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Astronomy 423 at UNM Radio Astronomy Polarization in Interferometry Greg Taylor University of New Mexico Spring 2011

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Page 1: Polarization in Interferometry - Physics & Astronomygbtaylor/astr423-spring11/lectures/polarization_mar9.pdfPolarization in Interferometry Greg Taylor University of New Mexico Spring

Astronomy 423 at UNM Radio Astronomy

Polarization in Interferometry

Greg Taylor University of New Mexico Spring 2011

Page 2: Polarization in Interferometry - Physics & Astronomygbtaylor/astr423-spring11/lectures/polarization_mar9.pdfPolarization in Interferometry Greg Taylor University of New Mexico Spring

G. Taylor, Astr 423 at UNM

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•  Hanny’s Voorwerp – EVLA – Mesler, Brown, Abbar •  CSO HI absorption – VLBA – Tremblay, Gibson •  3C321 Active Galaxy – EVLA – Saba, Freeland, Romero

•  Writeup – look at the example. Be sure to include: •  Title, Authors, Abstract, Introduction, Observations, Analysis, Results, Discussion, Conclusions and Future Work, Acknowledgements, References •  One write-up for each project. Everybody in the group should be involved

•  Presentation – Will be in powerpoint, keynote, or similar. Includes: •  Title, Authors, Acknowledgements, Introduction, Observations, Analysis, Results, Discussion, Conclusions and Future Work •  Plan for ~30 minutes total with everybody getting involved in the presentation

Projects

Page 3: Polarization in Interferometry - Physics & Astronomygbtaylor/astr423-spring11/lectures/polarization_mar9.pdfPolarization in Interferometry Greg Taylor University of New Mexico Spring

G. Taylor, Astr 423 at UNM

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•  What is polarized light? •  What fun science can be done with polarimetry? •  How do interferometers measure polarization? •  How do you calibrate and image in full polarization?

Outline

Page 4: Polarization in Interferometry - Physics & Astronomygbtaylor/astr423-spring11/lectures/polarization_mar9.pdfPolarization in Interferometry Greg Taylor University of New Mexico Spring

G. Taylor, Astr 423 at UNM

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Page 5: Polarization in Interferometry - Physics & Astronomygbtaylor/astr423-spring11/lectures/polarization_mar9.pdfPolarization in Interferometry Greg Taylor University of New Mexico Spring

G. Taylor, Astr 423 at UNM

5 What is Polarized Light? •  Light is oscillating electric and magnetic fields •  Polarization is labeled by the shape of the trace of the tip of the E vector •  Each polarization has an orthogonal state •  Incoherent light can contain many polarization states

Stokes Parameters describe partially polarized light

Alternate representation:

•  pol. angle (EVPA) φ = 0.5 atan (U/Q) •  polarized intensity p = sqrt(Q2 + U2) •  fractional linear m = p / I •  fractional circular v = |V | / I

I = RR + LL Q = RL + LR U = i(LR – RL) V = LL - RR

For circular feeds

Page 6: Polarization in Interferometry - Physics & Astronomygbtaylor/astr423-spring11/lectures/polarization_mar9.pdfPolarization in Interferometry Greg Taylor University of New Mexico Spring

G. Taylor, Astr 423 at UNM

6 3C 31 VLA @ 8.4 GHz

E-Vectors Laing (1996)

3 kpc

Page 7: Polarization in Interferometry - Physics & Astronomygbtaylor/astr423-spring11/lectures/polarization_mar9.pdfPolarization in Interferometry Greg Taylor University of New Mexico Spring

G. Taylor, Astr 423 at UNM

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Cygnus A B-Vectors VLA @ 8.5 GHz

Perley & Carilli (1996)

10 kpc

Page 8: Polarization in Interferometry - Physics & Astronomygbtaylor/astr423-spring11/lectures/polarization_mar9.pdfPolarization in Interferometry Greg Taylor University of New Mexico Spring

