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<ri:Resource created="2015-04-16T12:46:43Z" status="active" updated="2025-05-19T09:50:00Z" version="1.2" xmlns:ri="http://www.ivoa.net/xml/RegistryInterface/v1.0" xmlns:vr="http://www.ivoa.net/xml/VOResource/v1.0" xmlns:vs="http://www.ivoa.net/xml/VODataService/v1.1" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.ivoa.net/xml/VOResource/v1.0 http://vo.ari.uni-heidelberg.de/docs/schemata/VOResource.xsd http://www.ivoa.net/xml/VODataService/v1.1 http://vo.ari.uni-heidelberg.de/docs/schemata/VODataService.xsd" xsi:type="vs:CatalogService"><title>Modeling Faraday structures. I. 1100-1400 MHz</title><shortName>J/AJ/149/60</shortName><identifier>ivo://CDS.VizieR/J/AJ/149/60</identifier><altIdentifier>doi:10.26093/cds/vizier.51490060</altIdentifier><curation><publisher ivo-id="ivo://CDS">CDS</publisher><creator><name>Sun X.H.</name></creator><creator><name>Rudnick L.</name></creator><creator><name>Akahori T.</name></creator><creator><name>Anderson C.S.</name></creator><creator><name>Bell M.R.</name></creator><creator><name>Bray J.D.,Farnes J.S.</name></creator><creator><name>Ideguchi S.</name></creator><creator><name>Kumazaki K.</name></creator><creator><name>O'Brien T.</name></creator><creator><name>O'Sullivan S.P.,Scaife A.M.M.</name></creator><creator><name>Stepanov R.</name></creator><creator><name>Stil J.</name></creator><creator><name>Takahashi K.</name></creator><creator><name>van Weeren R.J.,Wolleben M.</name></creator><date role="Updated">2015-05-10T14:43:44Z</date><date role="Created">2015-04-16T12:46:43Z</date><contact><name>CDS support team</name><address>CDS, Observatoire de Strasbourg, 11 rue de l'Universite, F-67000 Strasbourg, France</address><email>cds-question@unistra.fr</email></contact></curation><content><subject>magnetic-fields</subject><subject>polarimetry</subject><description>Faraday rotation measures (RMs) and more general Faraday structures are key parameters for studying cosmic magnetism and are also sensitive probes of faint ionized thermal gas. A definition of which derived quantities are required for various scientific studies is needed, as well as addressing the challenges in determining Faraday structures. A wide variety of algorithms has been proposed to reconstruct these structures. In preparation for the Polarization Sky Survey of the Universe's Magnetism (POSSUM) to be conducted with the Australian Square Kilometre Array Pathfinder and the ongoing Galactic Arecibo L-band Feeds Array Continuum Transit Survey (GALFACTS), we run a Faraday structure determination data challenge to benchmark the currently available algorithms, including Faraday synthesis (previously called RM synthesis in the literature), wavelet, compressive sampling, and QU-fitting. The input models include sources with one Faraday thin component, two Faraday thin components, and one Faraday thick component. The frequency set is similar to POSSUM/GALFACTS with a 300MHz bandwidth from 1.1 to 1.4GHz. We define three figures of merit motivated by the underlying science: (1) an average RM weighted by polarized intensity, RM_wtd_, (2) the separation {Delta}_{phi}_ of two Faraday components, and (3) the reduced chi-squared {Chi}_r_^2^. Based on the current test data with a signal-to-noise ratio of about 32, we find the following. (1) When only one Faraday thin component is present, most methods perform as expected, with occasional failures where two components are incorrectly found. (2) For two Faraday thin components, QU-fitting routines perform the best, with errors close to the theoretical ones for RM_wtd_ but with significantly higher errors for {Delta}_{phi}_. All other methods, including standard Faraday synthesis, frequently identify only one component when {Delta}_{phi}_ is below or near the width of the Faraday point-spread function. (3) No methods as currently implemented work well for Faraday thick components due to the narrow bandwidth. (4) There exist combinations of two Faraday components that produce a large range of acceptable fits and hence large uncertainties in the derived single RMs; in these cases, different RMs lead to the same Q, U behavior, so no method can recover a unique input model. Further exploration of all these issues is required before upcoming surveys will be able to provide reliable results on Faraday structures.</description><source format="bibcode">2015AJ....149...60S</source><referenceURL>https://cdsarc.cds.unistra.fr/viz-bin/cat/J/AJ/149/60</referenceURL><type>Catalog</type><contentLevel>Research</contentLevel><relationship><relationshipType>IsServedBy</relationshipType><relatedResource ivo-id="ivo://CDS.VizieR/TAP">TAP VizieR generic service</relatedResource></relationship><relationship><relationshipType>related-to</relationshipType><relatedResource ivo-id="ivo://CDS.VizieR/VIII/65">VIII/65 : 1.4GHz NRAO VLA Sky Survey (NVSS) (Condon+ 1998)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/ApJS/212/15">J/ApJS/212/15 : Polarized NVSS sources SEDs (Farnes+, 2014)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/ApJ/759/25">J/ApJ/759/25 : Rotation measures at 1.4GHz toward the LMC (Mao+, 2012)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/ApJ/728/97">J/ApJ/728/97 : VLA rotation measures in the Galactic plane (Van Eck+, 2011)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/ApJ/714/1170">J/ApJ/714/1170 : Faraday rotation at high Galactic latitude (Mao+, 2010)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/ApJ/702/1230">J/ApJ/702/1230 : Rotation measure image of the sky (Taylor+, 2009)</relatedResource></relationship></content><rights>https://cds.unistra.fr/vizier-org/licences_vizier.html</rights><capability><interface xsi:type="vr:WebBrowser"><accessURL use="full">https://vizier.cds.unistra.fr/viz-bin/VizieR-2?