Polarimetric Properties of Event Horizon Telescope Targets from ALMA
- Creators
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Goddi, Ciriaco
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Martí-Vidal, Iván
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Messias, Hugo
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Bower, Geoffrey C.
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Broderick, Avery E.
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Dexter, Jason
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Marrone, Daniel P.
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Moscibrodzka, Monika
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Nagai, Hiroshi
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Algaba, Juan Carlos
- Asada, Keiichi
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Crew, Geoffrey B.
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Gómez, José L.
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Impellizzeri, C. M. Violette
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Janssen, Michael
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Kadler, Matthias
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Krichbaum, Thomas P.
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Lico, Rocco
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Matthews, Lynn D.
- Nathanail, Antonios
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Ricarte, Angelo
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Ros, Eduardo
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Younsi, Ziri
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Akiyama, Kazunori
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Alberdi, Antxon
- Alef, Walter
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Anantua, Richard
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Azulay, Rebecca
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Baczko, Anne-Kathrin
- Ball, David
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Baloković, Mislav
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Barrett, John
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Benson, Bradford A.
- Bintley, Dan
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Blackburn, Lindy
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Blundell, Raymond
- Boland, Wilfred
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Bouman, Katherine L.
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Boyce, Hope
- Bremer, Michael
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Brinkerink, Christiaan D.
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Brissenden, Roger
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Britzen, Silke
- Broguiere, Dominique
- Bronzwaer, Thomas
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Byun, Do-Young
- Carlstrom, John E.
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Chael, Andrew
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Chan, Chi-kwan
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Chatterjee, Shami
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Chatterjee, Koushik
- Chen, Ming-Tang
- Chen, Yongjun
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Chesler, Paul M.
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Cho, Ilje
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Christian, Pierre
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Conway, John E.
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Cordes, James M.
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Crawford, Thomas M.
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Cruz-Osorio, Alejandro
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Cui, Yuzhu
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Davelaar, Jordy
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De Laurentis, Mariafelicia
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Deane, Roger
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Dempsey, Jessica
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Desvignes, Gregory
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Doeleman, Sheperd S.
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Eatough, Ralph P.
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Falcke, Heino
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Farah, Joseph
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Fish, Vincent L.
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Fomalont, Ed
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Ford, H. Alyson
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Fraga-Encinas, Raquel
- Freeman, William T.
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Friberg, Per
- Fromm, Christian M.
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Fuentes, Antonio
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Galison, Peter
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Gammie, Charles F.
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García, Roberto
- Gentaz, Olivier
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Georgiev, Boris
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Gold, Roman
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Gómez-Ruiz, Arturo I.
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Gu, Minfeng
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Gurwell, Mark
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Hada, Kazuhiro
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Haggard, Daryl
- Hecht, Michael H.
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Hesper, Ronald
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Ho, Luis C.
- Ho, Paul
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Honma, Mareki
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Huang, Chih-Wei L.
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Huang, Lei
- Hughes, David H.
- Inoue, Makoto
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Issaoun, Sara
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James, David J.
- Jannuzi, Buell T.
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Jeter, Britton
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Jiang, Wu
- Jimenez-Rosales, Alejandra
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Johnson, Michael D.
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Jorstad, Svetlana
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Jung, Taehyun
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Karami, Mansour
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Karuppusamy, Ramesh
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Kawashima, Tomohisa
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Keating, Garrett K.
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Kettenis, Mark
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Kim, Dong-Jin
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Kim, Jae-Young
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Kim, Jongsoo
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Kim, Junhan
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Kino, Motoki
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Koay, Jun Yi
- Kofuji, Yutaro
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Koch, Patrick M.
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Koyama, Shoko
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Kramer, Michael
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Kramer, Carsten
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Kuo, Cheng-Yu
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Lauer, Tod R.
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Lee, Sang-Sung
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Levis, Aviad
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Li, Yan-Rong
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Li, Zhiyuan
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Lindqvist, Michael
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Lindahl, Greg
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Liu, Jun
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Liu, Kuo
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Liuzzo, Elisabetta
- Lo, Wen-Ping
- Lobanov, Andrei P.
