Strong scintillations in astrophysics. IV - Cross-correlation between different frequencies and finite bandwidth effects
The cross-correlation of the intensity fluctuations between different frequencies and finite-bandwidth effects on the intensity correlations are calculated based on the Markov approximation. The results may be applied to quite general turbulence spectra for an extended turbulent medium. Calculations of the cross-correlation function and of finite-bandwidth effects are explicitly carried out for both Gaussian and Kolmogorov turbulence spectra. The increases of the correlation scale of intensity fluctuations are different for these two spectra, and the difference can be used to determine whether the interstellar turbulent medium has a Gaussian or a Kolmogorov spectrum.