Space-time analysis of wave propagation through a turbulent medium


  • V. H. Rumsey


The Kolmogorov hypothesis of an inertial range within the spectrum of steady state turbulence is used to show that the space-time structure function for the velocity fluctuations in a fluid has the form of (r4/3 + ∈2/3 t2)½ where r and t are the space and time lags and ∈ the energy, for a reference frame in which the mean velocity is zero. The associated space-time spectra are also derived. Equations for the propagation of the N event space-time correlation functions of the complex electric field are derived assuming that the width of the angular spectrum of plane waves is much less than a radian.