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Loinard, Laurent
- Lonsdale, Colin
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Lu, Ru-Sen
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MacDonald, Nicholas R.
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Mao, Jirong
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Marchili, Nicola
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Markoff, Sera
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Marscher, Alan P.
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Matsushita, Satoki
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Medeiros, Lia
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Menten, Karl M.
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Mizuno, Izumi
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Mizuno, Yosuke
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Moran, James M.
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Moriyama, Kotaro
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Müller, Cornelia
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Musoke, Gibwa
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Mejías, Alejandro Mus
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Nagar, Neil M.
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Nakamura, Masanori
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Narayan, Ramesh
- Narayanan, Gopal
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Natarajan, Iniyan
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Neilsen, Joey
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Neri, Roberto
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Ni, Chunchong
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Noutsos, Aristeidis
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Nowak, Michael A.
- Okino, Hiroki
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Olivares, Héctor
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Ortiz-León, Gisela N.
- Oyama, Tomoaki
- Özel, Feryal
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Palumbo, Daniel C. M.
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Park, Jongho
- Patel, Nimesh
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Pen, Ue-Li
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Pesce, Dominic W.
- Piétu, Vincent
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Plambeck, Richard
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Porth, Oliver
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Pötzl, Felix M.
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Prather, Ben
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Preciado-López, Jorge A.
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Psaltis, Dimitrios
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Pu, Hung-Yi
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Ramakrishnan, Venkatessh
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Rao, Ramprasad
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Rawlings, Mark G.
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Raymond, Alexander W.
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Rezzolla, Luciano
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Ripperda, Bart
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Roelofs, Freek
- Rogers, Alan
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Rose, Mel
- Roshanineshat, Arash
- Rottmann, Helge
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Roy, Alan L.
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Ruszczyk, Chet
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Rygl, Kazi L. J.
- Sánchez, Salvador
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Sánchez-Arguelles, David
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Sasada, Mahito
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Savolainen, Tuomas
- Schloerb, F. Peter
- Schuster, Karl-Friedrich
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Shao, Lijing
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Shen, Zhiqiang
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Small, Des
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Sohn, Bong Won
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SooHoo, Jason
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Sun, He
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Tazaki, Fumie
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Tetarenko, Alexandra J.
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Tiede, Paul
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Tilanus, Remo P. J.
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Titus, Michael
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Toma, Kenji
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Torne, Pablo
- Trent, Tyler
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Traianou, Efthalia
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Trippe, Sascha
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Bemmel, Ilse van
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van Langevelde, Huib Jan
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van Rossum, Daniel R.
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Wagner, Jan
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Ward-Thompson, Derek
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Wardle, John
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Weintroub, Jonathan
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Wex, Norbert
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Wharton, Robert
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Wielgus, Maciek
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Wong, George N.
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Wu, Qingwen
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Yoon, Doosoo
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Young, André
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Young, Ken
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Yuan, Feng
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Yuan, Ye-Fei
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Zensus, J. Anton
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Zhao, Guang-Yao
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Zhao, Shan-Shan
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Bruni, Gabriele
- Gopakumar, A.
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Hernández-Gómez, Antonio
- Herrero-Illana, Ruben
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Ingram, Adam
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Komossa, S.
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Kovalev, Y. Y.
