Comparison of Polarized Radiative Transfer Codes Used by the EHT Collaboration

Author:

Prather Ben S.ORCID,Dexter JasonORCID,Moscibrodzka MonikaORCID,Pu Hung-YiORCID,Bronzwaer ThomasORCID,Davelaar JordyORCID,Younsi ZiriORCID,Gammie Charles F.ORCID,Gold RomanORCID,Wong George N.ORCID,Akiyama KazunoriORCID,Alberdi AntxonORCID,Alef Walter,Algaba Juan CarlosORCID,Anantua RichardORCID,Asada KeiichiORCID,Azulay RebeccaORCID,Bach UweORCID,Baczko Anne-KathrinORCID,Ball David,Baloković MislavORCID,Barrett JohnORCID,Bauböck MichiORCID,Benson Bradford A.ORCID,Bintley Dan,Blackburn LindyORCID,Blundell RaymondORCID,Bouman Katherine L.ORCID,Bower Geoffrey C.ORCID,Boyce HopeORCID,Bremer Michael,Brinkerink Christiaan D.ORCID,Brissenden RogerORCID,Britzen SilkeORCID,Broderick Avery E.ORCID,Broguiere DominiqueORCID,Bustamante SandraORCID,Byun Do-YoungORCID,Carlstrom John E.ORCID,Ceccobello ChiaraORCID,Chael AndrewORCID,Chan Chi-kwanORCID,Chang Dominic O.ORCID,Chatterjee KoushikORCID,Chatterjee ShamiORCID,Chen Ming-TangORCID,Chen 陈 Yongjun 永军ORCID,Cheng XiaopengORCID,Cho IljeORCID,Christian PierreORCID,Conroy Nicholas S.ORCID,Conway John E.ORCID,Cordes James M.ORCID,Crawford Thomas M.ORCID,Crew Geoffrey B.ORCID,Cruz-Osorio AlejandroORCID,Cui 崔 Yuzhu 玉竹ORCID,De Laurentis MariafeliciaORCID,Deane RogerORCID,Dempsey JessicaORCID,Desvignes GregoryORCID,Dhruv VedantORCID,Doeleman Sheperd S.ORCID,Dougal SeanORCID,Dzib Sergio A.ORCID,Eatough Ralph P.ORCID,Emami RaziehORCID,Falcke HeinoORCID,Farah JosephORCID,Fish Vincent L.ORCID,Fomalont EdORCID,Ford H. AlysonORCID,Fraga-Encinas RaquelORCID,Freeman William T.,Friberg PerORCID,Fromm Christian M.ORCID,Fuentes AntonioORCID,Galison PeterORCID,García RobertoORCID,Gentaz OlivierORCID,Georgiev BorisORCID,Goddi CiriacoORCID,Gómez-Ruiz Arturo I.ORCID,Gómez José L.ORCID,Gu 顾 Minfeng 敏峰ORCID,Gurwell MarkORCID,Hada KazuhiroORCID,Haggard DarylORCID,Haworth Kari,Hecht Michael H.ORCID,Hesper RonaldORCID,Heumann DirkORCID,Ho 何 Luis C. 子山ORCID,Ho PaulORCID,Honma MarekiORCID,Huang Chih-Wei L.ORCID,Huang 黄 Lei 磊ORCID,Hughes David H.,Ikeda ShiroORCID,Impellizzeri C. M. VioletteORCID,Inoue MakotoORCID,Issaoun SaraORCID,James David J.ORCID,Jannuzi Buell T.ORCID,Janssen MichaelORCID,Jeter BrittonORCID,Jiang 江 Wu 悟ORCID,Jiménez-Rosales AlejandraORCID,Johnson Michael D.ORCID,Jorstad SvetlanaORCID,Joshi Abhishek V.ORCID,Jung TaehyunORCID,Karami MansourORCID,Karuppusamy RameshORCID,Kawashima TomohisaORCID,Keating Garrett K.ORCID,Kettenis MarkORCID,Kim Dong-JinORCID,Kim Jae-YoungORCID,Kim JongsooORCID,Kim JunhanORCID,Kino MotokiORCID,Koay Jun YiORCID,Kocherlakota PrashantORCID,Kofuji Yutaro,Koyama ShokoORCID,Kramer CarstenORCID,Kramer MichaelORCID,Krichbaum Thomas P.ORCID,Kuo Cheng-YuORCID,La Bella NoemiORCID,Lauer Tod R.ORCID,Lee DaeyoungORCID,Lee Sang-SungORCID,Leung Po KinORCID,Levis AviadORCID,Li 李 Zhiyuan 志远ORCID,Lico RoccoORCID,Lindahl GregORCID,Lindqvist MichaelORCID,Lisakov MikhailORCID,Liu 刘 Jun 俊ORCID,Liu KuoORCID,Liuzzo ElisabettaORCID,Lo Wen-PingORCID,Lobanov Andrei P.ORCID,Loinard LaurentORCID,Lonsdale Colin J.ORCID,Lu 路 Ru-Sen 如森ORCID,MacDonald Nicholas R.ORCID,Mao 毛 Jirong 基荣ORCID,Marchili NicolaORCID,Markoff SeraORCID,Marrone Daniel P.ORCID,Marscher Alan P.ORCID,Martí-Vidal IvánORCID,Matsushita SatokiORCID,Matthews Lynn D.ORCID,Medeiros LiaORCID,Menten Karl M.ORCID,Michalik DanielORCID,Mizuno IzumiORCID,Mizuno YosukeORCID,Moran James M.ORCID,Moriyama KotaroORCID,Müller CorneliaORCID,Mus AlejandroORCID,Musoke GibwaORCID,Myserlis IoannisORCID,Nadolski AndrewORCID,Nagai