He Gao, Wei-Hua Lei, Bing Zhang
Optically thin synchrotron self-Compton (SSC) is an important emission mechanism in many astronomical sources, such as gamma-ray bursts (GRBs) and active galactic nuclei (AGNs). We present a complete presentation of the analytical approximations of the SSC spectra, for all the possible orders of the characteristic synchrotron spectral breaks (\nu_a, \nu_m, and \nu_c). In general, the shape of the SSC component broadly resemble that of the synchrotron component, but with the following new features: (1) The SSC flux increase linearly with frequency up to the SSC break frequency corresponding to the self-absorption frequency \nu_a; (2) For the cases which \nu_a is the largest, one new segment with \nu^{(1-p)/2} dependence appears in the SSC spectrum, caused by the break in the electron energy distribution N(\gamma); (3) The presence of a logarithmic term in the high-frequency range of the SSC spectra makes it harder than the power-law estimation.
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http://arxiv.org/abs/1204.1386
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