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Muders, Dirk
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Perucho, Manel
- Rösch, Florian
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Valtonen, Mauri
Abstract
We present the results from a full polarization study carried out with the Atacama Large Millimeter/submillimeter Array (ALMA) during the first Very Long Baseline Interferometry (VLBI) campaign, which was conducted in 2017 April in the λ3 mm and λ1.3 mm bands, in concert with the Global mm-VLBI Array (GMVA) and the Event Horizon Telescope (EHT), respectively. We determine the polarization and Faraday properties of all VLBI targets, including Sgr A*, M87, and a dozen radio-loud active galactic nuclei (AGNs), in the two bands at several epochs in a time window of 10 days. We detect high linear polarization fractions (2%–15%) and large rotation measures (RM > 10^(3.3)–10^(5.5) rad m⁻²), confirming the trends of previous AGN studies at millimeter wavelengths. We find that blazars are more strongly polarized than other AGNs in the sample, while exhibiting (on average) order-of-magnitude lower RM values, consistent with the AGN viewing angle unification scheme. For Sgr A* we report a mean RM of (−4.2 ± 0.3) × 10⁵ rad m⁻² at 1.3 mm, consistent with measurements over the past decade and, for the first time, an RM of (–2.1 ± 0.1) × 10⁵ rad m⁻² at 3 mm, suggesting that about half of the Faraday rotation at 1.3 mm may occur between the 3 mm photosphere and the 1.3 mm source. We also report the first unambiguous measurement of RM toward the M87 nucleus at millimeter wavelengths, which undergoes significant changes in magnitude and sign reversals on a one year timescale, spanning the range from −1.2 to 0.3 × 10⁵ rad m⁻² at 3 mm and −4.1 to 1.5 × 10⁵ rad m⁻² at 1.3 mm. Given this time variability, we argue that, unlike the case of Sgr A*, the RM in M87 does not provide an accurate estimate of the mass accretion rate onto the black hole. We put forward a two-component model, comprised of a variable compact region and a static extended region, that can simultaneously explain the polarimetric properties observed by both the EHT (on horizon scales) and ALMA (which observes the combined emission from both components). These measurements provide critical constraints for the calibration, analysis, and interpretation of simultaneously obtained VLBI data with the EHT and GMVA.
Additional Information
© 2021. The American Astronomical Society. Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Received 2021 February 2; revised 2021 March 11; accepted 2021 March 12; published 2021 March 24. The ALMA measurements presented in this work provide critical constraints for the calibration and analysis of simultaneously obtained VLBI data. This is an essential resource for two instruments like the EHT and the GMVA which have the resolving power to reveal polarization structures and measure magnetic field strengths and particle densities on horizon scales (in the case of M87 and Sgr A*) and/or in the inner few parsecs for the AGNs. ALMA is a partnership of the European Southern Observatory (ESO; Europe, representing its member states), NSF, and National Institutes of Natural Sciences of Japan, together with National Research Council (Canada), Ministry of Science and Technology (MOST; Taiwan), Academia Sinica Institute of Astronomy and Astrophysics (ASIAA; Taiwan), and Korea Astronomy and Space Science Institute (KASI; Republic of Korea), in cooperation with the Republic of Chile. The Joint ALMA Observatory is operated by ESO, Associated Universities, Inc. (AUI)/NRAO, and the National Astronomical Observatory of Japan (NAOJ). The NRAO is a facility of the NSF operated under cooperative agreement by AUI. This Letter makes use of the following ALMA data: ADS/JAO.ALMA#2016.1.00413.V ADS/JAO.ALMA#2016.1.01116.V ADS/JAO.ALMA#2016.1.01216.V ADS/JAO.ALMA#2016.1.01114.V ADS/JAO.ALMA#2016.1.01154.V ADS/JAO.ALMA#2016.1.01176.V ADS/JAO.ALMA#2016.1.01198.V ADS/JAO.ALMA#2016.1.01290.V ADS/JAO.ALMA#2016.1.01404.V ADS/JAO.ALMA#2017.1.00841.V ADS/JAO.ALMA#2013.1.01022.S ADS/JAO.ALMA#2015.1.01170.S ADS/JAO.ALMA#2016.1.00415.S