Abstract
We have found relations between the temporal and spectral properties of radiation Comptonized in an extended atmosphere associated with compact accreting sources. We demonstrate that the fluctuation power spectrum density (PSD) imposes constraints on the atmosphere scale and profile. Furthermore, we indicate that the slope and low frequency break of the PSD are related to the Thomson depth τ0 of the atmosphere and the radius of its physical size respectively. Since the energy spectrum of the escaping radiation depends also on τ0 (and the electron temperature kTe), the relation between spectral and temporal properties follows. This relation allows for the first time an estimate of the accreting matter Thomson depth τ0 independent of arguments involving Comptonization.
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