Title: On the multifrequency data analysis of the innerjet regions
1On the multi-frequency data analysis of the
inner-jet regions
On the multi-frequency (de)polarization analysis
- Bong Won Sohn
- Korean VLBI Network
- Korea Astronomy Space Science Institute
2Motivation
- Polarimetry is an important tool for AGN study
- Highlighted by Jorstads talk
- Diversity in polarization/depolarization
- Also in many talks yesterday today
- Polarization information is essential
- Rotation Measure, RM
- Faraday conversion circular polarization
- Fractional linear polarization, m(?)
- Distribution of Faraday medium
- RM, m(?), CP Burn (1966), Gardner Whiteoak
(1966), and many authors
3High freq. VLBI in few years
- Improved phase referencing
- More accurate relative position (Agudo,
yesterday) - Higher resolution VSOP-2
- Higher sensitivity - KVN (multi-freq.), VERA
(dual-beam), big dishes (Yebes, SRT, GBT,
Effelsberg, Nobeyama, ...) - Full polarization mode (VSOP-2, KVN, ...)
- Of course, VLBA should be there!
- Faint objects can be imaged
- e.g. Middelberg et al. (2005) VLBA with freq.
switching phase ref. 0.78mJy/beam NGC4261 at
86GHz - (much more) sensitive (polarization) imaging of
Blazars at high frequency - Recurrent activities in GRGs, Young radio
galaxies - Many other sources...
4KVN phase referencing
- Multi-frequency simultaneous observation
- 22, 43, 86, 129GHz ? longer integration time
More about KVN project Rohs talk
5Motivation
- Polarimetry is an important tool for AGN study
- Highlighted by Jorstads talk
- Diversity in polarization/depolarization
- Also in many talks yesterday
- Polarization information is essential
- Rotation Measure, RM
- Faraday conversion circular polarization
- Fractional linear polarization, m(?)
- Distribution of Faraday medium
6Fractional Polarization
- Polarized flux Ip (Q2U2)0.5
- Fractional polarization m Ip/I
- Depolarization measure (DP) mlow/mhigh
- DP lt 1 depolarized
- DP gt 1 re-polarized
- DP 1 fully resolved Faraday screen
Together with RM, the information of magnetic
field thermal electron distribution
Gardner Whiteoak(1966)
7Positivity of Ip (Q2U2)0.5
- Rice distribution distribution of absolute
value of a Gaussian distribution (V,s) (Vinokur
1965) - For , it becomes a Rayleigh
distribution. - For , it becomes a Gaussian
distribution.
Positive noise added to Ip Overestimation of Ip
at low Ip/s
8Corrections for the Ricean bias
- MLH solution (Killeen et al., 1986) better at gt
6s - the mode solution (Wardle Kronberg, 1974)
better at lt6s
High SNR needed ? By integration By sensitive
observation
Killeen et al. (1986)
9Integrated fractional pol.two methods of
estimation
Simple model source
- Flux weighted
- (in the most papers)
- Projected area weighted ( of pixel)
- Sohn et al. in prep.
mIp/I0.09, I0.9Jy 10 projected area
m0.01, I0.1Jy 90 of projected area
mF0.082, mP 0.018
10Testing the two methodsLaing-Garrington effect
- Higher polarization toward jet-side lobes
- Shorter path length though Faraday screen
- Mostly, if not all, flux weighted measure
Depolarization Measure DP mlow / mhigh Path
length asymmetry leads to DPj gt DPcj
Garrington Conway (1991)
11B2 sample revisitedcomparison between mF mP
Laing-Garrington effect seen clearly in both
cases but less Depol.ed in mP ? Jet/hotspot more
depol.ed than lobes 2 of 14 sources cross the
line Fat double with one-sided jet (to wrong
side) Symmetric double lobes with weak jet (to
right side) What if jets/hot spot removed? (in
work)
14 Radio Galaxies from Morganti et al.(1997) Sohn
et al. (in preparation)
12Summary
- RM DP ? better understanding of Faraday medium
distribution - Caution for DP mF ? mP
- Clear projection effect in DP(mP) as well
- Jets/Hot spots are more depol-ed than lobes
- Jets/Hot spots reduce ironically the
Laing-Garrington effect... - On going works
- Application to VLBI polarimetry
- (with T. Krichbaum, S.S. Lee, A. Witzel, A.
Zensus) - Further test on projection effect
- (with U. Klein, K.-H. Mack, R. Morganti)
13Thank you
Byun and KVN members (2.12.2007) On the first day
of the test observation KVN Ulsan telescope Orion
KL SiO maser at 86GHz