ADS/JAO.ALMA#2017.1.00608.S The authors of the present Letter thank the following organizations and programs: the Academy of Finland (projects 274477, 284495, 312496, 315721); the Advanced European Network of E-infrastructures for Astronomy with the SKA (AENEAS) project, supported by the European Commission Framework Programme Horizon 2020 Research and Innovation action under grant agreement 731016; the Alexander von Humboldt Stiftung; an Alfred P. Sloan Research Fellowship; Allegro, the European ALMA Regional Centre node in the Netherlands, the NL astronomy research network NOVA and the astronomy institutes of the University of Amsterdam, Leiden University and Radboud University; the black hole Initiative at Harvard University, through a grant (60477) from the John Templeton Foundation; the China Scholarship Council; Agencia Nacional de Investigación y Desarrollo (ANID), Chile via NCN19_058 (TITANs) and Fondecyt 3190878; Consejo Nacional de Ciencia y Tecnología (CONACYT, Mexico, projects U0004-246083, U0004-259839, F0003-272050, M0037-279006, F0003-281692, 104497, 275201, 263356); the Delaney Family via the Delaney Family John A. Wheeler Chair at Perimeter Institute; Dirección General de Asuntos del Personal Académico–Universidad Nacional Autónoma de México (DGAPA–UNAM, projects IN112417 and IN112820); the European Research Council Synergy Grant "BlackHoleCam: Imaging the Event Horizon of Black Holes" (grant 610058); the Generalitat Valenciana postdoctoral grant APOSTD/2018/177 and GenT Program (project CIDEGENT/2018/021); MICINN Research Project PID2019-108995GB-C22; the Gordon and Betty Moore Foundation (grants GBMF-3561, GBMF-5278); the Istituto Nazionale di Fisica Nucleare (INFN) sezione di Napoli, iniziative specifiche TEONGRAV; the International Max Planck Research School for Astronomy and Astrophysics at the Universities of Bonn and Cologne; the Jansky Fellowship program of the National Radio Astronomy Observatory (NRAO); Joint Princeton/Flatiron and Joint Columbia/Flatiron Postdoctoral Fellowships, research at the Flatiron Institute is supported by the Simons Foundation; the Japanese Government (Monbukagakusho: MEXT) Scholarship; the Japan Society for the Promotion of Science (JSPS) Grant-in-Aid for JSPS Research Fellowship (JP17J08829); the Key Research Program of Frontier Sciences, Chinese Academy of Sciences (CAS, grants QYZDJ-SSW-SLH057, QYZDJSSW-SYS008, ZDBS-LY-SLH011); the Leverhulme Trust Early Career Research Fellowship; the Max-Planck-Gesellschaft (MPG); the Max Planck Partner Group of the MPG and the CAS; the MEXT/JSPS KAKENHI (grants 18KK0090, JP18K13594, JP18K03656, JP18H03721, 18K03709, 18H01245, 25120007); the Malaysian Fundamental Research Grant Scheme (FRGS) FRGS/1/2019/STG02/UM/02/6; the MIT International Science and Technology Initiatives (MISTI) Funds; the Ministry of Science and Technology (MOST) of Taiwan (105-2112-M-001-025-MY3, 106-2112-M-001-011, 106-2119-M-001-027, 107-2119-M-001-017, 107-2119-M-001-020, and 107-2119-M-110-005, MOST 108-2112-M-001-048 and MOST 109-2124-M-001-005); the National Aeronautics and Space Administration (NASA, Fermi Guest Investigator grant 80NSSC20K1567, NASA Astrophysics Theory Program grant 80NSSC20K0527, and Hubble Fellowship grant HST-HF2-51431.001-A awarded by the Space Telescope Science Institute, which is operated by the Association of Universities for Research in Astronomy, Inc., for NASA, under contract NAS5-26555, ); the National Institute of Natural Sciences (NINS) of Japan; the National Key Research and Development Program of China (grant 2016YFA0400704, 2016YFA0400702); the National Science Foundation (NSF, grants AST-0096454, AST-0352953, AST-0521233, AST-0705062, AST-0905844, AST-0922984, AST-1126433, AST-1140030, DGE-1144085, AST-1207704, AST-1207730, AST-1207752, MRI-1228509, OPP-1248097, AST-1310896, AST-1337663, AST-1440254, AST-1555365, AST-1615796, AST-1715061, AST-1716327, AST-1716536, OISE-1743747, AST-1816420, AST-1903847, AST-1935980, AST-2034306); the Natural Science Foundation of China (grants 11573051, 11633006, 11650110427, 10625314, 11721303, 11725312, 11933007, 11991052, 11991053); a fellowship