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The aim of the present work is to constrain the Coma cluster magnetic fieldstrength, its radial profile and power spectrum by comparing Faraday RotationMeasure (RM) images with numerical simulations of the magnetic field. We haveanalyzed polarization data for seven radio sources in the Coma cluster fieldobserved with the Very Large Array at 3.6, 6 and 20 cm, and derived FaradayRotation Measures with kiloparsec scale resolution. Random three dimensionalmagnetic field models have been simulated for various values of the centralintensity B_0 and radial power-law slope eta, where eta indicates how the fieldscales with respect to the gas density profile. We derive the central magneticfield strength, and radial profile values that best reproduce the RMobservations. We find that the magnetic field power spectrum is wellrepresented by a Kolmogorov power spectrum with minimum scale ~ 2 kpc andmaximum scale ~ 34 kpc. The central magnetic field strength and radial slopeare constrained to be in the range (B_0=3.9 microG; eta=0.4) and (B_0=5.4microG; eta=0.7) within 1sigma. The best agreement between observations andsimulations is achieved for B_0=4.7 microG; eta=0.5. Values of B_0>7 microG and<3 microG as well as eta < 0.2 and eta > 1.0 are incompatible with RM data at99 % confidence level.

The Coma cluster magnetic field from Faraday rotation measures