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Photons traveling cosmological distances through the inhomogeneous Universeexperience a great variation in their in-medium induced effective mass. Usingthe EAGLE suite of hydrodynamical simulations, we infer the free electrondistribution and thereby the effective photon mass after reionization. We usethis data to study the inter-conversion of kinetically mixed photons and darkphotons, which may occur at a great number of resonance redshifts, and obtainthe "optical depth" against conversion along random lines-of-sight. UsingCOBE/FIRAS, Planck, and SPT measurements, we constrain the dark photonparameter space from the depletion of CMB photons into dark photons that causesboth spectral distortions and additional anisotropies in the CMB. Finally, wealso consider the conversion of sub-eV dark radiation into ordinary photons. Wemake the line-of-sight distributions of both, free electrons and dark matter,publicly available.

Effective photon mass and (dark) photon conversion in the inhomogeneous Universe