of China Postdoctoral Science Foundation (2020M671266); the Natural Sciences and Engineering Research Council of Canada (NSERC, including a Discovery Grant and the NSERC Alexander Graham Bell Canada Graduate Scholarships-Doctoral Program); the National Youth Thousand Talents Program of China; the National Research Foundation of Korea (the Global PhD Fellowship Grant: grants NRF-2015H1A2A1033752, 2015- R1D1A1A01056807, the Korea Research Fellowship Program: NRF-2015H1D3A1066561, Basic Research Support Grant 2019R1F1A1059721); the Netherlands Organization for Scientific Research (NWO) VICI award (grant 639.043.513) and Spinoza Prize SPI 78-409; the New Scientific Frontiers with Precision Radio Interferometry Fellowship awarded by the South African Radio Astronomy Observatory (SARAO), which is a facility of the National Research Foundation (NRF), an agency of the Department of Science and Technology (DST) of South Africa; the Onsala Space Observatory (OSO) national infrastructure, for the provisioning of its facilities/observational support (OSO receives funding through the Swedish Research Council under grant 2017-00648) the Perimeter Institute for Theoretical Physics (research at Perimeter Institute is supported by the Government of Canada through the Department of Innovation, Science and Economic Development and by the Province of Ontario through the Ministry of Research, Innovation and Science); the Spanish Ministerio de Economía y Competitividad (grants PGC2018-098915-B-C21, AYA2016-80889-P, PID2019-108995GB-C21); the State Agency for Research of the Spanish MCIU through the "Center of Excellence Severo Ochoa" award for the Instituto de Astrofísica de Andalucía (SEV-2017-0709); the Toray Science Foundation; the Consejería de Economía, Conocimiento, Empresas y Universidad of the Junta de Andalucía (grant P18-FR-1769), the Consejo Superior de Investigaciones Científicas (grant 2019AEP112); the US Department of Energy (USDOE) through the Los Alamos National Laboratory (operated by Triad National Security, LLC, for the National Nuclear Security Administration of the USDOE (Contract 89233218CNA000001); the Italian Ministero dell'Istruzione Universitá e Ricerca through the grant Progetti Premiali 2012-iALMA (CUP C52I13000140001); the European Union's Horizon 2020 research and innovation program under grant agreement No 730562 RadioNet; ALMA North America Development Fund; the Academia Sinica; Chandra TM6-17006X; the GenT Program (Generalitat Valenciana) Project CIDEGENT/2018/021; NASA NuSTAR award 80NSSC20K0645; Chandra award DD7-18089X. This work used the Extreme Science and Engineering Discovery Environment (XSEDE), supported by NSF grant ACI-1548562, and CyVerse, supported by NSF grants DBI-0735191, DBI-1265383, and DBI-1743442. XSEDE Stampede2 resource at TACC was allocated through TG-AST170024 and TG-AST080026N. XSEDE JetStream resource at PTI and TACC was allocated through AST170028. The simulations were performed in part on the SuperMUC cluster at the LRZ in Garching, on the LOEWE cluster in CSC in Frankfurt, and on the HazelHen cluster at the HLRS in Stuttgart. This research was enabled in part by support provided by Compute Ontario (http://computeontario.ca), Calcul Quebec (http://www.calculquebec.ca) and Compute Canada (http://www.computecanada.ca). We thank the staff at the participating observatories in the GMVA and EHT, correlation centers, and institutions for their enthusiastic support. The GMVA is coordinated by the VLBI group at the Max-Planck-Institut für Radioastronomie (MPIfR) and consists of telescopes operated by MPIfR, IRAM, Onsala, Metsahovi, Yebes, the Korean VLBI Network, the Green Bank Observatory and the VLBA. APEX is a collaboration between the MPIfR (Germany), ESO, and the Onsala Space Observatory (Sweden). The SMA is a joint project between the SAO and ASIAA and is funded by the Smithsonian Institution and the Academia Sinica. The JCMT is operated by the East Asian Observatory on behalf of the NAOJ, ASIAA, and KASI, as well as the Ministry of Finance of China, Chinese Academy of Sciences, and the National Key R&D Program (No. 2017YFA0402700) of China. Additional