Investigation of the effects of nonhomogeneous (or nonstationary) behavior on the spectra of atmospheric turbulence
A new series expansion of the instantaneous power spectrum is used that has for its first term the usual quasi-stationary spectrum approximation. The minimum duration of a burst of turbulence and the minimum rise time of an abrupt onset of turbulence that will not give rise to changes in the spectrum due to the nonstationary behavior are determined. A general criterion for envelope behavior that will not give rise to changes in the spectrum is also determined. Spectra computed from recorded turbulence time histories are shown to be consistent with the theoretical predictions.
Mark, W. D.↗