unpolarised case for L=14 and N=44recnoRecord 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/645/A101/ul15n45Unpolarised case for L=15 and N=45recnoRecord 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/645/A101/pl2n14Polarised case for L=2 and N=14recnoRecord 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/645/A101/pl3n20Polarised case for L=3 and N=20recnoRecord 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/645/A101/pl4n24Polarised case for L=4 and N=24recnoRecord 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/645/A101/pl5n30Polarised case for L=5 and N=30recnoRecord 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/645/A101/pl6n38Polarised case for L=6 and N=38recnoRecord 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/645/A101/pl7n44Polarised case for L=7 and N=44recnoRecord 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/645/A101/pl8n53Polarised case for L=8 and N=53recnoRecord 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/645/A101/pl9n62Polarised case for L=9 and N=62recnoRecord 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/645/A101/pl10n72Polarised case for L=10 and N=72recnoRecord 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/645/A101/pl11n78Polarised case for L=11 and N=78recnoRecord 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/645/A101/pl12n93Polarised case for L=12 and N=93recnoRecord 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/645/A101/pl13n100Polarised case for L=13 and N=100recnoRecord 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/645/A101/pl14n117Polarised case for L=14 and N=117recnoRecord 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/645/A101/pl15n124Polarised case for L=15 and N=124recnoRecord 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