funding support for the JCMT is provided by the Science and Technologies Facility Council (UK) and participating universities in the UK and Canada. The LMT is a project operated by the Instituto Nacional de Astrófisica, Óptica, y Electrónica (Mexico) and the University of Massachusetts at Amherst (USA). The IRAM 30 m telescope on Pico Veleta, Spain is operated by IRAM and supported by CNRS (Centre National de la Recherche Scientifique, France), MPG (Max-Planck-Gesellschaft, Germany) and IGN (Instituto Geográfico Nacional, Spain). The SMT is operated by the Arizona Radio Observatory, a part of the Steward Observatory of the University of Arizona, with financial support of operations from the State of Arizona and financial support for instrumentation development from the NSF. The SPT is supported by the National Science Foundation through grant PLR-1248097. Partial support is also provided by the NSF Physics Frontier Center grant PHY-1125897 to the Kavli Institute of Cosmological Physics at the University of Chicago, the Kavli Foundation and the Gordon and Betty Moore Foundation grant GBMF 947. The SPT hydrogen maser was provided on loan from the GLT, courtesy of ASIAA. The EHTC has received generous donations of FPGA chips from Xilinx Inc., under the Xilinx University Program. The EHTC has benefited from technology shared under open-source license by the Collaboration for Astronomy Signal Processing and Electronics Research (CASPER). The EHT project is grateful to T4Science and Microsemi for their assistance with Hydrogen Masers. This research has made use of NASA's Astrophysics Data System. We gratefully acknowledge the support provided by the extended staff of the ALMA, both from the inception of the ALMA Phasing Project through the observational campaigns of 2017 and 2018. We would like to thank A. Deller and W. Brisken for EHT-specific support with the use of DiFX. We thank Sergio Martin for the help interpreting the Sgr A* spectrum in SPW = 2. We acknowledge the significance that Maunakea, where the SMA and JCMT EHT stations are located, has for the indigenous Hawaiian people. M.P. acknowledges support by the Spanish Ministry of Science through Grants PID2019-105510GB-C31, and PID2019-107427GB-C33, and from the Generalitat Valenciana through grant PROMETEU/2019/071.Attached Files
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Additional details
- Eprint ID
- 108619
- Resolver ID
- CaltechAUTHORS:20210405-101639564
- Academy of Finland
- 274477
- Academy of Finland
- 284495
- Academy of Finland
- 312496
- Academy of Finland
- 315721
- European Research Council (ERC)
- 731016
- Alexander von Humboldt Stiftung
- Alfred P. Sloan Foundation
- Allegro
- ALMA Regional Centre
- Nederlandse Onderzoekschool Voor Astronomie (NOVA)
- University of Amsterdam
- Leiden University
- Radboud University
- Harvard University
- John Templeton Foundation
- 60477
- China Scholarship Council
- Agencia Nacional de Investigación y Desarrollo (ANID)
- NCN19_058
- Fondo Nacional de Desarrollo Científico y Tecnológico (FONDECYT)
- 3190878
- Consejo Nacional de Ciencia y Tecnología (CONACYT)
- U0004-246083
- Consejo Nacional de Ciencia y Tecnología (CONACYT)
- U0004-259839
- Consejo Nacional de Ciencia y Tecnología (CONACYT)
- F0003-272050
- Consejo Nacional de Ciencia y Tecnología (CONACYT)
- M0037-279006
- Consejo Nacional de Ciencia y Tecnología (CONACYT)
- F0003-281692
- Consejo Nacional de Ciencia y Tecnología (CONACYT)
- 104497
- Consejo Nacional de Ciencia y Tecnología (CONACYT)
- 275201
- Consejo Nacional de Ciencia y Tecnología (CONACYT)
- 263356
- Delaney Family John A. Wheeler Chair
- Dirección General de Asuntos del Personal Académico-Universidad Nacional Autónoma de México
- IN112417
- Dirección General de Asuntos del Personal Académico-Universidad Nacional Autónoma de México
- IN112820
- European Research Council (ERC)
- 610058
- Generalitat Valenciana
- APOSTD/2018/177
- Generalitat Valenciana
- CIDEGENT/2018/021
- Ministerio de Ciencia e Innovación (MCINN)
- PID2019-108995GB-C22
- Gordon and Betty Moore Foundation
- GBMF-3561
- Gordon and Betty Moore Foundation
- GBMF-5278
