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Geophysical Research Letters, vol. 23, no. 25, 15 December 1996

Observations of the unambiguous 2-dimensional horizontal wave number spectrum of OH intensity perturbations

Chester S. Gardner, Mark Coble, George C. Papen, and Gary R. Swenson

Department of Electrical and Computer Engineering
University of Illinois at Urbana-Champaign

Abstract

The unambiguous 2-D horizontal wave number spectrum of gravity wave perturbations in OH emission intensities is computed from imager observations acquired on 2 Feb 1995 at the Starfire Optical Range, NM. The tech-nique involves computing the (w, k, l) = (w, h, f) spectrum of OH images collected over a several hour period, where k is the zonal wave number, l is the meridional wave number, h = (k2 + l2)1/2, f = tanÐ1(k/l), and w is the temporal frequency. The data are used to study the azimuthal distribution of wave energy propagation and the separability of the (h, f) spectrum. The h spectral indices, computed from power-law fits of the 2-D spectrum over the wave number range 2p/(200 km) < h < 2p/(20 km), vary between Ð1.6 and Ð3.6 as a function of f with a mean of Ð2.58. Consequently, the image spectrum is not separable in h and f. We show that nonseparability is most likely associated with distortion of the wave perturbations caused by the viewing geometry at large zenith angles.


Figure 1 Unambiguous 2-D horizontal wave number spectrum of the OH images acquired on 2 Feb 1995.

Figure 2 a) Horizontal wave number spectrum of OH intensity perturbations FOH(h) computed by integrating the 2-D spectrum plotted in Figure 1 over 0 < f < 2p. b) Azimuthal distribution of wave energy FOH(f) computed by integrating the 2-D spectrum plotted in Figure 1 over 2p/(200 km) < h < 2p/(20 km). c) The horizontal wind vector measured by the Na wind/temperature lidar during the observation period.

Figure 3 Variation of h spectral indices and FOH(f) with azimuth. The spectral indices were computed from least-squares power law fits to FOH(h, f) over the wave number range 2p/(200 km) < h < 2p/(20 km) at each 5û increment in f.

Figure 3 FOH(h, f) plotted versus h for f = 145û and 255û.



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