-source=J/AJ/149/60</accessURL><mirrorURL title="VizieR at IUCAA: Pune, India">https://vizier.iucaa.in/viz-bin/VizieR-2?-source=J/AJ/149/60</mirrorURL><mirrorURL title="VizieR at SAAO: SAAO, South Africa">http://vizieridia.saao.ac.za/viz-bin/VizieR-2?-source=J/AJ/149/60</mirrorURL></interface></capability><capability><interface xsi:type="vs:ParamHTTP"><accessURL use="base">https://vizier.cds.unistra.fr/viz-bin/votable?-source=J/AJ/149/60</accessURL><mirrorURL title="VizieR at IUCAA: Pune, India">https://vizier.iucaa.in/viz-bin/votable?-source=J/AJ/149/60</mirrorURL><mirrorURL title="VizieR at SAAO: SAAO, South Africa">http://vizieridia.saao.ac.za/viz-bin/votable?-source=J/AJ/149/60</mirrorURL><queryType>GET</queryType><resultType>text/xml+votable</resultType></interface></capability><capability standardID="ivo://ivoa.net/std/TAP#aux"><interface xsi:type="vs:ParamHTTP" role="std"><accessURL use="base">https://tapvizier.cds.unistra.fr/TAPVizieR/tap</accessURL></interface></capability><coverage><footprint ivo-id="ivo://ivoa.net/std/moc"/></coverage><tableset><schema><name>default</name><table><name>J/AJ/149/60/table3</name><description>Input models and results for the data challenge</description><column><name>recno</name><description>Record number assigned by the VizieR team. Should Not be used for identification.</description><ucd>meta.record</ucd><dataType xsi:type="vs:VOTableType">int</dataType></column><column><name>Comp</name><description>Faraday component type (one, two, or thick) (1)</description><ucd>meta.id;stat.fit</ucd><dataType xsi:type="vs:VOTableType" arraysize="5*">char</dataType></column><column><name>Model</name><description>Algorithm description (Method-Name)</description><ucd>meta.id;stat.fit</ucd><dataType xsi:type="vs:VOTableType" arraysize="10*">char</dataType></column><column><name>Meth</name><description>Method (Wavelet, CS, FS, or QU) (2)</description><ucd>meta.note</ucd><dataType xsi:type="vs:VOTableType" arraysize="8*">char</dataType></column><column><name>Name</name><description>Abbreviation of the participant's name (3)</description><ucd>obs.observer</ucd><dataType xsi:type="vs:VOTableType" arraysize="3*">char</dataType></column><column><name>pol1</name><description>? Thin component 1 percent polarization</description><unit>%</unit><ucd>phys.polarization</ucd><dataType xsi:type="vs:VOTableType">float</dataType><flag>nullable</flag></column><column><name>phi1</name><description>? Thin component 1 Faraday depth {phi}_1_ (1)</description><unit>rad.m**-2</unit><ucd>phys.absorption.opticalDepth</ucd><dataType xsi:type="vs:VOTableType">float</dataType><flag>nullable</flag></column><column><name>chi1</name><description>? Thin component 1 polarization angle {chi}_1_</description><unit>deg</unit><ucd>phys.polarization.rotMeasure</ucd><dataType xsi:type="vs:VOTableType">float</dataType><flag>nullable</flag></column><column><name>pol2</name><description>? Thin component 2 percent polarization</description><unit>%</unit><ucd>phys.polarization</ucd><dataType xsi:type="vs:VOTableType">float</dataType><flag>nullable</flag></column><column><name>phi2</name><description>? Thin component 2 Faraday depth {phi}_2_ (1)</description><unit>rad.m**-2</unit><ucd>phys.absorption.opticalDepth</ucd><dataType xsi:type="vs:VOTableType">float</dataType><flag>nullable</flag></column><column><name>chi2</name><description>? Thin component 2 polarization angle {chi}_2_</description><unit>deg</unit><ucd>phys.polarization.rotMeasure</ucd><dataType xsi:type="vs:VOTableType">float</dataType><flag>nullable</flag></column><column><name>polc</name><description>? Thick component percent polarization p_0_</description><unit>%</unit><ucd>phys.polarization</ucd><dataType xsi:type="vs:VOTableType">float</dataType><flag>nullable</flag></column><column><name>phic</name><description>? Thick component central Faraday depth {phi}_c_ (1)</description><unit>rad.m**-2</unit><ucd>phys.absorption.opticalDepth</ucd><dataType xsi:type="vs:VOTableType">float</dataType><flag>nullable</flag></column><column><name>phis</name><description>? Thick component Faraday depth extent {phi}_s_ (1)</description><unit>rad.m**-2</unit><ucd>phys.absorption.opticalDepth</ucd><dataType xsi:type="vs:VOTableType">float</dataType><flag>nullable</flag></column><column><name>RM</name><description>? Weighted average Faraday rotation measure (4)</description><unit>rad.m**-2</unit><ucd>phys.polarization.rotMeasure;stat.mean</ucd><dataType xsi:type="vs:VOTableType">float</dataType><flag>nullable</flag></column><column><name>chi2r</name><description>? Reduced {chi}^2^ of fit</description><ucd>stat.fit.chi2</ucd><dataType xsi:type="vs:VOTableType">float</dataType><flag>nullable</flag></column></table></schema></tableset></ri:Resource>