faraday rotation measure synthesis in aips. the new task fars

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Faraday rotation measure synthesis in AIPS. The new task FARS L. Kogan, F. Owen National Radio AstronomyObservatory Socorro, NM USA 22 July 2011 Moscow 22 July 2011 Moscow

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Faraday rotation measure synthesis in AIPS. The new task FARS. L. Kogan, F. Owen National Radio AstronomyObservatory Socorro, NM USA. The observed signal for an example of Faraday rotating media. Faraday rotation measure synthesis. Shifting along the lambda square axis. - PowerPoint PPT Presentation

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Page 1: Faraday rotation measure  synthesis in AIPS.  The new task FARS

Faraday rotation measure synthesis in AIPS. The new task FARS

L. Kogan, F. OwenNational Radio AstronomyObservatory

Socorro, NM USA

22 July 2011 Moscow22 July 2011 Moscow

Page 2: Faraday rotation measure  synthesis in AIPS.  The new task FARS

22 July 2011 Moscow22 July 2011 Moscow 22

The The observedobserved signal for an example of signal for an example of Faraday rotating mediaFaraday rotating media

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Page 3: Faraday rotation measure  synthesis in AIPS.  The new task FARS

Faraday rotation measure synthesis

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22 July 2011 Moscow22 July 2011 Moscow 33

Page 4: Faraday rotation measure  synthesis in AIPS.  The new task FARS

Shifting along the lambda square axis

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22 July 2011 Moscow22 July 2011 Moscow 44

Page 5: Faraday rotation measure  synthesis in AIPS.  The new task FARS

RMTF functions for 8 frequencies in (1-2) GHzThe first row: (Re, Im) for the original set of

The second row: (Re, Im) for the shifted set of

22 July 2011 Moscow22 July 2011 Moscow 55

22

Page 6: Faraday rotation measure  synthesis in AIPS.  The new task FARS

22 July 2011 Moscow22 July 2011 Moscow 66

Example of shift of the UV coverage center.Example of shift of the UV coverage center.

Page 7: Faraday rotation measure  synthesis in AIPS.  The new task FARS

Subtracting real and imaginary parts of the Fourier transform at the position of maximum of its amplitude

.2 ofset original theback to phaseby shifted are components

output but the axis 2 shifted theusing found are componentsclean 5.The

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or iterations ofnumber given theuntil continue and 2 item theReturn to 4.

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22 July 2011 Moscow22 July 2011 Moscow 77

Page 8: Faraday rotation measure  synthesis in AIPS.  The new task FARS

The task carries out:

1. Picks up the U polarization data from the first input image as real and Q polarization data from the second input image, as imaginary of the complex input data2. Fourier transform of the complex input data along the lambda square axis3. Clean out the given number of complex components using the pre -calculated RMTF (as DB)4. The output images (cubes) can be either the full Fourier transform along axis for each image pixel (CLEANed or not CLEANed), or the 3 parameters of the only complex component. Only one output (CUBE) is used at the last case.5. The cleaned components can be convolved with real part of the RMTF(DB), or with the Gaussian of the given FWHM.6. The residual (Re, Im, or Amp) can be sent to the output also.7. The RMTF (DB) function (Re, Im, or Amp) can be sent to the output also under control of input parameters

The AIPS task FARS

22 July 2011 Moscow22 July 2011 Moscow 88

2

Page 9: Faraday rotation measure  synthesis in AIPS.  The new task FARS

The 3 parameters recorded into output image at the case of only one component.

The most typical case.

emission. polarizedlinear theofcomponent orthogonalanother

at )0( brightness initial the toingcorrespond

maximum; amplitude ofposition at the Im of Value.3

emission. polarizedlinear theofcomponent orthogonal

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22 July 2011 Moscow22 July 2011 Moscow

Page 10: Faraday rotation measure  synthesis in AIPS.  The new task FARS

One-D Clean of rotation measure spectrum and following convolution with Gaussian of FWHM=20 1/m^2; Only 8 frequencies were used

The first row: 2 real components: 1. ampl. =0.2 , RM=-80; 2. ampl.= 1.0 , RM =100The second row: 2 complex components:

1. 0.2*expj ( /4)=(0.14+j0.14), RM=-80; 2. 1.0*expj ( /3)=(0.5+j0.86), RM =100 The left column is RE; the right column is IM

22 July 2011 Moscow22 July 2011 Moscow 1010

Page 11: Faraday rotation measure  synthesis in AIPS.  The new task FARS

22 July 2011 Moscow22 July 2011 Moscow 1111

One-DClean of rotation measure spectrum and following convolution with Gaussian of FWHM=20 1/m^2; 101 frequencies are used

2 complex components:1. 0.2*expj(pi/4)=(0.14+j0.14), RM=-80; 2. 1.0*expj(pi/3)=(0.5+j0.86), RM =100 1. 0.2*expj(pi/4)=(0.14+j0.14), RM=-80; 2. 1.0*expj(pi/3)=(0.5+j0.86), RM =100

The left column is RE; the right column is IM

Page 12: Faraday rotation measure  synthesis in AIPS.  The new task FARS

22 July 2011 Moscow22 July 2011 Moscow 1212

CONCLUSIONS

1.The AIPS’ task FARS is ready to serve the users 1.The AIPS’ task FARS is ready to serve the users interesting in Faraday rotation synthesisinteresting in Faraday rotation synthesis

2. The especially good results are expected with EVLA 2. The especially good results are expected with EVLA data, where the better frequency axis filling is expected data, where the better frequency axis filling is expected