A Bayesian View on Faraday Rotation Maps -- Seeing the Magnetic Power Spectrum in Clusters of Galaxies

Details A Bayesian View on Faraday Rotation Maps -- Seeing the Magnetic Power Spectrum in Clusters of Galaxies A Bayesian View on Faraday Rotation Maps -- Seeing the Magnetic Power Spectrum in Clusters of Galaxies

Dec 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004jkas...37..349v&link_type=abstract

Journal of the Korean Astronomical Society, vol. 37, no. 5, pp. 349-353

Astronomy and Astrophysics

Astronomy

3

Clusters Of Galaxies, Magnetic Fields, Rotational Measure

Scientific paper

Magnetic fields are an important ingredient of galaxy clusters and are indirectly observed on cluster scales as radio haloes and radio relics. One promising method to shed light on the properties of cluster wide magnetic fields is the analysis of Faraday rotation maps of extended extragalactic radio sources. We developed a Fourier analysis for such Faraday rotation maps in order to determine the magnetic power spectra of cluster fields. In an advanced step, here we apply a Bayesian maximum likelihood method to the RM map of the north lobe of Hydra A on the basis of our Fourier analysis and derive the power spectrum of the cluster magnetic field. For Hydra A, we measure a spectral index of -5/3 over at least one order of magnitude implying Kolmogorov type turbulence. We find a dominant scale of about 3 kpc on which the magnetic power is concentrated, since the magnetic autocorrelation length is λ_B = 3 ± 0.5 kpc. Furthermore, we investigate the influences of the assumption about the sampling volume (described by a window function) on the magnetic power spectrum. The central magnetic field strength was determined to be ˜ 7 ± 2 μG for the most likely geometries.

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