Radio Galaxy Spectra

Radio spectra of radio galaxies are often ascribed a simple power law form ($S_{\nu} \propto \nu^{\alpha}$) with the spectral index, $\alpha$, being of order -0.7. However, all radio galaxies deviate from this simple power law behaviour. In this paper we derive simple expressions for the average rest-frame spectra of FRI and FRII radio galaxies. These will be used to describe the spectral curvature of the parent (FRI and FRII) populations in models of radio source evolution.