HiroshiORCID,Nagar Neil M.ORCID,Nakamura MasanoriORCID,Narayan RameshORCID,Narayanan GopalORCID,Natarajan IniyanORCID,Nathanail Antonios,Fuentes Santiago Navarro,Neilsen JoeyORCID,Neri RobertoORCID,Ni ChunchongORCID,Noutsos AristeidisORCID,Nowak Michael A.ORCID,Oh JunghwanORCID,Okino HirokiORCID,Olivares HéctorORCID,Ortiz-León Gisela N.ORCID,Oyama TomoakiORCID,Özel FeryalORCID,Palumbo Daniel C. M.ORCID,Paraschos Georgios FilipposORCID,Park JonghoORCID,Parsons HarrietORCID,Patel NimeshORCID,Pen Ue-LiORCID,Pesce Dominic W.ORCID,Piétu Vincent,Plambeck RichardORCID,PopStefanija Aleksandar,Porth OliverORCID,Pötzl Felix M.ORCID,Preciado-López Jorge A.ORCID,Psaltis DimitriosORCID,Ramakrishnan VenkatesshORCID,Rao RamprasadORCID,Rawlings Mark G.ORCID,Raymond Alexander W.ORCID,Rezzolla LucianoORCID,Ricarte AngeloORCID,Ripperda BartORCID,Roelofs FreekORCID,Rogers AlanORCID,Ros EduardoORCID,Romero-Cañizales CristinaORCID,Roshanineshat ArashORCID,Rottmann Helge,Roy Alan L.ORCID,Ruiz IgnacioORCID,Ruszczyk ChetORCID,Rygl Kazi L. J.ORCID,Sánchez SalvadorORCID,Sánchez-Argüelles DavidORCID,Sánchez-Portal MiguelORCID,Sasada MahitoORCID,Satapathy KaushikORCID,Savolainen TuomasORCID,Schloerb F. Peter,Schonfeld JonathanORCID,Schuster Karl-FriedrichORCID,Shao LijingORCID,Shen 沈 Zhiqiang 志强ORCID,Small DesORCID,Sohn Bong WonORCID,SooHoo JasonORCID,Souccar KamalORCID,Sun 孙 He 赫ORCID,Tazaki FumieORCID,Tetarenko Alexandra J.ORCID,Tiede PaulORCID,Tilanus Remo P. J.ORCID,Titus MichaelORCID,Torne PabloORCID,Traianou EfthaliaORCID,Trent Tyler,Trippe SaschaORCID,Turk MatthewORCID,van Bemmel IlseORCID,van Langevelde Huib JanORCID,van Rossum Daniel R.ORCID,Vos JesseORCID,Wagner JanORCID,Ward-Thompson DerekORCID,Wardle JohnORCID,Weintroub JonathanORCID,Wex NorbertORCID,Wharton RobertORCID,Wielgus MaciekORCID,Wiik KajORCID,Witzel GuntherORCID,Wondrak Michael F.ORCID,Wu 吴 Qingwen 庆文ORCID,Yamaguchi PaulORCID,Yfantis AristomenisORCID,Yoon DoosooORCID,Young AndréORCID,Young KenORCID,Yu 于 Wei 威ORCID,Yuan 袁 Feng 峰ORCID,Yuan 袁 Ye-Fei 业飞ORCID,Zensus J. AntonORCID,Zhang ShuoORCID,Zhao Guang-YaoORCID,Zhao 赵 Shan-Shan 杉杉ORCID,

Abstract

Abstract Interpretation of resolved polarized images of black holes by the Event Horizon Telescope (EHT) requires predictions of the polarized emission observable by an Earth-based instrument for a particular model of the black hole accretion system. Such predictions are generated by general relativistic radiative transfer (GRRT) codes, which integrate the equations of polarized radiative transfer in curved spacetime. A selection of ray-tracing GRRT codes used within the EHT Collaboration is evaluated for accuracy and consistency in producing a selection of test images, demonstrating that the various methods and implementations of radiative transfer calculations are highly consistent. When imaging an analytic accretion model, we find that all codes produce images similar within a pixel-wise normalized mean squared error (NMSE) of 0.012 in the worst case. When imaging a snapshot from a cell-based magnetohydrodynamic simulation, we find all test images to be similar within NMSEs of 0.02, 0.04, 0.04, and 0.12 in Stokes I, Q, U, and V, respectively. We additionally find the values of several image metrics relevant to published EHT results to be in agreement to much better precision than measurement uncertainties.

Funder

National Science Foundation

Publisher

American Astronomical Society

Subject

Space and Planetary Science,Astronomy and Astrophysics

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