Fitting Formula for Flux Scintillation of Compact Radio Sources

Abstract

We present a fitting function to describe the statistics of flux modulations caused by interstellar scintillation. The function models a very general quantity: the cross-correlation of the flux observed from a compact radio source of finite angular size observed at two frequencies and at two positions or times. The formula will be useful for fitting data from sources such as intra-day variables and gamma-ray burst afterglows. These sources are often observed at relatively high frequencies (several gigahertz) where interstellar scattering is neither very strong nor very weak, so that asymptotic formulae are inapplicable.