A Study of Magnetic Field by Using Core Shift for Radio Galaxy 3C 111
K.Shiotani , K.Fujisawa, K.Niinuma (Yamaguchi univ.)
A Study of Magnetic Field by Using Core Shift for Radio Galaxy 3C - - PowerPoint PPT Presentation
A Study of Magnetic Field by Using Core Shift for Radio Galaxy 3C 111 K.Shiotani , K.Fujisawa, K.Niinuma (Yamaguchi univ.) Introduction AGN Jets SMBH Lobe Relativistic jet (~10) Cygnus A radio image for VLA(Image courtesy of NRAO) A
K.Shiotani , K.Fujisawa, K.Niinuma (Yamaguchi univ.)
SMBH Lobe Relativistic jet (Γ~10) Cygnus A radio image for VLA(Image courtesy of NRAO)
A lot of issues has not been clarified
a few kpc ~ Mpc
∼ 1040
⇨magnetically driven model is a most likely model
J.McKinney 2006
Important to estimate the magnetic field strength of the jet
宇宙ジェットの磁気駆動モデルのコンピュータシミュレーション (http://home.hiroshima-u.ac.jp/hasc/news/3c279/index.html , Shibata and Uchida 1986)
Estimating physical parameters (especially the magnetic field) at the pc scale from the observation, constraining the theoretical model Magnetic field can not be measured directly . . .
“Core shift” gives us indirect measurement of magnetic field
k
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DL
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<latexit sha1_base64="yIMBUm1OpaF+vkAbCNAuqnbkPTI=">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</latexit><latexit sha1_base64="yIMBUm1OpaF+vkAbCNAuqnbkPTI=">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</latexit><latexit sha1_base64="yIMBUm1OpaF+vkAbCNAuqnbkPTI=">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</latexit><latexit sha1_base64="b/n4WlFiSX0ZycLEySc82QpEJbU=">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</latexit>: displacement radio core at difference frequency : frequency : luminosity distance : redshift : doppler factor : jet opening angle : the angle between the jet and the line of sight
∆rcore
<latexit sha1_base64="UXw6ZzTxTmJr3d61NvtnwjM4unw=">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</latexit><latexit sha1_base64="UXw6ZzTxTmJr3d61NvtnwjM4unw=">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</latexit><latexit sha1_base64="UXw6ZzTxTmJr3d61NvtnwjM4unw=">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</latexit><latexit sha1_base64="XdTZVTZsQdeUbdcL90Mt9aCYvzI=">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</latexit>1pc
B1pc = 1.45 × 10−8 ✓∆rcoreDLν1ν2 ν2 − ν1 ◆ 3
4 ✓
1 (1 + z)4δ2φ sin2 θ ◆
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Author
Frequency [GHz]
Source sample Number of observations
Kovalev+08
2.3, 8.6
29 ≦3/a source O’sullivan+09
4.6, 5.1, 7.9, 8.9, 12.9,15.4, 22.2, 43.1
6 1/a source Pushkarev+12 8.1, 8.4, 12.1, 15.4 191 12/a source
・High frequency ・Single source/Monitoring
Our observation
&
・Large viewing angle ・The distance is close ・Flare phase ・Single source
VLBA 15GHz Radio Image (MOJAVE project) The light curve of map peak at VLBA 15GHz radio images
To measure the core shift and its time variation, by high-frequency, single target and monitoring
Target Array
Large viewing angle Flare phase
3C 111
High frequency High image quality
KaVA
Epoch Date
Station
1 2018/01/23 IRK, OGA, ISG KYS, KUS 2 2018/04/11 ALL 3 2018/06/03 ALL u,v coverage of Epoch 2
Epoch1 Epoch2 Epoch3
Peak Flux = 2.13 [Jy/beam] Irms = 4.2 [mJy/beam] Peak Flux = 1.35 [Jy/beam] Irms = 8.7 [mJy/beam] Peak Flux = 1.05 [Jy/beam] Irms = 3.8 [mJy/beam]
Epoch1 Epoch2 Epoch3
Peak Flux = 2.13 [Jy/beam] Irms = 4.2 [mJy/beam] Peak Flux = 1.35 [Jy/beam] Irms = 8.7 [mJy/beam] Peak Flux = 1.05 [Jy/beam] Irms = 3.8 [mJy/beam]
Epoch1 Epoch2 Epoch3
Peak Flux = 1.10 [Jy/beam] Irms = 14.3 [mJy/beam] Peak Flux = 0.80 [Jy/beam] Irms = 16.0 [mJy/beam] Peak Flux = 0.71 [Jy/beam] Irms = 12.1 [mJy/beam]
Epoch1 Epoch2 Epoch3
Peak Flux = 1.10 [Jy/beam] Irms = 14.3 [mJy/beam] Peak Flux = 0.80 [Jy/beam] Irms = 16.0 [mJy/beam] Peak Flux = 0.71 [Jy/beam] Irms = 12.1 [mJy/beam]
∆rcore
<latexit sha1_base64="UXw6ZzTxTmJr3d61NvtnwjM4unw=">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</latexit><latexit sha1_base64="UXw6ZzTxTmJr3d61NvtnwjM4unw=">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</latexit><latexit sha1_base64="UXw6ZzTxTmJr3d61NvtnwjM4unw=">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</latexit><latexit sha1_base64="XdTZVTZsQdeUbdcL90Mt9aCYvzI=">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</latexit>Pinned Jet 22 GHz Core 43 GHz Core
DOY Jet Component 23 K1
0.112±0.036 0.210±0.090
23 K2
0.026±0.024 0.070±0.068
101 K2
0.111±0.047 0.208±0.110
154 K1
0.246±0.071 0.380±0.149
B1pc = 1.45 × 10−8 ( ΔrcoreDLν1ν2 ν2 − ν1 )
3 4
( 1 (1 + z)4δ2ϕ sin2 θ) 43 GHz 22 GHz
22GHz 43GHz
τ
1
22GHz 43GHz
τ
1
Thin Thick
22GHz 43GHz
τ
1
Thick
parameter, especially the magnetic field, by using core shift.
associate with phenomenon
B1pc ≈ 0.07 − 0.38[G]
Summary Future