Resumen

We investigated the relationship between magnetic field and Faraday rotation effects in the cluster of galaxies Abell 2382. For this purpose we present Very Large Array observations at 20 cm and 6 cm of two polarized radio sources embedded in the cluster, and we obtained detailed rotation measure images for both of them. We produced random three-dimensional magnetic field models with different power spectra and thus produced synthetic rotation measure images. By comparing our simulations with the observed polarization properties of the radio sources, we can determine the strength and the power spectrum of intra-cluster magnetic field luctuations that best reproduce the observations. The data are consistent with a power law magnetic field power spectrum with the Kolmogorov index (n = 11/3), while the outer scale of the magnetic field fluctuations is of the order of 35 kpc. The average magnetic field strength at the cluster center is about 3 μG and decreases in the external region as the square root of the electron density. The average magnetic field strength in the central 1 Mpc^3 is about 1 μG.