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High radiation brightness temperatures in active galactic nuclei

The radiation generated in the synchrotron-self-Compton process by a peaked relativistic electron energy distribution is considered. It is found that the brightness temperature T b of the emission can be above 10 12 K when the self-absorption occurs well below the typical synchrotron frequency, so that the energy density in the photons is reduced byt a significant amount compared to the case of complete self-absorption. The results also hold for a more general family of particle distributions with low-energy cutoffs