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Magnetic fields are ubiquitous in galaxy clusters, yet their radial profile,power spectrum, and connection to host cluster properties are poorly known.Merging galaxy clusters hosting diffuse polarized emission in the form of radiorelics offer a unique possibility to study the magnetic fields in these complexsystems. In this paper, we investigate the intra-cluster magnetic field inAbell 2345. This cluster hosts two radio relics that we detected inpolarization with 1-2 GHz JVLA observations. X-ray XMM-Newton images show avery disturbed morphology. We derived the Rotation Measure (RM) of fivepolarized sources within $\sim$ 1 Mpc from the cluster center applying the RMsynthesis. Both, the average RM and the RM dispersion radial profiles probe thepresence of intra-cluster magnetic fields. Using the thermal electron densityprofile derived from X-ray analysis and simulating a 3D magnetic field withfluctuations following a power spectrum derived from magneto-hydrodynamicalcosmological simulations, we build mock RM images of the cluster. Weconstrained the magnetic field profile in the eastern radio relic sector bycomparing simulated and observed RM images. We find that, within the frameworkof our model, the data require a magnetic field scaling with thermal electrondensity as $B(r)\propto n_e(r)$. The best model has a central magnetic field(within a 200 kpc radius) of $2.8\pm0.1$ $\mu$G. The average magnetic field atthe position of the eastern relic is $\sim$0.3 $\mu$G, a factor 2.7 lower thanthe equipartition estimate.

The intra-cluster magnetic field in the double relic galaxy cluster Abell 2345