In this study, the diffraction model for on-axis gain calculations of rectangular horn antennas has been improved, mainly through refining the expressions for the aperture fields of the horn to more accurately reflect the astigmatic nature of the wave that emanates from the throat of the horn. As the availability of accurate swept-frequency measurement results for horn antennas is very limited, the method of moments, employing the multilevel fast multipole method, has been used to validate the improved diffraction model for horn antennas with widely varying flare dimensions.