G. Taylor, Astr 423 at UNM

8 Attridge et al 1999

VLBA @ 5 GHz

1055+018

Page 9: Polarization in Interferometry - Physics & Astronomygbtaylor/astr423-spring11/lectures/polarization_mar9.pdfPolarization in Interferometry Greg Taylor University of New Mexico Spring

G. Taylor, Astr 423 at UNM

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Page 10: Polarization in Interferometry - Physics & Astronomygbtaylor/astr423-spring11/lectures/polarization_mar9.pdfPolarization in Interferometry Greg Taylor University of New Mexico Spring

G. Taylor, Astr 423 at UNM

10 R Aquirrii

Stellar SiO Masers Boboltz et al 1998

VLBA @ 43 GHz

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G. Taylor, Astr 423 at UNM

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Page 12: Polarization in Interferometry - Physics & Astronomygbtaylor/astr423-spring11/lectures/polarization_mar9.pdfPolarization in Interferometry Greg Taylor University of New Mexico Spring

G. Taylor, Astr 423 at UNM

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15 12 8 GHz

Taylor (1998)

Page 13: Polarization in Interferometry - Physics & Astronomygbtaylor/astr423-spring11/lectures/polarization_mar9.pdfPolarization in Interferometry Greg Taylor University of New Mexico Spring

G. Taylor, Astr 423 at UNM

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Page 14: Polarization in Interferometry - Physics & Astronomygbtaylor/astr423-spring11/lectures/polarization_mar9.pdfPolarization in Interferometry Greg Taylor University of New Mexico Spring

G. Taylor, Astr 423 at UNM

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G. Taylor, Astr 423 at UNM

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See Review of “Cluster Magnetic Fields” by Carilli & Taylor 2002 (ARA&A)

Page 16: Polarization in Interferometry - Physics & Astronomygbtaylor/astr423-spring11/lectures/polarization_mar9.pdfPolarization in Interferometry Greg Taylor University of New Mexico Spring

G. Taylor, Astr 423 at UNM

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G. Taylor, Astr 423 at UNM

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G. Taylor, Astr 423 at UNM

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Parallactic Angle

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G. Taylor, Astr 423 at UNM

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G. Taylor, Astr 423 at UNM

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G. Taylor, Astr 423 at UNM

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G. Taylor, Astr 423 at UNM

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G. Taylor, Astr 423 at UNM

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G. Taylor, Astr 423 at UNM

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G. Taylor, Astr 423 at UNM

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G. Taylor, Astr 423 at UNM

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G. Taylor, Astr 423 at UNM

27 Bad D-term solution Good D-term solution

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G. Taylor, Astr 423 at UNM

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G. Taylor, Astr 423 at UNM

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Compact Symmetric

Objects (CSOs)

VLBA @ 8.4 GHz

Peck & Taylor (2001)

Page 30: Polarization in Interferometry - Physics & Astronomygbtaylor/astr423-spring11/lectures/polarization_mar9.pdfPolarization in Interferometry Greg Taylor University of New Mexico Spring

G. Taylor, Astr 423 at UNM

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Practical VLBI polarization angle calibration

Page 31: Polarization in Interferometry - Physics & Astronomygbtaylor/astr423-spring11/lectures/polarization_mar9.pdfPolarization in Interferometry Greg Taylor University of New Mexico Spring

G. Taylor, Astr 423 at UNM

31 1) Find a Calibrator

Page 32: Polarization in Interferometry - Physics & Astronomygbtaylor/astr423-spring11/lectures/polarization_mar9.pdfPolarization in Interferometry Greg Taylor University of New Mexico Spring

G. Taylor, Astr 423 at UNM

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2) Estimate φ_VLA

Page 33: Polarization in Interferometry - Physics & Astronomygbtaylor/astr423-spring11/lectures/polarization_mar9.pdfPolarization in Interferometry Greg Taylor University of New Mexico Spring

G. Taylor, Astr 423 at UNM

33 2200+420 3) Sum Q and U over

VLBA image.

4) Compute φ VLBA = 0.5 atan (U/Q)

5) Rotate VLBA data by (φ_VLA – φ_VLBA)

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G. Taylor, Astr 423 at UNM

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