Pacman (I): A new Algorithm to calculate Faraday Rotation Maps

Abstract

We propose a new method to calculate Faraday rotation measure maps from multi-frequency polarisation angle data. In order to solve the so called n-pi ambiguity problem which arises from the observationally ambiguity of the polarisation angle which is only determined up to additions of +-n*pi, where n is an integer, we suggest using a global scheme. Instead of solving the n-pi ambiguity for each data point independently, our algorithm, which we chose to call "Pacman" (Polarisation Angle Correcting rotation Measure ANalysis), solves the n-pi ambiguity for a high signal-to-noise region ``democratically'' and uses this information to assist computations in adjacent low signal-to-noise areas.

revised version, accepted, MNRAS in press

References in corpus (2)

• Measuring the Cluster Magnetic Field Power Spectra from Faraday Rotation Maps of Abell 400, Abell 2634 and Hydra A
• The Magnetic Power Spectrum in Faraday Rotation Screens

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• The Westerbork SINGS Survey II. Polarization, Faraday Rotation, and Magnetic Fields
• The intracluster magnetic field power spectrum in Abell 2255
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• The "toothbrush-relic": evidence for a coherent linear 2-Mpc scale shock wave in a massive merging galaxy cluster?
• The Southern Galactic Plane Survey: Polarized Radio Continuum Observations and Analysis
• The intracluster magnetic field power spectrum in Abell 2382
• Revealing the magnetic field in a distant galaxy cluster: discovery of the complex radio emission from MACS J0717.5 +3745
• Structures of the magnetoionic media around the FR I radio galaxies 3C 31 and Hydra A
• Magnetic turbulence in cool cores of galaxy clusters
• Rotation Measures of Radio Sources in Hot Galaxy Clusters
• Measurements and simulation of Faraday rotation across the Coma radio relic
• Sardinia Radio Telescope observations of Abell 194 - the intra-cluster magnetic field power spectrum
• Magnetic power spectra from Faraday rotation maps - REALMAF and its use on Hydra A
• Observations of magnetic fields in regular and irregular clusters
• Probing cluster magnetism with embedded and background radio sources in Planck clusters
• The MeerKAT Fornax Survey IV. A close look at the cluster physics through the densest rotation measure grid
• The Co-Evolution of a Magnetized Intracluster Medium and Hot Galactic Coronae: Magnetic Field Amplification and Turbulence Generation
• Classifying Complex Faraday Spectra with Convolutional Neural Networks
• Polarised radiative transfer, rotation measure fluctuations and large-scale magnetic fields
• Faraday rotation variations along radio jets: the magnetic field in galaxy and group halos