- Istituto Nazionale di Fisica Nucleare (INFN)
- International Max Planck Research School (IMPRS) for Astronomy and Astrophysics
- National Radio Astronomy Observatory (NRAO)
- Princeton University
- Flatiron Institute
- Columbia University
- Simons Foundation
- Ministry of Education, Culture, Sports, Science and Technology (MEXT)
- Japan Society for the Promotion of Science (JSPS)
- JP17J08829
- Key Research Program of Frontier Sciences
- Chinese Academy of Sciences
- QYZDJ-SSW-SLH057
- Chinese Academy of Sciences
- QYZDJSSW-SYS008
- Chinese Academy of Sciences
- ZDBS-LY-SLH011
- Leverhulme Trust
- Max-Planck-Gesellschaft (MPG)
- Japan Society for the Promotion of Science (JSPS)
- 18KK0090
- Japan Society for the Promotion of Science (JSPS)
- JP18K13594
- Japan Society for the Promotion of Science (JSPS)
- JP18K03656
- Japan Society for the Promotion of Science (JSPS)
- JP18H03721
- Japan Society for the Promotion of Science (JSPS)
- 18K03709
- Japan Society for the Promotion of Science (JSPS)
- 18H01245
- Japan Society for the Promotion of Science (JSPS)
- 25120007
- Malaysian Fundamental Research Grant
- FRGS/1/2019/STG02/UM/02/6
- Massachusetts Institute of Technology (MIT)
- Ministry of Science and Technology (Taipei)
- 105-2112-M-001-025-MY3
- Ministry of Science and Technology (Taipei)
- 106-2112-M-001-011
- Ministry of Science and Technology (Taipei)
- 106-2119-M-001-027
- Ministry of Science and Technology (Taipei)
- 107-2119-M-001-017
- Ministry of Science and Technology (Taipei)
- 107-2119-M-001-020
- Ministry of Science and Technology (Taipei)
- 107-2119-M-110-005
- Ministry of Science and Technology (Taipei)
- 108-2112-M-001-048
- Ministry of Science and Technology (Taipei)
- 109-2124-M-001-005
- NASA
- 80NSSC20K1567
- NASA
- 80NSSC20K0527
- NASA Hubble Fellowship
- HST-HF2-51431.001-A
- NASA
- NAS5-26555
- National Institute of Natural Sciences (NINS)
- National Key Research and Development Program of China
- 2016YFA0400704
- National Key Research and Development Program of China
- 2016YFA0400702
- NSF
- AST-0096454
- NSF
- AST-0352953
- NSF
- AST-0521233
- NSF
- AST-0705062
- NSF
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- MRI-1228509
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- OPP-1248097
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- NSF
- OISE-1743747
- NSF
- AST-1816420
- NSF
- AST-1903847
- NSF
- AST-1935980
- NSF
- AST-2034306
- National Natural Science Foundation of China
- 11573051
- National Natural Science Foundation of China
- 11633006
- National Natural Science Foundation of China
- 11650110427
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- 10625314
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- 11721303
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- 11725312
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- 11933007
- National Natural Science Foundation of China
- 11991052
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- 11991053
- China Postdoctoral Science Foundation
- 2020M671266
- Natural Sciences and Engineering Research Council of Canada (NSERC)
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- National Research Foundation of Korea
- NRF-2015H1A2A1033752
- National Research Foundation of Korea
- 2015-R1D1A1A01056807
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- NRF-2015H1D3A1066561
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- 2019R1F1A1059721
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- 639.043.513
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- SPI 78-409
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- 2017-00648
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- PID2019-108995GB-C21
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- Severo Ochoa
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- 89233218CNA000001
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- PID2019-105510GB-C31
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2021-04-07Created from EPrint's datestamp field
- Updated
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2021-04-07Created from EPrint's last_modified field
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