Modeling synchrotron emission from galaxies and the extragalactic radio background

Normal galaxies and radio galaxies are associated with star-formation and active galactic nuclei (AGN), respectively. These galaxies are considered to be the primary source of extra-galactic radio emissions permeating throughout the universe. The dominant mechanism responsible for this radio emission is synchrotron radiation due to relativistic electrons interacting with the galactic magnetic field. In this study, we calculate the radio spectra from these galaxies. We use observations from the source count population data, which influence the selection of the appropriate radio luminosity function. Finally, we calculate the intensity of the diffuse extra-galactic radio background using the ΛCDM cosmology.